**Title:** How Big Should it Be?

**Description:**
This lesson will allow students to become familiar with the concept of equivalent ratios and similar objects. Through an open investigation, students will develop methods to find equivalent ratios. This is a lesson to be used as part of a unit with Painter Problems and How Far Can You Leap found in ALEX.
This is a College- and Career-Ready Standards showcase lesson plan.
**Standard(s): **

[MA2015] (7) 11: Solve problems involving scale drawings of geometric figures, including computing actual lengths and areas from a scale drawing and reproducing a scale drawing at a different scale. [7-G1]

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

**Title:**How Big Should it Be?

**Description:**This lesson will allow students to become familiar with the concept of equivalent ratios and similar objects. Through an open investigation, students will develop methods to find equivalent ratios. This is a lesson to be used as part of a unit with Painter Problems and How Far Can You Leap found in ALEX. This is a College- and Career-Ready Standards showcase lesson plan.

**Title:** How Far Can You Leap?

**Description:**
This lesson will allow students to become familiar with the concept of unit rate. Through an open investigation students will develop methods to find unit rate with a table, equivalent ratios, or an equation. This is a lesson to be used as part of a unit with "Painter Problems" and "How Big Should It Be?"
This is a College- and Career-Ready Standards showcase lesson plan.
**Standard(s): **

[MA2015] (7) 1: Compute unit rates associated with ratios of fractions, including ratios of lengths, areas, and other quantities measured in like or different units. [7-RP1]

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

**Title:**How Far Can You Leap?

**Description:**This lesson will allow students to become familiar with the concept of unit rate. Through an open investigation students will develop methods to find unit rate with a table, equivalent ratios, or an equation. This is a lesson to be used as part of a unit with "Painter Problems" and "How Big Should It Be?" This is a College- and Career-Ready Standards showcase lesson plan.

**Title:** Painter Problems

**Description:**
This lesson will allow students to become familiar with ratios. In this investigative lesson students will compare ratios and determine equivalent ratios. This is an introductory lesson to be used as part of a unit.
This is a College- and Career-Ready Standards showcase lesson plan.
**Standard(s): **

[MA2015] (6) 3: Use ratio and rate reasoning to solve real-world and mathematical problems, e.g., by reasoning about tables of equivalent ratios, tape diagrams, double number line diagrams, or equations. [6-RP3]

**Subject:**Mathematics (6)

**Title:**Painter Problems

**Description:**This lesson will allow students to become familiar with ratios. In this investigative lesson students will compare ratios and determine equivalent ratios. This is an introductory lesson to be used as part of a unit. This is a College- and Career-Ready Standards showcase lesson plan.

**Title:** Can you survive in the real world?

**Description:**
Living in the real world is expensive and sometimes hard for a new college graduate to adjust to. This lesson will allow students to see the importance and need of budgeting money. Students will have to make choices and research different budget areas. Can they survive in the real world?
This lesson plan was created as a result of the Girls Engaged in Math and Science University, GEMS-U Project.
**Standard(s): **

[SS2010] CIV (7) 9: Apply principles of money management to the preparation of a personal budget that addresses housing, transportation, food, clothing, medical expenses, insurance, checking and savings accounts, loans, investments, credit, and comparison shopping.

**Subject:**Mathematics (4 - 6), or Social Studies (7), or Technology Education (6 - 8)

**Title:**Can you survive in the real world?

**Description:**Living in the real world is expensive and sometimes hard for a new college graduate to adjust to. This lesson will allow students to see the importance and need of budgeting money. Students will have to make choices and research different budget areas. Can they survive in the real world? This lesson plan was created as a result of the Girls Engaged in Math and Science University, GEMS-U Project.

**Title:** Aquarium Project

**Description:**
The class is given money to purchase fish for a class aquarium. Students must use the size and lifestyle requirements for the fish to decide which type to buy. Students must present their proposal to the principal in a letter.This lesson plan was created as a result of the Girls Engaged in Math and Science University, GEMS-U Project.
**Standard(s): **

[MA2015] (6) 6: Fluently add, subtract, multiply, and divide multi-digit decimals using the standard algorithm for each operation. [6-NS3]

**Subject:**Mathematics (5 - 6), or Technology Education (6 - 8)

**Title:**Aquarium Project

**Description:**The class is given money to purchase fish for a class aquarium. Students must use the size and lifestyle requirements for the fish to decide which type to buy. Students must present their proposal to the principal in a letter.This lesson plan was created as a result of the Girls Engaged in Math and Science University, GEMS-U Project.

**Title:** The Average Middle "Schooler"

**Description:**
In this lesson, students will work in groups to find the average middle school student. They will measure members of the group, find the average, and convert to different units of measure. Students will also conduct a survey and display the information in graphs.This lesson plan was created as a result of the Girls Engaged in Math and Science University, GEMS-U Project.
**Standard(s): **

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

**Subject:**Mathematics (5 - 6), or Technology Education (6 - 8)

**Title:**The Average Middle "Schooler"

**Description:**In this lesson, students will work in groups to find the average middle school student. They will measure members of the group, find the average, and convert to different units of measure. Students will also conduct a survey and display the information in graphs.This lesson plan was created as a result of the Girls Engaged in Math and Science University, GEMS-U Project.

**Title:** Fractions and Recipes

**Description:**
This is a lesson used to show how fractions are used in everyday life. Students will use the knowledge they have about fractions to change a recipe to accommodate different amounts of people. Students will enjoy navigating the Internet to locate a recipe. Students will also have the opportunity to make the recipe in class and share it with their friends.
**Standard(s): **

[MA2015] (6) 6: Fluently add, subtract, multiply, and divide multi-digit decimals using the standard algorithm for each operation. [6-NS3]

**Subject:**Mathematics (5 - 6)

**Title:**Fractions and Recipes

**Description:**This is a lesson used to show how fractions are used in everyday life. Students will use the knowledge they have about fractions to change a recipe to accommodate different amounts of people. Students will enjoy navigating the Internet to locate a recipe. Students will also have the opportunity to make the recipe in class and share it with their friends.

**Title:** Shake ‘n Go Fractions

**Description:**
This lesson is designed for cooperative groups. Students will use a computer tutorial to practice computing equivalent fractions and then will apply what they have learned to adjust a recipe for a tasty snack.
**Standard(s): **

[MA2015] (6) 3: Use ratio and rate reasoning to solve real-world and mathematical problems, e.g., by reasoning about tables of equivalent ratios, tape diagrams, double number line diagrams, or equations. [6-RP3]

**Subject:**Mathematics (6), or Technology Education (6 - 8)

**Title:**Shake ‘n Go Fractions

**Description:**This lesson is designed for cooperative groups. Students will use a computer tutorial to practice computing equivalent fractions and then will apply what they have learned to adjust a recipe for a tasty snack.

**Title:** Measuring Marvelously - Standard Ruler

**Description:**
This lesson is used to instruct students in the use of a standard "English" ruler for determining measurements. The students will read a standard ruler accurately to the nearest 1/16 of an inch. The student will measure different items to gain proficiency in measuring.
**Standard(s): **

[MA2015] (6) 3: Use ratio and rate reasoning to solve real-world and mathematical problems, e.g., by reasoning about tables of equivalent ratios, tape diagrams, double number line diagrams, or equations. [6-RP3]

**Subject:**Mathematics (6)

**Title:**Measuring Marvelously - Standard Ruler

**Description:**This lesson is used to instruct students in the use of a standard "English" ruler for determining measurements. The students will read a standard ruler accurately to the nearest 1/16 of an inch. The student will measure different items to gain proficiency in measuring.

**Title:** Percents

**Description:**
This lesson provides a variety of activities for the students to experience using percents. The usage of percents is presented in the context of situations that occur in a student's daily life. A kinesthetic activity is also included to reach all learning types.
**Standard(s): **

[MA2015] (6) 3: Use ratio and rate reasoning to solve real-world and mathematical problems, e.g., by reasoning about tables of equivalent ratios, tape diagrams, double number line diagrams, or equations. [6-RP3]

**Subject:**Mathematics (6)

**Title:**Percents

**Description:**This lesson provides a variety of activities for the students to experience using percents. The usage of percents is presented in the context of situations that occur in a student's daily life. A kinesthetic activity is also included to reach all learning types.

**Title:** A Swath of Red

**Description:**
In this lesson, one of a multi-part unit from Illuminations, students estimate the area of the country that voted for the Republican candidate and the area that voted for the Democratic candidate in the 2000 presidential election using a grid overlay. Students then compare the areas to the electoral and popular vote election results. Ratios of electoral votes to area are used to make generalizations about the population distribution of 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:**Mathematics

**Title:**A Swath of Red

**Description:**In this lesson, one of a multi-part unit from Illuminations, students estimate the area of the country that voted for the Republican candidate and the area that voted for the Democratic candidate in the 2000 presidential election using a grid overlay. Students then compare the areas to the electoral and popular vote election results. Ratios of electoral votes to area are used to make generalizations about the population distribution of the United States.

**Thinkfinity Partner:**Illuminations

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

**Title:** Real Estate Tycoon

**Description:**
This year-long project, from Illuminations, is divided into three parts and reinforces skills that lay a foundation for algebra, such as measurement, fractions, decimals, percents, and proportions. Students design, build, and sell a house and then simulate investment of the profits in the stock market. Along the way, students make scale drawings, compute with fractions and decimals in various contexts, solve simple equations, and learn valuable lessons about how money really works.
**Standard(s): **

[SS2010] CIV (7) 9: Apply principles of money management to the preparation of a personal budget that addresses housing, transportation, food, clothing, medical expenses, insurance, checking and savings accounts, loans, investments, credit, and comparison shopping.

**Subject:**Arts,Mathematics,Social Studies

**Title:**Real Estate Tycoon

**Description:**This year-long project, from Illuminations, is divided into three parts and reinforces skills that lay a foundation for algebra, such as measurement, fractions, decimals, percents, and proportions. Students design, build, and sell a house and then simulate investment of the profits in the stock market. Along the way, students make scale drawings, compute with fractions and decimals in various contexts, solve simple equations, and learn valuable lessons about how money really works.

**Thinkfinity Partner:**Illuminations

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

**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 problem-solving 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 school-wide activities.
**Standard(s): **

[MA2015] ALC (9-12) 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 problem-solving 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 school-wide activities.

**Thinkfinity Partner:**Illuminations

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

**Title:** Inclined Plane

**Description:**
In this multiple-day activity, from Illuminations, students time balls rolling down inclines of varying lengths and heights. They then try to make inferences about the relationships among the variables involved.
**Standard(s): **

[MA2015] AL1 (9-12) 46: Interpret the slope (rate of change) and the intercept (constant term) of a linear model in the context of the data. [S-ID7]

**Subject:**Mathematics,Science

**Title:**Inclined Plane

**Description:**In this multiple-day activity, from Illuminations, students time balls rolling down inclines of varying lengths and heights. They then try to make inferences about the relationships among the variables involved.

**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:** Paper Pool: Analyzing Numeric and Geometric Patterns

**Description:**
This page provides an overview of a four-lesson Illuminations unit plan titled '' Analyzing Numeric and Geometric Patterns of Paper Pool.'' The interactive paper pool game in this unit plan provides an opportunity for students to further develop their understanding of ratio, proportion, and least common multiple. This investigation includes student resources for the Paper Pool project, preparation notes, answers, and a holistic-by-category scoring rubric with guidelines for how it can be used to assess the project. Samples of two students' work and comments from a teacher accompany the suggested rubric. This resource references the Illuminations lessons titled '' Paper Pool Game,'' '' Explore More Tables,'' '' Look for Patterns,'' and '' Go the Distance.''
**Standard(s): **

[MA2015] (6) 3: Use ratio and rate reasoning to solve real-world and mathematical problems, e.g., by reasoning about tables of equivalent ratios, tape diagrams, double number line diagrams, or equations. [6-RP3]

**Subject:**Mathematics

**Title:**Paper Pool: Analyzing Numeric and Geometric Patterns

**Description:**This page provides an overview of a four-lesson Illuminations unit plan titled '' Analyzing Numeric and Geometric Patterns of Paper Pool.'' The interactive paper pool game in this unit plan provides an opportunity for students to further develop their understanding of ratio, proportion, and least common multiple. This investigation includes student resources for the Paper Pool project, preparation notes, answers, and a holistic-by-category scoring rubric with guidelines for how it can be used to assess the project. Samples of two students' work and comments from a teacher accompany the suggested rubric. This resource references the Illuminations lessons titled '' Paper Pool Game,'' '' Explore More Tables,'' '' Look for Patterns,'' and '' Go the Distance.''

**Thinkfinity Partner:**Illuminations

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

**Title:** Paper Pool Game

**Description:**
In this lesson, one of a multi-part unit from Illuminations, students further develop their understanding of ratio, proportion, and least common multiple by playing an interactive paper pool game.
**Standard(s): **

[MA2015] (6) 3: Use ratio and rate reasoning to solve real-world and mathematical problems, e.g., by reasoning about tables of equivalent ratios, tape diagrams, double number line diagrams, or equations. [6-RP3]

**Subject:**Mathematics

**Title:**Paper Pool Game

**Description:**In this lesson, one of a multi-part unit from Illuminations, students further develop their understanding of ratio, proportion, and least common multiple by playing an interactive paper pool game.

**Thinkfinity Partner:**Illuminations

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

**Title:** Explore More Tables

**Description:**
In this lesson, one of a multi-part unit from Illuminations, students further develop their understanding of ratio, proportion, and least common multiple.
**Standard(s): **

[MA2015] (8) 28: Understand that patterns of association can also be seen in bivariate categorical data by displaying frequencies and relative frequencies in a two-way table. Construct and interpret a two-way 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. [8-SP4]

**Subject:**Mathematics

**Title:**Explore More Tables

**Description:**In this lesson, one of a multi-part unit from Illuminations, students further develop their understanding of ratio, proportion, and least common multiple.

**Thinkfinity Partner:**Illuminations

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

**Title:** Look for Patterns

**Description:**
In this lesson, one of a multi-part unit from Illuminations, students further develop their understanding of ratio, proportion, and least common multiple.
**Standard(s): **

[MA2015] (7) 2: Recognize and represent proportional relationships between quantities. [7-RP2]

**Subject:**Mathematics

**Title:**Look for Patterns

**Description:**In this lesson, one of a multi-part unit from Illuminations, students further develop their understanding of ratio, proportion, and least common multiple.

**Thinkfinity Partner:**Illuminations

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

**Title:** Travel in the Solar System: Lesson 2

**Description:**
In this lesson, one of a multi-part unit from Illuminations, students consider the amount of time that space travelers need to travel to the four terrestrial planets. Students also think about what kinds of events might occur on Earth while the space travelers are on their journey.
**Standard(s): **

[MA2015] (8) 7: Graph proportional relationships, interpreting the unit rate as the slope of the graph. Compare two different proportional relationships represented in different ways. [8-EE5]

**Subject:**Mathematics,Science

**Title:**Travel in the Solar System: Lesson 2

**Description:**In this lesson, one of a multi-part unit from Illuminations, students consider the amount of time that space travelers need to travel to the four terrestrial planets. Students also think about what kinds of events might occur on Earth while the space travelers are on their journey.

**Thinkfinity Partner:**Illuminations

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

**Title:** Shopping Mall Math

**Description:**
In this two-lesson unit, from Illuminations, students participate in activities in which they develop number sense in and around the shopping mall. Two grade-level activities deal with size and space, estimation, measurement and applications involving percent.
**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:**Shopping Mall Math

**Description:**In this two-lesson unit, from Illuminations, students participate in activities in which they develop number sense in and around the shopping mall. Two grade-level activities deal with size and space, estimation, measurement and applications involving percent.

**Thinkfinity Partner:**Illuminations

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

**Title:** Shops at the Mall

**Description:**
In this lesson, one of a multi-part unit from Illuminations, students develop number sense in and around the shopping mall. They explore the allotment of space within a mall by generating a class list of stores typically found in a shopping center or mall. They then categorize stores into general categories, such as women's clothing, food service, and so on, and conduct research about malls in their own area. Finally, students plan a mall and create a scale drawing.
**Standard(s): **

[MA2015] (7) 11: Solve problems involving scale drawings of geometric figures, including computing actual lengths and areas from a scale drawing and reproducing a scale drawing at a different scale. [7-G1]

**Subject:**Mathematics

**Title:**Shops at the Mall

**Description:**In this lesson, one of a multi-part unit from Illuminations, students develop number sense in and around the shopping mall. They explore the allotment of space within a mall by generating a class list of stores typically found in a shopping center or mall. They then categorize stores into general categories, such as women's clothing, food service, and so on, and conduct research about malls in their own area. Finally, students plan a mall and create a scale drawing.

**Thinkfinity Partner:**Illuminations

**Grade Span:**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:** Big Math and Fries

**Description:**
This Illuminations lesson is designed to enlighten students about how to calculate percent of calories from fat, carbohydrates, and protein. The calculations are made to determine if a person can follow the Zone Diet with only McDonald's food items.
**Standard(s): **

[MA2015] (7) 3: Use proportional relationships to solve multistep ratio and percent problems. [7-RP3]

**Subject:**Health,Mathematics,Informal Education

**Title:**Big Math and Fries

**Description:**This Illuminations lesson is designed to enlighten students about how to calculate percent of calories from fat, carbohydrates, and protein. The calculations are made to determine if a person can follow the Zone Diet with only McDonald's food items.

**Thinkfinity Partner:**Illuminations

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

**Title:** Purple Prisms

**Description:**
In this lesson, one of a multi-part unit from Illuminations, students investigate rectangular prisms using an online, interactive applet. They manipulate the scale factor that links two three-dimensional rectangular prisms to learn about edge lengths and surface area relationships.
**Standard(s): **

[MA2015] (7) 11: Solve problems involving scale drawings of geometric figures, including computing actual lengths and areas from a scale drawing and reproducing a scale drawing at a different scale. [7-G1]

**Subject:**Mathematics

**Title:**Purple Prisms

**Description:**In this lesson, one of a multi-part unit from Illuminations, students investigate rectangular prisms using an online, interactive applet. They manipulate the scale factor that links two three-dimensional rectangular prisms to learn about edge lengths and surface area relationships.

**Thinkfinity Partner:**Illuminations

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

**Title:** Measurement Terms

**Description:**
This lesson, one of a multi-part unit from Illuminations, introduces relationships between measurement and geometry. The activities build on students prior knowledge as they work with partners and as a whole class to list, group, label, and write to present their understanding.
**Standard(s): **

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

**Subject:**Mathematics

**Title:**Measurement Terms

**Description:**This lesson, one of a multi-part unit from Illuminations, introduces relationships between measurement and geometry. The activities build on students prior knowledge as they work with partners and as a whole class to list, group, label, and write to present their understanding.

**Thinkfinity Partner:**Illuminations

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

**Title:** Mathematics and Children's Literature

**Description:**
In this five-lesson unit, from Illuminations, students participate in activities in which they focus on connections between mathematics and children s literature. Five pieces of literature are applied to teaching a wide range of topics in the mathematics curriculum, from sorting and classifying to the meaning of averages.
**Standard(s): **

[ELA2015] (8) 9: By the end of the year, read and comprehend literature, including stories, dramas, and poems, at the high end of Grades 6-8 text complexity band independently and proficiently. [RL.8.10]

**Subject:**Language Arts,Mathematics

**Title:**Mathematics and Children's Literature

**Description:**In this five-lesson unit, from Illuminations, students participate in activities in which they focus on connections between mathematics and children s literature. Five pieces of literature are applied to teaching a wide range of topics in the mathematics curriculum, from sorting and classifying to the meaning of averages.

**Thinkfinity Partner:**Illuminations

**Grade Span:**K,PreK,1,2,3,4,5,6,7,8

**Title:** Making Beds

**Description:**
In this lesson, one of a multi-part unit from Illuminations, students participate in activities in which they focus on connections between mathematics and children s literature. They listen to the story How Big Is a Foot? by Rolf Myller and then explore the need for a standard unit of measure.
**Standard(s): **

[ELA2015] (5) 1: Quote accurately from a text when explaining what the text says explicitly and when drawing inferences from the text. [RL.5.1]

**Subject:**Language Arts,Mathematics

**Title:**Making Beds

**Description:**In this lesson, one of a multi-part unit from Illuminations, students participate in activities in which they focus on connections between mathematics and children s literature. They listen to the story How Big Is a Foot? by Rolf Myller and then explore the need for a standard unit of measure.

**Thinkfinity Partner:**Illuminations

**Grade Span:**K,PreK,1,2,3,4,5,6,7,8

**Title:** How Much is a Million?

**Description:**
This lesson focuses students on the concept of 1,000,000. It allows students to see first-hand the sheer size of a million while at the same time providing students with an introduction to sampling and its use in mathematics. Students will use grains of rice and a balance to figure out the approximate volume and mass of 1,000,000 grains of rice.
**Standard(s): **

[MA2015] (8) 6: Perform operations with numbers expressed in scientific notation, including problems where both decimal and scientific notation are used. Use scientific notation and choose units of appropriate size for measurements of very large or very small quantities (e.g., use millimeters per year for seafloor spreading). Interpret scientific notation that has been generated by technology. [8-EE4]

**Subject:**Language Arts,Mathematics

**Title:**How Much is a Million?

**Description:**This lesson focuses students on the concept of 1,000,000. It allows students to see first-hand the sheer size of a million while at the same time providing students with an introduction to sampling and its use in mathematics. Students will use grains of rice and a balance to figure out the approximate volume and mass of 1,000,000 grains of rice.

**Thinkfinity Partner:**Illuminations

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

**Title:** Ratios

**Description:**
This reproducible transparency, from an Illuminations lesson, features equations for finding the ratios for surface area and volume when comparing a model to a full-size object.
**Standard(s): **

[MA2015] (6) 3: Use ratio and rate reasoning to solve real-world and mathematical problems, e.g., by reasoning about tables of equivalent ratios, tape diagrams, double number line diagrams, or equations. [6-RP3]

**Subject:**Mathematics

**Title:**Ratios

**Description:**This reproducible transparency, from an Illuminations lesson, features equations for finding the ratios for surface area and volume when comparing a model to a full-size object.

**Thinkfinity Partner:**Illuminations

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

**Title:** Apple Pi

**Description:**
In this unit of two lessons, from Illuminations, students use estimation and measurement skills to determine the ratio of circumference to diameter and explore the meaning of pi. They discover formulas for the circumference and area of a circle based on their investigations.
**Standard(s): **

[MA2015] (7) 14: Know the formulas for the area and circumference of a circle, and use them to solve problems; give an informal derivation of the relationship between the circumference and area of a circle. [7-G4]

**Subject:**Mathematics

**Title:**Apple Pi

**Description:**In this unit of two lessons, from Illuminations, students use estimation and measurement skills to determine the ratio of circumference to diameter and explore the meaning of pi. They discover formulas for the circumference and area of a circle based on their investigations.

**Thinkfinity Partner:**Illuminations

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

**Title:** Bagel Algebra

**Description:**
In this Illuminations lesson, a real life example--taken from a bagel shop--is used to get students to think about solving a problem symbolically. Students must decipher a series of equations and interpret results to understand the point that the bagel shop s owner is trying to make about the price of his bagels compared to that of his competitor.
**Standard(s): **

[MA2015] (8) 7: Graph proportional relationships, interpreting the unit rate as the slope of the graph. Compare two different proportional relationships represented in different ways. [8-EE5]

**Subject:**Mathematics

**Title:**Bagel Algebra

**Description:**In this Illuminations lesson, a real life example--taken from a bagel shop--is used to get students to think about solving a problem symbolically. Students must decipher a series of equations and interpret results to understand the point that the bagel shop s owner is trying to make about the price of his bagels compared to that of his competitor.

**Thinkfinity Partner:**Illuminations

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

**Title:** Bagel Comparison

**Description:**
This reproducible transparency, from an Illuminations lesson, presents information from a sign displayed by a real bagel retailer, comparing the price of their bagels to that of their competitor.
**Standard(s): **

[MA2015] (8) 7: Graph proportional relationships, interpreting the unit rate as the slope of the graph. Compare two different proportional relationships represented in different ways. [8-EE5]

**Subject:**Mathematics

**Title:**Bagel Comparison

**Description:**This reproducible transparency, from an Illuminations lesson, presents information from a sign displayed by a real bagel retailer, comparing the price of their bagels to that of their competitor.

**Thinkfinity Partner:**Illuminations

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

**Title:** How Steep Can You Be?

**Description:**
In this lesson, one of a multi-part unit from Illuminations, students consider the construction of a tool that will measure percent slope. They then use ideas about percent slope to determine recommended defensible space distances near a home, in relation to protecting the home from wildfires.
**Standard(s): **

[MA2015] (8) 7: Graph proportional relationships, interpreting the unit rate as the slope of the graph. Compare two different proportional relationships represented in different ways. [8-EE5]

**Subject:**Mathematics

**Title:**How Steep Can You Be?

**Description:**In this lesson, one of a multi-part unit from Illuminations, students consider the construction of a tool that will measure percent slope. They then use ideas about percent slope to determine recommended defensible space distances near a home, in relation to protecting the home from wildfires.

**Thinkfinity Partner:**Illuminations

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

**Title:** Constant Dimensions

**Description:**
In this Illuminations lesson, students measure the length and width of a rectangle using both standard and non-standard units of measure. In addition to providing measurement practice, this lesson allows students to discover that the ratio of length to width of a rectangle is constant, in spite of the units. For many middle school students, this discovery is surprising.
**Standard(s): **

[MA2015] (7) 10: Use variables to represent quantities in a real-world or mathematical problem, and construct simple equations and inequalities to solve problems by reasoning about the quantities. [7-EE4]

**Subject:**Mathematics

**Title:**Constant Dimensions

**Description:**In this Illuminations lesson, students measure the length and width of a rectangle using both standard and non-standard units of measure. In addition to providing measurement practice, this lesson allows students to discover that the ratio of length to width of a rectangle is constant, in spite of the units. For many middle school students, this discovery is surprising.

**Thinkfinity Partner:**Illuminations

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

**Title:** Capture - Recapture

**Description:**
In this lesson, students experience an application of proportion that scientists actually use to solve real-life problems. Students learn how to estimate the size of a total population by taking samples and using proportions. The ratio of tagged items to the number of items in a sample is the same as the ratio of tagged items to the total population.
**Standard(s): **

[MA2015] AL2 (9-12) 14: Derive the formula for the sum of a finite geometric series (when the common ratio is not 1), and use the formula to solve problems.* [A-SSE4]

**Subject:**Mathematics

**Title:**Capture - Recapture

**Description:**In this lesson, students experience an application of proportion that scientists actually use to solve real-life problems. Students learn how to estimate the size of a total population by taking samples and using proportions. The ratio of tagged items to the number of items in a sample is the same as the ratio of tagged items to the total population.

**Thinkfinity Partner:**Illuminations

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

**Title:** Bean Counting

**Description:**
By using sampling from a large collection of beans, students get a sense of equivalent fractions, which leads to a better understanding of proportions. Equivalent fractions are used to develop an understanding of proportions. The number-sense of recognizing equivalent fractions is useful when students study slope and proportions.
**Standard(s): **

[MA2015] ALC (9-12) 1: Create algebraic models for application-based problems by developing and solving equations and inequalities, including those involving direct, inverse, and joint variation. (Alabama)

**Subject:**Mathematics

**Title:**Bean Counting

**Description:**By using sampling from a large collection of beans, students get a sense of equivalent fractions, which leads to a better understanding of proportions. Equivalent fractions are used to develop an understanding of proportions. The number-sense of recognizing equivalent fractions is useful when students study slope and proportions.

**Thinkfinity Partner:**Illuminations

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

**Title:** How Can Math Help You Cook?

**Description:**
You might think the best part of making brownies is enjoying the end result, but gathering and mixing the ingredients can be just as fun. Grab a spoon and let's find out what ice cream can teach us about math. Yummy!
**Standard(s): **

[MA2015] (6) 6: Fluently add, subtract, multiply, and divide multi-digit decimals using the standard algorithm for each operation. [6-NS3]

**Subject:**Cross-Disciplinary - Informal Education , Health - Nutrition , Mathematics - Applied Mathematics , Mathematics - Arithmetic , Mathematics - Measurement , Science - Biological and Life Sciences , Science - Biology , Science - Chemistry , Science - General Science , Adult & Family Literacy - Lifeskills , Informal Education - Health/Wellness/Nutrition/Cooking

**Title:**How Can Math Help You Cook?

**Description:**You might think the best part of making brownies is enjoying the end result, but gathering and mixing the ingredients can be just as fun. Grab a spoon and let's find out what ice cream can teach us about math. Yummy!

**Thinkfinity Partner:**Wonderopolis

**Grade Span:**K,PreK,1,2,3,4,5

**Title:** Fraction Models

**Description:**
This student interactive, from Illuminations, explores several representations for fractions using adjustable numerators and denominators. Students can see decimal and percent equivalents, as well as a model that represents each fraction.
**Standard(s): **

[MA2015] (7) 5: Apply and extend previous understandings of multiplication and division and of fractions to multiply and divide rational numbers. [7-NS2]

**Subject:**Mathematics

**Title:**Fraction Models

**Description:**This student interactive, from Illuminations, explores several representations for fractions using adjustable numerators and denominators. Students can see decimal and percent equivalents, as well as a model that represents each fraction.

**Thinkfinity Partner:**Illuminations

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

**Title:** Fire

**Description:**
In this student interactive, from Illuminations, students can see the results of a fire if a forest is densely planted in a rectangular grid. Students are able to choose a starting place for the fire and enter the probability that a given tree will burn.
**Standard(s): **

**Subject:**Mathematics

**Title:**Fire

**Description:**In this student interactive, from Illuminations, students can see the results of a fire if a forest is densely planted in a rectangular grid. Students are able to choose a starting place for the fire and enter the probability that a given tree will burn.

**Thinkfinity Partner:**Illuminations

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

**Title:** Canada Data Map

**Description:**
Investigate data for the Canadian provinces and territories with this interactive tool. Students can examine data sets contained within the interactive, or they can enter their own data.
**Standard(s): **

[MA2015] GEO (9-12) 40: Apply concepts of density based on area and volume in modeling situations (e.g., persons per square mile, British Thermal Units (BTUs) per cubic foot).* [G-MG2]

**Subject:**Mathematics

**Title:**Canada Data Map

**Description:**Investigate data for the Canadian provinces and territories with this interactive tool. Students can examine data sets contained within the interactive, or they can enter their own data.

**Thinkfinity Partner:**Illuminations

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

**Title:** How Can Math Help You Cook?

**Description:**
You might think the best part of making brownies is enjoying the end result, but gathering and mixing the ingredients can be just as fun. Grab a spoon and let's find out what ice cream can teach us about math. Yummy!
**Standard(s): **

[MA2015] (6) 6: Fluently add, subtract, multiply, and divide multi-digit decimals using the standard algorithm for each operation. [6-NS3]

**Subject:**Cross-Disciplinary - Informal Education , Health - Nutrition , Mathematics - Applied Mathematics , Mathematics - Arithmetic , Mathematics - Measurement , Science - Biological and Life Sciences , Science - Biology , Science - Chemistry , Science - General Science , Adult & Family Literacy - Lifeskills , Informal Education - Health/Wellness/Nutrition/Cooking

**Title:**How Can Math Help You Cook?

**Description:**You might think the best part of making brownies is enjoying the end result, but gathering and mixing the ingredients can be just as fun. Grab a spoon and let's find out what ice cream can teach us about math. Yummy!

**Thinkfinity Partner:**Wonderopolis

**Grade Span:**K,PreK,1,2,3,4,5

**Title:** Dynamic Paper Tool

**Description:**
Create customized activity sheets for your classroom! Nets of 3-D shapes, tessellations, coordinate graphs, and more - all based on your input.
**Standard(s): **

[MA2015] (6) 24: Represent three-dimensional figures using nets made up of rectangles and triangles, and use the nets to find the surface area of these figures. Apply these techniques in the context of solving real-world and mathematical problems. [6-G4]

**Subject:**Mathematics

**Title:**Dynamic Paper Tool

**Description:**Create customized activity sheets for your classroom! Nets of 3-D shapes, tessellations, coordinate graphs, and more - all based on your input.

**Thinkfinity Partner:**Illuminations

**Grade Span:**K,1,2,3,4,5,6,7,8,9,10,11,12