### Sample Sequence Level 5

Sample Scope and Sequence Level 5

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 Identify and describe factors and multiples of whole numbers and use them to solve problems(ACMNA098) Use estimation and rounding to check the reasonableness of answers to calculations(ACMNA099) Solve problems involving multiplication of large numbers by one- or two-digit numbers using efficient mental, written strategies and appropriate digital technologies (ACMNA100) Solve problems involving division by a one digit number, including those that result in a remainder(ACMNA101) Use efficient mental and written strategies and apply appropriate digital technologies to solve problems (ACMNA291) Number and place value Identify and describe factors and multiples of whole numbers and use them to solve problems(ACMNA098) Use estimation and rounding to check the reasonableness of answers to calculations(ACMNA099) Solve problems involving multiplication of large numbers by one- or two-digit numbers using efficient mental, written strategies and appropriate digital technologies (ACMNA100) Solve problems involving division by a one digit number, including those that result in a remainder(ACMNA101) Use efficient mental and written strategies and apply appropriate digital technologies to solve problems (ACMNA291) Number and place value Identify and describe factors and multiples of whole numbers and use them to solve problems(ACMNA098) Use estimation and rounding to check the reasonableness of answers to calculations(ACMNA099) Solve problems involving multiplication of large numbers by one- or two-digit numbers using efficient mental, written strategies and appropriate digital technologies (ACMNA100) Solve problems involving division by a one digit number, including those that result in a remainder(ACMNA101) Use efficient mental and written strategies and apply appropriate digital technologies to solve problems (ACMNA291) Number and place value Identify and describe factors and multiples of whole numbers and use them to solve problems(ACMNA098) Use estimation and rounding to check the reasonableness of answers to calculations(ACMNA099) Solve problems involving multiplication of large numbers by one- or two-digit numbers using efficient mental, written strategies and appropriate digital technologies (ACMNA100) Solve problems involving division by a one digit number, including those that result in a remainder(ACMNA101) Use efficient mental and written strategies and apply appropriate digital technologies to solve problems (ACMNA291) 3 Money and financial mathematics Use estimation and rounding to check the reasonableness of answers to calculations(ACMNA099) Solve problems involving multiplication of large numbers by one- or two-digit numbers using efficient mental, written strategies and appropriate digital technologies (ACMNA100) Solve problems involving division by a one digit number, including those that result in a remainder(ACMNA101) Use efficient mental and written strategies and apply appropriate digital technologies to solve problems (ACMNA291) Money and financial mathematics Create simple financial plans (ACMNA106) Use estimation and rounding to check the reasonableness of answers to calculations(ACMNA099) Solve problems involving multiplication of large numbers by one- or two-digit numbers using efficient mental, written strategies and appropriate digital technologies (ACMNA100) Solve problems involving division by a one digit number, including those that result in a remainder(ACMNA101) Use efficient mental and written strategies and apply appropriate digital technologies to solve problems (ACMNA291) Money and financial mathematics Use estimation and rounding to check the reasonableness of answers to calculations(ACMNA099) Solve problems involving multiplication of large numbers by one- or two-digit numbers using efficient mental, written strategies and appropriate digital technologies (ACMNA100) Solve problems involving division by a one digit number, including those that result in a remainder(ACMNA101) Use efficient mental and written strategies and apply appropriate digital technologies to solve problems (ACMNA291) Money and financial mathematics Create simple financial plans (ACMNA106) Use estimation and rounding to check the reasonableness of answers to calculations(ACMNA099) Solve problems involving multiplication of large numbers by one- or two-digit numbers using efficient mental, written strategies and appropriate digital technologies (ACMNA100) Solve problems involving division by a one digit number, including those that result in a remainder(ACMNA101) Use efficient mental and written strategies and apply appropriate digital technologies to solve problems (ACMNA291) 4 Using units of measurement 1.     Choose appropriate units of measurement for length, area, volume, capacity and mass(ACMMG108) 2.       3.     Calculate the perimeter and area of rectangles using familiar metric units (ACMMG109) 4. Using units of measurement 5.     Choose appropriate units of measurement for length, area, volume, capacity and mass(ACMMG108) 6.       7.     Calculate the perimeter and area of rectangles using familiar metric units (ACMMG109) 8.     Compare 12- and 24-hour time systems and convert between them (ACMMG110) Using units of measurement 9.     Choose appropriate units of measurement for length, area, volume, capacity and mass(ACMMG108) 10.    11.  Calculate the perimeter and area of rectangles using familiar metric units (ACMMG109) 12. Using units of measurement 13.  Choose appropriate units of measurement for length, area, volume, capacity and mass(ACMMG108) 14.    15.  Calculate the perimeter and area of rectangles using familiar metric units (ACMMG109) 16.  Compare 12- and 24-hour time systems and convert between them (ACMMG110) 5 Fractions and decimals 1.     Compare and order common unit fractions and locate and represent them on a number line(ACMNA102) 2.     Investigate strategies to solve problems involving addition and subtraction of fractions with the same denominator (ACMNA103) 3.     Recognise that the place value system can be extended beyond hundredths (ACMNA104) 4.     Compare, order and represent decimals(ACMNA105) Fractions and decimals 5.     Compare and order common unit fractions and locate and represent them on a number line(ACMNA102) 6.     Investigate strategies to solve problems involving addition and subtraction of fractions with the same denominator (ACMNA103) 7.     Recognise that the place value system can be extended beyond hundredths (ACMNA104) 8.     Compare, order and represent decimals(ACMNA105) Fractions and decimals 9.     Compare and order common unit fractions and locate and represent them on a number line(ACMNA102) 10.  Investigate strategies to solve problems involving addition and subtraction of fractions with the same denominator (ACMNA103) 11.  Recognise that the place value system can be extended beyond hundredths (ACMNA104) 12.  Compare, order and represent decimals(ACMNA105) Fractions and decimals 13.  Compare and order common unit fractions and locate and represent them on a number line(ACMNA102) 14.  Investigate strategies to solve problems involving addition and subtraction of fractions with the same denominator (ACMNA103) 15.  Recognise that the place value system can be extended beyond hundredths (ACMNA104) 16.  Compare, order and represent decimals(ACMNA105) 6 Patterns and algebra 1.     Describe, continue and create patterns with fractions, decimals and whole numbers resulting from addition and subtraction (ACMNA107) 2.     Use equivalent number sentences involving multiplication and division to find unknown quantities (ACMNA121) Location and transformation 1.     Use a grid reference system to describe locations. Describe routes using landmarks and directional language (ACMMG113) Patterns and algebra 3.     Describe, continue and create patterns with fractions, decimals and whole numbers resulting from addition and subtraction (ACMNA107)Use equivalent number sentences involving multiplication and division to find unknown quantities (ACMNA121) Location and transformation 2.     Use a grid reference system to describe locations. Describe routes using landmarks and directional language (ACMMG113) 7 Shape 1.     Connect three-dimensional objects with their nets and other two-dimensional representations(ACMMG111) Geometric reasoning 1.     Estimate, measure and compare angles using degrees. Construct angles using a protractor(ACMMG112) Shape 2.     Connect three-dimensional objects with their nets and other two-dimensional representations(ACMMG111) Geometric reasoning 2.     Estimate, measure and compare angles using degrees. Construct angles using a protractor(ACMMG112) 8 Location and transformation 3.     Describe translations, reflections and rotations of two-dimensional shapes. Identify line and rotational symmetries (ACMMG114) 4.     Apply the enlargement transformation to familiar two dimensional shapes and explore the properties of the resulting image compared with the original(ACMMG115) Chance 1.     List outcomes of chance experiments involving equally likely outcomes and represent probabilities of those outcomes using fractions (ACMSP116) 2.     Recognise that probabilities range from 0 to 1(ACMSP117) Location and transformation 5.     Describe translations, reflections and rotations of two-dimensional shapes. Identify line and rotational symmetries (ACMMG114) 6.     Apply the enlargement transformation to familiar two dimensional shapes and explore the properties of the resulting image compared with the original(ACMMG115) Chance 3.     List outcomes of chance experiments involving equally likely outcomes and represent probabilities of those outcomes using fractions (ACMSP116) 4.     Recognise that probabilities range from 0 to 1(ACMSP117) 9 Data Representation and Interpretation 1.     Pose questions and collect categorical or numerical data by observation or survey (ACMSP118) 2.     Construct displays, including column graphs, dot plots and tables, appropriate for data type, with and without the use of digital technologies(ACMSP119) 3.     Describe and interpret different data sets in context (ACMSP120) Data Representation and Interpretation 4.     Pose questions and collect categorical or numerical data by observation or survey (ACMSP118) 5.     Construct displays, including column graphs, dot plots and tables, appropriate for data type, with and without the use of digital technologies(ACMSP119) 6.     Describe and interpret different data sets in context (ACMSP120) 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.