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4.NBT Rounding to the Nearest 1000
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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 tick marks on the number line are evenly spaced. Label them. Plot the following numbers on the number line: 85 940 2,316 5,090 7,784 Round each num...

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Illustrative Mathematics
4.NBT What's My Number?
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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 a number greater than 0 and less than 1,000 that: Is closer to 500 than 0, and Is closer to 200 than 500. There are many correct answers to this p...

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Illustrative Mathematics
4.NF Cynthia's Perfect Punch
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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: Cynthia is making her famous "Perfect Punch" for a party. After looking through the recipe, Cynthia knows that she needs to mix $4\frac58$ gallons of f...

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Illustrative Mathematics
4.NF Doubling Numerators and Denominators
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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: How does the value of a fraction change if you double its numerator? Explain your answer. How does the value of a fraction change if you double its den...

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Illustrative Mathematics
4.NF Fractions and Rectangles
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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: What fraction of the rectangle below is shaded? Laura says that $\frac14$ of the rectangle is shaded. Do you think she is correct? Explain why or why n...

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Illustrative Mathematics
4.OA Multiples of 3, 6, and 7
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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: Make a list of the first ten multiples of 3. Which of the numbers in your list are multiples of 6? What pattern do you see in where the multiples of 6 ...

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Illustrative Mathematics
4.OA Multiples of nine
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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: Stating with 9, list the first 10 multiples of 9. In the list in part (a) what patterns do you see with the digits in the 10's place? What patterns do ...

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Illustrative Mathematics
4.OA Numbers in a Multiplication Table
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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 table below shows all the products of pairs of numbers between 1 and 9. Which numbers appear only once in the table of products? Where are these nu...

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Illustrative Mathematics
4.OA The Locker Game
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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 20 students in Mr. Wolf's 4th grade class are playing a game in a hallway that is lined with 20 lockers in a row. The first student starts with the...

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Illustrative Mathematics
5.G Battle Ship Using Grid Paper
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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: Materials The students will need grid paper and colored pencils; some color for the ships and (for example) red for explosions on their ships and their...

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Illustrative Mathematics
5.G Meerkat Coordinate Plane Task
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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: Greetings from the Kalahari Desert in South Africa! In this activity, you will learn a lot about the Kalahari’s most playful residents: meerkats. The f...

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Illustrative Mathematics
5.G What is a Trapezoid? (Part 2)
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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: Niko and Carlos are studying parallelograms and trapezoids. They agree that a parallelogram is a quadrilateral with 2 pairs of parallel sides. Niko say...

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Illustrative Mathematics
5.MD Box of Clay
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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 box 2 centimeters high, 3 centimeters wide, and 5 centimeters long can hold 40 grams of clay. A second box has twice the height, three times the widt...

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Illustrative Mathematics
5.MD Cari's Aquarium
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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: Cari is the lead architect for the city’s new aquarium. All of the tanks in the aquarium will be rectangular prisms where the side lengths are whole nu...

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Illustrative Mathematics
5.MD Minutes and Days
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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: What time was it 2011 minutes after the beginning of January 1, 2011?...

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Illustrative Mathematics
5.MD,OA You Can Multiply Three Numbers in Any Order
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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: Make sure you have plenty of snap cubes. * Build a rectangular prism that is 2 cubes high, 3 cubes wide, and 5 cubes long. * We will say that the volum...

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Illustrative Mathematics
5.MD Using Volume to Understand the Associative Property of Multiplication
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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: Make sure you have plenty of snap cubes. Build a rectangular prism that is 2 cubes on one side, 3 cubes on another, and 5 cubes on the third side. We w...

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Illustrative Mathematics
5.NBT.1 Multiplying Decimals by 10
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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: Explain why $0.4\times10=4$. Explain why $3.4\times10=34$. Draw pictures to illustrate your explanations....

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Illustrative Mathematics
5.NBT Are these equivalent to 9.52?
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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: Isaiah is thinking of the number 9.52 in his head. Decide whether each of these has the same value as 9.52 and discuss your reasoning. 1. Nine and fift...

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Illustrative Mathematics
5.NBT Drawing Pictures to Illustrate Decimal Comparisons
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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: 1. Which is greater, 0.01 or 0.001? Explain. Draw a picture to illustrate your explanation. 2. Which is greater, 0.03 or 0.007? Explain. Draw a picture...

Author:
Illustrative Mathematics