Progression 4/5
How is multiplication and division connected?
They are inverse operations (opposite of each other).
Complete the fact:
8 x 5 = _____
40
There are 48 stickers. They are shared equally among 6 students. Should you use multiplication or division?
Division
A baker made 72 cupcakes and packed them equally into 9 boxes. How many cupcakes go in each box?
72 ÷ 9 = 8 cupcakes
Which square number is represented by 5 × 5?
25
Emily has 3 baskets. Each basket has 4 oranges. Use repeated addition to find the total.
4 + 4 + 4 = 12
If you know 5 × 4 = 20, what is 6 × 4?
24 (one more group of 4)
Use partitioning to solve 23 × 3.
(20 × 3) + (3 × 3)
60 + 9 = 69
A teacher buys 4 packs of pencils. Each pack contains 12 pencils. She gives away 10 pencils. How many pencils does she have left?
4 × 12 = 48
48 − 10 = 38 pencils
Write 2 × 2 × 2 × 2 using exponents.
2⁴
Complete the fact family:
3 × 7 = 21
7 × 3 = 21
21 ÷ 3 = 7
21 ÷ 7 = 3
Use the split strategy to solve 7 × 6.
(5 × 6) + (2 × 6)
= 30 + 12
= 42
Factorise to solve 24 × 5 mentally.
(12 × 2) × 5
12 × 10 = 120
A cyclist rides 12 km each day for 5 days. How far does the cyclist travel altogether?
12 × 5 = 60 km
Convert ¾ to a decimal.
0.75
There are 12 cookies. If you take away groups of 3, how many groups can you make?
12 − 3 − 3 − 3 − 3 = 0
4 groups
Solve: 22 ÷ 5
What is the remainder?
4 remainder 2 (4 R2)
Estimate 39 × 6 before solving exactly.
40 × 6 = 240 (estimate)
Estimate 197 ÷ 10 before solving. Why is estimation useful?
Approximately 20.
Estimation helps check if the final answer is reasonable.
Find 50% of 80
40
There are 5 boxes with 4 pencils in each box.
Write the:
- Multiplication sentence
- Repeated addition sentence
- Draw an array
5 x 4 = 20
4 + 4 + 4 + 4 + 4 = 20
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What is a smart way to solve 9 × 6 in your head?
10 × 6 = 60, then subtract 6.
60 − 6 = 54
Solve 36 × 5 using a strategy of your choice and explain why it is efficient.
36 × 10 = 360
360 ÷ 2 = 180
This is efficient because multiplying by 5 is the same as multiplying by 10 and halving.
A school orders 15 boxes of markers. Each box contains 24 markers. Teachers use 95 markers during the term. How many markers remain?
15 × 24 = 360
360 − 95 = 265 markers remain
The prime factorisation of a number is 2² × 3 × 5. What is the number?
4 × 3 × 5 = 60