Illustrative Mathematics
Listing Fractions in Increasing Size
Increase the depth of your class's fractional number sense with this number-ordering activity. Given four fractions, each with different numerators and denominators, young learners are asked to place them in order from smallest to...
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...
Education Development Center
Comparing Fractions
Three heads are better than one. After reading a conversation between three friends about how to compare fractions, scholars analyze and discuss each presented strategy. These include using unit fractions, using benchmark fractions,...
Curated OER
Comparing Fractions with a Different Whole
What was Bryce's mistake? Through analysis of a student work example, learners develop their own ability to compare the fractions one fourth and one half. Central to this activity is the concept that, when comparing fractions, the whole...
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...
CK-12 Foundation
Fraction Comparison with Lowest Common Denominators: Oranges and Blood Oranges
Comparing fractions is the focus of a five-question interactive in which mathematicians use oranges to answer real-world multiple-choice, true or false, and discussion questions.
Intensive Intervention
Fractions as Numbers
Your learners will enjoy thoroughly understanding fractions, and you will appreciate the abundant, quality resources in this comprehensive unit that builds toward a complete understanding of the concept of fractions as numbers. Many...
Illustrative Mathematics
Ordering Fractions
Here is a comparing and ordering fractions learning activity that extends young mathematicians understanding of fractions with like and non-like denominators. By representing and explaining each fraction in a picture or diagram, students...
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...
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
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...
Curated OER
Exploring Equivalent Fractions
An extensive lesson plan 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...
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
Understanding Fractions
Fourth graders compare fractions by using skittles and m&ms. In this math instructional activity, 4th graders explore the size of different fractions by cutting pieces of their pie for visual representation. Additionally, students...
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...
US Department of Commerce
Using Fractions to Compare Amusements Parks By States
Amuse learners with a lesson on amusement parks and fractions. Using provided census data on the number of amusement parks in each state, third graders represent the fraction of states that fall within a certain range. They create a...
Education Development Center
Adding Fractions with Unlike Denominators
If the fractions don't have a common denominator, make them have one. Learners first read and analyze a conversation of pupils trying to add 2/5 and 1/2. They compare the process of adding fractions to the process of adding quantities...
Curated OER
Comparing Fractions
Students discuss the nature of fractions and compare fractions based on a similar whole to determine relative size.
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
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.
CK-12 Foundation
Fraction and Mixed Number Comparison: Pumpkin Pie
Compare fraction models to fractions on a number line in an interactive that uses pumpkin pies as the model. Pupils look at pumpkin pie models to determine their improper fraction value. They use their knowledge to answer five questions...
New Mexico State University
Pearl Diver
Dive into the number line. Learners play a computer game that revolves around a number line as they try to collect pearls by diving at locations on a number line. As the game progresses, dive locations change from simple whole numbers to...
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...
Curated OER
Comparing a Number and a Product
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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