Lesson 7 Make Halves, Thirds, and Fourths

    • Let’s make halves, thirds, and fourths or quarters.

Warm-up Which One Doesn’t Belong: Compare Equal Pieces

Which one doesn’t belong?

  1. Diagram. Square partitioned into 4 unequal parts. One part shaded.
  2. Diagram. Four-sided shape partitioned into four equal parts.
  3. Diagram. 4-sided figure partitioned into two parts, one part shaded.
  4. Diagram. Circle partitioned into four equal parts, one part shaded.

Activity 1 Fold Equal Pieces

  1. Fold the rectangle to make 2 equal pieces and cut them out.

    Each piece is called a .

    Compare with your partner. Tell how you know the pieces are equal.

  2. Fold the rectangle to make 4 equal pieces and cut them out.

    Each piece is called a .

    Compare with your partner. Tell how you know the pieces are equal.

  3. Fold the rectangle to make 3 equal pieces and cut them out.

    Each piece is called a .

    Compare with your partner. Tell how you know the pieces are equal.

Activity 2 That’s Not It

Noah is looking for examples of circles that have been partitioned into halves, thirds, or fourths.

  1. Put an X on the 2 circles in each row that are not examples.

    halves

    Diagram. 3 circles. One circle partitioned into 2 equal parts, two circles partitioned into 2 unequal parts.

    fourths

    Diagram. 3 circles. One circle partitioned into 4 unequal parts, one circle partitioned into 4 equal parts, one circle partitioned into 2 equal parts.

    thirds

    Diagram. 3 circles. Circle partitioned into 4 equal parts, circle partitioned into 3 equal parts, and circle partitioned into 3 unequal parts.

  2. Explain why each of the shapes you marked is not an example of halves, fourths, or thirds.

  3. Partition this circle into thirds.

    Circle.

Practice Problem

Problem 1

  1. Andre drew this picture and said each part of the square is a fourth. Do you agree with Andre?  Explain.

    Diagram. Square partitioned into 4 equal parts.

  2. Partition the square into 4 equal parts in a different way.

    Square.