ALEX Lesson Plans
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Title: How Long Will It Take?
Description:
In this lesson, students will participate in a group activity using a sponge ball and a growing human circle. The students will be added to a circle in groups of two and will pass the sponge ball from hand to hand until it returns to the "starting" hand; all while being timed. The data will be recorded each time a new group is added to the circle. At the end of the activity the students will be able to construct a scattered plot, using Illuminations, as well as, make a prediction about the future. This activity will help students interpret relative frequencies.
Standard(s): [MA2013] (6) 26: Understand that a set of data collected to answer a statistical question has a distribution which can be described by its center, spread, and overall shape. [6SP2] [MA2013] (6) 28: Display numerical data in plots on a number line, including dot plots, histograms, and box plots. [6SP4] [MA2013] (6) 29: Summarize numerical data sets in relation to their context, such as by: [6SP5] [TC2] (68) 2: Publish digital products that communicate curriculum concepts.
Subject: Mathematics (6), or Technology Education (6  8)
Title: How Long Will It Take?
Description: In this lesson, students will participate in a group activity using a sponge ball and a growing human circle. The students will be added to a circle in groups of two and will pass the sponge ball from hand to hand until it returns to the "starting" hand; all while being timed. The data will be recorded each time a new group is added to the circle. At the end of the activity the students will be able to construct a scattered plot, using Illuminations, as well as, make a prediction about the future. This activity will help students interpret relative frequencies.
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Title: Lip Balm Science
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During this lesson, students will make three types of lip balm. They will then predict which lip balm they think will be preferred by testers and test that prediction by collecting data from testers who sample the lip balms. They will analyze the data to check their predictions.
This lesson is a collaboration lesson between Margaret Rice and Kay Emfinger.
Standard(s): [S1] (5) 1: Identify evidence of chemical changes through color, gas formation, solid formation, and temperature change. [MA2013] (6) 28: Display numerical data in plots on a number line, including dot plots, histograms, and box plots. [6SP4] [MA2013] (6) 29: Summarize numerical data sets in relation to their context, such as by: [6SP5] [MA2013] (7) 20: Use measures of center and measures of variability for numerical data from random samples to draw informal comparative inferences about two populations. [7SP4]
Subject: Mathematics (6  7), or Science (5)
Title: Lip Balm Science
Description: During this lesson, students will make three types of lip balm. They will then predict which lip balm they think will be preferred by testers and test that prediction by collecting data from testers who sample the lip balms. They will analyze the data to check their predictions.
This lesson is a collaboration lesson between Margaret Rice and Kay Emfinger.
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Title: Who Bounces Best?
Description:
This is a cooperative learning, kinesthetic and presentation lesson. Students will use the computer to create graphs/charts to display data collected by counting the number of successful bounces when bouncing a basketball for 30 seconds. Students will make predictions and explain them.
Standard(s): [MA2013] (6) 28: Display numerical data in plots on a number line, including dot plots, histograms, and box plots. [6SP4] [MA2013] (6) 29: Summarize numerical data sets in relation to their context, such as by: [6SP5]
Subject: Mathematics (6)
Title: Who Bounces Best?
Description: This is a cooperative learning, kinesthetic and presentation lesson. Students will use the computer to create graphs/charts to display data collected by counting the number of successful bounces when bouncing a basketball for 30 seconds. Students will make predictions and explain them.
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Title: Getting to Know Your Classmates Using Bar Graphs
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Students will collect data from class using surveys. Students survey classmates concerning favorite movies, favorite color, shoe size, time spent studying, brand of cell phone and etc. From the data they will create bar graphs using an Illuminations website. Students will post printed bar graphs on the word wall as examples of bar graphs. They will discuss bar graph results to class.
Students will find data for their own school and draw a bar graph. Students can use any data that is provided for their own school. For example, data can be organized to graph students per grade in their own school.
Standard(s): [MA2013] (6) 28: Display numerical data in plots on a number line, including dot plots, histograms, and box plots. [6SP4]
Subject: Mathematics (6)
Title: Getting to Know Your Classmates Using Bar Graphs
Description: Students will collect data from class using surveys. Students survey classmates concerning favorite movies, favorite color, shoe size, time spent studying, brand of cell phone and etc. From the data they will create bar graphs using an Illuminations website. Students will post printed bar graphs on the word wall as examples of bar graphs. They will discuss bar graph results to class.
Students will find data for their own school and draw a bar graph. Students can use any data that is provided for their own school. For example, data can be organized to graph students per grade in their own school.
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Title: M & M's Probability (extension of M and M's Math)
Description:
The activity incorporates the M and M's Internet Website into a probability activities involving the most prevalent colors. This lesson allows students to create virtual bar graphs with M and M's.
Standard(s): [MA2013] (6) 28: Display numerical data in plots on a number line, including dot plots, histograms, and box plots. [6SP4] [MA2013] (6) 3: Use ratio and rate reasoning to solve realworld and mathematical problems, e.g., by reasoning about tables of equivalent ratios, tape diagrams, double number line diagrams, or equations. [6RP3]
Subject: Mathematics (6)
Title: M & M's Probability (extension of M and M's Math)
Description: The activity incorporates the M and M's Internet Website into a probability activities involving the most prevalent colors. This lesson allows students to create virtual bar graphs with M and M's.
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Title: Misleading Graphs Are Da'PITS!
Description:
In this interactive lesson, students will discover how creating an incorrect graph will display misleading information. Through viewing and discussing a variety of graphs, the students will identify 5 components that graphs must contain to be accurate. The students will explore a variety of graphs and examine them to determine if the graphs are misleading.
This lesson plan was created by exemplary Alabama Math Teachers through the AMSTI project.
Standard(s): [MA2013] (6) 28: Display numerical data in plots on a number line, including dot plots, histograms, and box plots. [6SP4]
Subject: Mathematics (6)
Title: Misleading Graphs Are Da'PITS!
Description: In this interactive lesson, students will discover how creating an incorrect graph will display misleading information. Through viewing and discussing a variety of graphs, the students will identify 5 components that graphs must contain to be accurate. The students will explore a variety of graphs and examine them to determine if the graphs are misleading.
This lesson plan was created by exemplary Alabama Math Teachers through the AMSTI project.
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Title: Great Golly Graphs
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This activity allows students to create their own survey question and ask people around the school to see the results. Students will take the results and display it in several types of graphs. The class will also discuss biased graphs and survey questions.
This lesson plan was created as a result of the Girls Engaged in Math and Science University, GEMSU Project.
Standard(s): [TC2] (68) 5: Use basic features of word processing, spreadsheets, databases, and presentation software. [MA2013] (6) 28: Display numerical data in plots on a number line, including dot plots, histograms, and box plots. [6SP4] [MA2013] (6) 29: Summarize numerical data sets in relation to their context, such as by: [6SP5] [MA2013] (7) 20: Use measures of center and measures of variability for numerical data from random samples to draw informal comparative inferences about two populations. [7SP4]
Subject: Mathematics (6  7), or Technology Education (6  8)
Title: Great Golly Graphs
Description: This activity allows students to create their own survey question and ask people around the school to see the results. Students will take the results and display it in several types of graphs. The class will also discuss biased graphs and survey questions.
This lesson plan was created as a result of the Girls Engaged in Math and Science University, GEMSU Project.
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Title: My Peanut Butter is Better Than Yours!
Description:
The students will engage in the process of statistical data comparing data using tables and scatterplots. The students will compare data using measures of center (mean and median) and measures of spread (range). This lesson can be done with the worksheet or adapted to let the students use a graphing calculator to create their own scatter plot from the data table. This lesson is modified and adapted from Samples and Populations, Connected Math, Prentice Hall Publisher.This lesson plan was created as a result of the Girls Engaged in Math and Science, GEMS Project funded by the Malone Family Foundation.
Standard(s): [MA2013] (6) 28: Display numerical data in plots on a number line, including dot plots, histograms, and box plots. [6SP4] [MA2013] (7) 4: Apply and extend previous understandings of addition and subtraction to add and subtract rational numbers; represent addition and subtraction on a horizontal or vertical number line diagram. [7NS1] [MA2013] (7) 8: Understand that rewriting an expression in different forms in a problem context can shed light on the problem, and how the quantities in it are related. [7EE2] [MA2013] (7) 20: Use measures of center and measures of variability for numerical data from random samples to draw informal comparative inferences about two populations. [7SP4] [MA2013] (8) 25: Construct and interpret scatter plots for bivariate measurement data to investigate patterns of association between two quantities. Describe patterns such as clustering, outliers, positive or negative association, linear association, and nonlinear association. [8SP1] [MA2013] AL1 (912) 46: Interpret the slope (rate of change) and the intercept (constant term) of a linear model in the context of the data. [SID7] [MA2013] PRE (912) 42: Compute (using technology) and interpret the correlation coefficient of a linear fit. [SID8]
Subject: Mathematics (6  12)
Title: My Peanut Butter is Better Than Yours!
Description: The students will engage in the process of statistical data comparing data using tables and scatterplots. The students will compare data using measures of center (mean and median) and measures of spread (range). This lesson can be done with the worksheet or adapted to let the students use a graphing calculator to create their own scatter plot from the data table. This lesson is modified and adapted from Samples and Populations, Connected Math, Prentice Hall Publisher.This lesson plan was created as a result of the Girls Engaged in Math and Science, GEMS Project funded by the Malone Family Foundation.
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Title: The Name Game (incorporates measures of central tendency and probability).
Description:
This Investigation is adapted from the Connected Math Unit "Data About Us". This investigation develops some introductory statistical and probability techniques. Students collect and organize data about the numbers of letters in their names. This openended problem will help you to assess the techniques your students have developed to organize, summarize and display data.This lesson plan was created as a result of the Girls Engaged in Math and Science, GEMS Project funded by the Malone Family Foundation.
Standard(s): [AED] VA1 (712) 3: Apply steps artists use in the production of art, including conceptualizing ideas and forms, refining ideas and forms, and reflecting on and evaluating both the process of production and the product. [MA2013] (6) 26: Understand that a set of data collected to answer a statistical question has a distribution which can be described by its center, spread, and overall shape. [6SP2] [MA2013] (6) 27: Recognize that a measure of center for a numerical data set summarizes all of its values with a single number, while a measure of variation describes how its values vary with a single number. [6SP3] [MA2013] (6) 28: Display numerical data in plots on a number line, including dot plots, histograms, and box plots. [6SP4] [MA2013] (6) 29: Summarize numerical data sets in relation to their context, such as by: [6SP5] [MA2013] (7) 21: Understand that the probability of a chance event is a number between 0 and 1 that expresses the likelihood of the event occurring. Larger numbers indicate greater likelihood. A probability near 0 indicates an unlikely event, a probability around ^{1}/_{2} indicates an event that is neither unlikely nor likely, and a probability near 1 indicates a likely event. [7SP5] [MA2013] (7) 22: Approximate the probability of a chance event by collecting data on the chance process that produces it and observing its longrun relative frequency, and predict the approximate relative frequency given the probability. [7SP6] [MA2013] (7) 23: Develop a probability model and use it to find probabilities of events. Compare probabilities from a model to observed frequencies; if the agreement is not good, explain possible sources of the discrepancy. [7SP7] [MA2013] (7) 24: Find probabilities of compound events using organized lists, tables, tree diagrams, and simulation. [7SP8]
Subject: Arts Education (7  12), or Mathematics (6  7)
Title: The Name Game (incorporates measures of central tendency and probability).
Description: This Investigation is adapted from the Connected Math Unit "Data About Us". This investigation develops some introductory statistical and probability techniques. Students collect and organize data about the numbers of letters in their names. This openended problem will help you to assess the techniques your students have developed to organize, summarize and display data.This lesson plan was created as a result of the Girls Engaged in Math and Science, GEMS Project funded by the Malone Family Foundation.
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Title: Representing Possibilities
Description:
The students will work through problems that will be represented in tables, equations, and graphs. This lesson was adapted from NCTM Student Math Notes, May/June 2007.This lesson plan was created as a result of the Girls Engaged in Math and Science, GEMS Project funded by the Malone Family Foundation.
Standard(s): [MA2013] (6) 28: Display numerical data in plots on a number line, including dot plots, histograms, and box plots. [6SP4] [MA2013] (6) 29: Summarize numerical data sets in relation to their context, such as by: [6SP5]
Subject: Mathematics (6)
Title: Representing Possibilities
Description: The students will work through problems that will be represented in tables, equations, and graphs. This lesson was adapted from NCTM Student Math Notes, May/June 2007.This lesson plan was created as a result of the Girls Engaged in Math and Science, GEMS Project funded by the Malone Family Foundation.
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Title: Calculating the mean, mode, median and range using spreadsheet software
Description:
This lesson plan involves using spreadsheet software to aid in calculating the mean, mode, median, and range of the distance each student in the class travels from home to school each day. It also involves comparing the use of spreadsheet software for calculations versus doing calculations by hand. It will also help students better understand spreadsheet software including terminology and functions.
Standard(s): [TC2] (68) 5: Use basic features of word processing, spreadsheets, databases, and presentation software. [TC2] (68) 6: Select specific digital tools for completing curriculumrelated tasks. [MA2013] (6) 28: Display numerical data in plots on a number line, including dot plots, histograms, and box plots. [6SP4] [MA2013] (6) 29: Summarize numerical data sets in relation to their context, such as by: [6SP5]
Subject: Mathematics (6), or Technology Education (6  8)
Title: Calculating the mean, mode, median and range using spreadsheet software
Description: This lesson plan involves using spreadsheet software to aid in calculating the mean, mode, median, and range of the distance each student in the class travels from home to school each day. It also involves comparing the use of spreadsheet software for calculations versus doing calculations by hand. It will also help students better understand spreadsheet software including terminology and functions.
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Title: Hardships During the Great Depression
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Students will be divided into groups of 2 or more. Each group will be given a choice of jobs that were available during the 1930s. Students will learn to manage their cost of living and household expenses.
Standard(s): [TC2] (68) 9: Practice responsible and legal use of technology systems and digital content. [TC2] (68) 11: Use digital tools and strategies to locate, collect, organize, evaluate, and synthesize
information. [MA2013] (6) 25: Recognize a statistical question as one that anticipates variability in the data related to the question and accounts for it in the answers. [6SP1] [MA2013] (6) 28: Display numerical data in plots on a number line, including dot plots, histograms, and box plots. [6SP4] [SS2010] USS6 (6) 2: Describe reform movements and changing social conditions during the Progressive Era in the United States. [SS2010] USS6 (6) 4: Identify cultural and economic developments in the United States from 1900 through the 1930s. [SS2010] USS6 (6) 5: Explain causes and effects of the Great Depression on the people of the United States.
Subject: Mathematics (6), or Social Studies (6), or Technology Education (6  8)
Title: Hardships During the Great Depression
Description: Students will be divided into groups of 2 or more. Each group will be given a choice of jobs that were available during the 1930s. Students will learn to manage their cost of living and household expenses.
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Title: Watch That Plant Grow
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This lesson allows students to explore horticulture within a controlled environment, a greenhouse. Students engage in handson activities as they grow their own plants and chart data concerning the conditions related to plant growth in a greenhouse. The data collected is recorded on a spreadsheet to aid in growth prediction over a specified amount of time. This lesson should precede other lessons regarding research on plants grown in a greenhouse.
Standard(s): [S1] (8) 1: Identify steps within the scientific process. [TC2] (68) 5: Use basic features of word processing, spreadsheets, databases, and presentation software. [TC2] (68) 6: Select specific digital tools for completing curriculumrelated tasks. [TC2] (68) 11: Use digital tools and strategies to locate, collect, organize, evaluate, and synthesize
information. [MA2013] (5) 10: Add, subtract, multiply, and divide decimals to hundredths, using concrete models or drawings and strategies based on place value, properties of operations, and/or the relationship between addition and subtraction; relate the strategy to a written method, and explain the reasoning used. [5NBT7] [MA2013] (5) 11: Add and subtract fractions with unlike denominators (including mixed numbers) by replacing given fractions with equivalent fractions in such a way as to produce an equivalent sum or difference of fractions with like denominators. [5NF1] [MA2013] (5) 12: Solve word problems involving addition and subtraction of fractions referring to the same whole, including cases of unlike denominators, e.g., by using visual fraction models or equations to represent the problem. Use benchmark fractions and number sense of fractions to estimate mentally, and assess the reasonableness of answers. [5NF2] [MA2013] (6) 6: Fluently add, subtract, multiply, and divide multidigit decimals using the standard algorithm for each operation. [6NS3] [MA2013] (6) 28: Display numerical data in plots on a number line, including dot plots, histograms, and box plots. [6SP4] [MA2013] (6) 29: Summarize numerical data sets in relation to their context, such as by: [6SP5]
Subject: Mathematics (5  6), or Science (8), or Technology Education (6  8)
Title: Watch That Plant Grow
Description: This lesson allows students to explore horticulture within a controlled environment, a greenhouse. Students engage in handson activities as they grow their own plants and chart data concerning the conditions related to plant growth in a greenhouse. The data collected is recorded on a spreadsheet to aid in growth prediction over a specified amount of time. This lesson should precede other lessons regarding research on plants grown in a greenhouse.
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Title: Now You See Me...Now You Don't!
Description:
An animal’s physical characteristics, such as its body color, may give it a better chance of survival. For example, the body colors of many animals blend with their background. In this investigation, students will see that body color may help some animals survive by making them nearly invisible to predators. This lesson is designed to introduce students to the concept of camouflage as an animal adaptation.
Standard(s): [S1] (4) 5: Describe the interdependence of plants and animals. [TC2] (35) 8: Collect information from a variety of digital sources. [MA2013] (6) 28: Display numerical data in plots on a number line, including dot plots, histograms, and box plots. [6SP4] [MA2013] (5) 3: Generate two numerical patterns using two given rules. Identify apparent relationships between corresponding terms. Form ordered pairs consisting of corresponding terms from the two patterns, and graph the ordered pairs on a coordinate plane. [5OA3] [MA2013] (3) 18: Draw a scaled picture graph and a scaled bar graph to represent a data set with several categories. Solve one and twostep "how many more" and "how many less" problems using information presented in scaled bar graphs. [3MD3]
Subject: Mathematics (3  6), or Science (4), or Technology Education (3  5)
Title: Now You See Me...Now You Don't!
Description: An animal’s physical characteristics, such as its body color, may give it a better chance of survival. For example, the body colors of many animals blend with their background. In this investigation, students will see that body color may help some animals survive by making them nearly invisible to predators. This lesson is designed to introduce students to the concept of camouflage as an animal adaptation.
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Title: Information Represented Graphically
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In this threelesson unit, from Illuminations, students participate in activities in which they analyze information represented graphically. Students are asked to discuss, describe, read, and write about the graphs and the information they contain.
Standard(s): [MA2013] (1) 18: Organize, represent, and interpret data with up to three categories; ask and answer questions about the total number of data points, how many in each category, and how many more or less are in one category than in another. [1MD4] [MA2013] (3) 18: Draw a scaled picture graph and a scaled bar graph to represent a data set with several categories. Solve one and twostep "how many more" and "how many less" problems using information presented in scaled bar graphs. [3MD3] [MA2013] (3) 19: Generate measurement data by measuring lengths using rulers marked with halves and fourths of an inch. Show the data by making a line plot where the horizontal scale is marked off in appropriate units — whole numbers, halves, or quarters. [3MD4] [MA2013] (4) 22: Make a line plot to display a data set of measurements in fractions of a unit (^{1}/_{2}, ^{1}/_{4}, ^{1}/_{8}). Solve problems involving addition and subtraction of fractions by using information presented in line plots. [4MD4] [MA2013] (5) 19: Make a line plot to display a data set of measurements in fractions of a unit (^{1}/_{2}, ^{1}/_{4}, ^{1}/_{8}).
Use operations on fractions for this grade to solve problems involving information presented in line plots. [5MD2] [MA2013] (6) 25: Recognize a statistical question as one that anticipates variability in the data related to the question and accounts for it in the answers. [6SP1] [MA2013] (6) 26: Understand that a set of data collected to answer a statistical question has a distribution which can be described by its center, spread, and overall shape. [6SP2] [MA2013] (6) 27: Recognize that a measure of center for a numerical data set summarizes all of its values with a single number, while a measure of variation describes how its values vary with a single number. [6SP3] [MA2013] (6) 28: Display numerical data in plots on a number line, including dot plots, histograms, and box plots. [6SP4] [MA2013] (6) 29: Summarize numerical data sets in relation to their context, such as by: [6SP5] [MA2013] (7) 17: Understand that statistics can be used to gain information about a population by examining a sample of the population; generalizations about a population from a sample are valid only if the sample is representative of that population. Understand that random sampling tends to produce representative samples and support valid inferences. [7SP1] [MA2013] (7) 18: Use data from a random sample to draw inferences about a population with an unknown characteristic of interest. Generate multiple samples (or simulated samples) of the same size to gauge the variation in estimates or predictions. [7SP2]
Subject: Mathematics Title: Information Represented Graphically
Description: In this threelesson unit, from Illuminations, students participate in activities in which they analyze information represented graphically. Students are asked to discuss, describe, read, and write about the graphs and the information they contain. Thinkfinity Partner: Illuminations Grade Span: K,PreK,1,2,3,4,5,6,7,8
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Title: Count on Math
Description:
In this unit of two lessons, from Illuminations, students develop number sense through activities involving collection, representation, and analysis of data. In addition, students practice reading and writing large numbers and use estimation to arrive at appropriate answers.
Standard(s): [MA2013] (3) 19: Generate measurement data by measuring lengths using rulers marked with halves and fourths of an inch. Show the data by making a line plot where the horizontal scale is marked off in appropriate units — whole numbers, halves, or quarters. [3MD4] [MA2013] (4) 22: Make a line plot to display a data set of measurements in fractions of a unit (^{1}/_{2}, ^{1}/_{4}, ^{1}/_{8}). Solve problems involving addition and subtraction of fractions by using information presented in line plots. [4MD4] [MA2013] (5) 19: Make a line plot to display a data set of measurements in fractions of a unit (^{1}/_{2}, ^{1}/_{4}, ^{1}/_{8}).
Use operations on fractions for this grade to solve problems involving information presented in line plots. [5MD2] [MA2013] (6) 26: Understand that a set of data collected to answer a statistical question has a distribution which can be described by its center, spread, and overall shape. [6SP2] [MA2013] (6) 27: Recognize that a measure of center for a numerical data set summarizes all of its values with a single number, while a measure of variation describes how its values vary with a single number. [6SP3] [MA2013] (6) 28: Display numerical data in plots on a number line, including dot plots, histograms, and box plots. [6SP4] [MA2013] (6) 29: Summarize numerical data sets in relation to their context, such as by: [6SP5] [MA2013] (7) 17: Understand that statistics can be used to gain information about a population by examining a sample of the population; generalizations about a population from a sample are valid only if the sample is representative of that population. Understand that random sampling tends to produce representative samples and support valid inferences. [7SP1] [MA2013] (7) 18: Use data from a random sample to draw inferences about a population with an unknown characteristic of interest. Generate multiple samples (or simulated samples) of the same size to gauge the variation in estimates or predictions. [7SP2] [MA2013] (8) 5: Use numbers expressed in the form of a single digit times an integer power of 10 to estimate very large or very small quantities, and to express how many times as much one is than the other. [8EE3] [MA2013] (8) 25: Construct and interpret scatter plots for bivariate measurement data to investigate patterns of association between two quantities. Describe patterns such as clustering, outliers, positive or negative association, linear association, and nonlinear association. [8SP1] [MA2013] AL1 (912) 5: Define appropriate quantities for the purpose of descriptive modeling. [NQ2] [MA2013] AL1 (912) 6: Choose a level of accuracy appropriate to limitations on measurement when reporting quantities. [NQ3] [MA2013] AL1 (912) 41: Represent data with plots on the real number line (dot plots, histograms, and box plots). [SID1] [MA2013] AL1 (912) 42: Use statistics appropriate to the shape of the data distribution to compare center (median, mean) and spread (interquartile range, standard deviation) of two or more different data sets. [SID2] [MA2013] AL1 (912) 43: Interpret differences in shape, center, and spread in the context of the data sets, accounting for possible effects of extreme data points (outliers). [SID3]
Subject: Mathematics Title: Count on Math
Description: In this unit of two lessons, from Illuminations, students develop number sense through activities involving collection, representation, and analysis of data. In addition, students practice reading and writing large numbers and use estimation to arrive at appropriate answers. Thinkfinity Partner: Illuminations Grade Span: 3,4,5,6,7,8
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Title: Getting into the Electoral College
Description:
In this unit of 3 lessons from Illuminations, students are engaged in activities involving percentages, ratios, and area, with a focus throughout on building problemsolving and reasoning skills. They are designed to be used individually to fit within curriculum being covered at the time of an election. Additionally, the lesson extensions include many ideas for interdisciplinary activities and some possible schoolwide activities.
Standard(s): [MA2013] (6) 1: Understand the concept of a ratio, and use ratio language to describe a ratio relationship between two quantities. [6RP1] [MA2013] (6) 2: Understand the concept of a unit rate ^{a}/_{b} associated with a ratio a:b with b ≠ 0, and use rate language in the context of a ratio relationship. [6RP2] [MA2013] (6) 3: Use ratio and rate reasoning to solve realworld and mathematical problems, e.g., by reasoning about tables of equivalent ratios, tape diagrams, double number line diagrams, or equations. [6RP3] [MA2013] (6) 21: Find the area of right triangles, other triangles, special quadrilaterals, and polygons by composing into rectangles or decomposing into triangles and other shapes; apply these techniques in the context of solving realworld and mathematical problems. [6G1] [MA2013] (6) 25: Recognize a statistical question as one that anticipates variability in the data related to the question and accounts for it in the answers. [6SP1] [MA2013] (6) 27: Recognize that a measure of center for a numerical data set summarizes all of its values with a single number, while a measure of variation describes how its values vary with a single number. [6SP3] [MA2013] (6) 28: Display numerical data in plots on a number line, including dot plots, histograms, and box plots. [6SP4] [MA2013] (6) 29: Summarize numerical data sets in relation to their context, such as by: [6SP5] [MA2013] (7) 1: Compute unit rates associated with ratios of fractions, including ratios of lengths, areas, and other quantities measured in like or different units. [7RP1] [MA2013] (7) 2: Recognize and represent proportional relationships between quantities. [7RP2] [MA2013] (7) 3: Use proportional relationships to solve multistep ratio and percent problems. [7RP3] [MA2013] (7) 17: Understand that statistics can be used to gain information about a population by examining a sample of the population; generalizations about a population from a sample are valid only if the sample is representative of that population. Understand that random sampling tends to produce representative samples and support valid inferences. [7SP1] [MA2013] AL1 (912) 4: Use units as a way to understand problems and to guide the solution of multistep problems; choose and interpret units consistently in formulas; choose and interpret the scale and the origin in graphs and data displays. [NQ1] [MA2013] AL1 (912) 5: Define appropriate quantities for the purpose of descriptive modeling. [NQ2] [MA2013] AL1 (912) 6: Choose a level of accuracy appropriate to limitations on measurement when reporting quantities. [NQ3] [MA2013] AL1 (912) 42: Use statistics appropriate to the shape of the data distribution to compare center (median, mean) and spread (interquartile range, standard deviation) of two or more different data sets. [SID2] [MA2013] AL1 (912) 43: Interpret differences in shape, center, and spread in the context of the data sets, accounting for possible effects of extreme data points (outliers). [SID3] [MA2013] ALC (912) 11: Use ratios of perimeters, areas, and volumes of similar figures to solve applied problems. (Alabama)
Subject: Mathematics Title: Getting into the Electoral College
Description: In this unit of 3 lessons from Illuminations, students are engaged in activities involving percentages, ratios, and area, with a focus throughout on building problemsolving and reasoning skills. They are designed to be used individually to fit within curriculum being covered at the time of an election. Additionally, the lesson extensions include many ideas for interdisciplinary activities and some possible schoolwide activities. Thinkfinity Partner: Illuminations Grade Span: 6,7,8
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Title: Playing Games
Description:
In this unit of five lessons, from Illuminations, students participate in activities in which they focus on the uses of numbers. The activities use the theme of games to develop concepts of measurement and statistics. Students are asked to measure distances using standard and nonstandard units and to record their measurement in various tables. Then they are asked to use descriptive statistics to report the results. These lessons include an individual activity for four different levels plus one for parents to complete with their child at home.
Standard(s): [MA2013] (3) 19: Generate measurement data by measuring lengths using rulers marked with halves and fourths of an inch. Show the data by making a line plot where the horizontal scale is marked off in appropriate units — whole numbers, halves, or quarters. [3MD4] [MA2013] (4) 22: Make a line plot to display a data set of measurements in fractions of a unit (^{1}/_{2}, ^{1}/_{4}, ^{1}/_{8}). Solve problems involving addition and subtraction of fractions by using information presented in line plots. [4MD4] [MA2013] (5) 19: Make a line plot to display a data set of measurements in fractions of a unit (^{1}/_{2}, ^{1}/_{4}, ^{1}/_{8}).
Use operations on fractions for this grade to solve problems involving information presented in line plots. [5MD2] [MA2013] (6) 25: Recognize a statistical question as one that anticipates variability in the data related to the question and accounts for it in the answers. [6SP1] [MA2013] (6) 26: Understand that a set of data collected to answer a statistical question has a distribution which can be described by its center, spread, and overall shape. [6SP2] [MA2013] (6) 27: Recognize that a measure of center for a numerical data set summarizes all of its values with a single number, while a measure of variation describes how its values vary with a single number. [6SP3] [MA2013] (6) 28: Display numerical data in plots on a number line, including dot plots, histograms, and box plots. [6SP4] [MA2013] (6) 29: Summarize numerical data sets in relation to their context, such as by: [6SP5] [MA2013] (7) 1: Compute unit rates associated with ratios of fractions, including ratios of lengths, areas, and other quantities measured in like or different units. [7RP1] [MA2013] (7) 17: Understand that statistics can be used to gain information about a population by examining a sample of the population; generalizations about a population from a sample are valid only if the sample is representative of that population. Understand that random sampling tends to produce representative samples and support valid inferences. [7SP1] [MA2013] (7) 18: Use data from a random sample to draw inferences about a population with an unknown characteristic of interest. Generate multiple samples (or simulated samples) of the same size to gauge the variation in estimates or predictions. [7SP2] [MA2013] (7) 20: Use measures of center and measures of variability for numerical data from random samples to draw informal comparative inferences about two populations. [7SP4]
Subject: Mathematics Title: Playing Games
Description: In this unit of five lessons, from Illuminations, students participate in activities in which they focus on the uses of numbers. The activities use the theme of games to develop concepts of measurement and statistics. Students are asked to measure distances using standard and nonstandard units and to record their measurement in various tables. Then they are asked to use descriptive statistics to report the results. These lessons include an individual activity for four different levels plus one for parents to complete with their child at home. Thinkfinity Partner: Illuminations Grade Span: K,PreK,1,2
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Title: How Could That Happen?
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In this lesson, one of a multipart unit from Illuminations, students are challenged to generate election results using number sense and other mathematical skills. Students are also given the opportunity to explore the mathematical questions in a politically challenging context.
Standard(s): [MA2013] (6) 25: Recognize a statistical question as one that anticipates variability in the data related to the question and accounts for it in the answers. [6SP1] [MA2013] (6) 28: Display numerical data in plots on a number line, including dot plots, histograms, and box plots. [6SP4] [MA2013] (6) 29: Summarize numerical data sets in relation to their context, such as by: [6SP5] [MA2013] (7) 9: Solve multistep reallife and mathematical problems posed with positive and negative rational numbers in any form (whole numbers, fractions, and decimals), using tools strategically. Apply properties of operations to calculate with numbers in any form, convert between forms as appropriate, and assess the reasonableness of answers using mental computation and estimation strategies. [7EE3]
Subject: Mathematics Title: How Could That Happen?
Description: In this lesson, one of a multipart unit from Illuminations, students are challenged to generate election results using number sense and other mathematical skills. Students are also given the opportunity to explore the mathematical questions in a politically challenging context. Thinkfinity Partner: Illuminations Grade Span: 6,7,8
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Title: Measuring Shadows
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In this Science NetLinks lesson, students determine the pattern (length and direction) of shadows cast by sunlight during a several month period. They develop an interpretation of the daily and seasonal patterns and variations observed.
Standard(s): [S1] (6) 1: Identify global patterns of atmospheric movement, including El Niño, the Gulf Stream, the jet stream, the Coriolis effect, and global winds that influence local weather. [S1] (6) 8: Describe how Earth's rotation, Earth's axial tilt, and distance from the equator cause variations in the heating and cooling of various locations on Earth. [MA2013] (6) 26: Understand that a set of data collected to answer a statistical question has a distribution which can be described by its center, spread, and overall shape. [6SP2] [MA2013] (6) 28: Display numerical data in plots on a number line, including dot plots, histograms, and box plots. [6SP4] [MA2013] (6) 29: Summarize numerical data sets in relation to their context, such as by: [6SP5] [MA2013] (7) 17: Understand that statistics can be used to gain information about a population by examining a sample of the population; generalizations about a population from a sample are valid only if the sample is representative of that population. Understand that random sampling tends to produce representative samples and support valid inferences. [7SP1] [MA2013] (7) 18: Use data from a random sample to draw inferences about a population with an unknown characteristic of interest. Generate multiple samples (or simulated samples) of the same size to gauge the variation in estimates or predictions. [7SP2] [MA2013] AL1 (912) 41: Represent data with plots on the real number line (dot plots, histograms, and box plots). [SID1] [MA2013] AL1 (912) 42: Use statistics appropriate to the shape of the data distribution to compare center (median, mean) and spread (interquartile range, standard deviation) of two or more different data sets. [SID2] [MA2013] AL1 (912) 43: Interpret differences in shape, center, and spread in the context of the data sets, accounting for possible effects of extreme data points (outliers). [SID3] [MA2013] AL1 (912) 44: Summarize categorical data for two categories in twoway frequency tables. Interpret relative frequencies in the context of the data (including joint, marginal, and conditional relative frequencies). Recognize possible associations and trends in the data. [SID5] [MA2013] MI1 (912) 1: Critique ancient numeration systems and applications, including astronomy and the development and use of money and calendars. (Alabama) [MA2013] MI1 (912) 11: Describe the development of mathematical tools and their applications. (Alabama)
Subject: Mathematics Title: Measuring Shadows
Description: In this Science NetLinks lesson, students determine the pattern (length and direction) of shadows cast by sunlight during a several month period. They develop an interpretation of the daily and seasonal patterns and variations observed. Thinkfinity Partner: Science NetLinks Grade Span: 6,7,8
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Title: State Names
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In this Illuminations lesson, students use multiple representations to analyze the frequency of letters that occur in the names of all 50 states. In the process, they learn how various representations, including steamandleaf plots, boxandwhisker plots, and histograms, can be used to organize the data.
Standard(s): [MA2013] (3) 18: Draw a scaled picture graph and a scaled bar graph to represent a data set with several categories. Solve one and twostep "how many more" and "how many less" problems using information presented in scaled bar graphs. [3MD3] [MA2013] (4) 22: Make a line plot to display a data set of measurements in fractions of a unit (^{1}/_{2}, ^{1}/_{4}, ^{1}/_{8}). Solve problems involving addition and subtraction of fractions by using information presented in line plots. [4MD4] [MA2013] (5) 19: Make a line plot to display a data set of measurements in fractions of a unit (^{1}/_{2}, ^{1}/_{4}, ^{1}/_{8}).
Use operations on fractions for this grade to solve problems involving information presented in line plots. [5MD2] [MA2013] (6) 25: Recognize a statistical question as one that anticipates variability in the data related to the question and accounts for it in the answers. [6SP1] [MA2013] (6) 26: Understand that a set of data collected to answer a statistical question has a distribution which can be described by its center, spread, and overall shape. [6SP2] [MA2013] (6) 27: Recognize that a measure of center for a numerical data set summarizes all of its values with a single number, while a measure of variation describes how its values vary with a single number. [6SP3] [MA2013] (6) 28: Display numerical data in plots on a number line, including dot plots, histograms, and box plots. [6SP4] [MA2013] (6) 29: Summarize numerical data sets in relation to their context, such as by: [6SP5] [MA2013] (7) 17: Understand that statistics can be used to gain information about a population by examining a sample of the population; generalizations about a population from a sample are valid only if the sample is representative of that population. Understand that random sampling tends to produce representative samples and support valid inferences. [7SP1] [MA2013] (7) 18: Use data from a random sample to draw inferences about a population with an unknown characteristic of interest. Generate multiple samples (or simulated samples) of the same size to gauge the variation in estimates or predictions. [7SP2] [MA2013] (7) 19: Informally assess the degree of visual overlap of two numerical data distributions with similar variabilities, measuring the difference between the centers by expressing it as a multiple of a measure of variability. [7SP3] [MA2013] (7) 20: Use measures of center and measures of variability for numerical data from random samples to draw informal comparative inferences about two populations. [7SP4] [MA2013] AL1 (912) 41: Represent data with plots on the real number line (dot plots, histograms, and box plots). [SID1] [MA2013] AL1 (912) 42: Use statistics appropriate to the shape of the data distribution to compare center (median, mean) and spread (interquartile range, standard deviation) of two or more different data sets. [SID2] [MA2013] AL1 (912) 43: Interpret differences in shape, center, and spread in the context of the data sets, accounting for possible effects of extreme data points (outliers). [SID3]
Subject: Mathematics,Social Studies Title: State Names
Description: In this Illuminations lesson, students use multiple representations to analyze the frequency of letters that occur in the names of all 50 states. In the process, they learn how various representations, including steamandleaf plots, boxandwhisker plots, and histograms, can be used to organize the data. Thinkfinity Partner: Illuminations Grade Span: 3,4,5,6,7,8
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Title: First Class First? Using Data to Explore the Tragedy of the Titanic
Description:
In this Science NetLinks lesson, students analyze and interpret data related to the crew and passengers of the Titanic. They draw conclusions to better understand the people who were lost or saved as a result of the disaster, and whether or not social status affected the outcome.
Standard(s): [MA2013] (6) 1: Understand the concept of a ratio, and use ratio language to describe a ratio relationship between two quantities. [6RP1] [MA2013] (6) 2: Understand the concept of a unit rate ^{a}/_{b} associated with a ratio a:b with b ≠ 0, and use rate language in the context of a ratio relationship. [6RP2] [MA2013] (6) 25: Recognize a statistical question as one that anticipates variability in the data related to the question and accounts for it in the answers. [6SP1] [MA2013] (6) 26: Understand that a set of data collected to answer a statistical question has a distribution which can be described by its center, spread, and overall shape. [6SP2] [MA2013] (6) 27: Recognize that a measure of center for a numerical data set summarizes all of its values with a single number, while a measure of variation describes how its values vary with a single number. [6SP3] [MA2013] (6) 28: Display numerical data in plots on a number line, including dot plots, histograms, and box plots. [6SP4] [MA2013] (6) 29: Summarize numerical data sets in relation to their context, such as by: [6SP5] [MA2013] (7) 17: Understand that statistics can be used to gain information about a population by examining a sample of the population; generalizations about a population from a sample are valid only if the sample is representative of that population. Understand that random sampling tends to produce representative samples and support valid inferences. [7SP1] [MA2013] (7) 18: Use data from a random sample to draw inferences about a population with an unknown characteristic of interest. Generate multiple samples (or simulated samples) of the same size to gauge the variation in estimates or predictions. [7SP2] [MA2013] (7) 20: Use measures of center and measures of variability for numerical data from random samples to draw informal comparative inferences about two populations. [7SP4] [MA2013] AL1 (912) 41: Represent data with plots on the real number line (dot plots, histograms, and box plots). [SID1] [MA2013] AL1 (912) 42: Use statistics appropriate to the shape of the data distribution to compare center (median, mean) and spread (interquartile range, standard deviation) of two or more different data sets. [SID2] [MA2013] AL1 (912) 43: Interpret differences in shape, center, and spread in the context of the data sets, accounting for possible effects of extreme data points (outliers). [SID3]
Subject: Mathematics, Social Studies Title: First Class First? Using Data to Explore the Tragedy of the Titanic
Description: In this Science NetLinks lesson, students analyze and interpret data related to the crew and passengers of the Titanic. They draw conclusions to better understand the people who were lost or saved as a result of the disaster, and whether or not social status affected the outcome. Thinkfinity Partner: Science NetLinks Grade Span: 9,10,11,12
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Title: Sticks and Stones
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In this Illuminations lesson, students play Sticks and Stones, a game based on the Apache game Throw Sticks, which was played at multination celebrations. Students collect data, investigate the likelihood of various moves, and use basic ideas of expected value to determine the average number of turns needed to win a game.
Standard(s): [MA2013] (3) 18: Draw a scaled picture graph and a scaled bar graph to represent a data set with several categories. Solve one and twostep "how many more" and "how many less" problems using information presented in scaled bar graphs. [3MD3] [MA2013] (5) 19: Make a line plot to display a data set of measurements in fractions of a unit (^{1}/_{2}, ^{1}/_{4}, ^{1}/_{8}).
Use operations on fractions for this grade to solve problems involving information presented in line plots. [5MD2] [MA2013] (6) 25: Recognize a statistical question as one that anticipates variability in the data related to the question and accounts for it in the answers. [6SP1] [MA2013] (6) 26: Understand that a set of data collected to answer a statistical question has a distribution which can be described by its center, spread, and overall shape. [6SP2] [MA2013] (6) 27: Recognize that a measure of center for a numerical data set summarizes all of its values with a single number, while a measure of variation describes how its values vary with a single number. [6SP3] [MA2013] (6) 28: Display numerical data in plots on a number line, including dot plots, histograms, and box plots. [6SP4] [MA2013] (6) 29: Summarize numerical data sets in relation to their context, such as by: [6SP5] [MA2013] (7) 17: Understand that statistics can be used to gain information about a population by examining a sample of the population; generalizations about a population from a sample are valid only if the sample is representative of that population. Understand that random sampling tends to produce representative samples and support valid inferences. [7SP1] [MA2013] (7) 18: Use data from a random sample to draw inferences about a population with an unknown characteristic of interest. Generate multiple samples (or simulated samples) of the same size to gauge the variation in estimates or predictions. [7SP2] [MA2013] (7) 21: Understand that the probability of a chance event is a number between 0 and 1 that expresses the likelihood of the event occurring. Larger numbers indicate greater likelihood. A probability near 0 indicates an unlikely event, a probability around ^{1}/_{2} indicates an event that is neither unlikely nor likely, and a probability near 1 indicates a likely event. [7SP5] [MA2013] (7) 22: Approximate the probability of a chance event by collecting data on the chance process that produces it and observing its longrun relative frequency, and predict the approximate relative frequency given the probability. [7SP6] [MA2013] (7) 23: Develop a probability model and use it to find probabilities of events. Compare probabilities from a model to observed frequencies; if the agreement is not good, explain possible sources of the discrepancy. [7SP7] [MA2013] (7) 24: Find probabilities of compound events using organized lists, tables, tree diagrams, and simulation. [7SP8] [MA2013] AL1 (912) 42: Use statistics appropriate to the shape of the data distribution to compare center (median, mean) and spread (interquartile range, standard deviation) of two or more different data sets. [SID2] [MA2013] AL1 (912) 43: Interpret differences in shape, center, and spread in the context of the data sets, accounting for possible effects of extreme data points (outliers). [SID3] [MA2013] AL1 (912) 47: Understand that two events A and B are independent if the probability of A and B occurring together is the product of their probabilities, and use this characterization to determine if they are independent. [SCP2] [MA2013] AL2 (912) 40: Understand the conditional probability of A given B as P(A and B)/P(B), and interpret independence of A and B as saying that the conditional probability of A given B is the same as the probability of A, and the conditional probability of B given A is the same as the probability of B. [SCP3] [MA2013] AL2 (912) 42: Recognize and explain the concepts of conditional probability and independence in everyday language and everyday situations. [SCP5] [MA2013] AL2 (912) 43: Find the conditional probability of A given B as the fraction of B's outcomes that also belong to A, and interpret the answer in terms of the model. [SCP6] [MA2013] AL2 (912) 44: Apply the Addition Rule, P(A or B) = P(A) + P(B)  P(A and B), and interpret the answer in terms of the model. [SCP7] [MA2013] AL2 (912) 45: (+) Apply the general Multiplication Rule in a uniform probability model, P(A and B) = P(A)P(BA) = P(B)P(AB), and interpret the answer in terms of the model. [SCP8] [MA2013] AL2 (912) 46: (+) Use permutations and combinations to compute probabilities of compound events and solve problems. [SCP9] [MA2013] GEO (912) 42: (+) Use probabilities to make fair decisions (e.g., drawing by lots, using a random number generator). [SMD6] [MA2013] AL2 (912) 33: Write a function that describes a relationship between two quantities.* [FBF1] [MA2013] AL2 (912) 37: (+) Use probabilities to make fair decisions (e.g., drawing by lots, using a random number generator). [SMD6] [MA2013] PRE (912) 44: Understand statistics as a process for making inferences about population parameters based on a random sample from that population. [SIC1] [MA2013] PRE (912) 45: Decide if a specified model is consistent with results from a given datagenerating process, e.g., using simulation. [SIC2] [MA2013] PRE (912) 46: Recognize the purposes of and differences among sample surveys, experiments, and observational studies; explain how randomization relates to each. [SIC3] [MA2013] PRE (912) 47: Use data from a sample survey to estimate a population mean or proportion; develop a margin of error through the use of simulation models for random sampling. [SIC4] [MA2013] ALT (912) 41: (+) Use probabilities to make fair decisions (e.g., drawing by lots, using a random number generator). [SMD6] [MA2013] PRE (912) 50: (+) Define a random variable for a quantity of interest by assigning a numerical value to each event in a sample space; graph the corresponding probability distribution using the same graphical displays as for data distributions. [SMD1]
Subject: Mathematics Title: Sticks and Stones
Description: In this Illuminations lesson, students play Sticks and Stones, a game based on the Apache game Throw Sticks, which was played at multination celebrations. Students collect data, investigate the likelihood of various moves, and use basic ideas of expected value to determine the average number of turns needed to win a game. Thinkfinity Partner: Illuminations Grade Span: 3,4,5,6,7,8
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Title: The Game of SKUNK
Description:
In this lesson, from Illuminations, students practice decisionmaking skills while playing a dice game called Skunk. This allows them to develop a better understanding of mathematical probability and of the concept of choice versus chance.
Standard(s): [MA2013] (6) 25: Recognize a statistical question as one that anticipates variability in the data related to the question and accounts for it in the answers. [6SP1] [MA2013] (6) 28: Display numerical data in plots on a number line, including dot plots, histograms, and box plots. [6SP4] [MA2013] (6) 29: Summarize numerical data sets in relation to their context, such as by: [6SP5] [MA2013] (7) 17: Understand that statistics can be used to gain information about a population by examining a sample of the population; generalizations about a population from a sample are valid only if the sample is representative of that population. Understand that random sampling tends to produce representative samples and support valid inferences. [7SP1] [MA2013] (7) 18: Use data from a random sample to draw inferences about a population with an unknown characteristic of interest. Generate multiple samples (or simulated samples) of the same size to gauge the variation in estimates or predictions. [7SP2] [MA2013] (7) 21: Understand that the probability of a chance event is a number between 0 and 1 that expresses the likelihood of the event occurring. Larger numbers indicate greater likelihood. A probability near 0 indicates an unlikely event, a probability around ^{1}/_{2} indicates an event that is neither unlikely nor likely, and a probability near 1 indicates a likely event. [7SP5] [MA2013] (7) 22: Approximate the probability of a chance event by collecting data on the chance process that produces it and observing its longrun relative frequency, and predict the approximate relative frequency given the probability. [7SP6] [MA2013] (7) 23: Develop a probability model and use it to find probabilities of events. Compare probabilities from a model to observed frequencies; if the agreement is not good, explain possible sources of the discrepancy. [7SP7] [MA2013] (7) 24: Find probabilities of compound events using organized lists, tables, tree diagrams, and simulation. [7SP8]
Subject: Mathematics Title: The Game of SKUNK
Description: In this lesson, from Illuminations, students practice decisionmaking skills while playing a dice game called Skunk. This allows them to develop a better understanding of mathematical probability and of the concept of choice versus chance. Thinkfinity Partner: Illuminations Grade Span: 6,7,8
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Title: Interpreting Population Statistics
Description:
In this lesson, from Xpeditions, students are introduced to population statistics such as birth, death, and literacy rates. They compare these indicators for several countries, graph the results, and hypothesize about what their graphs indicate about the countries.
Standard(s): [MA2013] (6) 25: Recognize a statistical question as one that anticipates variability in the data related to the question and accounts for it in the answers. [6SP1] [MA2013] (6) 28: Display numerical data in plots on a number line, including dot plots, histograms, and box plots. [6SP4] [MA2013] (6) 29: Summarize numerical data sets in relation to their context, such as by: [6SP5] [MA2013] (7) 17: Understand that statistics can be used to gain information about a population by examining a sample of the population; generalizations about a population from a sample are valid only if the sample is representative of that population. Understand that random sampling tends to produce representative samples and support valid inferences. [7SP1] [MA2013] AL1 (912) 41: Represent data with plots on the real number line (dot plots, histograms, and box plots). [SID1] [SS2010] GEOG (7) 1: Describe the world in spatial terms using maps and other geographic representations, tools, and technologies.
Subject: Mathematics  Statistics  Social Studies  Geography Title: Interpreting Population Statistics
Description: In this lesson, from Xpeditions, students are introduced to population statistics such as birth, death, and literacy rates. They compare these indicators for several countries, graph the results, and hypothesize about what their graphs indicate about the countries. Thinkfinity Partner: National Geographic Education Grade Span: 6,7,8
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Title: Population Pasta
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In this student activity, from Xpeditions, students investigate population statistics. Using different types of pasta to represent different numbers of people, students experiment with using graphs, maps, and more to illustrate the population densities of various countries.
Standard(s): [MA2013] (6) 25: Recognize a statistical question as one that anticipates variability in the data related to the question and accounts for it in the answers. [6SP1] [MA2013] (6) 28: Display numerical data in plots on a number line, including dot plots, histograms, and box plots. [6SP4] [MA2013] (6) 29: Summarize numerical data sets in relation to their context, such as by: [6SP5] [MA2013] (7) 17: Understand that statistics can be used to gain information about a population by examining a sample of the population; generalizations about a population from a sample are valid only if the sample is representative of that population. Understand that random sampling tends to produce representative samples and support valid inferences. [7SP1]
Subject: Mathematics  Statistics  Social Studies  Geography Title: Population Pasta
Description: In this student activity, from Xpeditions, students investigate population statistics. Using different types of pasta to represent different numbers of people, students experiment with using graphs, maps, and more to illustrate the population densities of various countries. Thinkfinity Partner: National Geographic Education Grade Span: K,1,2,3,4,5,6,7,8,9,10,11,12
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Title: Exploring Histograms
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In this lesson, from Illuminations, students create their own sets of data using an interactive data analysis tool. They then examine how various statistical functions such as mean, median, and standard deviation depend on the choice of data. The lesson includes an interactive online applet.
Standard(s): [MA2013] (6) 25: Recognize a statistical question as one that anticipates variability in the data related to the question and accounts for it in the answers. [6SP1] [MA2013] (6) 26: Understand that a set of data collected to answer a statistical question has a distribution which can be described by its center, spread, and overall shape. [6SP2] [MA2013] (6) 28: Display numerical data in plots on a number line, including dot plots, histograms, and box plots. [6SP4] [MA2013] (6) 29: Summarize numerical data sets in relation to their context, such as by: [6SP5] [MA2013] (7) 17: Understand that statistics can be used to gain information about a population by examining a sample of the population; generalizations about a population from a sample are valid only if the sample is representative of that population. Understand that random sampling tends to produce representative samples and support valid inferences. [7SP1] [MA2013] (7) 20: Use measures of center and measures of variability for numerical data from random samples to draw informal comparative inferences about two populations. [7SP4] [MA2013] AL1 (912) 41: Represent data with plots on the real number line (dot plots, histograms, and box plots). [SID1] [MA2013] AL1 (912) 42: Use statistics appropriate to the shape of the data distribution to compare center (median, mean) and spread (interquartile range, standard deviation) of two or more different data sets. [SID2] [MA2013] AL1 (912) 43: Interpret differences in shape, center, and spread in the context of the data sets, accounting for possible effects of extreme data points (outliers). [SID3]
Subject: Mathematics Title: Exploring Histograms
Description: In this lesson, from Illuminations, students create their own sets of data using an interactive data analysis tool. They then examine how various statistical functions such as mean, median, and standard deviation depend on the choice of data. The lesson includes an interactive online applet. Thinkfinity Partner: Illuminations Grade Span: 6,7,8
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Title: Mathematics as Communication
Description:
This lesson, from Illuminations, focuses on interpreting and creating graphs that are functions of time. Students complete four activity sheets that focus on graphs of time vs. speed and how many times an event occurred in a specific amount of time.
Standard(s): [MA2013] (6) 28: Display numerical data in plots on a number line, including dot plots, histograms, and box plots. [6SP4] [MA2013] (6) 29: Summarize numerical data sets in relation to their context, such as by: [6SP5] [MA2013] (7) 17: Understand that statistics can be used to gain information about a population by examining a sample of the population; generalizations about a population from a sample are valid only if the sample is representative of that population. Understand that random sampling tends to produce representative samples and support valid inferences. [7SP1] [MA2013] (8) 25: Construct and interpret scatter plots for bivariate measurement data to investigate patterns of association between two quantities. Describe patterns such as clustering, outliers, positive or negative association, linear association, and nonlinear association. [8SP1] [MA2013] (8) 28: Understand that patterns of association can also be seen in bivariate categorical data by displaying frequencies and relative frequencies in a twoway table. Construct and interpret a twoway table summarizing data on two categorical variables collected from the same subjects. Use relative frequencies calculated for rows or columns to describe possible association between the two variables. [8SP4] [MA2013] AL1 (912) 45: Represent data on two quantitative variables on a scatter plot, and describe how the variables are related. [SID6]
Subject: Mathematics Title: Mathematics as Communication
Description: This lesson, from Illuminations, focuses on interpreting and creating graphs that are functions of time. Students complete four activity sheets that focus on graphs of time vs. speed and how many times an event occurred in a specific amount of time. Thinkfinity Partner: Illuminations Grade Span: 6,7,8
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Title: Africa's Struggle With AIDS
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In this Xpeditions lesson, students come to understand the enormity of the impact of AIDS on the population of Africa by comparing its effect there with its effect on the population of the world in general, and especially on that of the United States. After locating Africa on a world map, and individual subSaharan nations on a map of Africa, students examine charts and graphs to find and compare data about AIDS in Africa, the world, and the United States.
Standard(s): [MA2013] (6) 3: Use ratio and rate reasoning to solve realworld and mathematical problems, e.g., by reasoning about tables of equivalent ratios, tape diagrams, double number line diagrams, or equations. [6RP3] [MA2013] (6) 25: Recognize a statistical question as one that anticipates variability in the data related to the question and accounts for it in the answers. [6SP1] [MA2013] (6) 26: Understand that a set of data collected to answer a statistical question has a distribution which can be described by its center, spread, and overall shape. [6SP2] [MA2013] (6) 28: Display numerical data in plots on a number line, including dot plots, histograms, and box plots. [6SP4] [MA2013] (6) 29: Summarize numerical data sets in relation to their context, such as by: [6SP5] [MA2013] (7) 3: Use proportional relationships to solve multistep ratio and percent problems. [7RP3] [MA2013] (7) 17: Understand that statistics can be used to gain information about a population by examining a sample of the population; generalizations about a population from a sample are valid only if the sample is representative of that population. Understand that random sampling tends to produce representative samples and support valid inferences. [7SP1] [MA2013] (7) 18: Use data from a random sample to draw inferences about a population with an unknown characteristic of interest. Generate multiple samples (or simulated samples) of the same size to gauge the variation in estimates or predictions. [7SP2]
Subject: Health  Disease  Mathematics  Applied Mathematics  Science  Biology  Social Studies  Geography Title: Africa's Struggle With AIDS
Description: In this Xpeditions lesson, students come to understand the enormity of the impact of AIDS on the population of Africa by comparing its effect there with its effect on the population of the world in general, and especially on that of the United States. After locating Africa on a world map, and individual subSaharan nations on a map of Africa, students examine charts and graphs to find and compare data about AIDS in Africa, the world, and the United States. Thinkfinity Partner: National Geographic Education Grade Span: 6,7,8
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Title: Airport Numbers
Description:
In this lesson, one of a multipart unit from Illuminations, students participate in activities in which they focus on the role of numbers and language in realworld situations. These activities use an airport theme to investigate numbers. Students are encouraged to relate the numbers to familiar situations. For example, they use the dimensions of the classroom to describe an airplane.
Standard(s): [MA2013] (6) 9: Understand a rational number as a point on the number line. Extend number line diagrams and coordinate axes familiar from previous grades to represent points on the line and in the plane with negative number coordinates. [6NS6] [MA2013] (6) 10: Understand ordering and absolute value of rational numbers. [6NS7] [MA2013] (6) 28: Display numerical data in plots on a number line, including dot plots, histograms, and box plots. [6SP4] [ELA2013] (6) 11: Cite textual evidence to support analysis of what the text says explicitly as well as inferences drawn from the text. [RI.6.1] [ELA2013] (6) 14: Determine the meaning of words and phrases as they are used in a text, including figurative, connotative, and technical meanings. [RI.6.4] [ELA2013] (6) 17: Integrate information presented in different media or formats (e.g., visually, quantitatively) as well as in words to develop a coherent understanding of a topic or issue. [RI.6.7] [ELA2013] (6) 20: By the end of the year, read and comprehend literary nonfiction in the Grades 68 text complexity band proficiently, with scaffolding as needed at the high end of the range. [RI.6.10] [ELA2013] (7) 10: Cite several pieces of textual evidence to support analysis of what the text says explicitly as well as inferences drawn from the text. [RI.7.1] [ELA2013] (7) 13: Determine the meaning of words and phrases as they are used in a text, including figurative, connotative, and technical meanings; analyze the impact of a specific word choice on meaning and tone. [RI.7.4] [ELA2013] (7) 19: By the end of the year, read and comprehend literary nonfiction in the Grades 68 text complexity band proficiently, with scaffolding as needed at the high end of the range. [RI.7.10] [ELA2013] (8) 10: Cite the textual evidence that most strongly supports an analysis of what the text says explicitly as well as inferences drawn from the text. [RI.8.1] [ELA2013] (8) 13: Determine the meaning of words and phrases as they are used in a text, including figurative, connotative, and technical meanings; analyze the impact of specific word choices on meaning and tone, including analogies or allusions to other texts. [RI.8.4] [ELA2013] (8) 19: By the end of the year, read and comprehend literary nonfiction at the high end of the
Grades 68 text complexity band independently and proficiently. [RI.8.10]
Subject: Language Arts,Mathematics Title: Airport Numbers
Description: In this lesson, one of a multipart unit from Illuminations, students participate in activities in which they focus on the role of numbers and language in realworld situations. These activities use an airport theme to investigate numbers. Students are encouraged to relate the numbers to familiar situations. For example, they use the dimensions of the classroom to describe an airplane. Thinkfinity Partner: Illuminations Grade Span: 6,7,8
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Title: Printing Books
Description:
In this lesson, from Illuminations, students explore the relationships among lines, slopes, and yintercepts using the realworld situation of the printing of their textbook. They use data presented in tables, graphs, and equation form for problemsolving.
Standard(s): [MA2013] (6) 28: Display numerical data in plots on a number line, including dot plots, histograms, and box plots. [6SP4] [MA2013] (8) 7: Graph proportional relationships, interpreting the unit rate as the slope of the graph. Compare two different proportional relationships represented in different ways. [8EE5] [MA2013] (8) 25: Construct and interpret scatter plots for bivariate measurement data to investigate patterns of association between two quantities. Describe patterns such as clustering, outliers, positive or negative association, linear association, and nonlinear association. [8SP1] [MA2013] (8) 27: Use the equation of a linear model to solve problems in the context of bivariate measurement data, interpreting the slope and intercept. [8SP3]
Subject: Mathematics Title: Printing Books
Description: In this lesson, from Illuminations, students explore the relationships among lines, slopes, and yintercepts using the realworld situation of the printing of their textbook. They use data presented in tables, graphs, and equation form for problemsolving. Thinkfinity Partner: Illuminations Grade Span: 6,7,8
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Title: Using NBA Statistics for Box and Whisker Plots
Description:
Students use information from NBA statistics to make and compare box and whisker plots. The data provided in the lesson come from the NBA, but you could apply the lesson to data from the WNBA or any other sports teams or leagues for which player statistics are available.
Standard(s): [TC2] (68) 5: Use basic features of word processing, spreadsheets, databases, and presentation software. [TC2] (68) 11: Use digital tools and strategies to locate, collect, organize, evaluate, and synthesize
information. [MA2013] (6) 25: Recognize a statistical question as one that anticipates variability in the data related to the question and accounts for it in the answers. [6SP1] [MA2013] (6) 26: Understand that a set of data collected to answer a statistical question has a distribution which can be described by its center, spread, and overall shape. [6SP2] [MA2013] (6) 27: Recognize that a measure of center for a numerical data set summarizes all of its values with a single number, while a measure of variation describes how its values vary with a single number. [6SP3] [MA2013] (6) 28: Display numerical data in plots on a number line, including dot plots, histograms, and box plots. [6SP4] [MA2013] (6) 29: Summarize numerical data sets in relation to their context, such as by: [6SP5] [MA2013] (7) 17: Understand that statistics can be used to gain information about a population by examining a sample of the population; generalizations about a population from a sample are valid only if the sample is representative of that population. Understand that random sampling tends to produce representative samples and support valid inferences. [7SP1] [MA2013] AL1 (912) 41: Represent data with plots on the real number line (dot plots, histograms, and box plots). [SID1] [MA2013] AL1 (912) 42: Use statistics appropriate to the shape of the data distribution to compare center (median, mean) and spread (interquartile range, standard deviation) of two or more different data sets. [SID2] [MA2013] AL1 (912) 43: Interpret differences in shape, center, and spread in the context of the data sets, accounting for possible effects of extreme data points (outliers). [SID3]
Subject: Mathematics Title: Using NBA Statistics for Box and Whisker Plots
Description: Students use information from NBA statistics to make and compare box and whisker plots. The data provided in the lesson come from the NBA, but you could apply the lesson to data from the WNBA or any other sports teams or leagues for which player statistics are available. Thinkfinity Partner: Illuminations Grade Span: 6,7,8
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Title: Infograms: Show Your Data!
Digital Tool:
Infogram Web Address URL:
http://infogr.am Standard(s):
[TC2] (68) 2: Publish digital products that communicate curriculum concepts. [TC2] (68) 11: Use digital tools and strategies to locate, collect, organize, evaluate, and synthesize
information. [TC2] (68) 12: Use digital tools to communicate and collaborate at all levels from interpersonal to global. [TC2] (68) 14: Use digital tools to generate new ideas, products, or processes. [MA2013] (6) 28: Display numerical data in plots on a number line, including dot plots, histograms, and box plots. [6SP4] [MA2013] (6) 29: Summarize numerical data sets in relation to their context, such as by: [6SP5] [MA2013] (7) 17: Understand that statistics can be used to gain information about a population by examining a sample of the population; generalizations about a population from a sample are valid only if the sample is representative of that population. Understand that random sampling tends to produce representative samples and support valid inferences. [7SP1] [MA2013] (7) 18: Use data from a random sample to draw inferences about a population with an unknown characteristic of interest. Generate multiple samples (or simulated samples) of the same size to gauge the variation in estimates or predictions. [7SP2] [ELA2013] (6) 35: Include multimedia components (e.g., graphics, images, music, sound) and visual displays in presentations to clarify information. [SL.6.5] [ELA2013] (7) 34: Include multimedia components and visual displays in presentations to clarify claims and findings and emphasize salient points. [SL.7.5] Digital Tool Description: Infogram allows you to easily take data and create infographics. Use charts as well as pictures to display data into an easy to read and understand and attractive digital poster that can be displayed alone or embedded into a website.
Title: Infograms: Show Your Data! Digital Tool: Infogram Digital Tool Description: Infogram allows you to easily take data and create infographics. Use charts as well as pictures to display data into an easy to read and understand and attractive digital poster that can be displayed alone or embedded into a website.
ALEX Podcasts
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Title: Lip Balm Science
Overview:
This podcast is associated with the lesson plan, Lip Balm Science. The podcast shows the students creating lip balms, collecting data to test the lip balms and shows the results of the data collection. Standard(s):
[S1] (5) 1: Identify evidence of chemical changes through color, gas formation, solid formation, and temperature change. [MA2013] (6) 28: Display numerical data in plots on a number line, including dot plots, histograms, and box plots. [6SP4] [MA2013] (7) 2: Recognize and represent proportional relationships between quantities. [7RP2] [MA2013] (7) 21: Understand that the probability of a chance event is a number between 0 and 1 that expresses the likelihood of the event occurring. Larger numbers indicate greater likelihood. A probability near 0 indicates an unlikely event, a probability around ^{1}/_{2} indicates an event that is neither unlikely nor likely, and a probability near 1 indicates a likely event. [7SP5] [MA2013] (7) 22: Approximate the probability of a chance event by collecting data on the chance process that produces it and observing its longrun relative frequency, and predict the approximate relative frequency given the probability. [7SP6]
Lip Balm Science Overview:
This podcast is associated with the lesson plan, Lip Balm Science. The podcast shows the students creating lip balms, collecting data to test the lip balms and shows the results of the data collection.
Thinkfinity Podcasts
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Title: How Do You Unlock a Secret Code?
Description:
Cryptologists study secret codes. Being able to read encoded German and Japanese communications enabled the Allies to achieve victory in World War II., Join us as we explore how the code was cracked. By the end of this wonder, you may be making and breaking secret codes, too!
Standard(s): [MA2013] (3) 9: Identify arithmetic patterns (including patterns in the addition table or multiplication table), and explain them using properties of operations. [3OA9] [MA2013] (4) 5: Generate a number or shape pattern that follows a given rule. Identify apparent features of the pattern that were not explicit in the rule itself. [4OA5] [MA2013] (5) 3: Generate two numerical patterns using two given rules. Identify apparent relationships between corresponding terms. Form ordered pairs consisting of corresponding terms from the two patterns, and graph the ordered pairs on a coordinate plane. [5OA3] [MA2013] (6) 28: Display numerical data in plots on a number line, including dot plots, histograms, and box plots. [6SP4] [MA2013] (6) 29: Summarize numerical data sets in relation to their context, such as by: [6SP5]
Subject: CrossDisciplinary  Informal Education , Arts  Glass , Arts  Sculpture , Arts  Woodworking , Science  Earth science , Science  Geology , Informal Education  Zoo/Aquarium/Nature Center Education Title: How Do You Unlock a Secret Code?
Description: Cryptologists study secret codes. Being able to read encoded German and Japanese communications enabled the Allies to achieve victory in World War II., Join us as we explore how the code was cracked. By the end of this wonder, you may be making and breaking secret codes, too! Thinkfinity Partner: Wonderopolis Grade Span: K,PreK,1,2,3,4,5
Web Resources
Interactives/Games
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Title: Linear Regression I
Description:
This applet allows you to investigate a regression line, sometimes known as a "line of best fit."
Standard(s): [MA2013] (6) 28: Display numerical data in plots on a number line, including dot plots, histograms, and box plots. [6SP4] [MA2013] (8) 26: Know that straight lines are widely used to model relationships between two quantitative variables. For scatter plots that suggest a linear association, informally fit a straight line, and informally assess the model fit by judging the closeness of the data points to the line. [8SP2]
Linear Regression I
http://illuminations...
This applet allows you to investigate a regression line, sometimes known as a "line of best fit."
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Title: Create a Graph
Description:
Teachers and students can use this NCES Kids' Zone page to create different types of graphs.
Standard(s): [MA2013] (3) 18: Draw a scaled picture graph and a scaled bar graph to represent a data set with several categories. Solve one and twostep "how many more" and "how many less" problems using information presented in scaled bar graphs. [3MD3] [MA2013] (4) 22: Make a line plot to display a data set of measurements in fractions of a unit (^{1}/_{2}, ^{1}/_{4}, ^{1}/_{8}). Solve problems involving addition and subtraction of fractions by using information presented in line plots. [4MD4] [MA2013] (5) 19: Make a line plot to display a data set of measurements in fractions of a unit (^{1}/_{2}, ^{1}/_{4}, ^{1}/_{8}).
Use operations on fractions for this grade to solve problems involving information presented in line plots. [5MD2] [MA2013] (6) 28: Display numerical data in plots on a number line, including dot plots, histograms, and box plots. [6SP4]
Create a Graph
http://nces.ed.gov/n...
Teachers and students can use this NCES Kids' Zone page to create different types of graphs.
Learning Activities
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Title: Linear Regression I
Description:
This applet allows you to investigate a regression line, sometimes known as a "line of best fit."
Standard(s): [MA2013] (6) 28: Display numerical data in plots on a number line, including dot plots, histograms, and box plots. [6SP4] [MA2013] (8) 26: Know that straight lines are widely used to model relationships between two quantitative variables. For scatter plots that suggest a linear association, informally fit a straight line, and informally assess the model fit by judging the closeness of the data points to the line. [8SP2]
Linear Regression I
http://illuminations...
This applet allows you to investigate a regression line, sometimes known as a "line of best fit."
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Title: Bungee Barbie
Description:
This activity guides students through generating data by having Barbie bungee jump and then recording the data. Students use data to generate linear functions.
Standard(s): [MA2013] (6) 28: Display numerical data in plots on a number line, including dot plots, histograms, and box plots. [6SP4] [MA2013] (6) 29: Summarize numerical data sets in relation to their context, such as by: [6SP5] [MA2013] (8) 26: Know that straight lines are widely used to model relationships between two quantitative variables. For scatter plots that suggest a linear association, informally fit a straight line, and informally assess the model fit by judging the closeness of the data points to the line. [8SP2] [MA2013] (8) 27: Use the equation of a linear model to solve problems in the context of bivariate measurement data, interpreting the slope and intercept. [8SP3]
Bungee Barbie
http://illuminations...
This activity guides students through generating data by having Barbie bungee jump and then recording the data. Students use data to generate linear functions.
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Title: Create a Graph
Description:
Teachers and students can use this NCES Kids' Zone page to create different types of graphs.
Standard(s): [MA2013] (3) 18: Draw a scaled picture graph and a scaled bar graph to represent a data set with several categories. Solve one and twostep "how many more" and "how many less" problems using information presented in scaled bar graphs. [3MD3] [MA2013] (4) 22: Make a line plot to display a data set of measurements in fractions of a unit (^{1}/_{2}, ^{1}/_{4}, ^{1}/_{8}). Solve problems involving addition and subtraction of fractions by using information presented in line plots. [4MD4] [MA2013] (5) 19: Make a line plot to display a data set of measurements in fractions of a unit (^{1}/_{2}, ^{1}/_{4}, ^{1}/_{8}).
Use operations on fractions for this grade to solve problems involving information presented in line plots. [5MD2] [MA2013] (6) 28: Display numerical data in plots on a number line, including dot plots, histograms, and box plots. [6SP4]
Create a Graph
http://nces.ed.gov/n...
Teachers and students can use this NCES Kids' Zone page to create different types of graphs.
Thinkfinity Learning Activities
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Title: Mean and Median
Description:
In this applet from Illuminations, students investigate the mean, median, and boxandwhisker plot for a set of data that they create. The data set may contain up to 15 integers, each with a value from 0 to 100.
Standard(s): [MA2013] (6) 25: Recognize a statistical question as one that anticipates variability in the data related to the question and accounts for it in the answers. [6SP1] [MA2013] (6) 27: Recognize that a measure of center for a numerical data set summarizes all of its values with a single number, while a measure of variation describes how its values vary with a single number. [6SP3] [MA2013] (6) 28: Display numerical data in plots on a number line, including dot plots, histograms, and box plots. [6SP4] [MA2013] (6) 29: Summarize numerical data sets in relation to their context, such as by: [6SP5] [MA2013] (7) 20: Use measures of center and measures of variability for numerical data from random samples to draw informal comparative inferences about two populations. [7SP4] [MA2013] AL1 (912) 41: Represent data with plots on the real number line (dot plots, histograms, and box plots). [SID1] [MA2013] AL1 (912) 42: Use statistics appropriate to the shape of the data distribution to compare center (median, mean) and spread (interquartile range, standard deviation) of two or more different data sets. [SID2] [MA2013] AL1 (912) 43: Interpret differences in shape, center, and spread in the context of the data sets, accounting for possible effects of extreme data points (outliers). [SID3]
Subject: Mathematics Title: Mean and Median
Description: In this applet from Illuminations, students investigate the mean, median, and boxandwhisker plot for a set of data that they create. The data set may contain up to 15 integers, each with a value from 0 to 100. Thinkfinity Partner: Illuminations Grade Span: 6,7,8,9,10,11,12
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Title: Population Pasta
Description:
In this student activity, from Xpeditions, students investigate population statistics. Using different types of pasta to represent different numbers of people, students experiment with using graphs, maps, and more to illustrate the population densities of various countries.
Standard(s): [MA2013] (6) 25: Recognize a statistical question as one that anticipates variability in the data related to the question and accounts for it in the answers. [6SP1] [MA2013] (6) 28: Display numerical data in plots on a number line, including dot plots, histograms, and box plots. [6SP4] [MA2013] (6) 29: Summarize numerical data sets in relation to their context, such as by: [6SP5] [MA2013] (7) 17: Understand that statistics can be used to gain information about a population by examining a sample of the population; generalizations about a population from a sample are valid only if the sample is representative of that population. Understand that random sampling tends to produce representative samples and support valid inferences. [7SP1]
Subject: Mathematics  Statistics  Social Studies  Geography Title: Population Pasta
Description: In this student activity, from Xpeditions, students investigate population statistics. Using different types of pasta to represent different numbers of people, students experiment with using graphs, maps, and more to illustrate the population densities of various countries. Thinkfinity Partner: National Geographic Education Grade Span: K,1,2,3,4,5,6,7,8,9,10,11,12
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Title: How Do You Unlock a Secret Code?
Description:
Cryptologists study secret codes. Being able to read encoded German and Japanese communications enabled the Allies to achieve victory in World War II., Join us as we explore how the code was cracked. By the end of this wonder, you may be making and breaking secret codes, too!
Standard(s): [MA2013] (3) 9: Identify arithmetic patterns (including patterns in the addition table or multiplication table), and explain them using properties of operations. [3OA9] [MA2013] (4) 5: Generate a number or shape pattern that follows a given rule. Identify apparent features of the pattern that were not explicit in the rule itself. [4OA5] [MA2013] (5) 3: Generate two numerical patterns using two given rules. Identify apparent relationships between corresponding terms. Form ordered pairs consisting of corresponding terms from the two patterns, and graph the ordered pairs on a coordinate plane. [5OA3] [MA2013] (6) 28: Display numerical data in plots on a number line, including dot plots, histograms, and box plots. [6SP4] [MA2013] (6) 29: Summarize numerical data sets in relation to their context, such as by: [6SP5]
Subject: CrossDisciplinary  Informal Education , Arts  Glass , Arts  Sculpture , Arts  Woodworking , Science  Earth science , Science  Geology , Informal Education  Zoo/Aquarium/Nature Center Education Title: How Do You Unlock a Secret Code?
Description: Cryptologists study secret codes. Being able to read encoded German and Japanese communications enabled the Allies to achieve victory in World War II., Join us as we explore how the code was cracked. By the end of this wonder, you may be making and breaking secret codes, too! Thinkfinity Partner: Wonderopolis Grade Span: K,PreK,1,2,3,4,5
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Title: Circle Grapher
Description:
This student interactive, from Illuminations, allows students to create a customized circle graph as well as display preset circle graphs. They can choose from one of 3 predetermined data sets, or input their own data into the applet. In addition to the circle graph, a table of the data is also included.
Standard(s): [MA2013] (1) 18: Organize, represent, and interpret data with up to three categories; ask and answer questions about the total number of data points, how many in each category, and how many more or less are in one category than in another. [1MD4] [MA2013] (2) 22: Generate measurement data by measuring lengths of several objects to the nearest whole unit or by making repeated measurements of the same object. Show the measurements by making a line plot where the horizontal scale is marked off in wholenumber units. [2MD9] [MA2013] (2) 23: Draw a picture graph and a bar graph (with singleunit scale) to represent a data set with up to four categories. Solve simple puttogether, takeapart, and compare problems using information presented in a bar graph. (See Appendix A, Table 1.) [2MD10] [MA2013] (3) 18: Draw a scaled picture graph and a scaled bar graph to represent a data set with several categories. Solve one and twostep "how many more" and "how many less" problems using information presented in scaled bar graphs. [3MD3] [MA2013] (4) 22: Make a line plot to display a data set of measurements in fractions of a unit (^{1}/_{2}, ^{1}/_{4}, ^{1}/_{8}). Solve problems involving addition and subtraction of fractions by using information presented in line plots. [4MD4] [MA2013] (5) 19: Make a line plot to display a data set of measurements in fractions of a unit (^{1}/_{2}, ^{1}/_{4}, ^{1}/_{8}).
Use operations on fractions for this grade to solve problems involving information presented in line plots. [5MD2] [MA2013] (6) 25: Recognize a statistical question as one that anticipates variability in the data related to the question and accounts for it in the answers. [6SP1] [MA2013] (6) 28: Display numerical data in plots on a number line, including dot plots, histograms, and box plots. [6SP4] [MA2013] (6) 29: Summarize numerical data sets in relation to their context, such as by: [6SP5] [MA2013] (7) 17: Understand that statistics can be used to gain information about a population by examining a sample of the population; generalizations about a population from a sample are valid only if the sample is representative of that population. Understand that random sampling tends to produce representative samples and support valid inferences. [7SP1] [MA2013] AL1 (912) 41: Represent data with plots on the real number line (dot plots, histograms, and box plots). [SID1]
Subject: Mathematics Title: Circle Grapher
Description: This student interactive, from Illuminations, allows students to create a customized circle graph as well as display preset circle graphs. They can choose from one of 3 predetermined data sets, or input their own data into the applet. In addition to the circle graph, a table of the data is also included. Thinkfinity Partner: Illuminations Grade Span: K,PreK,1,2,3,4,5,6,7,8,9,10,11,12
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Title: Histogram Tool
Description:
This student interactive, from Illuminations, allows students to create a customized histogram as well as display preset histograms for various data sets. The tool also allows students to see a frequency table, adjust the interval, and view the median and standard deviation of a data set.
Standard(s): [MA2013] (4) 20: Use the four operations to solve word problems involving distances, intervals of time, liquid volumes, masses of objects, and money, including problems involving simple fractions or decimals, and problems that require expressing measurements given in a larger unit in terms of a smaller unit. Represent measurement quantities using diagrams such as number line diagrams that feature a measurement scale. [4MD2] [MA2013] (6) 25: Recognize a statistical question as one that anticipates variability in the data related to the question and accounts for it in the answers. [6SP1] [MA2013] (6) 28: Display numerical data in plots on a number line, including dot plots, histograms, and box plots. [6SP4] [MA2013] (6) 29: Summarize numerical data sets in relation to their context, such as by: [6SP5] [MA2013] (7) 17: Understand that statistics can be used to gain information about a population by examining a sample of the population; generalizations about a population from a sample are valid only if the sample is representative of that population. Understand that random sampling tends to produce representative samples and support valid inferences. [7SP1] [MA2013] (8) 28: Understand that patterns of association can also be seen in bivariate categorical data by displaying frequencies and relative frequencies in a twoway table. Construct and interpret a twoway table summarizing data on two categorical variables collected from the same subjects. Use relative frequencies calculated for rows or columns to describe possible association between the two variables. [8SP4] [MA2013] AL1 (912) 41: Represent data with plots on the real number line (dot plots, histograms, and box plots). [SID1] [MA2013] AL1 (912) 42: Use statistics appropriate to the shape of the data distribution to compare center (median, mean) and spread (interquartile range, standard deviation) of two or more different data sets. [SID2] [MA2013] AL1 (912) 43: Interpret differences in shape, center, and spread in the context of the data sets, accounting for possible effects of extreme data points (outliers). [SID3] [MA2013] AL1 (912) 44: Summarize categorical data for two categories in twoway frequency tables. Interpret relative frequencies in the context of the data (including joint, marginal, and conditional relative frequencies). Recognize possible associations and trends in the data. [SID5]
Subject: Mathematics Title: Histogram Tool
Description: This student interactive, from Illuminations, allows students to create a customized histogram as well as display preset histograms for various data sets. The tool also allows students to see a frequency table, adjust the interval, and view the median and standard deviation of a data set. Thinkfinity Partner: Illuminations Grade Span: 3,4,5,6,7,8,9,10,11,12

