Section B: Practice Problems Halves and Quarters

Section Summary

Details

We learned that circles and rectangles can be split into two equal pieces which are called halves and four equal pieces which are called fourths or quarters.

A half of the square is shaded.

Square, partitioned into 2 triangles with equal length sides, 1 part shaded.

A fourth or a quarter of the circle is shaded.

Circle, partitioned into 4 equal parts, 1 part shaded.

Two of the halves are shaded.

Rectangle, partitioned into 2 shaded triangles with equal length sides.

Four of the fourths are shaded.

Problem 1 (Lesson 9)

  1. Han drew this picture to show a circle split into fourths.

    Circle, partitioned into 4 parts. One half. Three other parts the same size.

    Do you agree with Han?

    Show your thinking using drawings, numbers, or words.

  2. Split the rectangle into fourths.

    Rectangle.

Problem 2 (Lesson 10)

  • Split the circle into fourths.

  • Color in four of the fourths.

Circle.

Problem 3 (Lesson 10)

  1. How much of each rectangle is shaded?

    2 rectangles. First rectangle, partitioned into 4 equal parts, 1 part shaded. Second rectangle, partitioned into 2 equal parts, 1 part shaded.

  2. Circle the rectangle that has a bigger shaded piece.

Problem 4 (Exploration)

  1. Kiran says half of the square is shaded.

    Do you agree with Kiran?

    Show your thinking using drawings, numbers, or words.

    Square, partitioned into 9 equal parts, 5 parts shaded.

  2. Priya says half of the square is shaded.

    Do you agree with Priya?

    Show your thinking using drawings, numbers, or words.

    Square, partitioned into 16 equal parts, 8 parts shaded.

Problem 5 (Exploration)

Han wonders if half of the circle is shaded.
What do you think?

Circle. Pattern design, made of blue and white shapes of different sizes.