Illustrative Mathematics
Dividing by One-Half
Understanding when to divide by two or one-half can be confusing. Here is an activity that gives four different scenarios. It is up to your number crunchers to decide if they divide by two or one-half. The easiest way to approach the...
Rational Number Project
Initial Fraction Ideas: Lesson 3
Visual models support young mathematicians as they deepen their fractional number sense in this elementary math lesson. Using fraction circle manipulatives, children explore basic unit fractions as they develop the fundamental...
Pennsylvania Department of Education
Fractional Parts Using an Area Model
Learners explore multiplying fractions and their relationship to parts of a whole. They draw and shade fractional parts to show parts of a whole and fractional parts of a fraction. Pupils also use an Internet site for interactive practice.
EngageNY
One-Step Problems in the Real World
Mirror, mirror on the wall, which is the fairest resource of them all? Individuals write and solve one-step equations for problems about angle measurement, including those involving mirrors. Both mathematical and real-world problems are...
Curated OER
Whole Numbers, Fractions, and Decimals
Elementary and middle schoolers participate in an assignment to explore the concept of division and having a remainder. They also practice division problems using decimals and fractions without a remainder.
Curated OER
Comparing Apples With Apples 1
Elementary schoolers observe and demonstrate how to add and subtract fractions with like denominators. They observe the teacher model a variety of fraction addition and subtraction problems and use fraction strips to complete a worksheet.
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...
Fraction Bars
Multiplying Fractions Times Whole Numbers and Fractions
Fifth graders make the connections using models between multiplying a fraction times a whole number and multiplying a fraction times a fraction. After completing three teacher-led activities, pupils access a website on their own to play...
Illustrative Mathematics
Banana Pudding
Making banana pudding despite misplacing your one-cup measuring cup is easy as long as you can find your quarter-cup measuring cup! This real-life activity provides a good opportunity for learners to interpret division of a whole number...
Curated OER
Fractions- Fraction Strips
In this fraction worksheet, students read about fractions as parts of a whole fraction strip at the top of the page. They write the fractions for each shaded part and each unshaded part of 7 fraction pictures. They shade the indicated...
Fraction Bars
Quotients of Whole Numbers that Equal Fractions
A complete lesson on dividing whole numbers by other whole numbers and getting a fraction result. Groups of learners use fractions bars, and strips of paper that are cut to specific lengths. The hands-on activities in the lesson are...
EngageNY
Interpreting and Computing Division of a Fraction by a Fraction—More Models
Use a unit approach in developing a fraction division strategy. The teacher leads a discussion on division containing units, resulting in a connection between the units and like denominators. Pupils develop a rule in dividing fractions...
Illustrative Mathematics
How Many Servings of Oatmeal?
Here is another way to illustrate division of a whole number by a unit fraction. In this case, the problem is asking if there are so many servings per cup, how many servings are in a package of multiple cups. Learners are to model their...
Curated OER
Smaller Than One
Students examine how to convert fractions into decimals and percents. They work with base ten blocks and a worksheet to color in parts of 100 and renaming the parts as decimals and fractions.
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 denominators that allows them...
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.
Curated OER
Smaller Than One
Sixth graders practice converting a fraction into a decimal and a percent. They explain relationships among rational numbers. They order and compare whole numbers, fractions (including mixed numbers), and decimals using a variety of...
Illustrative Mathematics
Banana Bread
Show your future bakers how to choose the right baking pan by calculating the volume of a pan. The resource compares two pans, one with decimal edge lengths and is too small for the recipe and one that may work. Your number crunchers are...
Curated OER
Understanding Fractions
Learners explore the parts of an orange to develop an understanding of the addition and subtraction of fractions. The concept of representing parts of a whole by dividing an object into smaller pieces is experienced in this hands-on...
Curated OER
Problem Solvers
Fifth and sixth graders compare decimals to the place-value structure in the base-ten number system. They represent fractions as parts of unit wholes, as parts of a set, as locations on a number line, and as divisions of whole numbers....
Curated OER
Fractions Forever!
Middle schoolers identify proper, improper fractions, and mixed numbers. They reduce fractions to their lowest terms. They add and subtract fractions with different denominators, and multiply and divide fractions, as well as decimal...
University of Minnesota
Fraction Operations and Initial Decimal Ideas
Add another strategy to the toolboxes of young mathematicians with this elementary math lesson on using number lines to add and subtract fractions.
Curated OER
Fractions: Jim and John
Elementary and secondary learners investigate various concepts related to the study of fractions. They use word problems during the introduction to parts of a fraction and proceed to some of the basic operations of using fractions. The...
Curated OER
Adding and Subtracting Fractions and Mixed Numbers
Elementary schoolers participate with their teacher's instruction to learn to add and subtract fractions and mixed numbers. They use fraction strips to complete addition and subtraction problems. A step-by-step script is provided to help...