Lesson 7 Equivalent Fractions

    • Let’s find some equivalent fractions.

Warm-up True or False: Equivalence

Decide if each statement is true or false. Be prepared to explain your reasoning.

Activity 1 Two or More Fractions

Problem 1

Each entire diagram represents 1 whole. Write two or more fractions that the shaded part of each diagram represents. Be prepared to explain your reasoning.

  1. diagram. 8 equal parts, 2 parts shaded
  2. Diagram. 6 equal parts, 2 parts shaded.
  3. Diagram. 10 equal parts, 2 parts shaded.
  4. Diagram. 12 equal parts, 8 parts shaded.

Problem 2

Write two or more fractions that the point on each number line represents. Be prepared to explain your reasoning.

  1. Number line. 0 to 1, There are 6 evenly spaced tick marks. First tick mark, 0.  Sixth tick mark, 1. A point is labeled at the third tick mark.
  2. number line. 11 evenly spaced tick marks. First tick mark, 0. Second tick mark, 1 fourth. Point at fourth tick mark, unlabeled.
  3. Number line. 11 evenly spaced tick marks. First mark labeled 0. Sixth tick mark labeled 1. Point at seventh tick mark, unlabeled.
  4. Number line. 11 evenly spaced tick marks. First tick mark, 0. Second tick mark, 1 fourth. Point at sixth tick mark, unlabeled.

Problem 3

Place a new point on a tick mark on one of the last two number lines (in part 2c or 2d). Then, write two fractions that the point represents.

Activity 2 Equivalent for Sure?

For each fraction, find two equivalent fractions.

Next, show or explain to your partner how you know that the fractions you wrote are equivalent to the original. Use any representation that you think is helpful.

Partner A

Partner B

Practice Problem

Problem 1

Name three fractions that are equivalent to . Explain or show your reasoning.