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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, learners first identify the shaded fraction, and then explain whether the fraction is equal to one-fourth....
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...
Lesson Plan
NTTI

Hey Good Lookin', Whatchya Got Cookin'?

For Teachers 5th - 7th Standards
What better way to explore working with fractions then by using them when cooking? For this lesson, students use video, the Internet, and real world, hands-on learning activities to enhance their understanding of multiplying and dividing...
Lesson Plan
Curated OER

Multiplying Fractions

For Teachers 9th - 10th
Students solve fractions using multiplication. In this algebra lesson, students solve fractions by multiplying top with top and bottom with bottom. They practice multiplying fractions with improper fractions or mixed...
Lesson Plan
Mathematics Assessment Project

Translating Between Repeating Decimals and Fractions

For Teachers 8th Standards
Model for your young mathematicians the process for converting repeating decimals to fractions. To demonstrate their understanding of the process, class members then complete and assessment task and participate in an activity matching...
Lesson Plan
Curated OER

Multiplying Fractions and Mixed Numbers

For Teachers 9th - 10th
Students solve fractions using multiplication. In this algebra lesson, students solve fractions by multiplying top with top and bottom with bottom. They practice multiplying fractions with improper fractions or mixed...
Lesson Plan
Curated OER

Fantastic Fraction Fudge

For Teachers 4th - 6th
In order to create some tasty fudge, learners must adapt a recipe. Using a recipe for fudge, ingredients must be correctly converted using fractions. If one fraction is incorrect, the fudge will reveal it! Although you will only make one...
Lesson Plan
Curated OER

Multiplying Fractions

For Teachers 9th - 10th
Students solve fractions by multiplication. For this algebra lesson, students factor fractions by multiplying numerator with numerator and denominator with denominator. They simplify improper fractions.
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....
Lesson Plan
EngageNY

Converting Repeating Decimals to Fractions

For Students 8th Standards
Develop a process with your classes for converting repeating decimals to fractions. Through this process, pupils understand that any repeating decimal can be written as a fraction. The 10th lesson in this 25-part module helps...
Lesson Plan
Curated OER

Representing Fractions, Decimals, and Percents

For Teachers 5th - 7th
In this fractions, decimals, and percents lessons, students explore various methods of representing fractions. They demonstrate situations that represent rational numbers. Students create a foldable exploring fractions, decimals and...
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EngageNY

Multiplying and Dividing Rational Expressions

For Students 10th - 12th Standards
Five out of four people have trouble with fractions! After comparing simplifying fractions to simplifying rational expressions, pupils use the same principles to multiply and divide rational expressions. 
Lesson Plan
Illustrative Mathematics

Making Cookies

For Teachers 5th - 7th Standards
Hooray for chocolate chip cookies! Ask your mathematicians to triple a chocolate chip cookie recipe and then reduce the recipe by one-fourth. Your class may need two days to complete, tripling the recipe the first day and reducing the...
Activity
Education Development Center

Word Problem with Rational Numbers—Balancing Bars of Soap

For Teachers 4th - 5th Standards
Here's a resource teachers won't want to wash their hands of. Given a task where a full bar of soap is on one side of a balance and 3/4 of a bar of soup and a 3/4-ounce weight is on the other side, young mathematicians must determine the...
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...
Lesson Plan
Curated OER

Fractions

For Teachers 10th - 11th
Learners solve problems with fractions without using a calculator. In this algebra lesson, students practice reducing, converting, adding, subtracting and multiplying fractions. They apply the use of fractions to the real world.
Lesson Plan
Curated OER

Multiplying Decimals and Mixed Numbers

For Teachers 6th - 8th
Students multiply decimals and/or mixed numbers. They explore the effects of multiplying decimals and mixed numbers. They practice estimating answers when a number is multiplied by a decimal or mixed number.
Lesson Plan
Curated OER

New: Fun with Fractions

For Teachers 3rd
Third graders determine that the larger the denominator the more parts the whole is being divided into. They use fractions to communicate and compare parts of the whole. They discover what the numerator and denominator of a fraction...
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...
Activity
Curated OER

Drinking Juice

For Teachers 5th Standards
Pictures, number lines, decimal equivalents, or Cuisenaire rods can be used to show insight into the meaning of multiplying fractions.Here, Alisa drinks 3/4 of 1/2 liter of juice. To find the total volume of the juice that Alisa...
Activity
Curated OER

Folding strips of paper

For Teachers 5th Standards
Fifth graders need concrete experiences to introduce a unit on multiplying fractions by fractions. A strip of paper is used to create a number line and represent 5/6. It is folded first in half, and then in quarters. After unfolding,...
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 activity can give insight into the understanding of the...
Lesson Plan
Curated OER

Dividing Fractions

For Teachers 9th - 10th
Young scholars solve fractions using division. In this algebra lesson plan, students solve fractions by flipping and multiplying by the reciprocal. They practice dividing fractions with different denominators and simplifying.    
Lesson Plan
Curated OER

Dividing Fractions

For Teachers 9th - 10th
Learners solve fractions using division. In this algebra lesson, students solve fractions by flipping and multiplying by the reciprocal. They practice dividing fractions with different denominators and simplifying.

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