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Sorting data into categories

Organise and represent data with up to three categories by counting objects in each category and sorting categories by quantity

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What a learner can do afterwards

  • Sort objects into 2-3 categories, count each group, and use the counts to find a total or a missing group count
  • Read and create a simple table or list showing category names and counts, and use its recorded counts
  • Order categories from most to fewest or fewest to most

1 · Read

You have sorted objects before. Count each group once per object. Keep its name with its count so someone else knows what the number describes. If you need the exact count, count the objects. To compare groups without exact counts, you can also match objects one to one.

Red7Blue4Yellow1
The named bars show category counts: red 7, blue 4 and yellow 1.
Try it together

Mia counts 8 star stickers, 2 heart stickers and 5 circle stickers. She writes each name with its count: Stars = 8, Hearts = 2, Circles = 5. Include every group. A missing name or count leaves the record incomplete.

Stars = 8Hearts = 2Circles = 5

To read a bar display, find the named category and read the number reached by its bar. The Stars bar reaches 8, so it records 8 stars. Read a written list or table by matching the category name to its number.

Stars8Hearts2Circles5

Most means the largest count; fewest means the smallest. Equal counts mean equal amounts. Here, dogs have the fewest with 1. Cats and birds both have 6, so they tie for most.

Cats = 6Dogs = 1Birds = 6

For most to fewest, start with the largest count and work down. For fewest to most, start with the smallest and work up. With A = 8, B = 1, C = 4, most to fewest is A, C, B. Fewest to most is B, C, A.

Most: A, C, BFewest: B, C, A
Try it together

To find a total, add the counts of the requested groups. Groups with 2, 3 and 4 objects have 2 + 3 + 4 = 9 altogether. If the question asks for only two groups, add only their counts. Keep the category names with the numbers you choose.

Tap each dot and count out loud.
Try it together

When every object belongs to exactly one group, the group counts add to the whole. A set has 14 objects. Two groups have 3 and 4: 3 + 4 = 7. Count on from 7 to 14: 8, 9, 10, 11, 12, 13, 14. Those 7 new counts give the remaining group's count. This is subtraction: 14 - 7 = 7.

Whole = 14Known: 3 + 4 = 7Remaining: 14 - 7 = 7

Sort, count each group, write the counts down, then order the groups from most to fewest.

The readings, questions and flashcards were written for this dataset. The linked video is by Khan Academy.

2 · Watch

Take it off screen

Print a worksheetA4 with an answer key page for grown-ups. No screen, no internet.

Where it sits

Where this leads

Jobs that lean on this skill. Follow one to see everything it is built on.

Then practise

18 questions wait behind this lesson, each with its answer explained. Every answer feeds the sky: stars light as they are learned, and dim when it is time to come back.

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Sorting data into categories · Mathematics, ages 6 to 8 · LightMySky