Mirror Equations
In this worksheet, students create minor equations, where they rewrite completed questions using inverse operations. It is a great tool to get them to practise turning equations around.
This worksheet is a part of a larger unit where students learn a variety of prealgebra skills, including equivalent equations and inverse operations, to solve multiplication and division problems with missing digits.
Learning goals
- We are learning to find unknown quantities in number sentences involving multiplication and division and identify equivalent number sentences involving multiplication and division.
- We are learning to create and use algorithms using multiple steps to experiment with factors, multiples and divisibility and identify and describe emerging patterns.
- We are learning to recognise and explain the connection between multiplication and division as inverse operations and use this to develop families of number facts.
- We are learning to find unknown quantities in number sentences involving multiplication and division, using the properties of numbers and operations.
Curriculum alignment
AC9M5N10
9
Create and use algorithms involving a sequence of steps and decisions and digital tools to experiment with factors, multiples and divisibility; identify, interpret and describe emerging patterns
AC9M5A01
9
Recognise and explain the connection between multiplication and division as inverse operations and use this to develop families of number facts
AC9M5A02
9
Find unknown values in numerical equations involving multiplication and division using the properties of numbers and operations
ACMNA121
8.4
Find unknown quantities in number sentences involving multiplication and division and identify equivalent number sentences involving multiplication and division
MA3-1WM
old
Describes and represents mathematical situations in a variety of ways using mathematical terminology and some conventions
MA3-2WM
old
Selects and applies appropriate problem- solving strategies, including the use of digital technologies, in undertaking investigations
MA3-3WM
old
Gives a valid reason for supporting one possible solution over another
MA3-8NA
old
Analyses and creates geometric and number patterns, constructs and completes number sentences, and locates points on the Cartesian plane
MA3-RN-01
new
Applies an understanding of place value and the role of zero to represent the properties of numbers
MA3-RN-02
new
Compares and orders decimals up to 3 decimal places
MA3-RN-03
new
Determines percentages of quantities, and finds equivalent fractions and decimals for benchmark percentage values
MA3-MR-01
new
Selects and applies appropriate strategies to solve multiplication and division problems
MA3-MR-02
new
Constructs and completes number sentences involving multiplicative relations, applying the order of operations to calculations
Australian Curriculum covers QLD / SA / WA / NT / TAS / ACT.