Introducing Decimal Fraction Place Value

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Achievement Objectives
NA4-1: Use a range of multiplicative strategies when operating on whole numbers.
Specific Learning Outcomes

Solve division problems by sharing.

Description of Mathematics

Number Framework Stage 7

Required Resource Materials
Unilink cubes

Sets of ten connected unilink cubes wrapped in paper

Activity

 Using Materials

Problem: Henry has 6 bars of chocolate to share among 5 friends. How much does each get?
A wrapped bar and a loose bar are shown:

chocolatebar.

 Henry has 6 wrapped bars. After sharing out 1 whole bar to each friend, the last bar needs to be unwrapped. Then each friend gets another two-tenths of a bar. The teacher writes 6 ÷ 5 = 1 whole + 2 tenths on the whiteboard or modelling book.

Using Materials, Using Imaging, and Using Number Properties

The teacher can select problems from the set below for any stage. When teachersmake up their own examples, they should make sure the answers are to 1 d.p.So 7 ÷ 5 = 1.4 is suitable, but 7 ÷ 4 = 1.75 is not.

Problems

8 ÷ 5 = ? wholes + ? tenths                        7 ÷ 5 = ? wholes + ? tenths

5 ÷ 2 = ? wholes + ? tenths                        2 ÷ 5 = ? wholes + ? tenths

1 ÷ 2 = ? wholes + ? tenths                        6 ÷ 4 =  ? wholes + ? tenths

4 ÷ 5 = ? wholes + ? tenths                        7 ÷ 2 =  ? wholes + ? tenths

10 ÷ 4 = ? wholes + ? tenths                      4 ÷ 10 = ? wholes + ? tenths

3 ÷ 10 = ? wholes + ? tenths                       9 ÷ 2 = ? wholes + ? tenths

 
 

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Level Four