Equivalent Fraction

The purpose of the Equivalent Fraction Hop Mat is to help students understand fractions in relation to whole numbers. The activities found in this guide help students recognize equivalent fractions and progress into addition, subtraction, and multiplication of fractions.

Grade 2 - Grade 6

Worksheets

    Manipulatives

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    1. Multiplying to Divide Fractions

      Use the mat to explain how to divide fractions by fractions. Have students gather around the mat. Start by asking: "What is 1/2 ÷ 1/4?" Explain: "This means: How many...
      Grade 6, Grade 7
    2. What is the rate?

      Introduce students to the idea of a ratio and how it can be written as a fraction (a/b), and how that relates to the unit rate ("for each 1"). Write...
      Grade 6, Grade 7
    3. Division by a Whole

      Choose a unit fraction. Roll a die that will determine the divisor for the problem. Now, use small strips of paper, string, or electric tape to divide one of the...
      Grade 5, Grade 6
    4. Exploring Fractions

      Have students walk along the mat starting at 1/2. Make sure that they take time to observe and discuss the pictures on that space. You can introduce terminology through this...
      Grade 2, Grade 3
    5. Decomposition

      Have a student toss a bean bag onto the mat. Look at the numerator of the fraction that the beanbag lands on and have that many students stand on the...
      Grade 4
    6. Simplifying Fractions

      Ask your students the following questions. Have them solve each by standing on the fraction in the problem and finding an equivalent fraction. (Can slide foot along line horizontally or...
      Grade 3, Grade 4
    7. Where’s My Place?

      Create a vertical number line with zero through one on the perimeter of the mat (tape on the floor or printed on paper). Create index cards with fractions (ex: ¼,...
      Grade 3, Grade 4
    8. Reaching One

      Create index cards with various fractions that can be found on the mat. Pick a card and find that fraction on the mat. Now, determine how far you are from...
      Grade 4
    9. Multiplying Fractions

      Give students a fraction to multiply. For example: What is 3 x ⅜ ? Remind students that when we are multiplying 3 x ⅜, we are adding three groups of...
      Grade 4, Grade 5
    10. Adding and Subtracting Fractions

      Create index cards with addition and subtraction problems using fractions with the same denominator (e.g. 1/5 + 4/5; 6/7 - 2/7). Pick a card and use the mat to solve...
      Grade 4

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