Explain that decimal numbers with tenths can be composed additively | Maths

Starter quiz

Tick the representations that are expressions.

5 + 0.4 ✓

5 + 0.4 = 5.4

0.4 + 5 ✓

5 = 5.4 - 0.4
In this part-part-whole model, which value represents the whole?

2

5

7 ✓
If 56 was to be partitioned into tens and ones, what would each part be?

5 and 6

50 and 6 ✓

60 and 5

5 and 0.6
Which equations represent this part-part-whole model?

40 + 9 = 49 ✓

9 + 49 = 40

9 + 40 = 49 ✓

40 + 49 = 9
Complete the sentence. ______ is one tenth the size of 4.

'0.4' ✓
Write the following mixed number as a decimal.

'3.8' ✓

Fill in the missing number: 3 + 0.4 = ___

3.4 ✓

0.34

34
Which part-part-whole model would not represent 0.6 + 3 = 3.6
What is the missing part: 5.6 = 5 + ___

6

0.6 ✓

6.0

1
Which equation would not represent the part-part-whole model.

7.2 = 7 + 0.2

7.2 − 7 = 0.2

0.2 = 7 − 7.2 ✓

0.2 + 7 = 7.2
Look at the image. Match the missing number to the equation where it is required.

A

⇔

4.6 − ___ = 0.6 ✓

B

⇔

4 = 4.6 − ___ ✓

C

⇔

0.6 = ___ − 4 ✓
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

'0.3 m' ✓

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Use part-part-whole models to partition decimal numbers into the whole number and fraction parts.
Number with whole number and decimal parts can be represented as addition and subtraction equations.
The whole number and decimal parts of a number can be represented on a number line.

Pupils understand the equals sign as 'where the answer is' rather than equality between expressions.

Spend time moving addition and subtraction expressions to either side of the equals sign using numbers within 10 before moving to tenths.

Decimal number - A decimal number has a decimal point followed by digits that show the fractional part.
Partition / partitioning - Partitioning is the act of splitting an object or value down into smaller parts..
Equation - An equation is used to show that one number, calculation or expression is equal to another. For example: 3 + 4 = 7
Expression - An expression contains one or more values, where each value is separated by an operator. For example: 3 + 4