In this video segment from Cyberchase, Digit and the CyberSquad learn that ...

In this video segment from Cyberchase, Digit and the CyberSquad learn that equations are balanced when the same number is on each side. ***Access to Teacher's Domain content now requires free login to PBS Learning Media.

In this video from Cyberchase, the CyberSquad searches for a kidnapper using ...

In this video from Cyberchase, the CyberSquad searches for a kidnapper using their only clues: a footprint and a handprint. ***Access to Teacher's Domain content now requires free login to PBS Learning Media.

The first of these word problems is a multiplication problem involving equal-sized ...

The first of these word problems is a multiplication problem involving equal-sized groups. The next two reflect the two related division problems, namely, "How many groups?" and "How many in each group?"

Students create patterns using pattern blocks. Then they pose a question to ...

Students create patterns using pattern blocks. Then they pose a question to their peers like, öWhat fraction of my shape is red? Students describe their answers geometrically, verbally, and in writing.

This is a task from the Illustrative Mathematics website that is one ...

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: One day, Frog and Toad were sitting together on a lily pad. Some lily pads were in a line across the pond. In the morning, Frog hopped three lily pads ...

This is a task from the Illustrative Mathematics website that is one ...

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 aspects of the task and its potential use.

In this activity, students explore the effect of chemical erosion on statues ...

In this activity, students explore the effect of chemical erosion on statues and monuments. They use chalk to see what happens when limestone is placed in liquids with different pH values. They also learn several things that engineers are doing to reduce the effects of acid rain.

When students plot irrational numbers on the number line, it helps reinforce ...

When students plot irrational numbers on the number line, it helps reinforce the idea that they fit into a number system that includes the more familiar integer and rational numbers.

Students work in pairs to measure length by lining up cubes along ...

Students work in pairs to measure length by lining up cubes along the longest side of an item. They count and record length by counting the number of cubes.

Students find the volume and surface area of a rectangular box (e.g., ...

Students find the volume and surface area of a rectangular box (e.g., a cereal box), and then figure out how to convert that box into a new, cubical box having the same volume as the original. As they construct the new, cube-shaped box from the original box material, students discover that the cubical box has less surface area than the original, and thus, a cube is a more efficient way to package things. Students then consider why consumer goods generally aren't packaged in cube-shaped boxes, even though they would require less material to produce and ultimately, less waste to discard. To display their findings, each student designs and constructs a mobile that contains a duplicate of his or her original box, the new cube-shaped box of the same volume, the scraps that are left over from the original box, and pertinent calculations of the volumes and surface areas involved. The activities involved provide valuable experience in problem solving with spatial-visual relationships.

In this Cyberchase video segment, the CyberSquad calculates the speed of each ...

In this Cyberchase video segment, the CyberSquad calculates the speed of each broom. ***Access to Teacher's Domain content now requires free login to PBS Learning Media.

Students construct rockets from balloons propelled along a guide string. They use ...

Students construct rockets from balloons propelled along a guide string. They use this model to learn about Newton's three laws of motion, examining the effect of different forces on the motion of the rocket.

This is a task from the Illustrative Mathematics website that is one ...

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 * Class white board and one marker * Paper and pencil for students * Materials such as counters or linker cubes * Number lines that go from 0...

In this number line task students must treat the interval from 0 ...

In this number line task students must treat the interval from 0 to 1 as a whole, partition the whole into the appropriate number of equal sized parts, and then locate the fraction(s).

This is a task from the Illustrative Mathematics website that is one ...

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 aspects of the task and its potential use.

This task asks students to solve addition and subtraction equations with different ...

This task asks students to solve addition and subtraction equations with different structures so that they are able to see the connections between addition and subtraction more easily.

This task lets students explore the differences between linear and non-linear functions. ...

This task lets students explore the differences between linear and non-linear functions. By contrasting the two, it reinforces properties of linear functions. The task lends itself to an extended discussion comparing the differences that students have found and relating them back to the equation and the graph of the two functions.

One common mistake students make when dividing fractions using visuals is the ...

One common mistake students make when dividing fractions using visuals is the confusion between remainder and the fractional part of a mixed number answer.

This task is meant to address a common error that students make, ...

This task is meant to address a common error that students make, namely, that they represent fractions with different wholes when they need to compare them. This task is meant to generate classroom discussion related to comparing fractions. Particularly important is that students understand that when you compare fractions, you implicitly always have the same whole.

This is a task from the Illustrative Mathematics website that is one ...

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 aspects of the task and its potential use.

Harry and his friend make a wager on a game of chess ...

Harry and his friend make a wager on a game of chess in this video segment from Cyberchase. ***Access to Teacher's Domain content now requires free login to PBS Learning Media.

In this Cyberchase video segment, Bianca volunteers to take over an important ...

In this Cyberchase video segment, Bianca volunteers to take over an important job at a copy shop. She must make a life-size copy of a photo of the King of Sloovoonia. ***Access to Teacher's Domain content now requires free login to PBS Learning Media.

Students will record the temperature daily, using a bar graph, color coded ...

Students will record the temperature daily, using a bar graph, color coded bars. this monthly bar graph helps students understand phenology and interpreting graphs.

The goal of this task is to look for structure and identify ...

The goal of this task is to look for structure and identify patterns and then try to find the mathematical explanation for this. This problem examines the ''checkerboard'' pattern of even and odd numbers in a single digit multiplication table.

This is a task from the Illustrative Mathematics website that is one ...

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 aspects of the task and its potential use.

In this Cyberchase video segment, the CyberSquad must measure the length of ...

In this Cyberchase video segment, the CyberSquad must measure the length of the rope that will lower Digit from the ceiling to remove the voice box from a statue of Hacker.

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