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Illustrative Mathematics
Using Benchmarks to Compare Fractions
Introduce a new strategy for comparing fractions by analyzing Melissa's use of benchmarks. Walk the class through her process, calling on students to explain their understanding of each step she took. Then practice this method on two...
Rational Number Project
Initial Fraction Ideas Lesson 18: Overview
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...
Illustrative Mathematics
Comparing Two Different Pizzas
What better way to learn about fractions than with a couple pizzas? Help Jessica figure out how much of the pizza she has eaten, while teaching your class that fractions refer to a specific whole amount. This problem will be challenging...
Illustrative Mathematics
Representing Half of a Circle
Geometric shapes make great visual models for introducing young mathematicians to the concept of fractions. Looking at a series of four circles, students are asked to determine whether or not one half of each circle is shaded. To support...
Rational Number Project
Initial Fraction Ideas Lesson 22: Overview
Have young mathematicians subtracting fractions in no time with this manipulative-based math lesson. Using their sets of fraction circles, students explore a number of word problems involving the subtraction of fractions before working...
Willow Tree
Fractions
There’s a fine line between a numerator and a denominator. Learners review operations with fractions and ensure they have the skills needed to progress in the course. Taking the time now to review these concepts allows individuals to...
Illustrative Mathematics
Explaining Fraction Equivalence with Picture
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...
Illustrative Mathematics
Money in the Piggy Bank
It's time to crack open that piggy bank and see what's inside. First, count up the pennies, nickels, dimes, and quarters, identifying what fraction of them are dimes. Then calculate the total value of the coins, writing another fraction...
Education Development Center
Logic of Fractions
Before diving into operations with fractions, learners discover the foundation of fractions and how they interact with one another. Exactly as the title says, logic of fractions is the main goal of a resource that shows pupils how...
Curated OER
Exploring Equivalent Fractions
An extensive lesson explores equivalent fractions and is intended for three 60-minute periods. Young mathematicians compare and order fractions with like and unlike denominators. Included are worksheets, assessments, and answer sheets;...
Curated OER
Jon and Charlie's Run
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,...
EngageNY
Comparing Rational Expressions
Introduce a new type of function through discovery. Math learners build an understanding of rational expressions by creating tables and graphing the result.
Curated OER
Fractions in Action
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.
Curated OER
Addition and Subtraction of Fractions
Students demonstrate how to solve addition and subtraction of fractions. In this fractions lesson, students use folded paper to shade in fractional parts and identify the sum of the parts shaded.
Rational Number Project
Rational Number Project: Initial Fraction Ideas
Deepen the fractional number sense of young learners with this introductory lesson 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...
EngageNY
Interpreting Division of a Whole Number by a Fraction—Visual Models
Connect division with multiplication through the use of models. Groups solve problems involving the division of a whole number by a fraction using models. The groups share their methods along with the corresponding division and...
EngageNY
Comparing Integers and Other Rational Numbers
The ninth installment of a 21-part module has pupils compare integers and rational numbers in decimal and fraction form. They match stories to number lines and compare values in the stories.
University of Arkansas
Twizzling Fractions
Using food as a manipulative is one of the best ways to incorporate hands-on learning in the classroom. This hands-on approach allows young mathematicians to compare, order, and identify fractions with the use of Twizzlers® and...
Curated OER
Division by Fractions (Part One)
Learners demonstrate array models to illustrate division as sharing and grouping. They demonstrate the array models to compare division as sharing with division as grouping. Pupils explore division problems are typically seen as either...
Curated OER
All Kinds of Numbers
Count and compare numbers and fractions using "greater than" and "less than." Learners count on by 2s and 10s and represent the end number with base ten blocks, counters, and cups. They use circle stickers to illustrate fractions and...
Curated OER
Division by Fractions (Part Two)
Investigate division through the use of array models. The lesson focuses on using area models to compare division as sharing with division as grouping. Students evaluate the usefulness and limitations of the two array models.
Curated OER
The True Value of Sweets
Measure your pupil's learning in a lesson designed to explore decimals by weighing different candies on a scale and recording the weight. Small groups then compare and order the decimal weights on a number line to show their...
Virginia Department of Education
Ordering Fractions, Decimals, and Percents
Order up a resource on comparing rational numbers. Scholars order fractions, decimals, and percents by converting to a single form. They conduct a cut-and-paste activity ordering three sets of rational numbers.
National Math + Science Initative
Introduction to Decimals
Three activities make up an introductory lesson designed to create a strong foundation in comparing fractions to decimals and exploring and building decimal models. Pupils brainstorm and complete a Venn diagram to show how decimals and...