DIVISION 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 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 Recall multiplication facts of two, three, five & ten & related division facts (Stepping Stones goes beyond & includes work with division & remainders) 9.1 Introducing the division symbol 9.2 Relating fractions to division-Halves 9.3 Working with remainders 12.1 Working with partition division (sharing) 12.2 Working with quotition division (grouping) 12.3 Relating fractions to division( halves & quarters 12.4 Working with remainders 12.5 Solving Problems 15.1 Exploring the relationship between multiplication & Division 15.2 Using the equal groups to relate multiplication & Division 15.3 Using the array model to relate multiplication & Division 15.4 Using the array model to write related multiplication & division facts Fundamentals Half & Half (1 & 2 digit dividends) Quick Quotients (Dividing by 2) Equal Shares (Dividing by 2 digit nos) Division Detour (Dividing by 2 & 4) Missing Divisors (Dividing by 2,4,5,& 10) Make a Choice (Multiply & divide by 5) Flare
DIVISION 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 4 GP 5 Multiplication Strategies Interpreting Multiplication - Multiplication Problems-Cost of Stickers & Stickers in a pack STRATEGIES- Array- Number Fact- Distributive Law- Skip Count GP 4Basic, derived and intuitive strategies for multiplication Can solve a range of multiplication problems using strategies such as commutativity, skip counting and building up from known facts Recall multiplication facts up to 10 x10 & related division facts 2.1 Working with division facts (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 11.7 Working beyond Division Develop efficient mental & written Strategies & use appropriate digital technologies for multiplication & for division where there is no remainder 8.3 Connecting Multiplication & Division Facts 8.7 Connecting Multiplication & Division Facts 8.8.Reinforcing the link between Multiplication & Division Facts By the end of Year 4 students should be able to automatically solve division problems (Word Problems- no materials) Year 4 Turn arounds, repeated addition, partition & quotition Division, halving Fundamentals Half of that ( 2 & 3 Digit Dividends) Have a Half (2 & 3 Digit Dividends) For Division (2 & 3 Digit Dividends) Flare
DIVISION & 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 5 GP6 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 Solve problems involving Division by a one digit number, including those that result in remainder Stepping Stones goes beyond by including dollar & cent amounts 5.2 Partitioning two digit Numbers to divide 5.3 Using Place Value to divide ( three digit numbers) 5.4 Partitioning three digit Numbers to divide 5.5 Partitioning to divide dollar & cent amounts 12.1 Working with remainders 12.2 Using mental Strategies to make estimates (three digit numbers) 12.3 Working beyond the division facts (three & four digit numbers) 12.4 Applying for divisibility (two & three digit numbers) 12.5 Investigating Division Patterns 15.1 Calculating unit costs- whole dollars 15.2 Calculating unit costs- dollars & cents 15.3 Calculating unit best buys 15.4 Using patterns to explore two & three digit divisors Fundamentals Roll a Remainder x6 Roll a Remainder x7 Roll a Remainder x8 Factor Find (finding 1 factor) Fun Factors (Working factors & multiples) Doing Division (Divide 2 digit Numbers) Divide ‘n Conquer (Divide 3 digit Numbers) Go Divide (Divide 3 digit Numbers) Remainder Run (2 digit dividends) This I know (Division & Beyond) Operation Order( Order of Operations) Flare Pan Balance Number line DIVISION SCOPE & SEQUENCE FOR AUSVELS CURRICULUM/ STEPPING STONES
AusVELS level and related Growth Point Stepping Stones Modules linked to AusVELS content descriptions Mathedology Big 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 8. Extending and applying multiplication and division Can solve 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 8.1 Extending Division Facts -Partitioning whole numbers (three & four digit numbers) 8.3 Using factors to divide by two digit numbers 8.4 Using Factors to divide multiples of ten 12.1 Calculating per hour 12.2 Calculating plans 12.3 Dealing with amounts left over Multiply & Divide Decimals by powers of 10 9.4 Multiplying & Dividing by 10, 100 & 1000 11.6 Converting between units of length- Millimetres, centimetres & metres 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. In Year 6, students are expected to solve division equations in practical context e.g. open ended problems Fundamentals Divide It (3 Digit Dividends) Division Dash (3 Digit Dividends) Does It Divide (Use Rule of Divisibility) Remainder Race (2 Digit Dividends) Percentage Play (3 Digit Numbers) Fast Factors ( Factoring 3 Digit Numbers) Percentage Fun (3 Digit Numbers) Flare Pan Balance Number line