MULTIPLICATION SCOPE & SEQUENCE FOR AUSVELS CURRICULUM/ STEPPING STONES AusVELS and related Growth Point Stepping Stones Modules linked to AusVELS content descriptions Mathedology Big Resources Foundation 1 By the end of Year 1 the students will be able to model division; when all things are perceived. Skip Counting & sharing Level 2 By the end of Grade 2 the students will be connecting multiplication & division. In Stepping Stones modelling is used; MAI Includes partial modelling in Multiplication & Division. Children should be able to apply their knowledge of Module 15 15.1 Counting in Steps of two & five (one & two digit numbers) 16.2 Writing Equal Groups 16.3 Adding Groups 16.4 Describing Arrays Recognise & represent multiplication as grouping into repeated addition, groups & arrays Module 8 8.3 Introducing arrays to represent multiplication 8.4 Introducing the “x” symbol Module 11 11.7 Interpreting the “x” symbol 11.8 Introducing the turnaround facts for multiplication Module 15 CMSF An Introduction to Teaching Multiplication Facts CMS 1 Teaching the “use 10 strategy for multiplication number (x5) FACILITATOR CMS 2 Teaching the doubling strategy for multiplication number facts (x2, x4, x8) FACILITATOR NOTES CMS 3 Teaching the build up & build down strategies for multiplication number facts (x6, x9) “The Party” The Big Bug Band The Space Party Munch & Crunch Fundamentals Double Barrel (Doubling Multiples of 10) Double Bucket (Doubling Multiples of 5 &10) Flare Number Number Line Pan Balance
MULTIPLICATION & SEQUENCE FOR AUSVELS CURRICULUM/ STEPPING STONES AusVELS level and related Growth Point Stepping Stones Modules linked to AusVELS content descriptions Mathedology Big Books Slate Resources 3 GP 3 Partial Modelling Multiplication & Division Unifix Tennis Balls -Dot arrays STRATEGIES- Skip Count & Known Fact GP 4 Abstracting Multiplication & Division Biscuits on a tray- Number of legs- Children at the Movies STRATEGIES- Repeated Count & Known Fact GP 3. Abstracting multiplication and division Solves multiplication and division problems Recall multiplication facts of two, three, five & ten & related division facts Represent & problems involving multiplication using efficient mental & written strategies & appropriate digital technologies 4.1 Using multiplication- equal groups 4.2 Using “x” with arrays 4.3 Interpreting multiplication sentences 4.4 Using tens to multiply by five 4.5 Working with facts & turnarounds 8.1 Revising multiplication models 8.2 Revising multiplication facts (x 2) 8.3 Working beyond multiplication facts (x 2) ( two digit numbers) 13.1 Working with multiplication facts (x1) 13.2 Working with multiplication facts (x0) 13.3 Working beyond multiplication facts (x5) (two numbers) CMSF An Introduction to Teaching Multiplication Facts CMS 1 Teaching the “use 10 strategy for multiplication number facts (x5) FACILITATOR CMS 2 Teaching the doubling strategy for multiplication number facts (x2, x4, x8) FACILITATOR NOTES CMS 3 Teaching the up & build down strategies for multiplication number facts (x6, x9) Fundamentals Pick a Product (Basic multiplication facts) Times Tussle (Multiplying by fives & tens) Double Double (Basic multiplication facts) Do the D’s (Basic multiplication facts) Double & Add (adding two digit numbers) Double Double Again (Doubling to multiply by two & four) Seeing Double (doubling to multiplying by two) In Step (counting in by 2,5,10) Missing Divisors (Dividing by 2,4,5,10) Times That (multiplying by 5 & 10) Times This (multiplying by 9 & 10) Make a choice (Multiplying & Dividing by 5) Flare Number Board Number Line Pan Balance
where objects are not all modelled or perceived 15.1 Exploring the relationship between multiplication & division 15.2 Using the equal groups model to relate multiplication & division 15.3 Using the array model to relate multiplication & division 15.4 the array model to write the related multiplication & division facts
MULTIPLICATION & SEQUENCE FOR AUSVELS CURRICULUM/ STEPPING STONES AusVELS level and related Growth Point Stepping Stones Modules linked to AusVELS content descriptions Mathedology Big Books Slate Resources 4 GP 5 Multiplication Strategies Interpreting Multiplication - Multiplication Problems-Cost of Stickers & Stickers in a pack STRATEGIES- Array- Number Fact- Distributive Law- Skip Count GP5 Basic, derived and intuitive strategies for multiplication Can solve a range of multiplication problems using strategies such as commutativity, skip counting and building up Recall multiplication facts up to 10 x10 & related division facts 2.1 Working with division (dividing by 2) 2.2 Working with division facts (dividing by 5) 2.3 Connecting Multiplication & Division Facts 2.4 Reinforcing the link between Multiplication & Division facts 3.1 Working with multiplication facts (x4) 3.2 Working beyond the multiplication facts (x4) (two-digit numbers) 3.3 Working with multiplication facts (x8) 6.1 Working with multiplication facts (x9) 6.2 Working beyond the multiplication facts (x9) (two-digit numbers) 6.3 Working with multiplication facts (x6) 6.4 Working with the last multiplication facts (x3, x7) 8.1 Revising Multiplication (x4, x8) 8.2 Writing Fact families (x4,x8) 8.3 Connecting Multiplication & Division 11.7 Working beyond of division (dividing by 2) Develop efficient mental & written Strategies & use appropriate digital technologies for CMSF An Introduction to Teaching Multiplication Facts CMS 1 Teaching the “use 10 strategy for multiplication number facts (x5) FACILITATOR CMS 2 Teaching the doubling strategy for multiplication number facts (x2, x4, x8) FACILITATOR NOTES CMS 3 Teaching the up & build down strategies for multiplication number facts (x6, x9) Fundamentals Multiplication Mania(Basic Multiplication Facts) Take Your Pick (Multiplying by 5 & 10) This or That (Using Multiple Operations) Use Doubles (Doubling to Multiply by 2 & 4) Do the D’s again (Doubling to Multiply by 24& 8) Use a ten fact (Multiplication with 2 digit numbers) That a fact (Multiplication- the last facts) It’s a fact (Multiplication facts & beyond) Flare Number Boards Number Line Pan Balance
MULTIPLICATION SCOPE & SEQUENCE FOR AUSVELS CURRICULUM/ STEPPING STONES AusVELS and related Growth Point Stepping Stones Modules linked to AusVELS content descriptions Mathedology Big Books Slate Resources Level 5 GP 6 Division Strategies Interpreting Division-Division Problems- Washing Windows STRATEGIES- Known Fact- Law- Skip Count GP 6. Basic, derived and intuitive strategies for division Can solve a range of division problems using strategies such as fact families and building up from known facts Identify & describe factors & multiples of whole numbers & use them to solve problems 2.1 Investigating patterns using multiples 2.2 Investigating patterns made by multiples 2.3 Relating Multiples & factors 2.4 Constructing factor trees (two-digit numbers) 5.1 Working with factors & multiples 7.1 Factoring two & digit numbers 7.2 Factoring to multiply two digit numbers 12.4 Applying Tests for divisibility (two & three digit numbers) 13.6 Finding prime numbers 13.7 Finding common multiples Solve problems involving Multiplication of large numbers by one- or two –digit numbers using efficient mental, written strategies & appropriate digital technologies Stepping Stones goes beyond by including multiplication of decimals 7.1 Factoring two & three digit numbers Fundamentals Nice & Easy (Multiplying two-digit Numbers) Friendly Factors (Multiplying Numbers) Nice & Easy Too (Multiplying two-digit Numbers) Perfect Pairs (Multiplying three single-digit Numbers) Factor Find (Finding one digit Factors) Fun Factors (working factors & multiples) Use Factors (multiplying tow- numbers) Operation Order(order of operations) Flare Number Number Line Pan Balance
MULTIPLICATION SCOPE & SEQUENCE FOR AUSVELS CURRICULUM/ STEPPING STONES AusVELS level and related Growth Point Stepping Stones Modules linked to AusVELS content descriptions Mathedology Big Books Slate Resources Level 6 GP 7 & 8 Extending & Applying Multiplication & Division: Off to the Collection in an Orchard- Sharing Pizza-Relay- Half as Many STRATEGIES: & Halving GP 7 .Extending and applying multiplication and division Can a range of multiplication and division problems (including numbers) in practical contexts. Select & apply efficient mental & written strategies & appropriate digital technologies to solve problems involving all four operations with whole numbers 4.1 mental strategies to multiply two -digit numbers 4.2 Comparing mental strategies for multiplication (two numbers) 5.1 Multiplying digit numbers 5.3 Exploring multiplication patterns 5.4 Multiplying by tens 5.5 Recording the steps to multiply (two-digit numbers) 10.1 Using Partial Products for multiplication (two-digit numbers) 10.2 Analysing written methods for multiplication (two-digit numbers) 10.6 Developing a formula for calculating the area of oblongs 10.7 Working with area of oblongs 10.8 Working out surface area Multiply & Divide Decimals by powers of 10 9.4 Multiplying & Dividing by 10, 100 & 1000 By the end of Year 6 students can solve a range of Division problems in Practical Context e.g. worded problems In Stepping Stones there are opportunities for students to read, interpret & solve worded division problems including multi-digit numbers. Fundamentals Decimal Doubles (Multiplying Decimals) Factor fun (Multiplying two- digit numbers) Fast Factors (Factoring three-digit numbers) Percentage fun (three-digit numbers) Pan Balance Number line Number