# AUSTRALIAN NATIONAL CURRICULUM & MATHLETICS

## AUSTRALIAN NATIONAL CURRICULUM & MATHLETICS

**AUSTRALIAN NATIONAL CURRICULUM & MATHLETICS www.mathletics.com.au**

AUSTRALIAN CURRICULUM MATHEMATICS & MATHLETICS © 3P Learning 3 CONTENTS Foundation . 4 Year 1 . 6 Year 2 . . 9 Year 3 . 13 Year 4 . . 16 Year 5 . . 20 Year 6 . 24 Year 7 . 28 Year 8 . . 33 Year 9 . 37 Year 10 . 42 Year 10A . . 47

AUSTRALIAN CURRICULUM MATHEMATICS & MATHLETICS © 3P Learning 4 Foundation Number and Algebra Number and place value ACMNA001 Establish understanding of the language and processes of counting by naming numbers in sequences, initially to and from 20, moving from any starting point.

(NA) Number Order ͳ ͳ Numbers to 10 ͳ ͳ Order Numbers to 20 ͳ ͳ 1 to 30 Series A Numbers and Patterns ͳ ͳ Numbers to 10 ͳ ͳ Numbers to 20 ͳ ͳ Numbers to 30 ACMNA002 Connect number names, numerals and quantities, including zero, initially up to 10 and then beyond.

(NA) Number Order ͳ ͳ Making Teen Numbers* ͳ ͳ Matching Numbers* ͳ ͳ The 1 comes first* Series A Numbers and Patterns ͳ ͳ Numbers to 10 ͳ ͳ Numbers to 20 ͳ ͳ Numbers to 30 ACMNA003 Subitise small collections of objects. (NA) Number Order ͳ ͳ Count to 5* ͳ ͳ 5 Flash* Series A Numbers and Patterns ͳ ͳ Numbers to 10 ACMNA289 Compare, order and make correspondences between collections, initially to 20, and explain reasoning. (NA) Number Order ͳ ͳ More, less or the same* ͳ ͳ First is the worst* Series A Numbers and Patterns ͳ ͳ Numbers to 10 ͳ ͳ Numbers to 20 ͳ ͳ Numbers to 30 ͳ ͳ Ordinal Numbers ACMNA004 Represent practical situations to model addition and sharing.

(NA) Operations with Number ͳ ͳ Model Addition ͳ ͳ Adding to Ten ͳ ͳ Model Subtraction ͳ ͳ Subtracting from Ten ͳ ͳ Share the Treasure ͳ ͳ Adding to Make 5 and Ten* ͳ ͳ Fair or unfair* Series A Operations with Number ͳ ͳ Addition ͳ ͳ Subtraction ͳ ͳ Grouping and Sharing Patterns and algebra ACMNA005 Sort and classify familiar objects and explain the basis for these classifications. Copy, continue and create patterns with objects and drawings. (NA) Patterns - Simple Patterns ͳ ͳ Colour Patterns ͳ ͳ Missing it! ͳ ͳ Sort it!* Series A Numbers and Patterns ͳ ͳ Patterns Measurement and Geometry Using units of measurement ACMMG006 Use direct and indirect comparisons to decide which is longer, heavier or holds more, and explain reasoning in everyday language.

(MG) Measurement ͳ ͳ Everyday Length ͳ ͳ Everyday Mass ͳ ͳ Balancing Act Series A Measurement ͳ ͳ Length ͳ ͳ Mass ͳ ͳ Volume and Capacity Australian Curriculum Mathletics Activities Mathletics Workbooks * In Development

AUSTRALIAN CURRICULUM MATHEMATICS & MATHLETICS © 3P Learning 5 ACMMG007 Compare and order the duration of events using the everyday language of time. (MG) Measurement ͳ ͳ Ordering Events* Series A Time, Money and Data ͳ ͳ Time ACMMG008 Connect days of the week to familiar events and actions. (MG) Measurement ͳ ͳ Days of the Week Series A Time, Money and Data ͳ ͳ Time Shape ACMMG009 Sort, describe and name familiar two- dimensional shapes and three-dimensional objects in the environment. (MG) Shape and Location ͳ ͳ Match the Object ͳ ͳ Collect the Shape Series A Space and Shape ͳ ͳ 2D Space ͳ ͳ 3D Space Location and transformation ACMMG010 Describe position and movement.

**(MG) Shape and Location ͳ ͳ Where is it? ͳ ͳ Move it!* Series A Space and Shape ͳ ͳ Position Statistics and Probability Data representation and interpretation ACMSP011 Answer yes/no questions to collect information. (SP) Data ͳ ͳ Who has the goods? ͳ ͳ Dogs or cats?* Series A Time, Money and Data ͳ ͳ Data Australian Curriculum Mathletics Activities Mathletics Workbooks Foundation * In Development**

AUSTRALIAN CURRICULUM MATHEMATICS & MATHLETICS © 3P Learning 6 Year 1 Number and Algebra Number and place value ACMNA012 Develop confidence with number sequences to and from 100 by ones from any starting point. Skip count by twos, fives and tens starting from zero. (NA) Numbers to 30 ͳ ͳ Counting Forwards ͳ ͳ Counting Backwards (NA) Number and Shape Patterns ͳ ͳ Counting by Twos ͳ ͳ Counting by Fives ͳ ͳ Counting by Tens ͳ ͳ Counting Coins* ͳ ͳ Continue the count* Series B Numbers ͳ ͳ Numbers to 20 ͳ ͳ Numbers to 50 ͳ ͳ Numbers to 100 ͳ ͳ Skip counting ACMNA013 Recognise, model, read, write and order numbers to at least 100.

Locate these numbers on a number line.

(NA) Numbers to 30 ͳ ͳ Reading Numbers to 30 ͳ ͳ Order Numbers to 20 ͳ ͳ 1 to 30 ͳ ͳ 1st to 31st ͳ ͳ 1st to 10th* (NA) Numbers to 100 ͳ ͳ Going Up ͳ ͳ Going Down ͳ ͳ Arranging Numbers ͳ ͳ Number Lines ͳ ͳ Number Line Order ͳ ͳ 1 More, Ten Less* ͳ ͳ Put me on the Number Line* Series B Numbers ͳ ͳ Ordinal Numbers ͳ ͳ Numbers to 20 ͳ ͳ Numbers to 50 ͳ ͳ Numbers to 100 ACMNA014 Count collections to 100 by partitioning numbers using place value. (NA) Numbers to 100 ͳ ͳ Making Numbers Count ͳ ͳ Making Big Numbers Count ͳ ͳ Expand me!* ͳ ͳ How many tens and ones?* Series B Numbers ͳ ͳ Place Value to 99 ACMNA015 Represent and solve simple addition and subtraction problems using a range of strategies including counting on, partitioning and rearranging parts.

(NA) Addition and Subtraction ͳ ͳ Model Addition ͳ ͳ Adding to Ten ͳ ͳ Model Subtraction ͳ ͳ Subtracting from Ten ͳ ͳ All about Ten ͳ ͳ Addition Facts to 18 ͳ ͳ Addictive Addition ͳ ͳ Subtraction Facts to 18 ͳ ͳ Simple Subtraction ͳ ͳ Columns that Add ͳ ͳ Columns that Subtract ͳ ͳ Adding Ten or One* ͳ ͳ Double Trouble* Series B Operations with Number ͳ ͳ Addition ͳ ͳ Subtraction Australian Curriculum Mathletics Activities Mathletics Workbooks * In Development

AUSTRALIAN CURRICULUM MATHEMATICS & MATHLETICS © 3P Learning 7 ACMNA015 (continued) (NA) Addition and Subtraction ͳ ͳ Turn me around* ͳ ͳ Bonds to Ten* ͳ ͳ Bonds to Twenty* ͳ ͳ Bridge to Ten* Fractions and decimals ACMNA016 Recognise and describe one-half as one of two equal parts of a whole.

(NA) Numbers to 30 ͳ ͳ Halves and Quarters ͳ ͳ Is it half?* ͳ ͳ Fair Shares* Series B Numbers ͳ ͳ Fractions Money and financial mathematics ACMNA017 Recognise, describe and order Australian coins according to their value. (NA) Money ͳ ͳ Coin Order* Series B Time and Money ͳ ͳ Money Patterns and algebra ACMNA018 Investigate and describe number patterns formed by skip counting and patterns with objects.

(NA) Number and Shape Patterns ͳ ͳ Counting by Twos ͳ ͳ Counting by Fives ͳ ͳ Counting by Tens ͳ ͳ Simple Patterns ͳ ͳ Colour Patterns ͳ ͳ Missing it! ͳ ͳ Pattern Error ͳ ͳ 3 Stripes* ͳ ͳ On and Off Tens* Series B Patterns and Relationships ͳ ͳ Patterns and Rules Series B Numbers ͳ ͳ Skip counting Measurement and Geometry Using units of measurement ACMMG019 Measure and compare the lengths and capacities of pairs of objects using uniform informal units. (MG) Length and Capacity ͳ ͳ Everyday Length ͳ ͳ How Long is That? ͳ ͳ Measuring Length ͳ ͳ Filling Fast! ͳ ͳ How Full? ͳ ͳ Compare the Pairs - Capacity* ͳ ͳ Compare the Pairs - Length* Series B Measurement ͳ ͳ Length ͳ ͳ Volume and Capacity ACMMG020 Tell time to the half-hour.

(MG) Time ͳ ͳ Hour Times ͳ ͳ Half Hour Times ͳ ͳ Digital and Analogue Time* Series B Time and Money ͳ ͳ Time Australian Curriculum Mathletics Activities Mathletics Workbooks Year 1 * In Development

AUSTRALIAN CURRICULUM MATHEMATICS & MATHLETICS © 3P Learning 8 Year 1 Measurement and Geometry Using units of measurement ACMMG021 Describe duration using months, weeks, days and hours. (MG) Time ͳ ͳ Days of the Week ͳ ͳ Months of the Year ͳ ͳ Using a Calendar ͳ ͳ Month Order* Series B Time and Money ͳ ͳ Time Shape ACMMG022 Recognise and classify familiar two-dimensional shapes and three-dimensional objects using obvious features. (MG) Shape and Location ͳ ͳ Collect the Shapes ͳ ͳ Match the Object ͳ ͳ Collect the Objects ͳ ͳ Relate Shapes and Solids ͳ ͳ Corner, face or edge?* ͳ ͳ Corners and sides* Series B Space and Shape ͳ ͳ 2D Space ͳ ͳ 3D Space Location and transformation ACMMG023 Give and follow directions to familiar locations.

**(MG) Shape and Location ͳ ͳ Where is it? ͳ ͳ Left or Right? Series B Space and Shape ͳ ͳ Position Statistics and Probability Chance ACMSP024 Identify outcomes of familiar events involving chance and describe them using everyday language such as ‘will happen’, ‘won’t happen’ or ‘might happen’.**

(SP) Data ͳ ͳ Will, Won't or Might Series B Chance and Data ͳ ͳ Chance Data representation and interpretation ACMSP262 Choose simple questions and gather responses. (SP) Data ͳ ͳ Which Question?* Series B Chance and Data ͳ ͳ Data ACMSP263 Represent data with objects and drawings where one object or drawing represents one data value. Describe the displays. (SP) Data ͳ ͳ More or Less? ͳ ͳ Who has the Goods? ͳ ͳ Picture Graphs* Series B Chance and Data ͳ ͳ Data Australian Curriculum Mathletics Activities Mathletics Workbooks * In Development

AUSTRALIAN CURRICULUM MATHEMATICS & MATHLETICS © 3P Learning 9 Year 2 Number and Algebra Number and place value ACMNA026 Investigate number sequences, initially those increasing and decreasing by twos, threes, fives and ten from any starting point, then moving to other sequences.

(NA) Number and Shape Patterns ͳ ͳ Counting by Twos ͳ ͳ Counting by Fives ͳ ͳ Counting by Tens ͳ ͳ Counting by Threes* Series C Numbers ͳ ͳ Skip Counting Series C Patterns and Relationships ͳ ͳ Patterns and Rules ACMNA027 Recognise, model, represent and order numbers to at least 1000.

(NA) Numbers to 100 ͳ ͳ Making Big Numbers Count ͳ ͳ Compare Numbers to 100 ͳ ͳ 1st to 31st ͳ ͳ Number Line Order (NA) Numbers to 1000 ͳ ͳ Number Line Order to 1000* ͳ ͳ Model Numbers ͳ ͳ Which is Bigger? ͳ ͳ Which is Smaller? Series C Numbers ͳ ͳ Numbers to 999 ͳ ͳ Ordinal Numbers ACMNA028 Group, partition and rearrange collections up to 1000 in hundreds, tens and ones to facilitate more efficient counting. (NA) Numbers to 1 000 ͳ ͳ Model Numbers ͳ ͳ Hundreds, Tens and Units* ͳ ͳ Does It Match?* ͳ ͳ Expander Madness* Series C Numbers ͳ ͳ Place Value to 999 ACMNA029 Explore the connection between addition and subtraction.

(NA) Adding and Subtracting ͳ ͳ All About ten ͳ ͳ Addition facts to 18 ͳ ͳ Subtraction facts to 18 ͳ ͳ Basic Fact Families Series C Operations with Number ͳ ͳ Addition ͳ ͳ Subtraction ACMNA030 Solve simple addition and subtraction problems using a range of efficient mental and written strategies. (NA) Adding and Subtracting ͳ ͳ All About ten ͳ ͳ Addition facts to 18 ͳ ͳ Subtraction facts to 18 ͳ ͳ Subtract Numbers ͳ ͳ Addictive Addition ͳ ͳ Simple Subtraction ͳ ͳ Columns that Add ͳ ͳ Subtract Numbers ͳ ͳ Columns that Subtract ͳ ͳ What is missing?* ͳ ͳ Doubles and Halves* ͳ ͳ Terrific Turnarounds* ͳ ͳ Bridge it* ͳ ͳ Add it on the Grid* Series C Operations with Number ͳ ͳ Addition ͳ ͳ Subtraction Australian Curriculum Mathletics Activities Mathletics Workbooks * In Development

AUSTRALIAN CURRICULUM MATHEMATICS & MATHLETICS © 3P Learning 10 Year 2 Number and Algebra Number and place value ACMNA031 Recognise and represent multiplication as repeated addition, groups and arrays. (NA) Multiplying and Dividing ͳ ͳ Groups of Two ͳ ͳ Groups of Three ͳ ͳ Groups of Five ͳ ͳ Groups of Ten ͳ ͳ Multiplication Arrays ͳ ͳ Repeated Addition* Series C Operations with Number ͳ ͳ Multiplication ACMNA032 Recognise and represent division as grouping into equal sets and solve simple problems using these representations.

(NA) Multiplying and Dividing ͳ ͳ Dividing Twos ͳ ͳ Dividing Threes ͳ ͳ Dividing Fives ͳ ͳ Dividing Tens ͳ ͳ Fair Shares* ͳ ͳ How Many Groups?* Series C Operations with Number ͳ ͳ Division Fractions and decimals ACMNA033 Recognise and interpret common uses of halves, quarters and eighths of shapes and collections.

(NA) Numbers to 100 ͳ ͳ Halves and Quarters (NA) Fractions ͳ ͳ Eighths* ͳ ͳ Halves, Quarters and Eighths of a Collection* Series C Numbers ͳ ͳ Fractions Money and financial mathematics ACMNA034 Count and order small collections of Australian coins and notes according to their value. (NA) Money ͳ ͳ Who has the money? ͳ ͳ Counting Coins* ͳ ͳ How much?* ͳ ͳ Match the Money* Series C Time and Money ͳ ͳ Money Patterns and algebra ACMNA035 Describe patterns with numbers and identify missing elements.

(NA) Number and Shape Patterns ͳ ͳ Counting by Twos ͳ ͳ Counting by Fives ͳ ͳ Counting by Tens ͳ ͳ Twos, Fives or Tens?* Series C Patterns and Relationships ͳ ͳ Patterns and Rules ACMNA036 Solve problems by using number sentences for addition or subtraction. (NA) Adding and Subtracting ͳ ͳ Solve it!* Series C Patterns and Relationships ͳ ͳ Number Relationships ͳ ͳ Addition ͳ ͳ Subtraction Australian Curriculum Mathletics Activities Mathletics Workbooks * In Development

AUSTRALIAN CURRICULUM MATHEMATICS & MATHLETICS © 3P Learning 11 Year 2 Measurement and Geometry Using units of measurement ACMMG037 Compare and order several shapes and objects based on length, area, volume and capacity using appropriate uniform informal units.

(MG) Measurement ͳ ͳ Comparing Length ͳ ͳ Filling Fast ͳ ͳ How full? ͳ ͳ Comparing Volume ͳ ͳ Find the Area* ͳ ͳ Find the Length* Series C Measurement ͳ ͳ Length ͳ ͳ Volume and Capacity ACMMG038 Compare masses of objects using balance scales. (MG) Measurement ͳ ͳ Everyday Mass ͳ ͳ Balancing Act ͳ ͳ Balance the Scales* Series C Measurement ͳ ͳ Mass ACMMG039 Tell time to the quarter-hour, using the language of 'past' and 'to'. (MG) Time ͳ ͳ Hour Times ͳ ͳ Half Hour Times ͳ ͳ Quarter to and Past* ͳ ͳ Digital Time* Series C Time and Money ͳ ͳ Time ACMMG040 Name and order months and seasons. (MG) Time ͳ ͳ Months of the Year ͳ ͳ Which Season?* Series C Time and Money ͳ ͳ Time ACMMG041 Use a calendar to identify the date and determine the number of days in each month.

(MG) Time ͳ ͳ Using a calendar ͳ ͳ When is it?* Series C Time and Money ͳ ͳ Time Shape ACMMG042 Describe and draw two-dimensional shapes, with and without digital technologies. (MG) Shape and Location ͳ ͳ Collect more shapes ͳ ͳ More Sides and Corners* ͳ ͳ Straight Lines and Curves* Series C Space and Shape ͳ ͳ 2D Space ACMMG043 Describe the features of three-dimensional objects.

(MG) Shape and Location ͳ ͳ Collect the Objects ͳ ͳ Match the Objects ͳ ͳ Relate Shapes and Solids ͳ ͳ Corners, Edges and Faces* Series C Space and Shape ͳ ͳ 3D Space Location and transformation ACMMG044 Interpret simple maps of familiar locations and identify the relative positions of key features. (MG) Shape and Location ͳ ͳ Following Directions ͳ ͳ Left or Right? Series C Space and Shape ͳ ͳ Position Australian Curriculum Mathletics Activities Mathletics Workbooks * In Development

AUSTRALIAN CURRICULUM MATHEMATICS & MATHLETICS © 3P Learning 12 Year 2 Measurement and Geometry Location and transformation ACMMG045 Investigate the effect of one-step slides and flips with and without digital technologies.

(MG) Shape and Location ͳ ͳ Flip, Slide, Turn Series C Space and Shape ͳ ͳ 2D Space ACMMG046 Identify and describe half and quarter turns. (MG) Shape and Location ͳ ͳ Half and Quarter Turns* Series C Space and Shape ͳ ͳ 2D Space Statistics and Probability Chance ACMSP047 Identify practical activities and everyday events that involve chance. Describe outcomes as ‘likely’ or ‘unlikely’ and identify some events as ‘certain’ or ‘impossible’.

(SP) Chance and Data ͳ ͳ What are the chances? ͳ ͳ Likely or Unlikely?* Series C Chance and Data ͳ ͳ Chance Data representation and interpretation ACMSP048 Identify a question of interest based on one categorical variable. Gather data relevant to the question. (SP) Chance and Data ͳ ͳ Match the Data* Series C Chance and Data ͳ ͳ Data ACMSP049 Collect, check and classify data (SP) Chance and Data ͳ ͳ Which Graph Works?* Series C Chance and Data ͳ ͳ Data ACMSP050 Create displays of data using lists, table and picture graphs and interpret them. (SP) Chance and Data ͳ ͳ Who has the goods? ͳ ͳ Sorting Data ͳ ͳ Tallies ͳ ͳ More Tallies* Series C Chance and Data ͳ ͳ Data Australian Curriculum Mathletics Activities Mathletics Workbooks * In Development

AUSTRALIAN CURRICULUM MATHEMATICS & MATHLETICS © 3P Learning 13 Year 3 Number and Algebra Number and place value ACMNA051 Investigate the conditions required for a number to be odd or even and identify odd and even numbers. (NA) Patterns and Algebra ͳ ͳ Odd and even numbers 1 Series D Reading and Understanding Whole Numbers ͳ ͳ Looking at whole numbers ACMNA052 Recognise, model, represent and order numbers to at least 10 000. (NA) Whole Numbers ͳ ͳ Model numbers ͳ ͳ Place the number* ͳ ͳ Making big numbers count Series D Reading and Understanding Whole Numbers ͳ ͳ Place value of whole numbers ACMNA053 Apply place value to partition, rearrange and regroup numbers to at least 10 000 to assist calculations and solve problems.

(NA) Whole Numbers ͳ ͳ Expanded notation Series D Reading and Understanding Whole Numbers ͳ ͳ Place value of whole numbers ACMNA054 Recognise and explain the connection between addition and subtraction. (NA) Addition and Subtraction ͳ ͳ Fact families: Add and subtract ͳ ͳ Related facts 1 Series D Addition and Subtraction ͳ ͳ Subtraction mental strategies ACMNA055 Recall addition facts for single-digit numbers and related subtraction facts to develop increasingly efficient mental strategies for computation.

(NA) Addition and Subtraction ͳ ͳ Magic mental addition ͳ ͳ Magic mental subtraction ͳ ͳ Complements to 50 and 100 ͳ ͳ Add Two 2-Digit Numbers ͳ ͳ Add Three 2-Digit Numbers ͳ ͳ Add 3-Digit Numbers ͳ ͳ Add 3-Digit Numbers: Regroup ͳ ͳ Problems: Add and Subtract Series D Addition and Subtraction ͳ ͳ Subtraction mental strategies ACMNA056 Recall multiplication facts of two, three, five and ten and related division facts. (NA) Multiplication ͳ ͳ Related facts 2 ͳ ͳ Groups of Two ͳ ͳ Groups of Three ͳ ͳ Groups of Five ͳ ͳ Groups of Ten ͳ ͳ Multiplication Arrays (NA) Division ͳ ͳ Dividing Twos ͳ ͳ Dividing Threes ͳ ͳ Dividing Fives ͳ ͳ Dividing Tens Series D Multiplication and Division ͳ ͳ Introducing Multiplication ͳ ͳ Multiplication Facts ͳ ͳ Division Australian Curriculum Mathletics Activities Mathletics Workbooks * In Development