All Bottled Up

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Purpose

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

A PDF of the student activity is included.

Achievement Objectives
NA4-3: Find fractions, decimals, and percentages of amounts expressed as whole numbers, simple fractions, and decimals.
Student Activity

Click on the image to enlarge it. Click again to close. Download PDF (211 KB)

Specific Learning Outcomes

find a fraction of a whole number

Required Resource Materials

FIO, Link, Number, Book One, All Bottled Up, page 23

Activity

The capacity context of this activity allows students to explore the concept of the fraction of a set more fully. Use the first diagram in each pair shown in question 1 to help the students to appreciate the capacity of the whole container as an equivalent fraction for 1. Have the students record these fractions for 1 for each part
of the question. They could record these fractions in a table.
table.

Question 1e will trap the unwary if they do not read the caption carefully. Question 1e also focuses the students on the complementary relationship between full and empty. After the students have answered question 1e, you could make this relationship quite explicit for each part of question 1 to reinforce the equivalent fractions for 1. Another table could be useful:
table.
This is a good activity to introduce the double number line as a tool for visualising the relationship between the fraction and the set. For question 1a, the number line could look like this:

number line.
Question 2 shows the effect of halving again and again. A ratio table would show this very powerfully:
table.
(The shaded part shows what happens if you continue halving.)

Answers to Activity

1. a. Two cups
b. Four cups
c. Six cups
d. Three and a half (31/2) cups
e. 15 cups
f. 40 cups
2. Four cups

Attachments
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Level Four