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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....
Lesson Plan
Illustrative Mathematics

Explaining Fraction Equivalence with Picture

For Teachers 3rd - 5th Standards
Visual models are a great tool for demonstrating the concept of equivalent fractions. Given two pictures, young mathematicians first identify each fraction and then write an explanation for why they are equivalent. Use as a guided...
Lesson Plan
Teachers' Domain

Introducing Non-Unit Fractions and Equivalents

For Teachers 3rd - 5th Standards
Two Cyberchase videos inspire elementary mathematicians to understand fractions. Worksheets are provided to walk viewers through the concepts taught in the videos. You can't go wrong when using educational cartoons such as these! They...
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Illustrative Mathematics

Equivalent fractions approach to non-repeating decimals

For Teachers 6th - 8th Standards
Trying to get your class to think of decimals as fractions and vice versa can lead to interesting discussions. After all, we can usually understand quickly that 1/4 is .25 but why is 1/7 not so easy to convert? This activity looks...
Lesson Plan
Rational Number Project

Initial Fraction Ideas Lesson 9 Overview

For Teachers 3rd - 6th Standards
Visual models support young mathematicians with exploring equivalent fractions. Starting with a quick warm-up problem, children go on to work through a series of guiding practice problems before working with a partner identifying and...
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Curated OER

Halves, Thirds, and Sixths

For Teachers 2nd - 4th Standards
An excellent activity that effectively pulls together the concepts of area, fractions, and equivalent fractions! Using 3x2 rectangular arrays, 3rd graders are introduced to the concept of area in terms of square units. Building on this...
Lesson Plan
Curated OER

Cookie Dough Equivalence

For Teachers 4th
There's nothing better than using a cooking instructional activity to teach about fractions! In this clever instructional activity, young chefs must determine the proper amounts of ingredients while using a standard measuring cup. The...
Lesson Plan
Curated OER

Cookie Dough Equivalence

For Teachers 4th
Who doesn't love cookies? For this lesson, learners follow a recipe to make cookies, practicing their ability to compare fractions as they go. This is a wonderful way to motivate your class to practice this important skill.
Lesson Plan
Rational Number Project

Rational Number Project: Initial Fraction Ideas

For Teachers 3rd - 6th Standards
Deepen the fractional number sense of young learners with this introductory activity on equivalent fractions. After completing a short warm-up activity, children go on to work in pairs using fraction circles to complete a table of...
Lesson Plan
EngageNY

Decimal Expansions of Fractions, Part 2

For Students 8th Standards
Develop your pupils' understanding of fractions and their decimal equivalence using the 12th lesson in this series. Scholars learn an alternative to long division that results in converting fractions to decimals that emphasize fractional...
Lesson Plan
Rational Number Project

Initial Fraction Ideas Lesson 18: Overview

For Teachers 3rd - 6th Standards
Develop young mathematicians' ability to compare fractions with investigation into the number 1/2. After brainstorming a list of fractions equivalent to 1/2, children identify a pattern in the numerators and...
Lesson Plan
Lakeshore Learning

Comparing and Ordering Fractions

For Teachers 3rd - 5th Standards
Math can be satisfying for the mind and the stomach! Incorporate slices of pizza into your fractions lesson with a set of informative resources. After a brief guided lesson on comparing and ordering fractions, young mathematicians...
Lesson Plan
Illustrative Mathematics

Dimes and Pennies

For Teachers 3rd - 5th Standards
Help your fourth graders make cents out of fractions and decimals with this short word problem. After learning that dimes are one-tenth and pennies one-hundredth of a dollar, students write a fraction and decimal for a given number...
Lesson Plan
Center for Applied Linguistics

Practical Applications of Fractions, Percents, and Decimals

For Teachers 5th Standards
Young architects are prompted to design a playground in assigned groups. Using a 10 x 10 grid. Your fifth graders will apply their knowledge of fractions, percents, and decimals to the real-world task of designing a playground....
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,...
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Illustrative Mathematics

Representing Half of a Circle

For Teachers 2nd - 4th Standards
Geometric shapes make great visual models for introducing young mathematicians to the concept of fractions. Looking at a series of four circles, learners are asked to determine whether or not one half of each circle is shaded. To support...
Lesson Plan
Curated OER

Initial Fraction Ideas Lesson 10: Overview

For Teachers 3rd - 4th
Third graders use strips of paper to find equivalent fractions. They will fold paper into thirds and shade 2/3 of the paper. Then fold the same paper in six parts and predict how many parts will be shaded. They will repeat again folding...
Lesson Plan
Curated OER

Proper Measuring Techniques with Correct Equipment

For Teachers 7th - 8th
There is no better way to contextualize fractions than in a real-life situation. Learners demonstrate their ability to convert, measure, and determine fractional equivalents as they pertain to both liquid and dry measurements, as needed...
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Curated OER

Checking Equivalence

For Teachers 9th - 12th Standards
Students solve equations. In this calculus lesson, students compare equations and identify equivalencies. They compare and approximate fractions and decimals.
Lesson Plan
Curated OER

Graphing Equivalent Fractions

For Teachers 9th - 11th
Students graph families of equivalent fractions and compare them by observing the slope of the line formed by each fraction family. They place fractions in ascending order by comparing the slopes of each line after several families of...
Lesson Plan
Education Closet

Equal Rhythms

For Teachers 3rd - 5th Standards
Engage young mathematicians in learning about fractions with this cross-curricular math and music lesson. After listening to and repeating different beat patterns, children realize that musical notes are just another way of representing...
Lesson Plan
Curated OER

Fractions: Pie

For Teachers 3rd - 5th
Learners use a pie (circle) to study fractions. They create their own fraction problems and demonstrate to their classmates how to solve the problems. They discuss ways they use fractions in their daily lives.
Lesson Plan
Curated OER

Fraction Equivalence

For Teachers 4th
Fourth graders explore fractions. They compare different fractions using fraction bars. Students find equivalent fractions and they use fraction bars to visualize addition of fractions.
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Curated OER

Fractions, Decimals to Percents

For Teachers 7th
Seventh graders convert fractions and decimals to percents. Using measuring cups, 7th graders model fraction/percent equivalents. They discuss how to change a decimal to a percent. Using the white boards, students review the different...

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