Strategic Solving Part IV

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Purpose

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

Achievement Objectives
NA4-7: Form and solve simple linear equations.
NA5-3: Understand operations on fractions, decimals, percentages, and integers.
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)
Activity

Prior knowledge:

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

Background:

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.

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