1. Use the distributive rule in arithmetic 5c
3. Algebra and Bidmas
Use the distributive rule in arithmetic c
Use the distributive rule in algebra c
Use the order of operations c
Use the order of operations with algebra a
Work with diagrammatic representations of expressions 6c
Apply the order of operations to substitution in simple cases 6c
Correctly calculate 2n and n² b
Use the correct order of operations when substituting in simple whole numbers into algebraic expressions a
Reference material
Text book: section 7.2
MEP: 8.12 Formulae section 1 and 2

2. When you break 32 x 8 into 30 x 8 + 2 x 8
Distributive law
When you break 32 x 8 into 30 x x 8
In algebra this looks like 3a + 4a = 7a 
20 May 2019

3. Brackets Indices (powers) Division Multiplication Addition Subtraction
Substitution – Algebra and bidmas including (2n and n²)
calculations are carried out in this order
Brackets
Indices (powers)
Division
Multiplication
Addition
Subtraction so
8 + 4 x 3 = (8 + 12)
3(7 + 2) = 27
4 + 6²÷ 9 = ( ÷ 9 = 4 + 4)
35 – (8 – 3) ² = 10
20 May 2019

4. Substitution – Algebra and bidmas including (2n and n²)
Evaluate 4p + 6 when i) p = ii) p = iii) p = 0
p = 5
4p + 6
4 x p + 6
4 x 5 + 6 =
= 26
p = -3
4p + 6
4 x p + 6
4 x =
= -6
p = 0
4p + 6
4 x p + 6
4 x 0+ 6
= 0 + 6
= 0
20 May 2019

5. Evaluate 2n – 21 when i) n = 7 ii) n = 12 iii) n = -3
2 x n – 21
2 x 7 – 21
= 14 – 21
= -7
n = 12
2n – 21
2 x n – 21
2 x 12 – 21
= 24 – 21
= 3
n = -3
2n – 21
2 x n – 21
2 x -3 – 21
= -6 – 21
= -27
20 May 2019

6. Evaluate 2n and n² when i) n = 3 ii) n= 7 iii) n = -4
2n means 2 x n n² means n x n
2n = 2 x n n² = n x n
= 2 x = 3 x 3
2n = n² = 9
ii) n = 7
2n means 2 x n n² means n x n
2n = 2 x n n² = n x n
= 2 x = 7 x 7
2n = n² = 49
iii) n = -4
2n means 2 x n n² means n x n
2n = 2 x n² = n x n
= 2 x = -4 x -4
2n = n² = 16
20 May 2019