Year 5 Term 3

Key Concepts – Number – Multiplication and division

• Multiplication is the same as repeated addition. Division is repeated subtraction.
• Multiplication is commutative for any number of multiplicands. Division is not commutative
• When multiplying two positive whole numbers, the answer will always be larger than either of the starting numbers.
• When you divide a whole number by another whole number, the answer will always be smaller than the original member
• Can see the connection between factors, multiples and prime numbers and not separate ideas to learn.
• Factors and multiples are connected ideas ie 24 is a multiple of 6 and 6 is a multiple of 24.
• Fractions and division are connected ideas
• Children are able to select the correct operation and the most efficient method to answer a question
• Children are comfortable with prime numbers, prime factors and composite numbers.
• Children know the prime numbers to 19
• Children understand the role of 0 as a place holder.

Key Vocabulary

Product

Multiply

Divide

Array

Factor pairs

Share

Divide

Divisible

Remainder

Grid method

chunking

Key Concepts –Topic- Line graphs and information tables

• Children understand that continuous data that can be measured, and has an infinite number of possible answers, whereas discrete data can be counted
• Children should know what the scale is on a chart and that it may not be 1
• The scale on a graph must remain divided into consistent, equal increments.
• Questions can be written to be answered from a given set of data or a graph.
• Children understand that data collection should be fair
• Line graphs should move forward in time.
• Children can create questions based on a graph or set of data.
• Children can apply addition and subtraction skills to find differences.

Key Vocabulary

Scale

Axis

Data

Count

Discrete

Continuous

Frequency

Represent

Most popular

Common Misconceptions – Multiplication and division

Children do not understand that division is not commutative and therefore place the numbers in the wrong order

Children do not take into account place value when multiplying.

Children do not use 0 as a place holder when multiplying by a power of 10.

Multiplying by a power of 10 does not just mean “adding a 0”.

1 is not a prime number.

Common Misconception – Line Graphs and Information Tables

Children confuse continuous and discrete data.

Children confuse the x and y axis.

Children create axes that fit the data rather than