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...
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...
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...
Curated OER
Introduction to Equivalent Fractions
Explore equivalent fractions! Youngters measure the crown of their head with adding tape labeled with various fractions and fractional parts, and compare strips to notice numerical relationships. They fold adding tape in half and color...
EngageNY
Decimal Expansions of Fractions, Part 2
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...
Curated OER
Fractions and Paper Folding
In this fraction lesson, students manipulate paper by folding it to create different shapes and sizes, they explore the concept of fractions, and discuss their observations as a class. This is a great lesson for getting students...
Curated OER
Fruity O Fractions
Fifth graders become mathematical problem solvers using cereal to help demonstrate fractions and equivalent fractions. They use a graph to represent the data, and to compare fractions.
Curated OER
Understanding Fractions - Cookbook Comparisons
Learners explore equal fractions in relationship to a whole unit. They fold strips of paper into halves, thirds, etc. and compare them to the first strip which represents a "whole unit." Fractional parts are identified and compared.
Curated OER
Lesson 3: Number Sense
Learners solve word problems using number sense. They convert fractions to decimals and mixed numbers. Pupils determine if a given fraction is greater or less than another fraction, and order numbers on a number line.
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
Counting with Base - Ten Models
Help your kids develop strategies for counting. In this base-ten lesson, learners use matching cards, base 10 blocks, and dry erase markers and boards to examine the base 10 counting system.
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.
Curated OER
Bits and Pieces: Fractions Greater Than One
Students compare fractions. In this fraction worksheet, students examine the number line. Using the Internet, they explore models of numbers greater than one. Students complete multiple-choice worksheets.
Curated OER
A Fraction of the Possibilities
Students review the conversion of fractions to decimals, develop strategies to compare fractions perform complex calculations using ratio techniques similar to the construction of fractions.
Curated OER
New: Fun with Fractions
Third graders determine that the larger the denominator the more parts the whole is being divided into. They use fractions to communicate and compare parts of the whole. They discover what the numerator and denominator of a fraction...
Curated OER
"NSN, Fractions, Percents, Ratios, Rates" Investigations
Sixth graders engage in an investigation about the concepts related to fractions. They read, represent, compare, and order proper and improper fractions, and mixed numbers. They demonstrate an understanding of relationships involving...
Curated OER
Is Bigger Always Better?
Explore rational numbers with the young mathematicians in your class. They will investigate decimals, fractions, and percents before ordering and comparing rational numbers. This multi-day unit includes differentiation activities and...
Curated OER
Defining Division
Upper graders explore division through fair-shares. They will review fair shares and fractions as a segway into division. They start by playing "Share Fairly" game and create mathematical arguments for solving problems. Manipulatives and...
Curated OER
Comparing Positive Fractions, Mixed Numbers & Decimals
Seventh graders explore the concept of fractions, mixed numbers, and decimals. In this fractions, mixed numbers, and decimals lesson plan, 7th graders compare different forms of rational numbers on a number line. Students order...
Pennsylvania Department of Education
Fractions of a Set
Students explore number sense by completing a number set worksheet. For this fractions lesson, students utilize pattern blocks as a visual reference to the fractions they practice identifying. Students read the book Clean-Sweep Campers...
Curated OER
Fractions and Decimal Equivalents: Fifth Grade
Sometimes a skeleton is all you get. This lesson outline provides teachers with a basic lesson flow. Pupils will pre-test, order place value names, use manipulatives, and build and compare numbers. How this is to be done is not...
Curated OER
Candy Machine
Using the concept of a candy vending machine, young mathematicians explore the sugar ratios found in different types of candy. Using the provided information, class members calculate and compare different ratios in order to find the...
Pennsylvania Department of Education
Dividing with Fractions
Fifth graders explore the strategies to solve word problems using multiplication and division. In this problem solving lesson, 5th graders recognize the relationship between multiplication and division to solve problems. Students view...