### Sample Sequence Level 6

Sample Scope and Sequence Level 6

Each term revisits concepts allowing teaching and learning to take individual students to higher levels of understanding.

 Week Term 1 Term 2 Term 3 Term 4 1 & 2 Number and place value 1.     Identify and describe properties of prime, composite, square and triangular numbers(ACMNA122) 2.     Select and apply efficient mental and written strategies and appropriate digital technologies to solve problems involving all four operations with whole numbers (ACMNA123) 3.     Investigate everyday situations that use integers. Locate and represent these numbers on a number line (ACMNA124) Number and place value 4.     Identify and describe properties of prime, composite, square and triangular numbers(ACMNA122) 5.     Select and apply efficient mental and written strategies and appropriate digital technologies to solve problems involving all four operations with whole numbers (ACMNA123) 6.     Investigate everyday situations that use integers. Locate and represent these numbers on a number line (ACMNA124) Number and place value 7.     Identify and describe properties of prime, composite, square and triangular numbers(ACMNA122) 8.     Select and apply efficient mental and written strategies and appropriate digital technologies to solve problems involving all four operations with whole numbers (ACMNA123) 9.     Investigate everyday situations that use integers. Locate and represent these numbers on a number line (ACMNA124) Number and place value 10.  Identify and describe properties of prime, composite, square and triangular numbers(ACMNA122) 11.  Select and apply efficient mental and written strategies and appropriate digital technologies to solve problems involving all four operations with whole numbers (ACMNA123) 12.  Investigate everyday situations that use integers. Locate and represent these numbers on a number line (ACMNA124) 3 Money and financial mathematics 1.     Investigate and calculate percentage discounts of 10%, 25% and 50% on sale items, with and without digital technologies (ACMNA132) Money and financial mathematics 2.     Investigate and calculate percentage discounts of 10%, 25% and 50% on sale items, with and without digital technologies (ACMNA132) Money and financial mathematics 3.     Investigate and calculate percentage discounts of 10%, 25% and 50% on sale items, with and without digital technologies (ACMNA132) Money and financial mathematics 4.     Investigate and calculate percentage discounts of 10%, 25% and 50% on sale items, with and without digital technologies (ACMNA132) 4 Using units of measurement 1.     Connect decimal representations to the metric system (ACMMG135) 2.     Convert between common metric units of length, mass and capacity (ACMMG136) 3.     Solve problems involving the comparison of lengths and areas using appropriate units(ACMMG137) 4.     Connect volume and capacity and their units of measurement (ACMMG138) 5.     Interpret and use timetables (ACMMG139) Using units of measurement Connect decimal representations to the metric system (ACMMG135) Convert between common metric units of length, mass and capacity (ACMMG136) Connect volume and capacity and their units of measurement (ACMMG138) Interpret and use timetables (ACMMG139) Using units of measurement 6.     Connect decimal representations to the metric system (ACMMG135) 7.     Convert between common metric units of length, mass and capacity (ACMMG136) 8.     Solve problems involving the comparison of lengths and areas using appropriate units(ACMMG137) 9.     Connect volume and capacity and their units of measurement (ACMMG138) 10.  Interpret and use timetables (ACMMG139) Using units of measurement Connect decimal representations to the metric system (ACMMG135) Convert between common metric units of length, mass and capacity (ACMMG136) Connect volume and capacity and their units of measurement (ACMMG138) Interpret and use timetables (ACMMG139) 5 Fractions and decimals 1.     Add and subtract decimals, with and without digital technologies, and use estimation and rounding to check the reasonableness of answers(ACMNA128) 2.     Multiply decimals by whole numbers and perform divisions by non-zero whole numbers where the results are terminating decimals, with and without digital technologies (ACMNA129) Multiply and divide decimals by powers of 10(ACMNA130) 3.     Make connections between equivalent fractions, decimals and percentages (ACMNA131) 4. Fractions and decimals 5.     Compare fractions with related denominators and locate and represent them on a number line(ACMNA125) 6.     Solve problems involving addition and subtraction of fractions with the same or related denominators(ACMNA126)Find a simple fraction of a quantity where the result is a whole number, with and without digital technologies (ACMNA127) Multiply and divide decimals by powers of 10(ACMNA130) 7.     Make connections between equivalent fractions, decimals and percentages (ACMNA131) 8. Fractions and decimals 9.     Add and subtract decimals, with and without digital technologies, and use estimation and rounding to check the reasonableness of answers(ACMNA128) 10.  Multiply decimals by whole numbers and perform divisions by non-zero whole numbers where the results are terminating decimals, with and without digital technologies (ACMNA129) Multiply and divide decimals by powers of 10(ACMNA130) 11.  Make connections between equivalent fractions, decimals and percentages (ACMNA131) 12. Fractions and decimals 13.  Compare fractions with related denominators and locate and represent them on a number line(ACMNA125) 14.  Solve problems involving addition and subtraction of fractions with the same or related denominators(ACMNA126)Find a simple fraction of a quantity where the result is a whole number, with and without digital technologies (ACMNA127) Multiply and divide decimals by powers of 10(ACMNA130) 15.  Make connections between equivalent fractions, decimals and percentages (ACMNA131) 16. 6 Patterns and algebra 1.     Continue and create sequences involving whole numbers, fractions and decimals. Describe the rule used to create the sequence (ACMNA133) 2.     Explore the use of brackets and order of operations to write number sentences (ACMNA134) Location and transformation 1.     Investigate combinations of translations, reflections and rotations, with and without the use of digital technologies (ACMMG142) 2.       3.     Introduce the Cartesian coordinate system using all four quadrants (ACMMG143) Patterns and algebra 3.     Continue and create sequences involving whole numbers, fractions and decimals. Describe the rule used to create the sequence (ACMNA133) 4.     Explore the use of brackets and order of operations to write number sentences (ACMNA134) Location and transformation 4.     Investigate combinations of translations, reflections and rotations, with and without the use of digital technologies (ACMMG142) 5.       6.     Introduce the Cartesian coordinate system using all four quadrants (ACMMG143) 7 Shape 1.     Construct simple prisms and pyramids(ACMMG140) Geometric reasoning 1.     Investigate, with and without digital technologies, angles on a straight line, angles at a point and vertically opposite angles. Use results to find unknown angles (ACMMG141) Shape 2.     Construct simple prisms and pyramids(ACMMG140) Geometric reasoning 2.     Investigate, with and without digital technologies, angles on a straight line, angles at a point and vertically opposite angles. Use results to find unknown angles (ACMMG141) 8 Chance 1.     Conduct chance experiments with both small and large numbers of trials using appropriate digital technologies (ACMSP145) 2.     Compare observed frequencies across experiments with expected frequencies(ACMSP146) Chance 3.     Conduct chance experiments with both small and large numbers of trials using appropriate digital technologies (ACMSP145) 4.     Compare observed frequencies across experiments with expected frequencies(ACMSP146) 9 Data Representation and Interpretation 1.     Interpret and compare a range of data displays, including side-by-side column graphs for two categorical variables (ACMSP147) 2.       3.     Interpret secondary data presented in digital media and elsewhere (ACMSP148) Data Representation and Interpretation 4.     Interpret and compare a range of data displays, including side-by-side column graphs for two categorical variables (ACMSP147) 5.       6.     Interpret secondary data presented in digital media and elsewhere (ACMSP148) 10

·         Contexts for Number and Place Value include Whole Number, Length, Time, Mass, Volume and Money.

·         Money used to develop concepts of Place Value including Decimals within Operations.

·         All strategies emphasise use of Place Value components and mental computation (Partial Sums, Partial Products).

·         Teachers need to make explicit the links between the four operations and Fractions.

·         Problem Solving activities aligned to topics under investigation presented to students to further develop Proficiency Strands of Australian Curriculum (Understanding, Fluency, Problem Solving & Reasoning).

·         All activities emphasise the use of Number in student relevant authentic open (self differentiating) contexts.

Please note that this is a sample only and each school would make decisions regarding an agreed sequence of learning based on student need and prior learning.