**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:** Cool Kool-Aid Experiment

**Description:**
Seventh grade students have had wide-ranging experiences with fractions and operations on fractions, but ratios and rates may be new concepts for them. This activity introduces students to the idea of rates via a familiar and tangible product: Kool-Aid. Students will add varying amounts of Kool-Aid powder to a set amount of water, thereby producing a sensory experience of rates. The Kool-Aid example also provides a base experience upon which other examples can build.
**Standard(s): **

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

**Subject:**Mathematics (7)

**Title:**Cool Kool-Aid Experiment

**Description:**Seventh grade students have had wide-ranging experiences with fractions and operations on fractions, but ratios and rates may be new concepts for them. This activity introduces students to the idea of rates via a familiar and tangible product: Kool-Aid. Students will add varying amounts of Kool-Aid powder to a set amount of water, thereby producing a sensory experience of rates. The Kool-Aid example also provides a base experience upon which other examples can build.

**Title:** Where Did You Get Those "Jeans"?

**Description:**
This lesson can be interdisciplinary involving science, mathematics, and language arts. The primary nature of the lesson is inquiry, project, and technology-based. In science this project is a culminating activity in the heredity unit.
**Standard(s): **

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

**Subject:**Mathematics (7), or Credit Recovery Science (7), or Science (7), or Technology Education (6 - 8)

**Title:**Where Did You Get Those "Jeans"?

**Description:**This lesson can be interdisciplinary involving science, mathematics, and language arts. The primary nature of the lesson is inquiry, project, and technology-based. In science this project is a culminating activity in the heredity unit.

**Title:** Golden Ratios of the Body, Architecture, and Nature

**Description:**
Students will study the golden ratio as it relates to human body measurements, architecture, and nature. Students will use a desktop publishing program to create a poster. The poster will have digital photos of themselves, architecture samples, or nature examples. Students will also include a spreadsheet with the lengths, widths, and length/width ratios of the samples included in the photos.
**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 (6 - 12), or Technology Education (9 - 12)

**Title:**Golden Ratios of the Body, Architecture, and Nature

**Description:**Students will study the golden ratio as it relates to human body measurements, architecture, and nature. Students will use a desktop publishing program to create a poster. The poster will have digital photos of themselves, architecture samples, or nature examples. Students will also include a spreadsheet with the lengths, widths, and length/width ratios of the samples included in the photos.

**Title:** Trading and Tracking Stock Portfolios Online

**Description:**
Student teams will trade stocks and track the progress of their Alabama Stock Market Simulation portfolio by using spreadsheet software and the Internet. They will relate the information to a previous social studies unit on economics and will be utilizing math concepts they have learned. The Internet will be used to research stock trends.
**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), or Technology Education (6 - 8)

**Title:**Trading and Tracking Stock Portfolios Online

**Description:**Student teams will trade stocks and track the progress of their Alabama Stock Market Simulation portfolio by using spreadsheet software and the Internet. They will relate the information to a previous social studies unit on economics and will be utilizing math concepts they have learned. The Internet will be used to research stock trends.

**Title:** How Much Money Can I Make?

**Description:**
This lesson is a technology-based activity in which students will research two careers they are possibly interested in pursuing. They will convert the average yearly salary of each career into an hourly wage and record their findings in a spreadsheet. They will calculate their weekly gross and net pay for each career choice.
**Standard(s): **

[MA2015] (7) 6: Solve real-world and mathematical problems involving the four operations with rational numbers. (Computations with rational numbers extend the rules for manipulating fractions to complex fractions.) [7-NS3]

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

**Title:**How Much Money Can I Make?

**Description:**This lesson is a technology-based activity in which students will research two careers they are possibly interested in pursuing. They will convert the average yearly salary of each career into an hourly wage and record their findings in a spreadsheet. They will calculate their weekly gross and net pay for each career choice.

**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:** 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:** 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:** 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:** 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:** Go with Green Rectangles

**Description:**
In this lesson, one of a multi-part unit from Illuminations, students manipulate 2-dimensional rectangles using an online interactive applet. They focus on the relationship between the scale factor and ratio of perimeters of similar rectangles, and on the relationship between scale factor and ratio of areas of similar rectangles.
**Standard(s): **

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

**Subject:**Mathematics

**Title:**Go with Green Rectangles

**Description:**In this lesson, one of a multi-part unit from Illuminations, students manipulate 2-dimensional rectangles using an online interactive applet. They focus on the relationship between the scale factor and ratio of perimeters of similar rectangles, and on the relationship between scale factor and ratio of areas of similar rectangles.

**Thinkfinity Partner:**Illuminations

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

**Title:** Fill'r Up

**Description:**
In this lesson, one of a multi-part unit from Illuminations, students can manipulate the scale factor that links two three-dimensional rectangular prisms and learn about the relationships between edge lengths and volumes. Students use an online interactive applet to change the size of a set of rectangular prisms and observe the change in the ratio of the volumes.
**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

**Title:**Fill'r Up

**Description:**In this lesson, one of a multi-part unit from Illuminations, students can manipulate the scale factor that links two three-dimensional rectangular prisms and learn about the relationships between edge lengths and volumes. Students use an online interactive applet to change the size of a set of rectangular prisms and observe the change in the ratio of the volumes.

**Thinkfinity Partner:**Illuminations

**Grade Span:**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:** Numbers and Language

**Description:**
In this five-lesson unit, from Illuminations, students participate in activities in which they focus on the role of numbers and language in real-world situations. Students discuss, describe, read, and write about numbers they find in familiar real-world situations. An emphasis on using components of language helps students build a broader vocabulary of numbers than the traditional symbolic representation of numbers.
**Standard(s): **

[ELA2015] (8) 19: By the end of the year, read and comprehend literary nonfiction at the high end of the
Grades 6-8 text complexity band independently and proficiently. [RI.8.10]

**Subject:**Language Arts,Mathematics

**Title:**Numbers and Language

**Description:**In this five-lesson unit, from Illuminations, students participate in activities in which they focus on the role of numbers and language in real-world situations. Students discuss, describe, read, and write about numbers they find in familiar real-world situations. An emphasis on using components of language helps students build a broader vocabulary of numbers than the traditional symbolic representation of numbers.

**Thinkfinity Partner:**Illuminations

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

**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:** Calculation Nation

**Description:**
Become a citizen of Calculation Nation! Play online math strategy games to learn about fractions, factors, multiples, symmetry and more, as well as practice important skills like basic multiplication and calculating area! Calculation Nation uses the power of the Web to let students challenge themselves and opponents from anywhere in the world. The element of competition adds an extra layer of excitement.
**Standard(s): **

[MA2015] DM1 (9-12) 1: Analyze topics from elementary number theory, including perfect numbers and prime numbers, to determine properties of integers. (Alabama)

**Subject:**Mathematics

**Title:**Calculation Nation

**Description:**Become a citizen of Calculation Nation! Play online math strategy games to learn about fractions, factors, multiples, symmetry and more, as well as practice important skills like basic multiplication and calculating area! Calculation Nation uses the power of the Web to let students challenge themselves and opponents from anywhere in the world. The element of competition adds an extra layer of excitement.

**Thinkfinity Partner:**Illuminations

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