Number & Operations—Fractions


  • Area Models for Multiplication of Fractions

    Use area models to show a visual representation of the product of two fractions. This interactive exercise focuses on multiplying fractions and reducing them when possible. This resource is part of the Math at the Core: Middle School collection.

    Grades: 4-6
  • Solving Equivalent Fraction Problems: Bianca’s New Pet

    This video from Cyberchase features Bianca working on her aunt and uncle’s farm. Bianca is excited because she’s getting a new pet. She uses equivalent fractions to combine different lengths of wood to build a roof on a house for the new pet. In the accompanying classroom activity, students use equivalent fractions to solve a problem and create word problems of their own. This resource is part of the Math at the Core: Middle School Collection.

    Grades: 4-5
  • Adding and Subtracting with Unlike Denominators: Help Wanted for Bianca

    In this Cyberchase video, Kelly helps Bianca get a job working with her at a ribbon store. Bianca is so focused on taking advantage of her employee discount that she doesn't pay attention to Kelly's instructions. When it comes time to ring up a sale, Bianca struggles with adding measurements written as mixed numbers. Kelly helps by giving her a yardstick and some math strategies based on number sense. In the accompanying classroom activity, students participate in a cotton ball blowing event designed to give them practice adding fractions with different denominators.This resource is part of the Math at the Core: Middle School Collection.

    Grades: 5-6
  • Explore the Relationship Among Fractions, Decimal Notation, and Percents

    In this Cyberchase media gallery, a series of videos explores the relationships among fractions, decimals, and percents, which can be used to represent the same values in different ways. In the accompanying classroom activity, students shade in parts of squares and rectangles drawn on a piece of graph paper and express the shaded amount in the form of a fraction, a decimal, and a percent. This resource is part of the Math at the Core: Middle School Collection.

    Grades: 4-5
  • Dividing a Whole Number by a Unit Fraction

    Explore division by modeling problems and grouping with manipulatives. This video focuses on dividing whole numbers by unit fractions and modeling the problems with unit blocks. This video was submitted through the Innovation Math Challenge, a contest open to professional and nonprofessional producers. This resource is part of the Math at the Core: Middle School collection.

    Grades: 4-6
  • Product of a Whole Number and a Fraction

    Explore multiplication by modeling problems and grouping with manipulatives. This video focuses on multiplying whole numbers by unit fractions and modeling the problems with unit blocks. This video was submitted through the Innovation Math Challenge, a contest open to professional and nonprofessional producers.
    Grades: 4-6
  • Commutative and Associative Properties of Addition

    Generate equivalent expressions using two additive properties. This video focuses on using the associative and commutative properties of addition to combine like terms, simplify expressions, and create equivalent expressions.

    This video was submitted through the Innovation Math Challenge, a contest open to professional and nonprofessional producers and is part of the Math at the Core: Middle School collection.

    Grades: 3-7
  • One-Variable Equations: How Much Did He Read?

    Visualize a word problem in multiple ways to develop your problem solving skills. This video focuses on converting a problem with fractions into a one-variable equation and alternately modeling it using unit blocks.

    This video was submitted through the Innovation Math Challenge, a contest open to professional and nonprofessional producers and is part of the Math at the Core: Middle School collection.

    Grades: 4-6
  • Word Problems Using Addition and Subtraction of Fractions: Harry Gets Locked Up

    This video features Harry and his cousin Harley. Harley is desperate to use Harry's bike, but first he must decipher the combination to the bike lock by solving a word problem. In the accompanying classroom activity, students complete a code-cracking activity of their own. This resource is part of the Math at the Core: Middle School Collection.

    Grades: 5
  • Addition of Fractions Using a Visual Model

    Use a visual model to add fractions with unlike denominators. This video focuses on using an equivalent fractions chart to compare fractions and find the correct sum.

    This video was submitted through the Innovation Math Challenge, a contest open to professional and nonprofessional producers and is part of the Math at the Core: Middle School collection.

    Grades: 4-5
  • Subtraction of Fractions Using a Visual Model

    Use a visual model to subtract fractions with unlike denominators. This video focuses on using an equivalent fractions chart to compare fractions and find the missing piece.

    This video was submitted through the Innovation Math Challenge, a contest open to professional and nonprofessional producers and is part of the Math at the Core: Middle School collection.

    Grades: 4-5
  • Modeling Fraction and Mixed Number Division Using Arrays

    This video illustrates how to use an array as a visual model for solving a word problem involving the division of fractions and mixed numbers. The problem asks students to determine the width of a rectangular fennec fox den based on its length and area. In the accompanying classroom activity, students get additional practice solving another more difficult area problem featuring the division of fractions and mixed numbers. This resource is part of the Math at the Core: Middle School Collection.

    Grades: 5-7
  • Modeling Fraction Division Using Comparison, Group Number Unknown

    This animated video illustrates a visual model for solving a word problem involving the division of fractions. The problem asks students to use fractions to compare the spring weight of a hedgehog with its weight just before hibernation. In the accompanying classroom activity, students use visual models to work through the challenge problem presented at the end of the video, which also involves the division of fractions and comparison. This resource is part of the Math at the Core: Middle School Collection.

    Grades: 5-7
  • Modeling Fraction Division, Equal Groups, Number of Groups Unknown

    This animated video illustrates a visual model for solving a word problem involving the division of fractions. The problem asks students to determine how many equal-sized narwhals are within a whole pod. In the accompanying classroom activity, students work through a similar but more difficult problem with the help of bar models and other visual representations. This resource is part of the Math at the Core: Middle School Collection.

    Grades: 5-7
  • Modeling Fraction Division, Equal Groups, Group Size Unknown

    This animated video illustrates a word problem that requires dividing two fractions with equal groups, group size unknown. Students are presented with a problem that asks how long it takes a sloth to climb down a tree trunk at an even rate and given a solution to the problem that uses visual modeling. In the accompanying classroom activity, students solve a second problem using their own visual models.This resource is part of the Math at the Core: Middle School Collection.

    Grades: 5-7
  • Base 60: Babylonian Decimals

    Explore a brief history of mathematics in Mesopotamia through the Babylonian Base 60 number system. This video focuses on how a base 60 system does not use fractions or repeating decimals, some of the advantages of a base 60 system, and some components that carried over into the base 10 system we use today, taking math out of the classroom and into the real world.
    Grades: 5-6
  • Relationship of Division and Fractions

    Explore the connection between division and fractions while dividing up cookies. This video focuses on recognizing patterns when modeling dividing up cookies to share with people.

    This video was submitted through the Innovation Math Challenge, a contest open to professional and nonprofessional producers and is part of the Math at the Core: Middle School collection.

    Grades: 3-7
  • Modeling Fraction Multiplication Using Arrays

    This video illustrates a word problem involving the multiplication of fractions using an array to model the solution visually. The problem involves puffins, arctic birds that live in colonies and fish to feed their young. The accompanying classroom activity provides students with practice solving additional fraction multiplication problems using arrays. This resource is part of the Math at the Core: Middle School Collection.

    Grades: 5
  • Modeling Fraction Division Using Arrays

    This video illustrates a visual model for solving a word problem involving the division of fractions. The problem asks students to determine the width of a rectangular platypus burrow based on its length and area. In the accompanying classroom activity, students use arrays to estimate and/or solve the challenge problem presented at the end of the video. This resource is part of the Math at the Core: Middle School Collection.

    Grades: 5-7
  • Modeling Fraction Division Using Comparison, Group Size Unknown

    This video illustrates a visual model for solving a word problem involving the division of fractions. The problem asks students to determine the length of a losing frog's jump in a jumping frog contest based on a comparison with the length of the winning jump. The accompanying classroom activity requires students to use visual models to work through the challenge problem presented at the end of the video, which also involves the division of fractions and comparison. This resource is part of the Math at the Core: Middle School Collection.

    Grades: 5-7

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