Lesson Plan
Illustrative Mathematics

Interpreting a Division Computation

For Teachers 5th - 7th Standards
Mathematicians show their understanding of a division problem. If a student can apply long division to a pair of numbers and determine a quotient, what other factors and multiples become apparent? The example illustrates a simple...
Lesson Plan
Illustrative Mathematics

Two Interpretations of Division

For Teachers 3rd - 4th Standards
Division can be seen in two ways; as splitting a whole into a certain number of pieces, or splitting it into pieces of a certain size. Help your class reach this understanding with these two simple word problems. Encourage the use of...
Lesson Plan
Illustrative Mathematics

Dividing by One-Half

For Teachers 4th - 6th Standards
Understanding when to divide by two or one-half can be confusing. Here is an activity that gives four different scenarios. It is up to your number crunchers to decide if they divide by two or one-half. The easiest way to approach the...
Lesson Plan
Illustrative Mathematics

Traffic Jam

For Teachers 6th - 7th Standards
Help your learners understand dividing with fractions by using these methods to solve. Chose from two different number lines or linker cubes.  This practices "how many groups?" style division problems which help them comprehend why...
Lesson Plan
Illustrative Mathematics

Dan’s Division Strategy

For Teachers 5th - 7th Standards
Can Dan make a conjecture about dividing fractions with the same denominators? That is what your scholars are to determine. They must show that if the statement is true, they understand how the quantities were determined, and how...
Lesson Plan
Illustrative Mathematics

Video Game Credits

For Teachers 6th - 7th Standards
Help your learners understand how to divide fractions with this visual activity. They first answer a simple inequality before dividing the fractions. Two solution choices are given to help your mathematicians understand how to solve "how...
Lesson Plan
Illustrative Mathematics

Making Hot Cocoa, Variation 2

For Teachers 6th - 7th Standards
Learners are introduced to dividing by fractions in a visual way. Setting up groups from the information in the problem allows them to see what we divide and why. Use with the previous lesson plan, which can be found in Additional...
Lesson Plan
Illustrative Mathematics

Making Hot Cocoa, Variation 1

For Teachers 6th - 7th Standards
Dividing with fractions can be a confusing task to some, but the activity illustrates how to make groups out of the problem and look at it visually. Use this problem with the lesson in the Additional Materials section to practice this...
Lesson Plan
Illustrative Mathematics

Running to School, Variation 2

For Teachers 5th - 7th Standards
Rose's commute to school is a fractional distance. After she runs part of the way, your class needs to determine what fractional distance she ran. This problem explores fraction operations through modeling and computation. The...
Lesson Plan
Illustrative Mathematics

Reasoning about Multiplication and Division and Place Value, Part 1

For Teachers 5th - 7th Standards
Help your class make sense of quantities and their relationships. Given is the product of two numbers. It is up to your number crunchers to think about the quantitative relationship when the product is one-tenth or ten times the product...
Activity
West Contra Costa Unified School District

Division (No Remainders)

For Teachers 4th - 7th Standards
Help young mathematicians build a solid understanding of division with this base ten block activity. With the help of these popular math manipulatives, children model different math problems in order to reinforce the...
Lesson Plan
Illustrative Mathematics

Cup of Rice

For Teachers 6th - 7th Standards
Dividing with fractions is not a favorite task, so provide your learners with a visual understanding. The activity breaks a simple division problem into something they can comprehend. Use this method for future problems with...
Activity
Baylor College

Air: The Math Link

For Teachers 1st - 3rd Standards
Inflate this unit on the science of air with these math skills practice and word problems. Accompanying the children's story Mr. Slaptail's Secret, this resource covers a wide range of math topics including the four basic...
Lesson Plan
Illustrative Mathematics

Running to School, Variation 3

For Teachers 5th - 7th Standards
How far is it between school and home? Here is a relatable activity where the participant runs to school a certain fraction of the way. That distance is given in miles. It is up to your learners to determine the distance between home and...
Lesson Plan
Illustrative Mathematics

Drinking Juice, Variation 2

For Teachers 5th - 7th Standards
An excellent activity using word problems where pupils interpret and compute quotients of fractions. The commentary includes using a fraction bar model and equations to represent the problem. In this variation of the resource, the...
Lesson Plan
Illustrative Mathematics

Drinking Juice, Variation 3

For Teachers 5th - 7th Standards
It is up to the learner to find the amount of juice originally in a bottle, knowing what fraction of the juice is left, and the amount that has been consumed. The accompanying commentary provides a useful and detailed description of...
Lesson Plan
Illustrative Mathematics

How Many Marbles?

For Teachers 4th - 6th Standards
Don't lose your marbles! This simple story problem helps make teaching division with fractions much easier. Work on this problem along with the lesson titled, How Many Servings of Oatmeal? to highlight the difference between...
Lesson Plan
Illustrative Mathematics

Baking Cookies

For Teachers 5th - 7th Standards
You can never have enough cookies, but do you have enough ingredients? This activity allows your bakers to discover how many batches of cookies they can make with the ingredients provided. Also useable as an independent assignment, your...
Lesson Plan
Curated OER

Jon and Charlie's Run

For Teachers 3rd - 5th Standards
Let's use math to solve an argument. Jon and Charlie are debating about who can run farther, but who is right? That's what your class will figure out as they apply their understanding of fractions to this real-life situation. A simple,...
Lesson Plan
Illustrative Mathematics

Banana Pudding

For Teachers 4th - 6th Standards
Making banana pudding despite misplacing your one-cup measuring cup is easy as long as you can find your quarter-cup measuring cup! This real-life activity provides a good opportunity for learners to interpret division of a whole...
Lesson Plan
Illustrative Mathematics

How Many Containers in One Cup / Cups in One Container?

For Teachers 5th - 7th Standards
The object is to model fraction division by asking “How many are in one group?” It is a difficult concept to understand, but developing the model that shows one cup to a certain amount of container or one container to a certain amount of...
Lesson Plan
Illustrative Mathematics

Friends Meeting on Bikes

For Teachers 6th - 8th Standards
It is the job of your mathematicians to figure out how fast Anya is riding her bike when meeting her friend. The problem shares the distance, time spent riding, and Taylor's speed leaving the last variable for your learners to solve. Use...
Lesson Plan
Illustrative Mathematics

How Many _______ Are In. . . ?

For Teachers 5th - 7th Standards
Help your learners gain meaningful understanding of dividing fractions using fraction models. The activity includes nine problems which are sequenced to show how the fraction division algorithm evolves. Have learners use graph paper or...
Lesson Plan
Illustrative Mathematics

How Many Servings of Oatmeal?

For Teachers 4th - 6th Standards
Here is another way to illustrate division of a whole number by a unit fraction. In this case, the problem is asking if there are so many servings per cup, how many servings are in a package of multiple cups. Learners are to model their...

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