**Title:** Forecasting Statistics

**Description:**
Students will research the ten day weather forecast. They will document the high's for ten days as well as the low's for ten days. Once students document this information, they will find the mean, median, mode, and range of the data collected.
This is a College- and Career-Ready Standards showcase lesson plan.
**Standard(s): **

[ELA2015] (6) 1: Cite textual evidence to support analysis of what the text says explicitly as well as inferences drawn from the text. [RL.6.1]

**Subject:**English Language Arts (6), or Mathematics (6)

**Title:**Forecasting Statistics

**Description:**Students will research the ten day weather forecast. They will document the high's for ten days as well as the low's for ten days. Once students document this information, they will find the mean, median, mode, and range of the data collected. This is a College- and Career-Ready Standards showcase lesson plan.

**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): **

[TC2] (6-8) 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.

**Title:** Get on your Mark, Get Set, Go! Collect, Interpret, and Represent Data using a Bar Graph and a Circle Graph.

**Description:**
In collaborative/cooperative groups, students will review basic vocabulary and concepts for data and statistics. Students will create, collect, display, and interpret data in the form of frequency tables, bar graphs and circle graphs.
**Standard(s): **

[MA2015] (6) 29: Summarize numerical data sets in relation to their context, such as by: [6-SP5]

**Subject:**Mathematics (6 - 7)

**Title:**Get on your Mark, Get Set, Go! Collect, Interpret, and Represent Data using a Bar Graph and a Circle Graph.

**Description:**In collaborative/cooperative groups, students will review basic vocabulary and concepts for data and statistics. Students will create, collect, display, and interpret data in the form of frequency tables, bar graphs and circle graphs.

**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): **

[MA2015] AL1 (9-12) 43: Interpret differences in shape, center, and spread in the context of the data sets, accounting for possible effects of extreme data points (outliers). [S-ID3]

**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

**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): **

[MA2015] (7) 20: Use measures of center and measures of variability for numerical data from random samples to draw informal comparative inferences about two populations. [7-SP4]

**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

**Title:** Spinning Tops

**Description:**
In this lesson, one of a multi-part unit from Illuminations, students participate in games and activities that develop concepts of measurement and statistics. Students are asked to measure distances using standard and nonstandard units and to record their measurements in various tables. Then they are asked to use descriptive statistics to report the results.
**Standard(s): **

[MA2015] (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. [7-SP2]

**Subject:**Mathematics

**Title:**Spinning Tops

**Description:**In this lesson, one of a multi-part unit from Illuminations, students participate in games and activities that develop concepts of measurement and statistics. Students are asked to measure distances using standard and nonstandard units and to record their measurements in various tables. Then they are asked to use descriptive statistics to report the results.

**Thinkfinity Partner:**Illuminations

**Grade Span:**6,7,8

**Title:** Why Is California So Important?

**Description:**
In this lesson, one of a multi-part unit from Illuminations, students learn about the mechanics of the electoral college and use the State Data Map applet to gather data on the population and electoral votes for each state. Several questions are provided to strengthen understanding of measures of central tendency and fluency with decimals and percents.
**Standard(s): **

[MA2015] AL1 (9-12) 43: Interpret differences in shape, center, and spread in the context of the data sets, accounting for possible effects of extreme data points (outliers). [S-ID3]

**Subject:**Mathematics

**Title:**Why Is California So Important?

**Description:**In this lesson, one of a multi-part unit from Illuminations, students learn about the mechanics of the electoral college and use the State Data Map applet to gather data on the population and electoral votes for each state. Several questions are provided to strengthen understanding of measures of central tendency and fluency with decimals and percents.

**Thinkfinity Partner:**Illuminations

**Grade Span:**6,7,8

**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.
**Standard(s): **

[MA2015] MI1 (9-12) 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

**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 steam-and-leaf plots, box-and-whisker plots, and histograms, can be used to organize the data.
**Standard(s): **

[MA2015] AL1 (9-12) 43: Interpret differences in shape, center, and spread in the context of the data sets, accounting for possible effects of extreme data points (outliers). [S-ID3]

**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 steam-and-leaf plots, box-and-whisker plots, and histograms, can be used to organize the data.

**Thinkfinity Partner:**Illuminations

**Grade Span:**3,4,5,6,7,8

**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): **

[MA2015] AL1 (9-12) 43: Interpret differences in shape, center, and spread in the context of the data sets, accounting for possible effects of extreme data points (outliers). [S-ID3]

**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

**Title:** Birthday Paradox

**Description:**
This Illuminations lesson demonstrates the birthday paradox, using it as a springboard into a unit on probability. Students use the TI-83 graphing calculator to run a Monte Carlo simulation with the birthday paradox and engage in a graphical analysis of the birthday-problem function.
**Standard(s): **

[MA2015] PRE (9-12) 51: (+) Calculate the expected value of a random variable; interpret it as the mean of the probability distribution. [S-MD2]

**Subject:**Mathematics

**Title:**Birthday Paradox

**Description:**This Illuminations lesson demonstrates the birthday paradox, using it as a springboard into a unit on probability. Students use the TI-83 graphing calculator to run a Monte Carlo simulation with the birthday paradox and engage in a graphical analysis of the birthday-problem function.

**Thinkfinity Partner:**Illuminations

**Grade Span:**6,7,8,9,10,11,12

**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 multi-nation 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): **

[MA2015] PRE (9-12) 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. [S-MD1]

**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 multi-nation 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

**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.
**Standard(s): **

[MA2015] AL1 (9-12) 43: Interpret differences in shape, center, and spread in the context of the data sets, accounting for possible effects of extreme data points (outliers). [S-ID3]

**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

**Title:** Information Represented Graphically

**Description:**
In this three-lesson 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): **

[MA2015] (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. [7-SP2]

**Subject:**Mathematics

**Title:**Information Represented Graphically

**Description:**In this three-lesson 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

**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 sub-Saharan 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): **

[MA2015] (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. [7-SP2]

**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 sub-Saharan 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

**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): **

[MA2015] AL1 (9-12) 43: Interpret differences in shape, center, and spread in the context of the data sets, accounting for possible effects of extreme data points (outliers). [S-ID3]

**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

**Title:** What are the odds?

**Digital Tool:**
Marble Mania **Web Address URL:**
http://sciencenetlinks.com/interactives/marble/marblemania.html **Standard(s): **

[MA2015] (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. [6-SP2]**Digital Tool Description:** This is an interactive activity where students can engage in the process of probability. Marbles are "pulled" out of a bag. Students will notice with more trials, the more accurate the probability. Results can be shown in a bar graph or pie graph. The class/teacher will have the ability to control how many and what color marbles to pull and the number of trials.
(By holding the mouse over the bar or pie graph, the students will be able see the exact numbers.)

**Title:**What are the odds?

**Digital Tool:**Marble Mania

**Digital Tool Description:**This is an interactive activity where students can engage in the process of probability. Marbles are "pulled" out of a bag. Students will notice with more trials, the more accurate the probability. Results can be shown in a bar graph or pie graph. The class/teacher will have the ability to control how many and what color marbles to pull and the number of trials. (By holding the mouse over the bar or pie graph, the students will be able see the exact numbers.)

**Title:** Random Drawing Tool

**Description:**
This student interactive, from Illuminations, allows students to explore the relationship between theoretical and experimental probabilities. Students use this '' box model'' as a statistical device to simulate standard probability experiments such as flipping a coin or rolling a die.
**Standard(s): **

**Subject:**Mathematics

**Title:**Random Drawing Tool

**Description:**This student interactive, from Illuminations, allows students to explore the relationship between theoretical and experimental probabilities. Students use this '' box model'' as a statistical device to simulate standard probability experiments such as flipping a coin or rolling a die.

**Thinkfinity Partner:**Illuminations

**Grade Span:**3,4,5,6,7,8,9,10,11,12