Gr 8 (Numbers)

Key Topics and Skills:

Whole Numbers:

• Properties: Division by 0, prime factors, LCM, HCF

• Calculations: Addition, subtraction, multiplication, division, estimation, calculators

• Problem-solving: Ratio, rate, sharing, increasing/decreasing, financial contexts

Integers:

• Calculations: Addition, subtraction, multiplication, division, squares, cubes, roots

• Properties: Commutative, associative, distributive, additive/multiplicative inverses

• Problem-solving: Addition, subtraction, real-world contexts

WHOLE NUMBERS

Properties of whole numbers

• Revise the properties done in previous grades

• Recognise the division property of 0, whereby any number divided by 0 is undefined

Calculations using whole numbers 

• Revise Calculations using all four operations on whole numbers, estimating and using calculators where appropriate

Calculation techniques

• Use a range of strategies to perform and check written and mental calculations with whole numbers including:
  - Estimation
  - Adding, subtracting and multiplying in columns
  - Long division
  - Rounding off and compensating
  - Using a calculator

Multiples and Factors Revise:

• Prime factors of numbers to at least 3-digit whole numbers

• LCM and HCF of whole numbers, by inspection or factorisation 

Solving Problems Revise:

• Solve problems involving whole numbers, including:

-  Comparing two or more quantities of the same kind (ratio)
-  Comparing two quantities of different kinds (rate)
-  Sharing in a given ratio where the whole is given
-  Extend to increasing or decreasing of a number in a given ratio
-  Solve problems that involve whole numbers, percentages and decimal fractions in financial contexts

INTEGERS

Calculations with integers

• Revise addition and subtraction with integers

• Multiply and divide with integers

• Perform calculations involving all four operations with integers

• Perform calculations involving all four operations with numbers that involve squares, cubes, square roots and cube roots of integers

Properties of integers

• Recognise and use commutative, associative and distributive properties of addition and multiplication for integers

• Recognise and use additive and multiplicative inverses for integers