# Strategic Solving Part III

Teaching Notes:

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

### Number Framework Domain and Stage:

Addition and Subtractions AM

### Curriculum Reference:

NA 4-7: Form and solve simple linear equations.

NA 4-2: Understand addition and subtraction of fractions, decimals and integers.

### NP Book Reference:

These exercises and activities follow from the AM teaching episodes from **Book 5**and are for those students who are able to use the number properties of addition and subtraction.

### Prior knowledge: students should be able to…

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

### During these activities students will meet:

- Linear equations with integer solutions
- Using appropriate forms of the equation to solve for x.
- Using a range of add/sub strategies to solve linear equations.

### 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.

### Homework Exercises:

Exercise 2 could be used as homework.