This week we will examine the concept of a function, a fundamental concept underlying all of modern mathematics. You’re undoubtedly already familiar with functions in an intuitive sense: a function is something which, given
an input, produces an output. But you’ve probably never seen the formal definition of a function as it relates to set theory, which is what we’ll look at this week.

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 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 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: * Color the inside of all the triangles blue. * Color the inside of all the quadrilaterals red. * Color the inside of all the pentagons orange. * Color...

Next lets build a diagram that break rotation into smaller parts. The next exercise will give us a chance to build our understanding of this diagram.

Learn the importance of each and every job within the hive! This lesson includes learning objectives, material and resource lists, background information, activities, reading selections, writing assignments, a game, assessments, and support documents. See the Educator's Guide for more video links and recommended readings. 

Poster showing bust portraits of Edward N. Hurley, chairman of the Shipping Board, and General Pershing, each with a copy of a cablegram. The cablegrams, discussing the provision of almost 100 ships, are quoted at length beneath. Issued by Publications Section, United States Shipping Board Emergency Fleet Corporation, Philadelphia.

Our second set of videos explains how variable are defined and used in Java

Let's look more closely at how light behaves when it strikes an object. We'll cover diffuse and specular surface responses.

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...