# NA6-6: Generalise the properties of operations with rational numbers, including the properties of exponents.

Teaching resources for this Achievement Objective

Level Six

Number and Algebra

Problem solving activities

Use the numbers facts with digits to solve a problem

Devise and use problem solving strategies to explore situations mathematically (guess and check, be systematic, look for patterns, think, use algebra).

Level Six

Number and Algebra

Problem solving activities

Use a calculator efficiently

Devise a strategy to solve a number problem involving remainders.

Devise and use problem solving strategies to explore situations mathematically (be systematic)

Level Six

Number and Algebra

Problem solving activities

Devise and use problem solving strategies to explore situations mathematically (be systematic, make a list).

Level Six

Number and Algebra

Problem solving activities

Guess and check the solution to a number problem;

Explain the effect of "carry-overs" in addition problems.

Level Six

Number and Algebra

Problem solving activities

- Identify numbers divisible by 5.
- Count large but relatively straightforward sets.
- Devise and use problem solving strategies to explore situations mathematically (be systematic, think, draw a diagram).

Level Six

Number and Algebra

Problem solving activities

Identify numbers divisible by 9.

Count large but relatively straightforward sets.

Devise and use problem solving strategies to explore situations mathematically (be systematic, think).

Level Five

Level Six

Number and Algebra

Secondary activities

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

explore a pattern involving powers

generalise a numberr pattern

explore a generalisation involving decimals