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: Margie bought 3 apples that cost 50 cents each. She paid with a five-dollar bill. How much change did Margie receive?...

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: Mr. Liu asked the students in his fourth grade class to measure their heights. Here are some of the heights they recorded: StudentHeight Sarah 50 inche...

Poster showing the United States Capitol; includes large blank space for message. Title from item.

Next let's build a blade of grass using a parabolic arc as a spine.

This article deals with available tools that offer solutions and could help you become more efficient and productive. 

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: Maned wolves are a threatened species that live in South America. People estimate that there are about 24,000 of them living in the wild. The dhole is ...

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: Historians estimate that there were about 7 million people on the earth in 4,000 BCE. Now there are about 7 billion! We write 7 million as 7,000,000. W...

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...

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...

This resource will enable students to determine flawed reasoning when generating equivalent fractions using multiplication.

This resource will enable students to determine flawed reasoning in a fraction comparison with unlike numerators and denominators.

Revolutionary history recipe word problems involving multiplication of a fraction by a whole number, e.g., by using visual fraction models and equations to represent the problem.

This resource provides students with the opportunity to base arithmetic explanations/reasoning on concrete referents such as diagrams, connecting diagrams to a written method. Students will express a fraction with a denominator 10 as an equivalent fraction with a denominator of 100 and use that information to solve a problem.

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...

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...

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.