Fractions of shapes, objects and measures

Worked solution

1. 1

   Share the whole collection between two plates.

   One half means one of two equal groups, using all ten strawberries.

2. 2

   Put five strawberries on each plate.

   $5+5=10$

   Two equal groups of five use exactly the ten strawberries.

3. 3

   Take the amount on one plate.

   $5\text{strawberries}$

   One half is one group, rather than the number of groups.

Worked solution

1. 1

   Make eight equal lengths from the whole ribbon.

   $24÷8=3$

   Sharing twenty-four centimetres equally into eight parts gives three centimetres per part.

2. 2

   Check that eight pieces rebuild the length.

   $\begin{array}{rl}3+3+3+3& =12\\ 12+12& =24\end{array}$

   Four pieces make twelve centimetres; two such groups contain all eight pieces.

3. 3

   Name the length of one piece.

   $3\text{cm}$

   The question asks for one piece, so keep the length unit in the answer.