Lesson 1 Representations of Fractions (Part 1)

    • Let’s name some fractions and represent them visually.

Warm-up What Do You Know About …?

What do you know about ?

Activity 1 Fraction Strips

Your teacher will give you strips of paper. Each strip represents 1.

diagram. rectangle
  1. Use the strips to represent halves, fourths, and eighths.

    Use one strip for each fraction and label the parts.

  2. What do you notice about the number of parts or the size of the parts? Make at least two observations.

Activity 2 Fractions, Represented

Problem 1

If each full diagram represents 1, what fraction does each shaded part represent?

  1. Diagram. Rectangle partitioned into 2 equal parts. 1 part shaded.
  2. diagram, 3 equal parts, 1 part shaded
  3. Diagram. 5 equal parts, 1 part shaded

Problem 2

Here are four blank diagrams. Each diagram represents 1. Partition each diagram and shade one part so that the shaded part represents the given fraction.

  1. Tape diagram. 1 part.
  2. Tape diagram. 1 part.
  3. Tape diagram. 1 part.
  4. Tape diagram. 1 part.

Problem 3

Suppose you are creating a representation of using the same blank diagram. Would the shaded part be larger or smaller than the shaded part in the diagram of ? Explain how you know.

Practice Problem

Problem 1

  1. The entire diagram represents 1 whole. Shade the diagram to represent .

    blank tape diagram
  2. To represent on the tape diagram, would we shade more or less than what we did for ? Explain your reasoning.