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 * Alexander, Who Used to be Rich Last Sunday by Judith Viorst * Plastic coins * Labels for items Alexander spent his money on (attached) * Pa...

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 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 * How Big is a Foot? by Rolf Myller * Masking tape * Enough 12-inch (one foot) rulers for every student or pair of students * One yardstick *...

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 * Sets of 3-6 "analog clock cards," enough for each student * Sets of 3-6 "digital clock cards," enough for each student * Paper and pencil A...

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: Amy went to the arcade. At the arcade, people can buy tokens to use for the games. Amy paid \$5 to get some tokens. Show two different ways she could h...

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: 127 is a number. Write it as a sum of 100's, 10's, and 1's. Write its name in words. Draw a picture to represent the number. Locate it on the number li...

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 For each student: * A large index card * A pencil Action Part 1 The teacher will put up the following addition problem: \begin{align} 24 &\ \...

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: Plot the following numbers on the number line. 456 \ \ 983\ \ 938 \ \ 425 \ \ 220 \ \ 202\ \ 799 Choose eight pairs of numbers from those you plotted o...

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 * Whiteboard or chart paper and markers * Empty number line or magnetic cubes lined up on the whiteboard, alternating colors every 5 (see sol...

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 * Number cards labeled 1-10 (attached as a PDF) Actions * Begin by playing the game as a whole class to demonstrate the rules and for student...

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: Louis wants to give \$15 to help kids who need school supplies. He also wants to buy a pair of shoes for \$39. How much money will he have to save for ...

First we'll review De Casteljau's algorithm using three points. Then it's your turn to figure out how to do it with 4 points!

Let's review the multiplication principle which allows us to quickly count the number of possible robots.

Now we can combine split and average into a single operation called subdivide.