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Level Five > Number and Algebra

Strategic Solving Part IV

Achievement Objectives:

Achievement Objective: NA5-3: Understand operations on fractions, decimals, percentages, and integers.
AO elaboration and other teaching resources
Achievement Objective: NA4-7: Form and solve simple linear equations.
AO elaboration and other teaching resources


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

Specific Learning Outcomes: 

solve linear equations with fractions.
use appropriate forms of the equation to solve for x.
use a range of add/sub strategies to solve linear equations.

Description of mathematics: 

Addition and Subtraction, AP (Stage 8)

Required Resource Materials: 
Practice exercises with answers (PDF or Word)

Prior knowledge:

Use a range of number strategies for solving addition and subtraction problems with fractions.


Exercise 1 – Students are not required to know any methods of solving equations to be able to solve these problems. The requirement is that they immediately write the equation in a form that tells them the calculation they need to do (for learning this skill with whole numbers see Task: Strategic Solving Part I). Students will be required to select an appropriate Add / Sub strategy in order to calculate x.

Comments on the Exercises:

Exercise 1
Asks students to solve linear equations involving fractions.  Students need to rearrange the equation and solve for x. To solve for x students will need to convert fractions to a common denominator.

Exercise 2:
Asks students to write word problems for the equations in Exercise 2.Exercise 2 could be used as homework.

StrategicSolvingPart4.pdf23.52 KB
StrategicSolvingPart4.doc156 KB