8.NS Converting Repeating Decimals to Fractions

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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: Leanne makes the following observation: I know that \frac{1}{11} = 0.0909\ldots where the pattern 09 repeats forever. I also know that \frac{1}{9} = 0....

Material Type: Activity/Lab

Author: Illustrative Mathematics

8.G, G-CO Origami Silver Rectangle

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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: This task examines the mathematics behind an origami construction of a rectangle whose sides have the ratio $(\sqrt{2}:1)$. Such a rectangle is called ...

Material Type: Activity/Lab

Author: Illustrative Mathematics

6.G Polygons in the Coordinate Plane

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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 vertices of eight polygons are given below. For each polygon: * Plot the points in the coordinate plane connect the points in the order that they a...

Material Type: Activity/Lab

Author: Illustrative Mathematics

7.SP Stay or Switch?

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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: You are playing a video game. At the end of every level, there are three boxes. One contains 10,000 points, and the other two are empty. You are allowe...

Material Type: Activity/Lab

Author: Illustrative Mathematics

7.G Map distance

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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: On the map below, $\frac14$ inch represents one mile. Candler, Canton, and Oteen are three cities on the map. If the distance between the real towns of...

Material Type: Activity/Lab

Author: Illustrative Mathematics

6.SP.1 Identifying Statistical Questions

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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: Which of the following are statistical questions? (A statistical question is one that can be answered by collecting data and where there will be variab...

Material Type: Activity/Lab

Author: Illustrative Mathematics

7.EE Ticket to Ride

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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: Malia is at an amusement park. She bought 14 tickets, and each ride requires 2 tickets. Write an expression that gives the number of tickets Malia has ...

Material Type: Activity/Lab

Author: Illustrative Mathematics

8.G Circle Sandwich

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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: A square is inscribed in a circle which is inscribed in a square as shown below. Note that the vertices of the inner square meet the midpoints of the o...

Material Type: Activity/Lab

Author: Illustrative Mathematics

7.NS Differences and Distances

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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: Conner and Aaron are working on their homework together to find the distance between two numbers, $a$ and $b$, on a number line. Conner count the units...

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Author: Illustrative Mathematics

8.EE Orders of Magnitude

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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: It is said that the average person blinks about 1000 times an hour. This is an order-of-magnitude estimate, that is, it is an estimate given as a power...

Material Type: Activity/Lab

Author: Illustrative Mathematics

6.NS Distances between Points

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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: Some points are shown in the coordinate plane below. What is the distance between points B & C? What is the distance between points D & B? What is the ...

Material Type: Activity/Lab

Author: Illustrative Mathematics

8.EE Folding a Square into Thirds

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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: Suppose we take a square piece of paper and fold it in half vertically and diagonally, leaving the creases shown below: Next we make a fold that joins ...

Material Type: Activity/Lab

Author: Illustrative Mathematics

7.SP Red, Green, or Blue?

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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: This is a game for two people. You have three dice; one is red, one is green, and one is blue. These dice are different than regular six-sided dice, wh...

Material Type: Activity/Lab

Author: Illustrative Mathematics

7.G Stained Glass

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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 Mr. Rivera's art class are designing a stained-glass window to hang in the school entryway. The window will be 2 feet tall and 5 feet w...

Material Type: Activity/Lab

Author: Illustrative Mathematics

8.EE Slopes Between Points on a Line

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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 slope between two points is calculated by finding the change in $y$-values and dividing by the change in $x$-values. For example, the slope between...

Material Type: Activity/Lab

Author: Illustrative Mathematics

6.NS Setting Goals

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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: Seth wants to buy a new skateboard that costs \$167. He has \$88 in the bank. If he earns \$7.25 an hour pulling weeds, how many hours will Seth have t...

Material Type: Activity/Lab

Author: Illustrative Mathematics

8.EE Stuffing Envelopes

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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: Anna and Jason have summer jobs stuffing envelopes for two different companies. Anna earns \$14 for every 400 envelops she finishes. Jason earns \$9 fo...

Material Type: Activity/Lab

Author: Illustrative Mathematics

7.RP Dueling Candidates

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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: Joel and Marisa are running for president at their middle school (grades 6-8). After the votes are in, Joel and Marisa are each convinced that they hav...

Material Type: Activity/Lab

Author: Illustrative Mathematics

7.EE Who is the better batter?

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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: Below is a table showing the number of hits and the number of times at bat for two Major League Baseball players during two different seasons: SeasonDe...

Material Type: Activity/Lab

Author: Illustrative Mathematics

7.RP Thunder and Lightning

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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: Alyssa sees a lightning bolt in the sky and counts four seconds until she hears the thunder. There are 5280 feet in a mile and about 3.28 feet in a met...

Material Type: Activity/Lab

Author: Illustrative Mathematics