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College Athletes

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n this task, students are able to conjecture about the differences in the two groups from a strictly visual perspective and then support their comparisons with appropriate measures of center and variability. This will reinforce that much can be gleaned simply from visual comparison of appropraite graphs, particularly those of similar scale. Students are also encouraged to consider how certain measurements and observation values from one group compare in the context of the other group.

Material Type: Activity/Lab

Author: Illustrative Mathematics

Offensive Linemen

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In this task, students are able to conjecture about the differences and similarities in the two groups from a strictly visual perspective and then support their comparisons with appropriate measures of center and variability. This will reinforce that much can be gleaned simply from visual comparison of appropriate graphs, particularly those of similar scale.

Material Type: Activity/Lab

Author: Illustrative Mathematics

7.G Designs

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This is a task from the Illustrative Mathematics website that is one part of a complete illustration of the standard to which it is aligned. Each task has at least one solution and some commentary that addresses important asects of the task and its potential use. Here are the first few lines of the commentary for this task: Find the area and perimeter of the colored part of each of the six figures below. The purple, blue, orange, red, and green figures are composed of smal...

Material Type: Activity/Lab

Author: Illustrative Mathematics

Eight Circles

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The purpose of this task is to strengthen students' understanding of area. It could be assigned in class to individuals or small groups or given as a homework exercise to generate interesting discussions the following day. The relatively high levels of complexity and technical demand enhance its instructional value.

Material Type: Activity/Lab

Author: Illustrative Mathematics

7.NS Rounding and Subtracting

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This is a task from the Illustrative Mathematics website that is one part of a complete illustration of the standard to which it is aligned. Each task has at least one solution and some commentary that addresses important asects of the task and its potential use. Here are the first few lines of the commentary for this task: Xiaoli was estimating the difference between two positive numbers $x$ and $y$ (where $x\gt y$). First she rounded $x$ up by a small amount. Then she ro...

Material Type: Activity/Lab

Author: Illustrative Mathematics

7.NS, 7.EE Bookstore Account

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This is a task from the Illustrative Mathematics website that is one part of a complete illustration of the standard to which it is aligned. Each task has at least one solution and some commentary that addresses important asects of the task and its potential use. Here are the first few lines of the commentary for this task: At the beginning of the month, Evan had \$24 in his account at the school bookstore. Use a variable to represent the unknown quantity in each transacti...

Material Type: Activity/Lab

Author: Illustrative Mathematics

Why is a Negative Times a Negative Always Positive?

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The purpose of this task is for students to understand the reason it makes sense for the product of two negative numbers to be positive. The idea is that if the properties of operations with which we are familiar when we do arithmetic with positive numbers are universal, then we have to define multiplication on signed numbers the way we do. The task only works through a single example, but the argument would work for any two negative numbers.

Material Type: Activity/Lab

Author: Illustrative Mathematics

Sharing Prize Money

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This task requires students to be able to reason abstractly about fraction multiplication as it would not be realistic for them to solve it using a visual fraction model. Even though the numbers are too messy to draw out an exact picture, this task still provides opportunities for students to reason about their computations to see if they make sense.

Material Type: Activity/Lab

Author: Illustrative Mathematics

7.RP Molly's Run, Assessment Variation

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This is a task from the Illustrative Mathematics website that is one part of a complete illustration of the standard to which it is aligned. Each task has at least one solution and some commentary that addresses important asects of the task and its potential use. Here are the first few lines of the commentary for this task: Molly ran $\frac{2}{3}$ of a mile in 8 minutes. If Molly runs at that speed, how long will it take her to run one mile? [_____]...

Material Type: Activity/Lab

Author: Illustrative Mathematics

7.RP Robot Races, Assessment Variation

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This is a task from the Illustrative Mathematics website that is one part of a complete illustration of the standard to which it is aligned. Each task has at least one solution and some commentary that addresses important asects of the task and its potential use. Here are the first few lines of the commentary for this task: The students in Carli’s class built some solar-powered robots which they raced in the cafeteria of the school. http://www.youtube.com/watch?v=wOI66f4BS...

Material Type: Activity/Lab

Author: Illustrative Mathematics

7.RP Art Class, Assessment Variation

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This is a task from the Illustrative Mathematics website that is one part of a complete illustration of the standard to which it is aligned. Each task has at least one solution and some commentary that addresses important asects of the task and its potential use. Here are the first few lines of the commentary for this task: The students in Ms. Baca’s art class were mixing yellow and blue paint. She told them that two mixtures will be the same shade of green if the blue and...

Material Type: Activity/Lab

Author: Illustrative Mathematics

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