Lesson 10 One of the Pieces, All of the Pieces

    • Let’s describe equal pieces of shapes.

Warm-up Which One Doesn’t Belong: Split Shapes

Which one doesn’t belong?

  1. Rectangles, partitioned into 4 parts, different sizes. One part shaded.
  2. Rectangle, partitioned into 2 equal parts, 1 part shaded.
  3. Square, partitioned into 4 equal parts, 4 parts shaded.
  4. Circle, partitioned into 4 equal parts, 1 part shaded.

Activity 1 Color a Piece

Problem 1

  1. Split the square into halves.
    Color in one of the halves.

    Square.

  2. How much of the square is colored in?

Problem 2

  1. Split the circle into fourths.
    Color in one of the fourths.

    Circle.

  2. How much of the circle is colored in?

Activity 2 Card Sort: Shaded Pieces

  1. Sort the cards into categories in a way that makes sense to you. Explain how you sorted the cards.

  2. Sort your cards into these categories.
    Write the letter of each card in the space for its category.

    A fourth or quarter is shaded

    Line to separate the 2 groups.

    A half is shaded

    The whole shape is shaded

    Line to separate the 2 groups.

    Not equal pieces

Activity 3 Describe Equal Pieces

Here are some ways to describe the shapes.

  • split into fourths

  • split into halves

  • split into quarters

  • two of the halves shaded

  • a half shaded

  • a quarter shaded

  • a fourth shaded

  • four of the fourths shaded

Label each shape with at least one phrase from the lists.

  1. Rectangle, partitioned into 2 equal parts, 1 part shaded.
  2. Circle, partitioned into 4 equal parts, 4 parts shaded.
  3. Rectangle, partitioned into 4 equal parts.
  4. Circle, partitioned into 4 equal parts, 1 part shaded.
  5. Square, partitioned into 2 equal parts, 2 parts shaded.
  6. Square, partitioned into 4 equal parts, 1 part shaded.
  7. Circle, partitioned into 2 equal parts.

Practice Problems

Problem 1

  • Split the circle into fourths.

  • Color in four of the fourths.

Circle.

Problem 2

  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.