Cut and Paste Algebra

Purpose

These exercises and activities are for students to use independently of the teacher to practice number properties

Specific Learning Outcomes

solve problems using doubling and halving, and other proportional adjustments

Description of Mathematics

Multiplication and division, AP (Stage 8)

Required Resource Materials

Practice exercises with answers (PDF or Word)

Activity

Prior knowledge

Recall basic facts.
Be aware of the associative rule.

Background

In this activity students learn to use the doubling and halving strategy to solve multiplication problems involving decimals and fractions.

Comments on the Exercises

Exercise 1
Asks students to solve multiplication problems using the doubling and halving strategy. Students double the 5 in the problem to 10.

Exercise 2
Asks students to solve multiplication problems using the doubling and halving strategy. In this exercise students multiply by 4 and divide by 4.

Exercise 3
Asks students to solve multiplication problems involving fractions by using the doubling and halving strategies.

Exercise 4
Asks students to explain the formula that generalises the doubling and halving strategy with fractions and solve multiplication problems.

Exercise 5
Asks students to explore rules for division problems

Related Resources

Numeracy Project book reference:

These activities can be used to follow the teaching episodes based on the Cut and Paste activity in Book 6 and are for those students who are able to use the associated number properties.

Related activities:

Figure it Out Multiplicative Thinking L3/4 page 6/7 “Fair Shares”
Practice activity – matching three cards (question, simplified question and answer.)
Practice activity – “Using Mates”
For both these activities the cards are run off on coloured paper and cut up.
Students can work in pairs, alone or in a group.
Students need to be aware that there may be more than one way of organising the cards.

Attachments

CutAndPasteToAlgebra.pdf87.89 KB

CutAndPasteToAlgebra.doc68 KB