☰ Year plan · Mathematics

Clocks, floor plans and fast facts

Week 27 · Time, floor plans and fluency · 3 lessons
3

Fast facts and fact families

Discover Mathematics P3: Term 2, Lessons 101–110
GoalPractise multiplication and division facts quickly using doubles, halves and fact families.
New words
double · two times a numberhalf · one of two equal parts; divide by 2fluency · answering facts quickly and correctly
Explanation

To answer facts quickly we use strategies we trust. Doubles: the double of 7 is 7 × 2 = 14. Halves are the opposite: half of 14 is 14 ÷ 2 = 7, and also 1/2 of 14 is 7. Skip counting helps with fives: 5, 10, 15, 20 shows that 4 × 5 = 20. A fact family gives four facts from one: 7 × 8 = 56 means 8 × 7 = 56, 56 ÷ 7 = 8 and 56 ÷ 8 = 7. Know one, and you know them all. To get faster, practise a few facts every day and try to beat your own score, not someone else’s. Accuracy comes first: speed grows when the facts are really known.

StrategyExample
Double7 × 2 = 14
Skip counting5, 10, 15, 20, so 4 × 5 = 20
Fact family7 × 8 = 56, so 56 ÷ 8 = 7
Halfhalf of 16 is 16 ÷ 2 = 8
Worked examples
NumberDouble (× 2)Half (÷ 2)
8164
14287
204010
Doubles and halves go together. The double of a number is the number × 2, and the half is the number ÷ 2.
5678
The fact triangle for 7, 8 and 56 gives the whole family: 7 × 8 = 56, 8 × 7 = 56, 56 ÷ 7 = 8 and 56 ÷ 8 = 7.
Half of a group: Rahma has 18 pencils and gives half to her cousin. Half of 18 is 18 ÷ 2 = 9 pencils. Two groups of 9 make 18.
Class activity

Beat the clock. Write 20 multiplication and division facts on cards. Ask someone to time you for 2 minutes and count how many you answer correctly. Write your score. Practise the facts you missed and try again the next day. Can you beat your own score? Do not worry about anyone else’s score.

Practice
1
Find the double of 9 and then half of that answer.
2
Find the missing number in the fact triangle.
72?9
3
What is half of 30?
4
Write the four equations in the fact family of 5, 9 and 45.
5
Mariam answers 12 facts every minute. How many facts can she answer in 5 minutes?