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Sorting problems and methods

Mathematics

Sorting problems and methods

An AR classroom game for Grade 6. Learners can aim with their hands at the camera or play by tapping the screen.

This set has 4 rounds in an interactive sorting activity.

A look before you play

Sample questions

A few real prompts from the game to help you choose an activity for your class.

  1. Sort the sums into groups.

    Sort into

    • uses a speed formula
    • uses an area formula
    • how far does the car go in 3 hours?
    • what is the area of a room 4 by 5?
    • how long does a 100 km journey take?
    • what is the area of a rectangular field?
    Read the explanation

    Speed problems and area problems use different formulas.

  2. Sort the numbers into groups.

    Sort into

    • whole number
    • not a whole number
    • -5
    • 0.5
    • 12
    • 3/4
    Read the explanation

    A rational number can be written as a fraction of whole numbers.

  3. Sort the values into groups.

    Sort into

    • less than 1
    • more than 1
    • 50%
    • 150%
    • 0.75
    • 1.25
    Read the explanation

    Compare with one - a hundred per cent is exactly one whole.

Before you play

Game teaching guide

What children will practise

Choose the right method for a problem (speed or area formula), sort integers from non-integers, compare percentages and decimals with 1, and sort shapes with and without parallel sides.

What's in the worksheet

4 sorting rounds, dragging 4 cards into 2 groups - Speed or area formula: how far a car goes in 3 hours, the area of a 4 by 5 room, how long a 100 km journey takes - Integer or not: -5, 0.5, 12, 3/4 - Less or more than 1: 50%, 150%, 0.75, 1.25 - Parallel sides or not: parallelogram, triangle, trapezium, circle

How to use it in class

Use after speed and area, to practise reading which formula a problem needs; about 4-5 minutes. - Play as a class on the projector; in round 1 have children find key words such as hours, kilometres and area - In round 3, stress that 100% equals 1, then compare 150% and 50% - If negatives have not been taught, explain before round 2 that -5 is a whole number below zero - Some items extend beyond primary indicators. Use them for discussion or preparation for Grade 7, not to judge attainment - Play it linked to the class to record results in the mark book.

Common sticking points

- Round 3: 50% may go in the more-than-1 group because 50 is a big number - Round 2: -5 may be thought not to be an integer because of the minus sign - Round 1: the card about a car in 3 hours gives no speed, so children may hesitate over which formula it needs