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K2 · Mathematics · Statistics

Sorting and asking questions

Sorting collections of objects by colour, size or type, and answering simple questions about which group has the most.

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These lessons were written around Australian Curriculum strands and matched to Singapore levels by age (Primary 1 is the first year of primary school). They are not aligned to MOE syllabuses or the PSLE, so check them against the syllabus your child is working towards.

Learning goals

Learners will

  • Sort a collection of objects into groups by colour, size or type.
  • Explain how a collection has been sorted.
  • Count the groups to answer questions such as 'Which group has the most?'

Success looks like

  • I can sort things into groups, such as all the red ones together.
  • I can tell you my sorting rule.
  • I can count each group and say which group has the most and which has the fewest.

The big idea

Sorting means putting things that are alike into groups. It is one of the first steps in working with data, because it helps us organise what we see and answer questions about it.

Tip a mixed collection onto the table. Ask, 'How could we sort these?' Children often notice colour first. Give them bowls and let them put all the reds together, all the blues together and so on.

Ask your child to tell you their sorting rule: 'I sorted by colour.' Then mix everything up and sort again a different way, such as by size (big and small) or by type (cars and blocks). The same things can be sorted in many ways.

Once things are sorted, we can ask questions. Count each group out loud. 'How many red? How many blue?' Then ask, 'Which group has the most? Which has the fewest?'

Lining groups up in rows next to each other makes them easy to compare. The longest row has the most, as long as the objects are about the same size and spaced evenly.

Let your child ask a question too, such as 'Are there more cars or more blocks?' Then sort and count to find out.

  • Sort by colour, size or type.
  • Tell the sorting rule.
  • Count each group to find the most and the fewest.

Worked examples

Sorting socks by colour

There are 3 white socks, 5 black socks and 2 striped socks in a pile. Sort them. Which group has the most?

  1. Make three groups: white, black and striped.
  2. Count each group: white 3, black 5, striped 2.
  3. 5 is the biggest number.

Answer: The black socks group has the most, with 5 socks.

Finding the sorting rule

One bowl has big buttons of many colours. The other bowl has small buttons of many colours. What was the sorting rule?

  1. Look at what is the same in each bowl.
  2. The colours are mixed, so it is not by colour.
  3. All the buttons in one bowl are big and all in the other are small.

Answer: The buttons were sorted by size.

Which group has the fewest?

A toy box has 4 cars, 7 blocks and 1 ball. Which group has the fewest?

  1. Sort the toys into cars, blocks and balls.
  2. Count: cars 4, blocks 7, balls 1.
  3. 1 is the smallest number.

Answer: The balls group has the fewest, with just 1.

Practice check

Have a go, then check your answers. Each answer comes with an explanation.

  1. 1.Which of these could be a sorting rule for a pile of blocks?
  2. 2.There are 4 red apples and 2 green apples. Which colour has more apples, red or green?
  3. 3.Groups of toys: 3 cars, 6 dolls, 2 balls. Which group has the most?
  4. 4.Groups of fruit: 5 bananas, 1 pear, 3 oranges. Which group has the fewest?
  5. 5.Count the blue buttons: ● ● ● ● ●. How many are there?
  6. 6.A spoon, a fork and a knife go in one group. A cup, a mug and a glass go in another group. What was the sorting rule?
  7. 7.Can the same pile of buttons be sorted in more than one way? Answer yes or no.
  8. 8.There are 3 cats and 3 dogs. Which sentence is true?
Answer guide for parents
  1. Which of these could be a sorting rule for a pile of blocks?

    by colour — Blocks can be sorted by something we can see, such as colour.

  2. There are 4 red apples and 2 green apples. Which colour has more apples, red or green?

    red — 4 is more than 2, so there are more red apples.

  3. Groups of toys: 3 cars, 6 dolls, 2 balls. Which group has the most?

    dolls — 6 is the biggest number, so the dolls group has the most.

  4. Groups of fruit: 5 bananas, 1 pear, 3 oranges. Which group has the fewest?

    pear — 1 is the smallest number, so the pear group has the fewest.

  5. Count the blue buttons: ● ● ● ● ●. How many are there?

    5 — Touch each one as you count: 1, 2, 3, 4, 5.

  6. A spoon, a fork and a knife go in one group. A cup, a mug and a glass go in another group. What was the sorting rule?

    things we eat with and things we drink from — One group is things we eat with and the other is things we drink from. That is sorting by type.

  7. Can the same pile of buttons be sorted in more than one way? Answer yes or no.

    yes — Buttons could be sorted by colour, by size or by number of holes. There are many ways to sort.

  8. There are 3 cats and 3 dogs. Which sentence is true?

    There are the same number of cats and dogs — 3 and 3 are the same number, so neither group has more.

Watch out for

  • Changing the sorting rule halfway through (some by colour, some by size). Ask your child to say the rule out loud before starting and check each object against it.
  • Thinking the group that takes up the most space has the most. Count each group, or line them up one-to-one, to compare fairly.
  • Believing there is only one right way to sort. Celebrate different sorting rules for the same collection.

Tips for parents

  • Everyday jobs are perfect sorting practice: pairing socks, putting away cutlery, packing away toys.
  • Ask 'How did you sort them?' so your child learns to explain their thinking.
  • Keep collections small (10 to 15 objects) so counting each group stays manageable.

Go further

  • Sort the family's shoes by type or by colour and find which group has the most.
  • Ask family members a question with two choices, such as 'apples or bananas?', and use pegs or blocks to show each answer.
  • Play 'Guess my rule': sort some objects without saying how, and let your child work out the rule.

About 25 minutes

You'll need

  • A mixed collection: buttons, blocks, toy cars, socks or pasta shapes
  • Bowls, plates or paper circles to hold groups
  • Coloured pencils or crayons
  • Paper for drawing a simple record of the groups

Key words

sort
Put things that are alike into the same group.
group
A set of things that belong together.
rule
The way you decided to sort, such as 'by colour'.
most
The biggest number; the group with the most has the greatest number of things.
fewest
The smallest number; the group with the fewest has the least number of things.
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Next steps (Primary 1)