Grade 2 Geometry: Partitioning Shapes

Worked examples

Real problems from the practice worksheets, solved one step at a time.

1. Example 1

   This rectangle is cut into thirds. How many thirds are shaded?

   1. Each of the equal parts is called a third.
   2. Point to each shaded part and count them. Skip the parts that are not shaded.
   3. So the number of shaded thirds is 2.

   Answer: 2

2. Example 2

   What part of the circle is shaded: a half, a third, or a fourth?

   1. Count the equal parts: the circle is cut into 4 equal parts.
   2. 4 equal parts make the whole, so each part is a fourth — 4 fourths make 1 whole.
   3. 1 part is shaded, so a fourth of the circle is shaded.

   Answer: fourth

3. Example 3

   A circle is split into fourths. 2 parts are colored. How many parts are NOT colored?

   1. Fourths means 4 equal parts.
   2. 4 − 2 = 2
   3. 2 parts are not colored.

   Answer: 2