Equal Groups
Class 4 · Mathematics
4 ideas in Class 4 Mathematics, explained in plain words, with games and quizzes to practise.
Multiples and Common Multiples
Part of: Jumps and multiples
When you jump 5 steps at a time from 0, you land on 5, 10, 15, 20 and so on. These landing numbers are the multiples of 5. If two jumpers with different step sizes land on the same number, that number is a common multiple of both. For example, 12 is a common multiple of 3 and 4.
Why it matters. Multiples are the base for the times tables, for fractions and for divisibility later. Children who see them as equal jumps understand tables instead of just memorising them.
Try it in two minutes
- Draw a number line from 0 to 30 on paper, or make chalk boxes on the floor.
- Ask your child to hop 3 steps at a time and say each landing number out loud.
- Now hop 2 steps at a time. Ask: which numbers did both hops land on?
Try at home. Ask your child to find three common multiples of 2 and 5 using a number line and say what they notice.
Multiplying by Breaking into Tens and Hundreds
Part of: Multiplying with equal groups
To find 14 groups of 6, split 14 into 10 and 4. Ten groups of 6 make 60 and four groups of 6 make 24, so the total is 84. The same idea works for bigger numbers, such as 132 groups of 6 as 100 groups, 30 groups and 2 groups. Multiplying by 10 or 100 just makes the answer 10 or 100 times larger.
Why it matters. Splitting numbers into easy parts lets children multiply in their head and builds the base for the standard written method. Without it, big products feel like a wall of memorised tables.
Try it in two minutes
- Say: a box holds 6 biscuits and we have 13 boxes. How many biscuits?
- Ask your child to work out 10 boxes first, then 3 boxes, then add the two answers.
- Now try 30 boxes and ask how it connects to 3 boxes.
Try at home. Pick a number between 10 and 30 and a single digit. Ask your child to split the bigger number and multiply in parts.
Dividing into Equal Groups
Part of: Dividing into equal groups
Division means sharing equally or making equal groups. To find how many boxes of 4 you can fill from 52 pencils, you can take away 10 boxes (40 pencils) first, then 3 more boxes (12 pencils). That makes 13 boxes. If some pencils are left that cannot fill a box, they are the remainder.
Why it matters. Children who take away easy groups first, such as tens, understand what division really does. Memorised steps without this idea break down when the numbers change.
Try it in two minutes
- Give your child 30 small objects such as beans or buttons.
- Ask: if we put 4 in each bowl, how many bowls can we fill and how many are left?
- Ask them to check the answer by multiplying the bowls by 4 and adding the leftovers.
Try at home. Ask your child to make a story problem for 64 shared among 4 and solve it by taking away groups.
Doubling and Ones-Digit Patterns
Part of: Doubling and number patterns
Doubling means making two equal groups, so double of 35 is 70. Every doubled number is even, so its ones digit can only be 0, 2, 4, 6 or 8. In a times table the ones digits also repeat. In the 8s table they go 8, 6, 4, 2, 0 and then start again.
Why it matters. Spotting patterns lets children check answers and guess ahead instead of counting every time. It builds confidence with the times tables.
Try it in two minutes
- Pick numbers like 12, 25 and 37 and ask your child to double each one.
- Ask: what do you notice about the last digit of every answer?
- Write out the 4s table and ask them to say what happens to the ones digit.
Try at home. Ask your child to find which ones digits appear in the 6s table and which never appear.
What your child will practise
- Doubling and Ones-Digit Patterns: Desert Puzzle (Clue Puzzle)
- Multiples and Common Multiples: Desert Quick Fire (Quick Fire)
- Multiples and Common Multiples: Frog Sort (Sort It Out)
- Multiples and Common Multiples: Ocean Puzzle (Clue Puzzle)
- Multiplying by Breaking into Tens and Hundreds: Number Quest (Collect the Answer)
- Quiz: Dividing into Equal Groups (8 questions)
- Quiz: Doubling and Ones-Digit Patterns (8 questions)
- Quiz: Multiples and Common Multiples (8 questions)
- Quiz: Multiplying by Breaking into Tens and Hundreds (8 questions)