Multiplication and division

Question 1

What is fizz and buzz?

Answer 1

This is good practice for times tables. If you are working on the 3’s and 5’s, then start counting around the class. Each time a student reaches a multiple of 3 they shout ‘fizz’, and a multiple of 5 is ‘buzz’. 15 is ‘fizzbuzz‘ because it is in both multiplication tables.

Question 2

What are square numbers? Such as 4 squared

Answer 2

A number multiplied by itself so 4 x 4 = 16

Question 3

What is multiplication and division?

Answer 3

Doubling and halving

Question 4

What is multiplication key vocabulary ?

6 x 3 = 18

Answer 4

6 - factor/multiplier
3 - factor/multiplicand
18 - product

Question 5

What is a division key terms?

12 / 3 = 4

Answer 5

Dividened / divisor = quotient

Question 6

What is the commutative laws in multiplication?

Answer 6

The “Commutative Laws” say we can swap
numbers over and still get the same answer
a x b = b x a
(2 x 4 = 4 x 2)

Question 7

What’s the “Associative Laws”?

Answer 7

The “Associative Laws” say that it doesn’t matter how we group the numbers (i.e. which we calculate first)

a x (b x c) = (b x a) x c

(3 x 4) x 5 = 12 x 5 = 60 
3 x (4 x 5) = 3 x 20 = 60

Question 8

What is The Distributive Law?

Answer 8

3 lots of (2+4) is the same as 3 lots of 2 plus 3 lots of 4

So, the 3x can be distributed across the 2+4 into 3 x 2 and 3 x 4

Question 9

What is Aggregation?

Answer 9

Multiplication as repeated addition

4 lots of 3 makes 12
2 + 2 + 2 = 6
2 x 3 = 6

Is repeated addition - multiplication means so many sets of or so many lots of. How many are there? 3 + 3 + 3 + 3 + 3 becoming the multiplication 5 x 3 = 15
15 is the product of 5 x 3

Question 10

Multiplication as array for instance 12 counters 3 across and 4 down

Answer 10

This is 4 multiplication by 3

Question 11

What’s the key words of multiplication

Answer 11

Groups of
Lots of
Multiplied by  
Times 
So many sets of so many

Question 12

Multiplication as the Inverse of Division keywords..

Answer 12

Undoing and reversing
a x b = c then c ÷ b = a
8 x 7 = 56 then 56 ÷ 7 = 8

Question 13

What is multiplication?

What is division?

Answer 13

Multiplication is addition

Division by Repeated Subtraction chunking

Question 14

What are the common misconceptions for multiplication and division?

Answer 14

X always makes a number bigger?
5 x ½ = 2.5 
• Division always makes a number smaller?
8 ÷ 0.5 = 16 
• Place value errors
• Multiplying by 10/ 100, etc

Question 15

How can mental multiplication be done?

Answer 15

1. Using partition
2. Using factors
3. Using doubling/Halving

Question 16

How can we do mental division?

Answer 16

1. Constant ratio
2. Using factors
3. Using grouping/partitioning

Question 17

What’s the written method of multiplication?

Answer 17

Grid method
Long multiplication
Short multiplication

Question 18

What’s the written method for division?

Answer 18

Chunking
Efficient chunking
Long division
Short division

Question 19

What’s the Distributive law?

Answer 19

Distribute a division across addition and subtraction.
(a + b) / c = (a / c) + (b / c)
(a + b) / c = (a / c) - (b / c)

E.g 
45/3
(30 + 15) /3
(30 / 3) + ( 15 / 3)
10 + 5 = 15