Doing Division With Multiplication
In this worksheet, student dig into the relationship between multiplication and division, using the strategies they have already developed in multiplication to solve division questions.
It is a part of a larger unit where students develop their skills with arrays, repeated addition and skip counting into strategies to begin multiplication and division questions.
Learning goals
- We are learning to recall multiplication facts of two, three, five and ten and related division facts.
- We are learning to solve multiplication problems using mental and written strategies and calculators to check our answers.
- We are learning to recall multiplication facts for twos and apply to related division facts using doubling and halving.
- We are learning to multiply and divide one- and two-digit numbers in word problems using a variety of strategies.
- We are learning to solve problems involving modelling addition, subtraction, multiplication and division, using different strategies.
- We are learning to recall multiplication facts for 3, 4, 5 and 10 and apply this to related division facts.
Curriculum alignment
AC9M3A03
9
Recall and demonstrate proficiency with multiplication facts for 3, 4, 5 and 10; extend and apply facts to develop the related division facts
AC9M3N06
9
Use mathematical modelling to solve practical problems involving additive and multiplicative situations including financial contexts; formulate problems using number sentences and choose calculation strategies, using digital tools where appropriate; interpret and communicate solutions in terms of the situation
AC9M3N04
9
Multiply and divide one- and two-digit numbers, representing problems using number sentences, diagrams and arrays, and using a variety of calculation strategies
AC9M2A03
9
Recall and demonstrate proficiency with multiplication facts for twos; extend and apply facts to develop the related division facts using doubling and halving
ACMNA057
8.4
Represent and solve problems involving multiplication using efficient mental and written strategies and appropriate digital technologies
ACMNA056
8.4
Recall multiplication facts of two, three, five and ten and related division facts
MA2-6NA
old
Uses mental and informal written strategies for multiplication and division
MA2-3WM
old
Checks the accuracy of a statement and explains the reasoning used
MA2-2WM
old
Selects and uses appropriate mental or written strategies, or technology, to solve problems
MA2-1WM
old
Uses appropriate terminology to describe, and symbols to represent, mathematical ideas
MA1-6NA
old
Uses a range of mental strategies and concrete materials for multiplication and division
MA1-1WM
old
Describes mathematical situations and methods using everyday and some mathematical language, actions, materials, diagrams and symbols
MA1-2WM
old
Uses objects, diagrams and technology to explore mathematical problems
MA1-3WM
old
Supports conclusions by explaining or demonstrating how answers were obtained
MA1-4NA
old
Applies place value, informally, to count, order, read and represent two- and three-digit numbers
MA2-MR-02
new
Completes number sentences involving multiplication and division by finding missing values
MA2-MR-01
new
Represents and uses the structure of multiplicative relations to 10 × 10 to solve problems
MA2-AR-02
new
Completes number sentences involving addition and subtraction by finding missing values
MA2-AR-01
new
Selects and uses mental and written strategies for addition and subtraction involving 2- and 3-digit numbers
MA2-RN-02
new
Represents and compares decimals up to 2 decimal places using place value
MA2-RN-01
new
Applies an understanding of place value and the role of zero to represent numbers to at least tens of thousands
MA1-FG-01
new
Uses the structure of equal groups to solve multiplication problems, and shares or groups to solve division problems
VCMNA135
Represent and solve problems involving multiplication using efficient mental and written strategies and appropriate digital technologies
VCMNA134
Recall multiplication facts of two, three, five and ten and related division facts
VCMNA114
Apply repetition in arithmetic operations, including multiplication as repeated addition and division as repeated subtraction
VCMNA109
Recognise and represent division as grouping into equal sets and solve simple problems using these representations
VCMNA108
Recognise and represent multiplication as repeated addition, groups and arrays
VCMNA103
Investigate number sequences, initially those increasing and decreasing by twos, threes, fives and ten from any starting point, then moving to other sequences
Australian Curriculum covers QLD / SA / WA / NT / TAS / ACT.
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