Math at the Core: Middle School

Grade 5


  • Metric System Basics

    Assess height, weight, and volume using metric measurements. This interactive exercise touches on place value and focuses on the prefixes associated with metric measurement. This resource is part of the Math at the Core: Middle School collection.

    Grades: 2-5
  • Determining Surface Area with Unit Blocks

    Use your spatial reasoning skills to calculate the surface area when given a 3D figure. This video focuses on a right rectangular prism and shows you how unit blocks can help you visualize, then calculate the surface area. 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: 5-7
  • Representing Volume of Right Rectangular Prisms with Unit Cubes

    Use your spatial reasoning skills to calculate the volume when given a 3D figure. This video focuses on a right rectangular prism and shows you how unit blocks can help you visualize, then calculate the volume. This video was submitted through the Innovation Math Challenge, a contest open to professional and nonprofessional producers.
    Grades: 5-7
  • 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
  • Classifying Quadrilaterals

    In this video, examine strategies to identify the properties of quadrilaterals—specifically, parallelograms. Students will compare and contrast squares, rectangles, and rhombuses, which are all parallelograms. In the accompanying classroom activity, students create posters identifying the properties of various quadrilaterals. They explore how these shapes compare and contrast and then analyze the ways that parallelograms distinguish themselves from other quadrilaterals.

    Grades: 5-6
  • 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
  • Understanding Concepts of Volume and Measurement: Bianca’s Babysitting Blues

    In this video from Cyberchase, Bianca is babysitting infant twins. As she tries to give each twin the same amount of liquid baby formula, she discovers that all the baby bottles are different shapes. Learn how she finds two that hold the same amount. In the accompanying classroom activity, students estimate which of four empty containers has the greatest capacity and then determine which one does by measuring actual volume. This resource is part of the Math at the Core: Middle School Collection.

    Grades: 4-6
  • Graphing Points on a Coordinate Plane: Harry’s Feet Compete

    In this video from Cyberchase, Harry decides he needs to start a regular workout schedule. He uses a graph to record his progress. In the accompanying classroom activity, students play a ball-balancing game and record their attempts on a graph to build on the concepts presented in the video. This resource is part of the Math at the Core: Middle School Collection.

    Grades: 4-6
  • Standard Measures and Conversions within a System: Solve the Measurement Problem!

    In this Cyberchase media gallery, the Cybersquad must try to follow a recipe exactly to create a mixture that will help cure their friend Slider. At first, the squad must find a way to ensure standard measures of the ingredients. When this proves only partially effective, they must determine how to make the mixture five times stronger. In the accompanying classroom activity, students use measurement tools, mathematical knowledge, and cooperation skills to create a complete class conversion chart on the board from a 1/4 teaspoon to 1 cup. They then use equations to prove that their conversions are accurate. This resource is part of the Math at the Core: Middle School Collection.

    Grades: 4-5
  • Standard Measures and Conversions: Liquid Volume, Milliliters and Liters

    In this Cyberchase Media Gallery, explore key concepts about liquid volume, including standard units of liquid measure and how to convert between them. In the accompanying classroom activity, students create a complete conversion chart from the smallest measure (a fluid ounce) to our largest measure (a gallon). They use equations to prove that their conversions are accurate and learn to recognize mathematical relationships or patterns between the different measurements. This resource is part of the Math at the Core: Middle School Collection.

    Grades: 5-6
  • Hoop Dream: Use a Diagram to Solve Real-World Math Problems

    In this Cyberchase media gallery, a series of short videos shows how the Cybersquad diagram their own attempts to score a basket in a game called Jimaya Jam in order to win their release from confinement. In the accompanying classroom activity, student pairs play a game of their own called Player Plotting, in which students independently plot points on a coordinate plane and see if the diagrams they create from their points match. This resource is part of the Math at the Core: Middle School Collection.

    Grades: 5-6
  • Area Model for Division

    Visualize solutions to multi-digit division problems by modeling them with virtual manipulatives. This interactive exercise focuses on calculating quotients by working with area models and visualizing the distributive property of division. This resource is part of the Math at the Core: Middle School collection.

    Grades: 3-5
  • Classifying Triangles by Angles and Sides

    In this video, a middle school student explains how to classify triangles according to angle measurements and side lengths. In the accompanying classroom activity, students find and discuss triangular shapes around the classroom.

    Grades: 5
  • Calculating Volume: Tunnel Construction

    Investigate some of the mathematical challenges Boston engineers had to deal with during the Central Artery Tunnel Project (the "Big Dig"). This video focuses on the irregular shape of the casting basin and the volume calculations required to make the casting basin work, taking math out of the classroom and into real world problem solving.
    Grades: 5-7
  • 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
  • Classifying Polygons

    Exhibit your knowledge of 2D shapes and search for similar characteristics. This interactive diagram focuses on sorting polygons by common properties and then you select the correct label for each section of the Venn Diagram. This resource is part of the Math at the Core: Middle School collection.

    Grades: 4-5
  • Geometry and Classification of 2D Figures: Bianca Busts a Move

    In this video from Cyberchase, Bianca breaks her friend’s tabletop when she’s practicing dance moves in his living room. She uses measurement and geometry to get a new piece of wood that will fit the table exactly. The accompanying classroom activity helps students advance their understanding of perimeter and area by creating their own tabletop designs. This resource is part of the Math at the Core: Middle School Collection.

    Grades: 5-6
  • Ratio and Ratio Language: Bianca Pigs Out

    In this video from Cyberchase, Bianca decides to make a stuffed animal for a baby. She encounters a problem when she needs to enlarge the pattern without using a photocopier but solves it by using a grid as a tool. In the accompanying classroom activity, students learn about ratio and proportion by enlarging their favorite comic strip with a grid.

    Grades: 5-6

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