- using doubling and repeated doubling to multiply by 2, 4 and 8, eg 23 × 4 is double 23 and then double again

 

Doubles

 

Double larger numbers

 

   - using the relationship between multiplication facts, eg 41 × 6 is 41 × 3, which is 123, and then double to obtain 246

 

Hit the button doubles

 

   - factorising the larger number, eg 18 × 5 = 9 × 2 × 5 = 9 × 10 = 90

 

Factor Tree

 

   * create a table or simple spreadsheet to record multiplication facts, eg a 10 × 10 grid showing multiplication facts (Communicating)

 

• use mental strategies to divide a two-digit number by a one-digit number where there is no remainder, including:

   - using the inverse relationship of multiplication and division, eg 63 ÷ 9 = 7 because 7 × 9 = 63

   - recalling known division facts

   - using halving and repeated halving to divide by 2, 4 and 8, eg 36 ÷ 4: halve 36 and then halve again

   - using the relationship between division facts, eg to divide by 5, first divide by 10 and then multiply by 2

 

The games below offer opportunities to demonstrate the strategies above and practise recall of division facts

Division Machine Levels 1 & 2

Division Memory Games

Fruit Shoot Division

Maths Magician Division Game

Division Drag Race Game

Division Bingo

 

   * apply the inverse relationship of multiplication and division to justify answers, eg 56 ÷ 8 = 7 because 7 × 8 = 56 (Problem Solving, Reasoning)

 

Times tables & division facts

 

Numbers with a product of chosen number eg. 60

 

Division Bingo

 

• record mental strategies used for multiplication and division

 

• select and use a variety of mental and informal written strategies to solve multiplication and division problems

 

Thinking Blocks - Multiplication and Division

Model Solving Word Problems

 

Grand Slam Maths Word Problems

 

Word Problems with Katie

 

• check the answer to a word problem using digital technologies (Reasoning)

 

Use mental strategies and informal recording methods for division with remainders

• model division, including where the answer involves a remainder, using concrete materials

explain why a remainder is obtained in answers to some division problems (Communicating, Reasoning)

 

Thinking Blocks - Division - Remainders

 

• use mental strategies to divide a two-digit number by a one-digit number in problems for which answers include a remainder, eg 27 ÷ 6: if 4 × 6 = 24 and 5 × 6 = 30, the answer is 4 remainder 3

 

Adapted Mind -

go to Practise, Division with Remainders

(no need to register)

 

• record remainders to division problems in words, eg 17 ÷ 4 = 4 remainder 1

 

• interpret the remainder in the context of a word problem, eg 'If a car can safely hold 5 people, how many cars are needed to carry 41 people?'; the answer of 8 remainder 1 means that 9 cars will be needed

 

Thinking Blocks - Division - Remainders