A decimal number has a decimal point followed by digits that show the fractional part.

Partitioning is the act of splitting an object or value down into smaller parts..

An equation is used to show that one number, calculation or expression is equal to another. For example: 3 + 4 = 7

An expression contains one or more values, where each value is separated by an operator. For example: 3 + 4

Explain that decimal numbers with tenths can be composed additively

Maths

Explain that decimal numbers with tenths can be composed multiplicatively

Use known facts and mental strategies to calculate with decimal numbers within and across a whole

Use knowledge of column addition and subtraction to calculate with decimal numbers

Use representations to round a decimal number with tenths to the nearest whole number

In this unit pupils will calculate with decimal numbers using column addition and subtraction. In the future unit pupils will identify hundredths as part of a whole and describe and represent hundredths as a decimal fraction. They will compare and order decimal numbers with hundredths.

In the prior unit pupils identified tenths as part of a whole and describe and represented tenths as a decimal fraction. They counted tenths in different ways and compared and ordered decimal numbers with tenths. In this unit pupils will calculate with decimal numbers using column addition and subtraction.

In this unit pupils will extend their understanding of formal calculation strategies to use column methods to add and subtract with decimal numbers.

Compose and calculate with decimals including column addition and subtraction

Fill in the missing number: 3 + 0.4 = ___

Which part-part-whole model would not represent 0.6 + 3 = 3.6

Which equation would not represent the part-part-whole model.

Look at the image. Match the missing number to the equation where it is required.

Alex is 1 m tall. Andeep is 1.3 m tall. How much taller is Andeep than Alex? Remember to include the correct unit of measure in your answer

Tick the representations that are expressions.

In this part-part-whole model, which value represents the whole?

If 56 was to be partitioned into tens and ones, what would each part be?

Which equations represent this part-part-whole model?

Complete the sentence. {{  }} is one tenth the size of 4.

Write the following mixed number as a decimal.

Explain that decimal numbers with tenths can be composed additively

Lesson outcome