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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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Lesson Plan
PBS

Add, Subtract and Multiply Fractions

For Teachers 4th - 6th Standards
Your future chefs will appreciate this comprehensive lesson where learners practice operations on fractions using pizza and soup analogies. Learners begin with a pizza analogy that requires the learners to multiply a whole number by a...
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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
Curated OER

Fractions in Action

For Teachers 4th - 6th
Investigate equivalent fractions with your class. They compare and order fractions. Then they work cooperatively in groups to experiment and problem solve with fractions using a game format. Multiple resources are provided.
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Handout
Nuffield Foundation

Fractions, Decimals and Percentages

For Students 4th - 6th Standards
Mathematicians can embark on a math challenge. Fourteen pages of exercises for young algebra learners on fractions, decimals, and percentages let your students put their skills to the test.  
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Lesson Plan
K20 LEARN

Baking Cupcakes!: Fractions

For Teachers 4th - 5th Standards
Following an engaging video, mathematicians solve a word problem about baking cupcakes using fractions. Scholars practice different problem-solving strategies, then find different ingredient amounts for their recipes. Pupils solve a...
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Workbook
MLC

Fractions Packet

For Students 5th - 6th Standards
Your fifth graders will appreciate the simple, direct explanations, examples, and practice exercises in this well-organized unit on fractions. Beginning with an introduction to fractions, the packet flows smoothly through the fraction...
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Lesson Plan
West Contra Costa Unified School District

Simplifying Fractions Activity

For Teachers 6th Standards
Warm-up pupils' fraction muscles with a four-question quiz, then delve into a learning game designed to reinforce the concept of simplifying fractions. Based on the "I do, We do, You do" method of teaching, the lesson directly exhibits...
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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...
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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...
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Lesson Plan
EngageNY

The Division Algorithm—Converting Decimal Division into Whole Number Division Using Fractions

For Students 6th Standards
Knowing the standard algorithm opens up a whole new world of division. Scholars learn how to convert division involving decimals to division involving whole numbers to use the standard algorithm. Knowing how to multiply with powers of...
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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 students use graph paper or...
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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 drank,...
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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,...
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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
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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Lesson Plan
EngageNY

Interpreting and Computing Division of a Fraction by a Fraction—More Models II

For Teachers 6th Standards
No more inverting and multiplying to divide fractions. Applying concepts of measurement division from the previous lesson, pupils consider partitive division using fraction bars and number lines. They first convert fractions to like...
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Lesson Plan
EngageNY

Grade 5 Math Module 1, Topic E, Lesson 12

For Teachers 5th Standards
Continuing from the previous instructional activity, scholars work on mastering the skill of multiplying decimal fractions by a whole number. The method employed in the instructional activity is to convert the decimal fraction to its...
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Lesson Plan
Illustrative Mathematics

Converting Decimal Representations of Rational Numbers to Fraction Representations

For Teachers 7th - 9th Standards
A rational number is a ratio of two integers. Discuss with your class how to convert the rational numbers of repeating decimals to fractions. A good commentary on letting x equal the repeating decimal and multiplying each side of such...
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Activity
Illustrative Mathematics

Painting a Wall

For Teachers 4th - 6th Standards
Red and yellow do not make orange in this activity, but they do create a real-life, multiplication of fractions word problem. As either a lead-in or an assessment, math masters display their understanding of 1/2 x 5/6 when a wall needs...
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Lesson Plan
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Illustrative Mathematics

Equivalent Expressions?

For Teachers 7th - 8th Standards
Pre-algebra pupils need to understand that two expressions are only equal if they have the same value. Show them that once the expression is multiplied by a number, the value of the expression changes. It makes for a good lead-in to...
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Lesson Plan
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Laboratory for Atmospheric and Space Physics

Where Are We Going?

For Teachers 2nd - 6th Standards
Come take a ride on the space bus! Scholars go on an imaginary trip to pick up their peers from the inner and outer planets while reinforcing math skills. First, learners round decimals to identify each planets' distance from Earth....
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Lesson Plan
Curated OER

Discovering Math Rational Number Concepts

For Teachers 10th - 11th
Students research Egyptian hieroglyphics using print and Web resources. THey discuss Egyptian achievements in mathematics. Students explore how Egyptians used hieroglyphics to write numerals. They multiply and divide numbers using the...
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Activity
Illustrative Mathematics

Comparing Products

For Teachers 5th Standards
How can 5th graders show understanding that 30 x 225 is half of 60 x 225 without completing the computation? They can use an area model and draw it out. An array, or an open array, is an area model that allows for young learners to...

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