Nurturing Excellence Together

  1. Maths Division Page

Learning to Divide (÷)

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Learning Objective

Clip to support understanding

  • understand and use the vocabulary of division

 

  • partition two-digit and three-digit numbers into multiples of 100, 10 and 1 in different ways;

 

  • recall multiplication and division facts to 12 × 12, recognise multiples of one-digit numbers and divide multiples of 10 or 100 by a single-digit number using their knowledge of division facts and place value; e.g. 180 ÷ 9= (18 ÷ 9=2 so, 180 ÷9=20 or, 20x9=180)

Video (two methods are shown-counting up in multiples or using knowledge of times tables)

  • know how to find a remainder working mentally – for example, find the remainder when 48 is divided by 5; (multiples of 5 end in 5 or 0 and the number before 48 that ends in one of these digits is 45 so a remainder would be 3- no calculation should be needed).

Video

  • Understand the phrases associated with division

e.g. 6÷3

six divided by three, six shared between three, how many 3’s in 6.

 

Video

  • understand division as repeated subtraction;

 

  • estimate how many times one number divides into another – for example, how many sixes there are in 47, or how many 23s there are in 92;

 

  • multiply a two-digit number by a single-digit number mentally;

        Q. Why multiply?

        X is the opposite or inverse of ÷

 

  • repeated subtraction using a bus stop/column method

 

  • Sharing equally

6 sweets shared between 2 people, how many do they       each get? 

 

  • Sharing along a number line

 

Children can count up to their final number of start at that number and count back to 0.

Video

  • Partitioning

 

81 ÷3

 

 

60÷3=20         21÷3=7       final answer =27

 

Partition the 81 into two number s that are multiples of 3 (60 and 21)  

Video (partitioning is the second method on this clip)

  • Dividing by 1 digit using the ‘bus stop’ method

 

Once a child has developed good number sense, they will be able to partition and solve the calculation mentally, without any need to record their working out on paper.

Video (see the first method on this clip for the bus stop method and then the second method for partitioning which should lead on to mental calculating)

  • Dividing by 2 digits- by repeated subtraction in a ‘bus stop’ or taking ‘chunks’ away

Video

  • Dividing by 2 digits using the ‘bus stop method’ and long division

Video

  • Dividing decimals

 

  • Dividing fractions

 

  • Dividing mixed fractions