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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 number...
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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...
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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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Activity
Illustrative Mathematics

Origami Stars

For Teachers 4th - 6th Standards
This one problem concentrates on the important concept of dividing a whole number by a unit fraction. Here, young mathematicians use pictures they draw to help answer this problem. Insight into the connection between multiplication and...
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Lesson Plan
Illustrative Mathematics

Half of a Recipe

For Teachers 4th - 6th Standards
Kids love to cook! What is a better place to learn mixed numbers than with a recipe? It is up to learners to decide how they want to divide this recipe in half. They may choose to model the mixed number and then divide the model by two....
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Lesson Plan
Illustrative Mathematics

Doubling Numerators and Denominators

For Teachers 3rd - 5th Standards
Understanding the meaning of fractions is a challenge for many young learners. These two questions examine what happens when the numerator and denominator of a fraction are doubled. Consider allowing students to discuss their ideas in...
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Lesson Plan
Illustrative Mathematics

Who is the Tallest?

For Teachers 3rd - 5th Standards
A simple question, with a not-so-simple answer. Working with whole and mixed number measurements in inches, feet, and yards presents a problem with many possible solutions. A great activity that challenges the minds of young...
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Activity
Illustrative Mathematics

To Multiply or not to multiply?

For Teachers 4th - 6th Standards
When do you multiply a fraction by a fraction? Here, fifth graders are given 10 different word problems and asked to decide if multiplying 2/5 x 1/8 is appropriate. Many times, real-world word problems sound similar although the required...
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Lesson Plan
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Curated OER

Patterns in the Multiplication Table

For Teachers 3rd - 4th Standards
Explore patterns in the multiplication table in order to deepen your third graders' understanding of this essential skill. Implement this activity as a whole-class lesson, allowing young scholars to work in pairs or small groups to...
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Activity
Curated OER

Comparing a Number and a Product

For Teachers 4th - 6th Standards
Mental math strategies are important for fifth graders to be able to determine the greater sum without actually solving the equations. As a summative assessment, this eight-problem worksheet can give insight into the understanding of the...
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Activity
Curated OER

Connor and Makayla Discuss Multiplication

For Teachers 5th Standards
The commutative property of multiplication applies not only to whole numbers but to fractions as well. Connor and Makayla explore and discuss the idea that 2/3 x 3 is the same as 3 x 2/3. Your 5th grade class will connect with learning...
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Lesson Plan
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Illustrative Mathematics

Margie Buys Apples

For Teachers 3rd - 5th Standards
One of the most common, everyday applications of math is dealing with money. This single problem calculating how much change Margie receives is more involved than it appears at first glance. An understanding of how fractions and decimals...
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Activity
Illustrative Mathematics

Grass Seedlings

For Teachers 4th - 6th Standards
Plants never grow at the same rate, and that is the antithesis for this word problem involving multiplication of fractions. On the learning exercise, Raul notices that Pablo's seedlings are 1 1/2 times as tall, and Celina's seedlings are...
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Activity
Illustrative Mathematics

How Much is a Penny Worth?

For Teachers 9th - 12th Standards
Are pennies really worth one cent? Here, learners use rates to calculate the price per pound of copper that would result in pennies that are exactly one cent's worth of copper. Might work best as a group or whole-class activity since the...
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Activity
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Illustrative Mathematics

Identifying Multiples

For Teachers 3rd - 5th Standards
Administer an activity that fosters a child's understanding of multiples. Young mathematicians are guided to complete three tasks on a multiplication chart. Once they color the boxes with multiples of two, three, and four, learners...
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Lesson Plan
Illustrative Mathematics

Gifts from Grandma, Variation 3

For Teachers 5th - 7th Standards
There are three money word problems in this activity, each one is set in the same context. The first asks what was the total amount grandma spent, the second how many grandchildren grandma has, and the third asks how much grandma spent...
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Lesson Plan
Illustrative Mathematics

Banana Bread

For Teachers 5th - 7th Standards
Show your future bakers how to choose the right baking pan by calculating the volume of a pan. The resource compares two pans, one with decimal edge lengths and is too small for the recipe and one that may work. Your number crunchers are...
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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, which can be found in Additional Materials,...
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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 plan in the Additional Materials section to practice...
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Lesson Plan
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Illustrative Mathematics

Fractions and Rectangles

For Teachers 3rd - 5th Standards
Visual models are excellent teaching tools when explaining equivalent fractions. Looking at a rectangle cut into twelfths, students first identify the shaded fraction, and then explain whether the fraction is equal to one-fourth....
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Activity
5280 Math

Pythagorean Triples

For Teachers 10th - 12th
From Pythagorean triples to the unit circle. Learners use the Pythagorean Theorem to find Pythagorean triples and then relate their work to the unit circle in a fun algebra project. Their discovery that x^2+y^2 is always equal to one on...
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Activity
Cru High School

Games / Icebreakers

For Teachers 6th - 12th
Twenty-three, fun-filled activities make up a list of icebreakers designed to familiarize class members with one another, and add a sense of community to the classroom. 
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Lesson Plan
Curated OER

Summer Intern

For Teachers 9th - 12th Standards
Your young apprentices build a function describing the percent concentration of salt in a brine. The rational function is then related to the parent function, y= 1/x, and graphed. Finally, the apprentices predict the amount of fresh...