Multiplicative Relations
S3 Multiplication & Division
Aligned to the NSW Syllabus for The Australian curriculum (https://educationstandards.nsw.edu.au/wps/portal/nesa/home)
- outcomes and content listed below
- outcomes and content listed below
Teachers and Caregivers are advised to review sites, before use, to assess suitability and to monitor advertising.
Tony's Tyre Tables multiplication.com
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Car Wash Tables multiplication.com
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Timed Tables Tests - hoodamath
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Penguin Jump - mathplayground
Minute Multiplication - softschools
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Tractor Multiplication arcademics
Meteor Multiplication arcademics
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Grand Prix Tables - arcademics
Explore The Multiplication Table - printables - mathcats
Real Life Algebra - Australian Curriculum
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Multiplication Space Race - arcademics
Rooftop Ride multiplication.com
Tricky Ball Multiplication multiplication.com
Going Nuts Multiplication multiplication.com
Flying High Race multiplication.com
Number Patterns - abcya
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Dirt Bike Proportions arcademics
Granny Prix Tables multiplication.com
Sketch 's World Multiplication multiplication.com
Watercraft Rush mathplayground
Golf Multiplication - multiplication.com
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Diaper Derby multiplication.com
Car Rush Multiplication multiplication.com
Quick Flash II multiplication.com
Frogtastic multiplication.com
Colour Kick Tables multiplication.com
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Dino Park Division - mathplayground
Drag Race Division - mathplayground
Real Life Algebra - Australian Curriculum
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Tug Team Division - mathplayground
Mental Division - topmarks
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Demolition Division - mathplayground
Multiplication and Division Bingo - topmarks
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Multiplication Maths Lesson Plan - Australian Curriculum
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Multiplication Array Lesson Plan - Australian Curriculum
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The Array Game - Australian Curriculum
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Multiplication and Division - Australian Curriculum
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Multiplication Bingo - Australian Curriculum
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Division Games from splashmath.com - Year 5
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Fun division games from multiplication.com
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Syllabus Outcome
MAO-WM-01 Develops understanding and fluency in mathematics through exploring and connecting mathematical concepts, choosing and applying mathematical techniques to solve problems, and communicating their thinking and reasoning coherently and clearly
MA3-MR-01 Selects and applies appropriate strategies to solve multiplication and division problems
MA3-MR-02 Constructs and completes number sentences involving multiplicative relations, applying the order of operations to calculations
MA3-MR-01 Selects and applies appropriate strategies to solve multiplication and division problems
MA3-MR-02 Constructs and completes number sentences involving multiplicative relations, applying the order of operations to calculations
Content
Multiplicative relations A
Determine products and factors
Select and apply strategies to solve problems involving multiplication and division with whole numbers
Determine products and factors
- Use the term product to describe the result of multiplying 2 or more numbers
- Model different ways to show a whole number as a product (Reasons about structure)
- Determine factors for a given whole number
- Determine whether a number is prime, composite or neither (0 or 1)
- Use mental strategies to multiply one-digit numbers by 10, 100, 1000 and their multiples
- Estimate the product of 2 numbers (one-digit by 2- or 3-digit numbers) using multiples of 10 or 100
- Use informal written strategies such as the area model to solve multiplication and division problems
- Use the distributive property with the area model to partition numbers in representing multiplication problems
- Use the distributive property with partial products to solve problems by multiplying the hundreds, then the tens and then the ones
- Record the product of multiplying by a one-digit number using a formal algorithm
- Factorise numbers to aid mental multiplication
- Extend the area model to represent 2-digit by 2-digit multiplication
- Use a multiplication algorithm with understanding (Reasons about relations)
- Solve multiplication word problems
- Model division, including where the answer involves a remainder, using materials or diagrams
- Record remainders in words to division problems
- Use known multiplication fact families to solve division problems for which answers may include a remainder
- Use the term quotient to describe the result of a division calculation
- Show the connection between division and multiplication involving the divisor and quotient
- Estimate the result of dividing by a one-digit divisor
- Use knowledge of multiples to partition as appropriate and divide
- Apply and record appropriate strategies to solve division word problems
- Use and interpret remainders in solutions to division problems
- Use digital technologies to divide whole numbers by one- and 2-digit divisors
- Use estimation to check the reasonableness of answers to multiplication and division calculations
Select and apply strategies to solve problems involving multiplication and division with whole numbers
- Select and use efficient strategies to multiply whole numbers of up to 4 digits by one- and 2-digit numbers
- Solve word problems involving rates using multiplication and division (Reasons about relations)
- Determine why different division questions have the same answer (Reasons about relations)
- Use mental strategies to multiply benchmark decimals by single-digit numbers
- Compare the relative place value of digits to multiply and divide a decimal by powers of 10
- Estimate the product of a decimal and a whole number to determine the magnitude of a calculator answer
- Complete number sentences that involve more than one operation by calculating missing numbers
- Identify and use inverse operations to assist with the solution of number sentences
- Recognise that division can be recorded using fractions
- Use a given geometric pattern involving multiples to create a table of values
- Describe a pattern formed by multiples in words, in terms of multiplication rather than addition
- Determine a rule describing the relationship between the bottom number and the top number in a table (Algebraic reasoning)
- Recognise the need to agree on the order in which to perform operations
- Use grouping symbols () in number sentences to indicate operations that must be performed first
- Investigate the order of operations using real-life contexts
- Solve problems involving grouping symbols
updated Feb 2023
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