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Level Three > Number and Algebra

# Getting the Point

Purpose:

This is a level 3 number link activity from the Figure It Out series. It relates to Stage 6 of the Number Framework.

Achievement Objectives:

Specific Learning Outcomes:

write fractions as decimals

Required Resource Materials:
FIO, Link, Number, Book Two, Getting the Point, page 20
A Slavonic abacus or a beads frame (optional)
Activity:

The important feature of this activity is that the whole (in this case, a beads frame) is separated into two parts in the corners. These parts can therefore be represented as a fraction of 100 if the whole is considered to be 100 out of 100.
Make sure that the students notice that the fractions shown in question 1 are complementary because they always add to 1 or 100/100 . A useful warm-up activity may be to have the students make a chart showing some addition complements to 100, for example:
10 + 90 = 100, 20 + 80 = 100, 30 + 70 = 100, …
5 + 95 = 100, 15 + 85 = 100, 25 + 75 = 100, …
You could also explore question 2 by using a calculator as well as the abacus mentioned in the question. If the students press 1 ÷ 3 and = on a calculator, the display will show 0.3333333. If they then multiply 24
this by 3, the calculator display will show 0.9999999 rather than 1. This rounding error is caused by the problem that 1 cannot be divided by 3 exactly in a decimal system, and so a recurring decimal is formed.

1. a. 70/100 or 7/10 = 0.7 30/100 or 3/10 = 0.3
b. 40/100 or 4/10 = 0.4 60/100 or 6/10 = 0.6
c. 25/100 or 1/4 = 0.25 75/100 or 3/4 = 0.75
d. 63/100 = 0.63 37/100 = 0.37
2. No, because 100 will not divide evenly by 3.

## Branching Out

This is a level 4 number activity from the Figure It Out series. It relates to Stage 7 of the Number Framework.

## Muffin Mania

This is a level 5 number link activity from the Figure It Out series. It relates to Stage 8 of the Number Framework.

## Wooden Projects

This is a level 4 number link activity from the Figure It Out series. It relates to Stage 7 of the Number Framework.

## Conversion Cousins - Part 2

This is a level 4 number link activity from the Figure It Out series. It relates to Stage 7 of the Number Framework.

## Conversion Cousins - Part 1

This is a level 4 number link activity from the Figure It Out series. It relates to Stage 7 of the Number Framework.