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Reception Maths · ReceptionChapter 4 · Making and splitting numbers
Reception Maths · Making and splitting numbers · Lesson 4.1

Reception Maths: Parts and wholes

Part of the Reception Maths making and splitting numbers chapter. Chapter overview · whole chapter on one page

4.1

Parts and wholes

Reception
Show a number as two parts that make a whole

Lily has 5 cubes. Some are red and some are blue.

The whole is all the cubes together. The parts are the groups that make the whole. Two parts put together make the whole. The whole is always bigger than either part.

The whole is 5 cubes. The parts are 2 and 3.

Key ideas

  • The whole is all of the things together.
  • The parts make the whole when they are put together.
  • If you know one part and the whole, you can find the other part.
Worked example 4.1.1
Lily has 2 red cubes and 3 blue cubes. How many cubes altogether?

Key words. The whole is all of the things. The parts are the groups that make it.

Method. Put the two parts together, then count them all.

  1. Find the first part: 2. Start with the bigger part and count on.
    2
  2. Count on 3 more. Count on one at a time from the first part.
    2 + 3 = 5
  3. Write the answer. The total is the whole.
    5

Check. Count the whole group one at a time: 5. ✓

Watch out. Count on from the bigger part. The total is always bigger than either part.

Worked example 4.1.2
The whole is 4 cubes. One part is 1 red cube. How many blue cubes are there?
?

Key words. A missing part is the number we add to the known part to make the whole.

Method. The whole is 4. One part is 1. Find the other part.

  1. Start with the whole: 4. The whole has all the things.
    4
  2. Take away the part you know: 1. What is left is the other part.
    4 − 1 = 3
  3. Check by counting on. 1 and 3 must make 4.
    1 + 3 = 4
  4. Write the answer.
    3

Check. Count on from 1 to 4: 3 more. ✓

Watch out. Count on from the part you know, to reach the whole.

Worked example 4.1.3
Ben has 3 red cubes and 2 blue cubes. How many cubes altogether?

Key words. The whole is all of the things. The parts are the groups that make it.

Method. Put the two parts together, then count them all.

  1. Find the first part: 3. Start with the bigger part and count on.
    3
  2. Count on 2 more. Count on one at a time from the first part.
    3 + 2 = 5
  3. Write the answer. The total is the whole.
    5

Check. Count the whole group one at a time: 5. ✓

Watch out. Count on from the bigger part. The total is always bigger than either part.

Watch out

Watch out: the whole is always the biggest number. A part can never be bigger than the whole.

Exam tip

Grown-up tip. Use five cubes or buttons, two in one hand and three in the other. Ask: “How many altogether? How many in each hand?” Then hide one hand and ask how many are in it.

Exercise 4A  Parts and wholes

Non-calculator
1
FA red cube and 2 blue cubes. How many cubes altogether?
2
F2 red cubes and 3 blue cubes. How many cubes altogether?
3
FThe whole is 4 cubes. 1 cube is red. How many are blue?
?
4
FThe whole is 6 cubes. 2 cubes are red. How many are blue?
?
5
FThe whole is 7 cubes. 3 cubes are red. How many are blue?
?
6
FThe whole is 8 cubes. 5 cubes are red. How many are blue?
?
7
FWhat is 2 and 4 put together?
8
FWhat is 3 and 5 put together?
9
PSSam has 9 stickers. 4 are stars and the rest are hearts. How many hearts does he have?
10
PSRuby has 10 cubes. 6 are red and the rest are blue. How many are blue?
?
11
PSAli has 3 red cubes and 4 blue cubes. How many cubes altogether?
12
RLee says that 2 and 2 make 5. Is he right? Explain.

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