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Order of operations

Mathematics

Order of operations

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 ordering activity.

Curriculum indicatorค 1.1 ป.6/8

A look before you play

Sample questions

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

  1. Put the order of operations in the right sequence.

    • addition and subtraction
    • brackets
    • multiplication and division
    • powers
    Read the explanation

    Brackets always come first, then powers, then multiplication and division, then addition and subtraction.

  2. Put the fractions in order from smallest to largest.

    • 1/2
    • 1/3
    • 1/6
    • 2/3
    Read the explanation

    Make the bottoms match first, then compare the tops.

  3. Put the numbers in order from smallest to largest.

    • 0
    • -2
    • 3
    • -5
    Read the explanation

    With negatives, the bigger the figure the smaller the value - it sits further left of zero.

Before you play

Game teaching guide

What children will practise

Practise the order of operations (brackets, powers, multiply and divide, add and subtract), order fractions as in ค 1.1 ป.6/1, order numbers including negatives, and put the steps for finding a mean in order.

What's in the worksheet

4 ordering rounds of 4 cards - Order of operations: brackets, powers, multiplication and division, addition and subtraction - Fractions smallest first: 1/6, 1/3, 1/2, 2/3 - Numbers smallest first: -5, -2, 0, 3 - Steps for the mean: add all values, count them, divide total by count, give the unit

How to use it in class

Use before mixed operations with fractions (ค 1.1 ป.6/7); about 4-5 minutes. - Play as a class on the projector; after round 1 work out 2 + 3 × 4 together to get 14, not 20 - In round 2, rewrite all as sixths: 1/6, 2/6, 3/6, 4/6 - In round 4, if a team counts before adding, accept in discussion that it works just as well - 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: -5 and -2 swapped because 5 is bigger than 2 - Round 1: add/subtract placed before multiply/divide by children used to working left to right - Round 2: 1/6 placed last because 6 is the biggest denominator - Round 4: adding the values and counting them can be swapped, so children who swap lose marks