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Cogito

Grade 3 Math · Chapter 7 · Lesson 2

Practice Worksheet

Equal Areas of a Shape

Each part is a unit fraction of the whole.

10 problems · about 12 minutes · 3.G.A.2

NameDate

Figure — use these to answer the problems

Split the shape and name one part as a fraction.

0/6 shaded

How many equal parts6
Figure 1

Warm-Up Review

From earlier lessons. Loosen up before the new work.

3 problems

  1. From “The Quadrilateral Family”

    How many sides does every quadrilateral have?

    Answer

  2. From “Line Plots With Fractions”

    Stacks of 2, 3, 4 and 1. How many measurements in all?

    Answer

  3. From “Measuring to Halves and Fourths”

    How many fourths make three quarters?

    Answer

Warm Up

Straightforward practice. Get the method working first.

3 problems

  1. A shape split into 7 equal parts. What is the denominator of one part?

    Answer

  2. What has to be equal about the parts?

    • The area they cover.
    • Their shape.

  3. A shape split into 4 equal parts. What is one part called?

    • One fourth.
    • One half.

Build It Up

The same ideas with more to keep track of.

1 problem

  1. A shape split into 5 equal parts, 2 shaded. What is the numerator?

    Answer

Stretch Yourself

Mixed problems. Work out what kind of question it is before you start.

3 problems

  1. Must the equal parts be the same shape?

    • No. Only the same area.
    • Yes.

  2. The Window

    A window is split into 6 equal panes. What fraction is one pane?

    Answeras the denominator

  3. Shaded Parts

    A shape is split into 8 equal parts and 3 are shaded. What fraction is shaded?

    Answereighths