Illustrative Mathematics
Naming the Whole for a Fraction
How many different ways can you represent a whole? In a picture that represents six parts (two of which are shaded), learners are asked to label the parts appropriately to show how three different mathematical interpretations can be...
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
Track Practice
And they're off! While two runners are at track practice, your mathematicians' job is to find out who leaves the other in the dust. The activity provides a variety of data that can be computed into unit rates for comparisons. Available...
Curated OER
Geometric Pictures of One Half
A learning task that involves creative ways of thinking permits children to use paper models as a way to visualize the fraction one-half. Learners can fold or cut their models in such a way that the unshaded regions, and shaded regions...
Illustrative Mathematics
Half of a Recipe
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....
Math Centre
Fractions: Adding and Subtracting
Young mathematicians piece together the puzzle of fractions. Starting with the addition and subtraction of fractions with like denominators, this series of example problems and skills practice exercises transitions students to working...
Curated OER
Snow Day
It's a snow day, and two brothers attending schools with different schedules each got a late start to the day. But who had the shorter school day? That's what your class will find out as they apply their knowledge of fractions to this...
Illustrative Mathematics
Making Hot Cocoa, Variation 2
Learners are introduced to dividing by fractions in a visual way. Setting up groups from the information in the problem allows them to see what we divide and why. Use with the previous lesson, which can be found in Additional Materials,...
Illustrative Mathematics
Sugar in Six Cans of Soda
Understanding how to multiply a whole number by a fraction is the key concept. Young mathematicians create a visual model of this real-world example and find the solution. Extensions are possible for making this an even richer activity....
Illustrative Mathematics
Molly's Run, Assessment Variation
Part of as assessment series, the activity follows the lesson Molly's Run to practice ratios and dividing with fractions. Different solution options are given for your learners' preference. The commentary explains how the standards...
Illustrative Mathematics
Sharing Prize Money
When three classrooms are to split up prize money, your mathematicians must find the percentage that each class deserves and calculate the total amount. There is an option to use a calculator and practice rounding.
Fun Music Company
The Harmonic Minor Scale
The harmonic minor scale, including the use of accidentals, is the focus of a one-page worksheet that includes instructional information and practice exercises.
Illustrative Mathematics
Making Hot Cocoa, Variation 1
Dividing with fractions can be a confusing task to some, but the activity illustrates how to make groups out of the problem and look at it visually. Use this problem with the activity in the Additional Materials section to practice this...
Salt Lake City School District
Two-Step Word Problems
Learners model a real-life scenario by writing a two-step algebra equation and solving it, as they complete this worksheet. Ten practice word problems on one piece of paper are nicely prepared just for your young algebra learners.
Illustrative Mathematics
Running to School, Variation 2
Rose's commute to school is a fractional distance. After she runs part of the way, your class needs to determine what fractional distance she ran. This problem explores fraction operations through modeling and computation. The...
Houghton Mifflin Harcourt
Simple and Compound Interest
Your learners will get lots of practice calculating simple and compound interest by the end of this lesson. Simple explanations and examples lead learners through the concepts and steps of calculating simple and compound interest...
Illustrative Mathematics
Voting for Two, Variation 4
After elections, the total amount of votes is not specified but the ratio of votes is. Your learners' job is to determine the fraction of votes John received above half of all votes. The problem can be solved abstractly or by other...
Illustrative Mathematics
Computing Volume Progression 2
Once your geometers know how to apply the formula V = l w h, they will be ready to take on the fractional volume of a fish tank. Have your number crunchers swap heights so they can see that the fractional volume will not change.
Curated OER
Folding strips of paper
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,...
Illustrative Mathematics
Fractions on the Number Line
Fractions are a common fear in school, but visualizing them on a number line can help your learners understand their relationship to one another. The activity provides two solutions; use either a number line or a common denominator....
Curated OER
Graphing Inequalities in Two Variables
This study guide is a great resource to help you present the steps to graphing linear inequalities. Show your class two different ways to graph an inequality and work on a real-world example together. The document could also be easily...
Illustrative Mathematics
Shrinking
Is Aunt Nancy shrinking? Find out by calculating with the average height women lose each year. The activity practices multiplying and dividing with decimals and rounding the final answer.
Illustrative Mathematics
Traffic Jam
Help your learners understand dividing with fractions by using these methods to solve. Chose from two different number lines or linker cubes. This practices "how many groups?" style division problems which help them comprehend why they...
Illustrative Mathematics
Voting for Two, Variation 3
After calculating election votes, your learners must determine how many votes the winner, John, got above 50%. This multi-step problem encourages them to think in a deeper way about what the question is asking them to find. Use with...