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AUSTRALIAN NATIONAL CURRICULUM & MATHLETICS www.mathletics.com.au
AUSTRALIAN CURRICULUM MATHEMATICS & MATHLETICS 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 © 3P Learning 3
AUSTRALIAN CURRICULUM MATHEMATICS & MATHLETICS Foundation Australian Curriculum Mathletics Activities Mathletics Workbooks Number and Algebra Number and place value ACMNA001 (NA) Number Order Series A Numbers and Patterns Establish understanding of the language and ͳͳ Numbers to 10 ͳͳ Numbers to 10 processes of counting by naming numbers in ͳͳ Order Numbers to 20 ͳͳ Numbers to 20 sequences, initially to and from 20, moving ͳͳ 1 to 30 ͳͳ Numbers to 30 from any starting point. ACMNA002 (NA) Number Order Series A Numbers and Patterns Connect number names, numerals and ͳͳ Making Teen Numbers* ͳͳ Numbers to 10 quantities, including zero, initially up to 10 and ͳͳ Matching Numbers* ͳͳ Numbers to 20 then beyond. ͳͳ The 1 comes first* ͳͳ Numbers to 30 ACMNA003 (NA) Number Order Series A Numbers and Patterns Subitise small collections of objects. ͳͳ Count to 5* ͳͳ Numbers to 10 ͳͳ 5 Flash* ACMNA289 (NA) Number Order Series A Numbers and Patterns Compare, order and make correspondences ͳͳ More, less or the same* ͳͳ Numbers to 10 between collections, initially to 20, and explain ͳͳ First is the worst* ͳͳ Numbers to 20 reasoning. ͳͳ Numbers to 30 ͳͳ Ordinal Numbers ACMNA004 (NA) Operations with Number Series A Operations with Number Represent practical situations to model addition ͳͳ Model Addition ͳͳ Addition and sharing. ͳͳ Adding to Ten ͳͳ Subtraction ͳͳ Model Subtraction ͳͳ Grouping and Sharing ͳͳ Subtracting from Ten ͳͳ Share the Treasure ͳͳ Adding to Make 5 and Ten* ͳͳ Fair or unfair* Patterns and algebra ACMNA005 (NA) Patterns - Simple Patterns Series A Numbers and Patterns Sort and classify familiar objects and explain the ͳͳ Colour Patterns ͳͳ Patterns basis for these classifications. Copy, continue and ͳͳ Missing it! create patterns with objects and drawings. ͳͳ Sort it!* Measurement and Geometry Using units of measurement ACMMG006 (MG) Measurement Series A Measurement Use direct and indirect comparisons to decide ͳͳ Everyday Length ͳͳ Length which is longer, heavier or holds more, and ͳͳ Everyday Mass ͳͳ Mass explain reasoning in everyday language. ͳͳ Balancing Act ͳͳ Volume and Capacity * In Development 4 © 3P Learning
AUSTRALIAN CURRICULUM MATHEMATICS & MATHLETICS Foundation Australian Curriculum Mathletics Activities Mathletics Workbooks ACMMG007 (MG) Measurement Series A Time, Money and Data Compare and order the duration of events ͳͳ Ordering Events* ͳͳ Time using the everyday language of time. ACMMG008 (MG) Measurement Series A Time, Money and Data Connect days of the week to familiar events ͳͳ Days of the Week ͳͳ Time and actions. Shape ACMMG009 (MG) Shape and Location Series A Space and Shape Sort, describe and name familiar two- ͳͳ Match the Object ͳͳ 2D Space dimensional shapes and three-dimensional ͳͳ Collect the Shape ͳͳ 3D Space objects in the environment. Location and transformation ACMMG010 (MG) Shape and Location Series A Space and Shape Describe position and movement. ͳͳ Where is it? ͳͳ Position ͳͳ Move it!* Statistics and Probability Data representation and interpretation ACMSP011 (SP) Data Series A Time, Money and Data Answer yes/no questions to collect information. ͳͳ Who has the goods? ͳͳ Data ͳͳ Dogs or cats?* * In Development © 3P Learning 5
AUSTRALIAN CURRICULUM MATHEMATICS & MATHLETICS Year 1 Australian Curriculum Mathletics Activities Mathletics Workbooks Number and Algebra Number and place value ACMNA012 (NA) Numbers to 30 Series B Numbers Develop confidence with number sequences to ͳͳ Counting Forwards ͳͳ Numbers to 20 and from 100 by ones from any starting point. ͳͳ Counting Backwards ͳͳ Numbers to 50 Skip count by twos, fives and tens starting from (NA) Number and Shape Patterns ͳͳ Numbers to 100 zero. ͳͳ Counting by Twos ͳͳ Skip counting ͳͳ Counting by Fives ͳͳ Counting by Tens ͳͳ Counting Coins* ͳͳ Continue the count* ACMNA013 (NA) Numbers to 30 Series B Numbers Recognise, model, read, write and order ͳͳ Reading Numbers to 30 ͳͳ Ordinal Numbers numbers to at least 100. Locate these numbers ͳͳ Order Numbers to 20 ͳͳ Numbers to 20 on a number line. ͳͳ 1 to 30 ͳͳ Numbers to 50 ͳͳ 1st to 31st ͳͳ Numbers to 100 ͳͳ 1st to 10th* (NA) Numbers to 100 ͳͳ Going Up ͳͳ Going Down ͳͳ Arranging Numbers ͳͳ Number Lines ͳͳ Number Line Order ͳͳ 1 More, Ten Less* ͳͳ Put me on the Number Line* ACMNA014 (NA) Numbers to 100 Series B Numbers Count collections to 100 by partitioning ͳͳ Making Numbers Count ͳͳ Place Value to 99 numbers using place value. ͳͳ Making Big Numbers Count ͳͳ Expand me!* ͳͳ How many tens and ones?* ACMNA015 (NA) Addition and Subtraction Series B Operations with Number Represent and solve simple addition and ͳͳ Model Addition ͳͳ Addition subtraction problems using a range of ͳͳ Adding to Ten ͳͳ Subtraction strategies including counting on, partitioning ͳͳ Model Subtraction and rearranging parts. ͳͳ Subtracting from Ten ͳͳ All about Ten ͳͳ Addition Facts to 18 ͳͳ Addictive Addition ͳͳ Subtraction Facts to 18 ͳͳ Simple Subtraction ͳͳ Columns that Add ͳͳ Columns that Subtract ͳͳ Adding Ten or One* ͳͳ Double Trouble* * In Development 6 © 3P Learning
AUSTRALIAN CURRICULUM MATHEMATICS & MATHLETICS Year 1 Australian Curriculum Mathletics Activities Mathletics Workbooks ACMNA015 (continued) (NA) Addition and Subtraction ͳͳ Turn me around* ͳͳ Bonds to Ten* ͳͳ Bonds to Twenty* ͳͳ Bridge to Ten* Fractions and decimals ACMNA016 (NA) Numbers to 30 Series B Numbers Recognise and describe one-half as one of two ͳͳ Halves and Quarters ͳͳ Fractions equal parts of a whole. ͳͳ Is it half?* ͳͳ Fair Shares* Money and financial mathematics ACMNA017 (NA) Money Series B Time and Money Recognise, describe and order Australian coins ͳͳ Coin Order* ͳͳ Money according to their value. Patterns and algebra ACMNA018 (NA) Number and Shape Patterns Series B Patterns and Investigate and describe number patterns ͳͳ Counting by Twos Relationships formed by skip counting and patterns with ͳͳ Counting by Fives ͳͳ Patterns and Rules objects. ͳͳ Counting by Tens Series B Numbers ͳͳ Simple Patterns ͳͳ Skip counting ͳͳ Colour Patterns ͳͳ Missing it! ͳͳ Pattern Error ͳͳ 3 Stripes* ͳͳ On and Off Tens* Measurement and Geometry Using units of measurement ACMMG019 (MG) Length and Capacity Series B Measurement Measure and compare the lengths and ͳͳ Everyday Length ͳͳ Length capacities of pairs of objects using uniform ͳͳ How Long is That? ͳͳ Volume and Capacity informal units. ͳͳ Measuring Length ͳͳ Filling Fast! ͳͳ How Full? ͳͳ Compare the Pairs - Capacity* ͳͳ Compare the Pairs - Length* ACMMG020 (MG) Time Series B Time and Money Tell time to the half-hour. ͳͳ Hour Times ͳͳ Time ͳͳ Half Hour Times ͳͳ Digital and Analogue Time* * In Development © 3P Learning 7
AUSTRALIAN CURRICULUM MATHEMATICS & MATHLETICS Year 1 Australian Curriculum Mathletics Activities Mathletics Workbooks Measurement and Geometry Using units of measurement ACMMG021 (MG) Time Series B Time and Money Describe duration using months, weeks, days ͳͳ Days of the Week ͳͳ Time and hours. ͳͳ Months of the Year ͳͳ Using a Calendar ͳͳ Month Order* Shape ACMMG022 (MG) Shape and Location Series B Space and Shape Recognise and classify familiar two-dimensional ͳͳ Collect the Shapes ͳͳ 2D Space shapes and three-dimensional objects using ͳͳ Match the Object ͳͳ 3D Space obvious features. ͳͳ Collect the Objects ͳͳ Relate Shapes and Solids ͳͳ Corner, face or edge?* ͳͳ Corners and sides* Location and transformation ACMMG023 (MG) Shape and Location Series B Space and Shape Give and follow directions to familiar locations. ͳͳ Where is it? ͳͳ Position ͳͳ Left or Right? Statistics and Probability Chance ACMSP024 (SP) Data Series B Chance and Data Identify outcomes of familiar events involving ͳͳ Will, Won't or Might ͳͳ Chance chance and describe them using everyday language such as ‘will happen’, ‘won’t happen’ or ‘might happen’. Data representation and interpretation ACMSP262 (SP) Data Series B Chance and Data Choose simple questions and gather responses. ͳͳ Which Question?* ͳͳ Data ACMSP263 (SP) Data Series B Chance and Data Represent data with objects and drawings ͳͳ More or Less? ͳͳ Data where one object or drawing represents one ͳͳ Who has the Goods? data value. Describe the displays. ͳͳ Picture Graphs* * In Development 8 © 3P Learning
AUSTRALIAN CURRICULUM MATHEMATICS & MATHLETICS Year 2 Australian Curriculum Mathletics Activities Mathletics Workbooks Number and Algebra Number and place value ACMNA026 (NA) Number and Shape Patterns Series C Numbers Investigate number sequences, initially those ͳͳ Counting by Twos ͳͳ Skip Counting increasing and decreasing by twos, threes, fives ͳͳ Counting by Fives Series C Patterns and and ten from any starting point, then moving to ͳͳ Counting by Tens Relationships other sequences. ͳͳ Counting by Threes* ͳͳ Patterns and Rules ACMNA027 (NA) Numbers to 100 Series C Numbers Recognise, model, represent and order ͳͳ Making Big Numbers Count ͳͳ Numbers to 999 numbers to at least 1 000. ͳͳ Compare Numbers to 100 ͳͳ Ordinal Numbers ͳͳ 1st to 31st ͳͳ Number Line Order (NA) Numbers to 1 000 ͳͳ Number Line Order to 1 000* ͳͳ Model Numbers ͳͳ Which is Bigger? ͳͳ Which is Smaller? ACMNA028 (NA) Numbers to 1 000 Series C Numbers Group, partition and rearrange collections up ͳͳ Model Numbers ͳͳ Place Value to 999 to 1 000 in hundreds, tens and ones to facilitate ͳͳ Hundreds, Tens and Units* more efficient counting. ͳͳ Does It Match?* ͳͳ Expander Madness* ACMNA029 (NA) Adding and Subtracting Series C Operations with Number Explore the connection between addition and ͳͳ All About ten ͳͳ Addition subtraction. ͳͳ Addition facts to 18 ͳͳ Subtraction ͳͳ Subtraction facts to 18 ͳͳ Basic Fact Families ACMNA030 (NA) Adding and Subtracting Series C Operations with Number Solve simple addition and subtraction problems ͳͳ All About ten ͳͳ Addition using a range of efficient mental and written ͳͳ Addition facts to 18 ͳͳ Subtraction strategies. ͳͳ Subtraction facts to 18 ͳͳ Subtract Numbers ͳͳ Addictive Addition ͳͳ Simple Subtraction ͳͳ Columns that Add ͳͳ Subtract Numbers ͳͳ Columns that Subtract ͳͳ What is missing?* ͳͳ Doubles and Halves* ͳͳ Terrific Turnarounds* ͳͳ Bridge it* ͳͳ Add it on the Grid* * In Development © 3P Learning 9
AUSTRALIAN CURRICULUM MATHEMATICS & MATHLETICS Year 2 Australian Curriculum Mathletics Activities Mathletics Workbooks Number and Algebra Number and place value ACMNA031 (NA) Multiplying and Dividing Series C Operations with Number Recognise and represent multiplication as ͳͳ Groups of Two ͳͳ Multiplication repeated addition, groups and arrays. ͳͳ Groups of Three ͳͳ Groups of Five ͳͳ Groups of Ten ͳͳ Multiplication Arrays ͳͳ Repeated Addition* ACMNA032 (NA) Multiplying and Dividing Series C Operations with Number Recognise and represent division as grouping ͳͳ Dividing Twos ͳͳ Division into equal sets and solve simple problems using ͳͳ Dividing Threes these representations. ͳͳ Dividing Fives ͳͳ Dividing Tens ͳͳ Fair Shares* ͳͳ How Many Groups?* Fractions and decimals ACMNA033 (NA) Numbers to 100 Series C Numbers Recognise and interpret common uses of ͳͳ Halves and Quarters ͳͳ Fractions halves, quarters and eighths of shapes and (NA) Fractions collections. ͳͳ Eighths* ͳͳ Halves, Quarters and Eighths of a Collection* Money and financial mathematics ACMNA034 (NA) Money Series C Time and Money Count and order small collections of Australian ͳͳ Who has the money? ͳͳ Money coins and notes according to their value. ͳͳ Counting Coins* ͳͳ How much?* ͳͳ Match the Money* Patterns and algebra ACMNA035 (NA) Number and Shape Patterns Series C Patterns and Describe patterns with numbers and identify ͳͳ Counting by Twos Relationships missing elements. ͳͳ Counting by Fives ͳͳ Patterns and Rules ͳͳ Counting by Tens ͳͳ Twos, Fives or Tens?* ACMNA036 (NA) Adding and Subtracting Series C Patterns and Solve problems by using number sentences for ͳͳ Solve it!* Relationships addition or subtraction. ͳͳ Number Relationships ͳͳ Addition ͳͳ Subtraction * In Development 10 © 3P Learning
AUSTRALIAN CURRICULUM MATHEMATICS & MATHLETICS Year 2 Australian Curriculum Mathletics Activities Mathletics Workbooks Measurement and Geometry Using units of measurement ACMMG037 (MG) Measurement Series C Measurement Compare and order several shapes and objects ͳͳ Comparing Length ͳͳ Length based on length, area, volume and capacity ͳͳ Filling Fast ͳͳ Volume and Capacity using appropriate uniform informal units. ͳͳ How full? ͳͳ Comparing Volume ͳͳ Find the Area* ͳͳ Find the Length* ACMMG038 (MG) Measurement Series C Measurement Compare masses of objects using balance ͳͳ Everyday Mass ͳͳ Mass scales. ͳͳ Balancing Act ͳͳ Balance the Scales* ACMMG039 (MG) Time Series C Time and Money Tell time to the quarter-hour, using the ͳͳ Hour Times ͳͳ Time language of 'past' and 'to'. ͳͳ Half Hour Times ͳͳ Quarter to and Past* ͳͳ Digital Time* ACMMG040 (MG) Time Series C Time and Money Name and order months and seasons. ͳͳ Months of the Year ͳͳ Time ͳͳ Which Season?* ACMMG041 (MG) Time Series C Time and Money Use a calendar to identify the date and ͳͳ Using a calendar ͳͳ Time determine the number of days in each month. ͳͳ When is it?* Shape ACMMG042 (MG) Shape and Location Series C Space and Shape Describe and draw two-dimensional shapes, ͳͳ Collect more shapes ͳͳ 2D Space with and without digital technologies. ͳͳ More Sides and Corners* ͳͳ Straight Lines and Curves* ACMMG043 (MG) Shape and Location Series C Space and Shape Describe the features of three-dimensional ͳͳ Collect the Objects ͳͳ 3D Space objects. ͳͳ Match the Objects ͳͳ Relate Shapes and Solids ͳͳ Corners, Edges and Faces* Location and transformation ACMMG044 (MG) Shape and Location Series C Space and Shape Interpret simple maps of familiar locations and ͳͳ Following Directions ͳͳ Position identify the relative positions of key features. ͳͳ Left or Right? * In Development © 3P Learning 11
AUSTRALIAN CURRICULUM MATHEMATICS & MATHLETICS Year 2 Australian Curriculum Mathletics Activities Mathletics Workbooks Measurement and Geometry Location and transformation ACMMG045 (MG) Shape and Location Series C Space and Shape Investigate the effect of one-step slides and ͳͳ Flip, Slide, Turn ͳͳ 2D Space flips with and without digital technologies. ACMMG046 (MG) Shape and Location Series C Space and Shape Identify and describe half and quarter turns. ͳͳ Half and Quarter Turns* ͳͳ 2D Space Statistics and Probability Chance ACMSP047 (SP) Chance and Data Series C Chance and Data Identify practical activities and everyday events ͳͳ What are the chances? ͳͳ Chance that involve chance. Describe outcomes as ͳͳ Likely or Unlikely?* ‘likely’ or ‘unlikely’ and identify some events as ‘certain’ or ‘impossible’. Data representation and interpretation ACMSP048 (SP) Chance and Data Series C Chance and Data Identify a question of interest based on one ͳͳ Match the Data* ͳͳ Data categorical variable. Gather data relevant to the question. ACMSP049 (SP) Chance and Data Series C Chance and Data Collect, check and classify data ͳͳ Which Graph Works?* ͳͳ Data ACMSP050 (SP) Chance and Data Series C Chance and Data Create displays of data using lists, table and ͳͳ Who has the goods? ͳͳ Data picture graphs and interpret them. ͳͳ Sorting Data ͳͳ Tallies ͳͳ More Tallies* * In Development 12 © 3P Learning
AUSTRALIAN CURRICULUM MATHEMATICS & MATHLETICS Year 3 Australian Curriculum Mathletics Activities Mathletics Workbooks Number and Algebra Number and place value ACMNA051 (NA) Patterns and Algebra Series D Reading and Investigate the conditions required for a ͳͳ Odd and even numbers 1 Understanding Whole Numbers number to be odd or even and identify odd ͳͳ Looking at whole numbers and even numbers. ACMNA052 (NA) Whole Numbers Series D Reading and Recognise, model, represent and order ͳͳ Model numbers Understanding Whole Numbers numbers to at least 10 000. ͳͳ Place the number* ͳͳ Place value of whole numbers ͳͳ Making big numbers count ACMNA053 (NA) Whole Numbers Series D Reading and Apply place value to partition, rearrange and ͳͳ Expanded notation Understanding Whole Numbers regroup numbers to at least 10 000 to assist ͳͳ Place value of whole numbers calculations and solve problems. ACMNA054 (NA) Addition and Subtraction Series D Addition and Recognise and explain the connection ͳͳ Fact families: Add and subtract Subtraction between addition and subtraction. ͳͳ Related facts 1 ͳͳ Subtraction mental strategies ACMNA055 (NA) Addition and Subtraction Series D Addition and Recall addition facts for single-digit numbers ͳͳ Magic mental addition Subtraction and related subtraction facts to develop ͳͳ Magic mental subtraction ͳͳ Subtraction mental strategies increasingly efficient mental strategies for ͳͳ Complements to 50 and 100 computation. ͳͳ Add Two 2-Digit Numbers ͳͳ Add Three 2-Digit Numbers ͳͳ Add 3-Digit Numbers ͳͳ Add 3-Digit Numbers: Regroup ͳͳ Problems: Add and Subtract ACMNA056 (NA) Multiplication Series D Multiplication and Recall multiplication facts of two, three, five ͳͳ Related facts 2 Division and ten and related division facts. ͳͳ Groups of Two ͳͳ Introducing Multiplication ͳͳ Groups of Three ͳͳ Multiplication Facts ͳͳ Groups of Five ͳͳ Division ͳͳ Groups of Ten ͳͳ Multiplication Arrays (NA) Division ͳͳ Dividing Twos ͳͳ Dividing Threes ͳͳ Dividing Fives ͳͳ Dividing Tens * In Development © 3P Learning 13
AUSTRALIAN CURRICULUM MATHEMATICS & MATHLETICS Year 3 Australian Curriculum Mathletics Activities Mathletics Workbooks Number and Algebra Number and place value ACMNA057 (NA) Division Series D Multiplication and Represent and solve problems involving ͳͳ Problems: Times and Divide Division multiplication using efficient mental and ͳͳ Mental Multiplication written strategies and appropriate digital Strategies technologies. Fractions and decimals ACMNA058 (NA) Fractions Series D Fractions Model and represent unit fractions including ͳͳ Fractions of a Collection ͳͳ Introducing Fractions 1/2, 1/4, 1/3, 1/5 and their multiples to a ͳͳ Halves and Quarters complete whole. ͳͳ What Fraction is Shaded? ͳͳ Model Fractions ͳͳ Place the fractions 1* Money and financial mathematics ACMNA059 (NA) Money Series D Addition and Represent money values in multiple ways ͳͳ Money Subtraction and count the change required for simple ͳͳ How much Change? ͳͳ Money transactions to the nearest five cents. Patterns and algebra ACMNA060 (NA) Patterns and Algebra Series D Patterns and Algebra Describe, continue, and create number ͳͳ Increasing Patterns ͳͳ Patterns and Functions patterns resulting from performing addition or ͳͳ Decreasing Patterns subtraction. ͳͳ Find the Missing Number 1 Measurement and Geometry Using units of measurement ACMMG061 (MG) Measurement Series D Measurement Measure, order and compare objects using ͳͳ Centimetres and Metres ͳͳ Units of Length familiar metric units of length, mass and ͳͳ How many Blocks? ͳͳ Volume and capacity capacity. ͳͳ Filling Fast! ͳͳ Mass ACMMG062 (MG) Time Series D Time Tell time to the minute and investigate the ͳͳ What is the Time? ͳͳ Telling time relationship between units of time. ͳͳ Using Timetables ͳͳ Measuring time * In Development 14 © 3P Learning
AUSTRALIAN CURRICULUM MATHEMATICS & MATHLETICS Year 3 Australian Curriculum Mathletics Activities Mathletics Workbooks Shape ACMMG063 (MG) Shape and Location Series D Space, Shape and Make models of three-dimensional objects ͳͳ Prisms and Pyramids Position and describe key features. ͳͳ Relate Shapes and Solids ͳͳ Investigating 3D shapes Location and transformation ACMMG065 (MG) Shape and Location Series D Space, Shape and Create and interpret simple grid maps to show ͳͳ Coordinate Meeting Place Position position and pathways. ͳͳ Using a Key ͳͳ Position ͳͳ Following Directions ACMMG066 (MG) Shape and Location Series D Space, Shape and Identify symmetry in the environment. ͳͳ Symmetry or Not? Position ͳͳ Investigating 2D shapes Geometric reasoning ACMMG064 (MG) Shape and Location Series D Space, Shape and Identify angles as measures of turn and ͳͳ Comparing angles Position compare angle sizes in everyday situations. ͳͳ Lines and Angles Statistics and Probability Chance ACMSP067 (SP) Chance and Data Series D Chance and Data Conduct chance experiments, identify and ͳͳ What are the Chances? ͳͳ Chance describe possible outcomes and recognise variation in results. Data representation and interpretation ACMSP068 (SP) Chance and Data Series D Chance and Data Identify questions or issues for categorical ͳͳ Tallies ͳͳ Data variables. Identify data sources and plan methods of data collection and recording. ACMSP069 (SP) Chance and Data Series D Chance and Data Collect data, organise into categories and ͳͳ Making Graphs ͳͳ Data create displays using lists, tables, picture graphs and simple column graphs, with and without the use of digital technologies. ACMSP070 (SP) Chance and Data Series D Chance and Data Interpret and compare data displays. ͳͳ Reading from a Column Graph ͳͳ Data ͳͳ Interpreting Tables * In Development © 3P Learning 15
AUSTRALIAN CURRICULUM MATHEMATICS & MATHLETICS Year 4 Australian Curriculum Mathletics Activities Mathletics Workbooks Number and Algebra Number and place value ACMNA071 (NA) Whole Numbers Series E Reading and Investigate and use the properties of odd and ͳͳ Odd and Even Numbers 1 Understanding Whole Numbers even numbers. ͳͳ Looking at whole numbers ACMNA072 (NA) Whole Numbers Series E Reading and Recognise, represent and order numbers to at ͳͳ Which Is Greater? Understanding Whole Numbers least tens of thousands. ͳͳ Which Is Less? ͳͳ Looking at whole numbers ͳͳ Put in Order 1 ACMNA073 (NA) Whole Numbers Series E Reading and Apply place value to partition, rearrange and ͳͳ Expanded Notation Understanding Whole Numbers regroup numbers to at least tens of thousands ͳͳ Place value of whole numbers to assist calculations and solve problems. ACMNA074 (NA) Multiplication Series E Multiplication and Investigate number sequences involving ͳͳ Multiples Division multiples of 3, 4, 6, 7, 8, and 9. ͳͳ Multiply Multiples of 10 ͳͳ Using known facts ACMNA075 (NA) Multiplication Series E Multiplication and Recall multiplication facts up to 10 × 10 and ͳͳ Multiplication Facts Division related division facts. ͳͳ Groups of Four ͳͳ Multiplication facts ͳͳ Groups of Eight ͳͳ Division ͳͳ Groups of Five ͳͳ Groups of Ten ͳͳ Groups of Three ͳͳ Groups of Six ͳͳ Groups of Nine ͳͳ Groups of Seven (NA) Division ͳͳ Dividing Twos ͳͳ Dividing Fours ͳͳ Dividing Eights ͳͳ Dividing Fives ͳͳ Dividing Tens ͳͳ Dividing Threes ͳͳ Dividing Sixes ͳͳ Dividing Nines ͳͳ Dividing Sevens ͳͳ Division Facts (NA) Multiplication Fact Families ͳͳ Multiply and Divide * In Development 16 © 3P Learning
AUSTRALIAN CURRICULUM MATHEMATICS & MATHLETICS Year 4 Australian Curriculum Mathletics Activities Mathletics Workbooks ACMNA076 (NA) Multiplication Series E Multiplication and Develop efficient mental and written ͳͳ Mental Multiplication* Division strategies and use appropriate digital (NA) Division ͳͳ Mental multiplication technologies for multiplication and for division ͳͳ Mental Division* strategies where there is no remainder. Fractions and decimals ACMNA077 (NA) Fractions and Decimals Series E Fractions Investigate equivalent fractions used in ͳͳ Shading Equivalent Fractions ͳͳ Types of fractions contexts. ͳͳ Comparing Fractions 1 ͳͳ What Fraction is Shaded? ͳͳ Model Fractions ACMNA078 (NA) Fractions and Decimals Series E Fractions Count by quarters halves and thirds, including ͳͳ Unit Fractions ͳͳ Working with fractions with mixed numerals. Locate and represent ͳͳ Place the fractions 2* these fractions on a number line. ACMNA079 (NA) Fractions and Decimals Series E Fractions Recognise that the place value system can be ͳͳ Decimals from Words to Digits 1 ͳͳ Fractions, decimals and extended to tenths and hundredths. Make ͳͳ Decimal Place Value percentages connections between fractions and decimal ͳͳ Nearest Whole Number notation. Money and financial mathematics ACMNA080 (NA) Money Series E Addition and Solve problems involving purchases and the ͳͳ Money Subtraction calculation of change to the nearest five cents ͳͳ How much Change? ͳͳ Money with and without digital technologies. Patterns and algebra ACMNA081 (NA) Patterns and Algebra Series E Patterns and Algebra Explore and describe number patterns ͳͳ Number pattern tables* ͳͳ Patterns and Functions resulting from performing multiplication. ACMNA082 (NA) Division Series E Multiplication and Solve word problems by using number ͳͳ Problems: Times and Divide Division sentences involving multiplication or division ͳͳ Patterns and Functions where there is no remainder. ACMNA083 (NA) Patterns and Algebra Series E Patterns and Algebra Use equivalent number sentences involving ͳͳ Find the Missing Number 1 ͳͳ Division addition and subtraction to find unknown quantities. * In Development © 3P Learning 17
AUSTRALIAN CURRICULUM MATHEMATICS & MATHLETICS Year 4 Australian Curriculum Mathletics Activities Mathletics Workbooks Measurement and Geometry Using units of measurement ACMMG084 (MG) Measurement Series E Length, Perimeter and Use scaled instruments to measure and ͳͳ Centimetres and Metres Area compare lengths, masses, capacities and ͳͳ Using scaled instruments* ͳͳ Units of length temperatures. Series E Volume, Capacity and Mass ͳͳ Volume and capacity ͳͳ Mass ACMMG290 (MG) Measurement Series E Length, Perimeter and Compare objects using familiar metric units of ͳͳ Area of Shapes Area area and volume. ͳͳ Converting cm and mm ͳͳ Area ͳͳ Equal Areas Series E Volume, Capacity and ͳͳ How many blocks? Mass ͳͳ Volume and capacity ACMMG085 (MG) Measurement Series E Time Convert between units of time. ͳͳ Time facts* ͳͳ Measuring time ACMMG086 (MG) Measurement Series E Time Use am and pm notation and solve simple ͳͳ What time will it be? ͳͳ Measuring time time problems. Shape ACMMG087 (MG) Measurement Series E Length, Perimeter and Compare the areas of regular and irregular ͳͳ Equal Areas Area shapes by informal means. ͳͳ Area ACMMG088 (MG) 2D Space Series E Space, Shape and Compare and describe two-dimensional ͳͳ Make composite shapes* Position shapes that result from combining and - Lines, angles and shapes splitting common shapes, with and without the use of digital technologies. Location and transformation ACMMG090 (MG) Location Series E Space, Shape and Use simple scales, legends and directions to ͳͳ What Direction was That? Position interpret information contained in basic maps. ͳͳ Following Directions ͳͳ Position ͳͳ Coordinate Meeting Place ͳͳ Using a Key ACMMG091 (MG) 2D Space Series E Space, Shape and Create symmetrical patterns, pictures and ͳͳ Symmetry or not Position shapes with and without digital technologies. ͳͳ Lines, angles and shapes * In Development 18 © 3P Learning
AUSTRALIAN CURRICULUM MATHEMATICS & MATHLETICS Year 4 Australian Curriculum Mathletics Activities Mathletics Workbooks Geometric reasoning ACMMG089 (MG) 2D Space Series E Space, Shape and Compare angles and classify them as equal to, ͳͳ Comparing Angles Position greater than or less than a right angle. ͳͳ Right Angle Relation ͳͳ Lines, angles and shapes Statistics and Probability Chance ACMSP092 (SP) Chance and Data Series E Chance and Data Describe possible everyday events and order ͳͳ What are the Chances? ͳͳ Chance their chances of occurring. ACMSP093 (SP) Chance and Data Series E Chance and Data Identify everyday events where one cannot ͳͳ That’s Impossible!* ͳͳ Chance happen if the other happens. ACMSP094 (SP) Chance and Data Series E Chance and Data Identify events where the chance of one will ͳͳ Could it Happen?* ͳͳ Chance not be affected by the occurrence of the other. Data representation and interpretation ACMSP095 (SP) Chance and Data Series E Chance and Data Select and trial methods for data collection, ͳͳ Tallies ͳͳ Data including survey questions and recording ͳͳ Interpreting Tables sheets. ACMSP096 (SP) Chance and Data Series E Chance and Data Construct suitable data displays, with and ͳͳ Reading from a Column Graph ͳͳ Data without the use of digital technologies, from ͳͳ Making Graphs given or collected data. Include tables, column graphs and picture graphs where one picture can represent many data values. ACMSP097 (SP) Chance and Data Series E Chance and Data Evaluate the effectiveness of different ͳͳ Which graph?* ͳͳ Data displays in illustrating data features including variability. * In Development © 3P Learning 19
AUSTRALIAN CURRICULUM MATHEMATICS & MATHLETICS Year 5 Australian Curriculum Mathletics Activities Mathletics Workbooks Number and Algebra Number and place value ACMNA098 (NA) Whole Numbers Series F Multiplication and Identify and describe factors and multiples ͳͳ Multiples Division of whole numbers and use them to solve ͳͳ Divisibility Tests ͳͳ Mental multiplication strategies problems. (NA) Multiplying and Dividing ͳͳ Multiply Multiples of 10 ͳͳ Factors* ACMNA099 (NA) Whole Numbers Series F Reading and Use estimation and rounding to check the ͳͳ Rounding Numbers Understanding Whole Numbers reasonableness of answers to calculations. ͳͳ Nearest 10? ͳͳ Round and estimate ͳͳ Nearest 100? ͳͳ Nearest 1 000? (NA) Adding and Subtracting ͳͳ Estimation: Add and Subtract ACMNA100 (NA) Multiplying and Dividing Series F Multiplication and Solve problems involving multiplication of ͳͳ Contracted Multiplication Division large numbers by one- or two-digit numbers ͳͳ Mental Methods Multiplication 1 ͳͳ Mental multiplication strategies using efficient mental, written strategies and ͳͳ Mental Methods Division 1 ͳͳ Written methods appropriate digital technologies. ͳͳ Multiplication Facts ACMNA101 (NA) Multiplying and Dividing Series F Multiplication and Solve problems involving division by a ͳͳ Problems: Times and Divide Division one-digit number, including those that result in ͳͳ Short Division ͳͳ Written methods a remainder. ACMNA291 (NA) Multiplying and Dividing Series F Multiplication and Use efficient mental and written strategies and ͳͳ Division Facts Division apply appropriate digital technologies to solve ͳͳ Estimation: Multiply and Divide ͳͳ Mental multiplication strategies problems. ͳͳ Mental division strategies ͳͳ Written methods Fractions and decimals ACMNA102 (NA) Fractions Series F Fractions, Decimals and Compare and order common unit fractions and ͳͳ Shading Equivalent Fractions Percentages locate and represent them on a number line. ͳͳ Comparing Fractions 1 ͳͳ Fractions ͳͳ Unit Fractions ͳͳ Place the fractions 2* (NA) Decimals ͳͳ Decimals on a Number Line ACMNA103 (NA) Fractions Series F Fractions, Decimals and Investigate strategies to solve problems ͳͳ Add: Common Denominator Percentages involving addition and subtraction of fractions ͳͳ Subtract: Common Denominator ͳͳ Calculating with the same denominator. ͳͳ One take Fraction * In Development 20 © 3P Learning
AUSTRALIAN CURRICULUM MATHEMATICS & MATHLETICS Year 5 Australian Curriculum Mathletics Activities Mathletics Workbooks ACMNA104 (NA) Decimals Series F Fractions, Decimals and Recognise that the number system can be ͳͳ Divide Decimals: 10, 100, 1 000 Percentages extended beyond hundredths. ͳͳ Multiply Decimals: 10, 100, 1 000 ͳͳ Fractions, decimals and ͳͳ Decimals to Fractions 1 percentages ͳͳ Fractions to Decimals ACMNA105 (NA) Decimals Series F Fractions, Decimals and Compare, order and represent decimals. ͳͳ Comparing Decimals Percentages ͳͳ Decimal Order ͳͳ Fractions, decimals and ͳͳ Nearest Whole Number percentages Money and financial mathematics ACMNA106 (NA) Money Create simple financial plans. ͳͳ Budgets* Patterns and algebra ACMNA107 (NA) Patterns and Algebra Series F Patterns and Algebra Describe, continue and create patterns with ͳͳ Describing Patterns ͳͳ Patterns and Functions fractions, decimals and whole numbers resulting from addition and subtraction. ACMNA121 (NA) Patterns and Algebra Series F Patterns and Algebra Use equivalent number sentences involving ͳͳ Missing Values ͳͳ Equations and Equivalence multiplication and division to find unknown ͳͳ Missing Values: Decimals quantities. ͳͳ I am Thinking of a Number! Measurement and Geometry Using units of measurement ACMMG108 (MG) Length, Area and Perimeter Series F Length, Perimeter and Choose appropriate units of measurement for ͳͳ Centimetres and Metres Area length, area, volume, capacity and mass. ͳͳ Metres and Kilometres ͳͳ Units of length ͳͳ Converting cm and mm Series F Volume, Capacity and ͳͳ Converting Units of Length Mass (MG) Volume, Capacity and Mass ͳͳ Volume and capacity ͳͳ Volume: Rectangular Prisms 1 ͳͳ Mass ͳͳ Litre Conversions ͳͳ Grams and Kilograms ͳͳ Converting Units of Mass ͳͳ How many Blocks? ACMMG109 (MG) Length, Area and Perimeter Series F Length, Perimeter and Calculate the perimeter and area of rectangles ͳͳ Perimeter of Shapes Area using familiar metric units. ͳͳ Perimeter: Squares and ͳͳ Perimeter Rectangles ͳͳ Area of Shapes ͳͳ Area: Squares and Rectangles * In Development © 3P Learning 21
AUSTRALIAN CURRICULUM MATHEMATICS & MATHLETICS Year 5 Australian Curriculum Mathletics Activities Mathletics Workbooks Measurement and Geometry Using units of measurement ACMMG110 (MG) Time Series F Time Compare 12- and 24-hour time systems and ͳͳ 24 Hour Time ͳͳ Measuring time convert between them. ͳͳ Using Timetables ͳͳ Time Mentals Shape ACMMG111 (MG) Shape and Transformation Series F Geometry Connect three-dimensional objects with ͳͳ Match the net* ͳͳ 3D Shapes their nets and other two-dimensional representations. Location and transformation ACMMG113 (MG) Location Series F Position Use a grid reference system to describe ͳͳ Map Coordinates ͳͳ Coordinates locations. Describe routes using landmarks and ͳͳ Using a Key directional language. ͳͳ Scale ͳͳ More Directions! ACMMG114 (MG) Shape and Transformation Series F Geometry Describe translations, reflections and rotations ͳͳ Symmetry or Not? ͳͳ Transformation, tessellation and of two-dimensional shapes. Identify line and ͳͳ Rotational Symmetry symmetry rotational symmetries. ACMMG115 (MG) Shape and Transformation Series F Geometry Apply the enlargement transformation to ͳͳ Transformations ͳͳ Transformation, tessellation and familiar two-dimensional shapes and explore symmetry the properties of the resulting image compared with the original. Geometric reasoning ACMMG112 (MG) Angles Series F Geometry Estimate, measure and compare angles using ͳͳ Estimating Angles ͳͳ Lines and angles degrees. Construct angles using a protractor. ͳͳ Measuring Angles ͳͳ Classifying Angles ͳͳ Right Angle Relation * In Development 22 © 3P Learning
AUSTRALIAN CURRICULUM MATHEMATICS & MATHLETICS Year 5 Australian Curriculum Mathletics Activities Mathletics Workbooks Statistics and Probability Chance ACMSP116 (SP) Chance and Data Series F Chance and Probability List outcomes of chance experiments involving ͳͳ How many Combinations? ͳͳ Chance and probability equally likely outcomes and represent probabilities of those outcomes using fractions. ACMSP117 (SP) Chance and Data Series F Chance and Probability Recognise that probabilities range from 0 to 1. ͳͳ Find the Probability ͳͳ Chance and probability Data representation and interpretation ACMSP118 (SP) Chance and Data Series F Data Representation Pose questions and collect categorical or ͳͳ Which question works?* ͳͳ Collecting and analysing data numerical data by observation or survey. ACMSP119 (SP) Chance and Data Series F Data Representation Construct displays, including column graphs, ͳͳ Reading from a Column Graph ͳͳ Topics 1 to 3 dot plots and tables, appropriate for data type, ͳͳ Divided Bar Graphs with and without the use of digital technologies. ACMSP120 (SP) Chance and Data Series F Data Representation Describe and interpret different data sets in ͳͳ Interpreting Tables ͳͳ Collecting and analysing data context. * In Development © 3P Learning 23
AUSTRALIAN CURRICULUM MATHEMATICS & MATHLETICS Year 6 Australian Curriculum Mathletics Activities Mathletics Workbooks Number and Algebra Number and place value ACMNA122 (NA) Whole Numbers Series G Multiplication and Identify and describe properties of prime, ͳͳ Prime or Composite? Division composite, square and triangular numbers. ͳͳ Square and triangular numbers* ͳͳ Mental division strategies ͳͳ Divisibility Tests ACMNA123 (NA) Multiplying and Dividing Series G Multiplication and Select and apply efficient mental and written ͳͳ Multiplication Facts Division strategies and appropriate digital technologies ͳͳ Division Facts Series G Addition and Subtraction to solve problems involving all four operations ͳͳ Mental Methods Multiplication 1 with whole numbers. ͳͳ Mental Methods Division 1 (NA) Adding and Subtracting ͳͳ Mental Methods Addition 1* ͳͳ Mental Methods Subtraction 1* ACMNA124 (NA) Whole Numbers Series G Reading and Investigate everyday situations that use positive ͳͳ Negative or Positive? Understanding Whole Numbers and negative whole numbers and zero. Locate ͳͳ Ordering integers ͳͳ Types of numbers and represent these numbers on a number line. ͳͳ Integers: Add and Subtract Fractions and decimals ACMNA125 (NA) Fractions Series G Fractions, Decimals and Compare fractions with related denominators ͳͳ Equivalent Fractions Percentages and locate and represent them on a number line. ͳͳ Place the fractions 3* ͳͳ Fractions ACMNA126 (NA) Operations with Fractions Series G Fractions, Decimals and Solve problems involving addition and ͳͳ Add: Common Denominator Percentages subtraction of fractions with the same or ͳͳ Subtract: Common Denominator ͳͳ Calculating related denominators. ͳͳ Fraction Word Problems ͳͳ More Fraction Problems ͳͳ One take Fraction ACMNA127 (NA) Operations with Fractions Series G Fractions, Decimals and Find a simple fraction of a quantity where the ͳͳ Unit Fractions Percentages result is a whole number, with and without ͳͳ Fraction by Whole Number ͳͳ Fractions of an amount digital technologies. ACMNA128 (NA) Adding and Subtracting Series G Fractions, Decimals and Add and subtract decimals, with and without ͳͳ Adding Decimals Percentages digital technologies, and use estimation and ͳͳ Subtracting Decimals ͳͳ Calculating rounding to check the reasonableness of ͳͳ Adding and Subtracting Decimals answers. ͳͳ Decimal Complements (NA) Decimals and Percentages ͳͳ Estimate Decimal Differences 1 ͳͳ Rounding Decimals * In Development 24 © 3P Learning
AUSTRALIAN CURRICULUM MATHEMATICS & MATHLETICS Year 6 Australian Curriculum Mathletics Activities Mathletics Workbooks ACMNA129 (NA) Decimals and Percentages Series G Fractions, Decimals and Multiply decimals by whole numbers and ͳͳ Decimal by Whole Number Percentages perform divisions that result in terminating ͳͳ Calculating decimals, with and without digital technologies . ACMNA130 (NA) Decimals and Percentages Series G Fractions, Decimals and Multiply and divide decimals by powers of 10. ͳͳ Multiply Decimals: 10, 100, 1 000 Percentages ͳͳ Divide Decimals: 10, 100, 1 000 ͳͳ Calculating ACMNA131 (NA) Decimals and Percentages Series G Fractions, Decimals and Make connections between equivalent ͳͳ Decimal to Percentage Percentages fractions, decimals and percentages ͳͳ Decimals to Fractions 2 ͳͳ Decimal fractions Money and financial mathematics ACMNA132 (NA) Decimals and Percentages Series G Fractions, Decimals and Investigate and calculate percentage discounts ͳͳ Percentage of a quantity Percentages of 10%, 25% and 50% on sale items, with and ͳͳ Fractions of an amount without digital technologies. Patterns and algebra ACMNA133 (NA) Patterns and Algebra Series G Patterns and Algebra Continue and create sequences involving whole ͳͳ Describing Patterns ͳͳ Patterns and functions numbers, fractions and decimals. Describe the ͳͳ Find the Missing Number 1 rule used to create the sequence. ͳͳ Find the Missing Number 2 ͳͳ Missing Values: Decimals ͳͳ Table of Values ͳͳ I am Thinking of a Number! ACMNA134 (NA) Patterns and Algebra Series G Patterns and Algebra Explore the use of brackets and order of ͳͳ Order of Operations 1 ͳͳ Properties of arithmetic operations to write number sentences. Measurement and Geometry Using units of measurement ACMMG135 (MG) Length, Area and Perimeter Series G Length, Perimeter and Connect decimal representations to the metric ͳͳ Converting Units of Length Area system. ͳͳ Units of length ACMMG136 (MG) Length, Area and Perimeter Series G Length, Perimeter and Convert between common metric units of ͳͳ Converting Units* Area length, mass and capacity. ͳͳ Units of length Series G Volume, Capacity and Mass ͳͳ Volume and capacity * In Development © 3P Learning 25
AUSTRALIAN CURRICULUM MATHEMATICS & MATHLETICS Year 6 Australian Curriculum Mathletics Activities Mathletics Workbooks Measurement and Geometry Using units of measurement ACMMG137 (MG) Volume, Capacity and Mass Series G Length, Perimeter and Solve problems involving the comparison of ͳͳ Capacity Addition Area lengths and areas using appropriate units. ͳͳ Units of length Topic 3 - Area ACMMG138 (MG) Volume, Capacity and Mass Series G Volume, Capacity and Connect volume and capacity and their units of ͳͳ Volume and capacity* Mass measurement. ͳͳ Volume and capacity ACMMG139 (MG) Time and Location Series G Time Interpret and use timetables. ͳͳ Using Timetables ͳͳ Telling time Shape ACMMG140 (MG) 3D Space Series G Geometry Construct simple prisms and pyramids. ͳͳ Prisms and pyramids ͳͳ 3D shapes Location and transformation ACMMG142 (MG) Transformations Series G Geometry Investigate combinations of translations, ͳͳ Transformations ͳͳ Transformation, tessellation and reflections and rotations, with and without the ͳͳ Transformations: Coordinate symmetry use of digital technologies. plane ACMMG143 (MG) Transformations Series H Introduce the Cartesian coordinate system ͳͳ Graphing from a Table of Values ͳͳ The Number Plane using all four quadrants. ͳͳ Ordered Pairs Geometric reasoning ACMMG141 (MG) Lines and Angles Series G Geometry Investigate, with and without digital ͳͳ Estimating Angles ͳͳ Lines and angles technologies, angles on a straight line, angles ͳͳ Measuring Angles at a point and vertically opposite angles. Use ͳͳ Right Angle Relation results to find unknown angles. ͳͳ Classifying Angles Statistics and Probability Chance ACMSP144 (SP) Chance and Data Series G Chance and Probability Describe probabilities using fractions, decimals ͳͳ Probability Scale ͳͳ Chance and probability and percentages. ͳͳ Complementary events * In Development 26 © 3P Learning
AUSTRALIAN CURRICULUM MATHEMATICS & MATHLETICS Year 6 Australian Curriculum Mathletics Activities Mathletics Workbooks ACMSP145 (SP) Chance and Data Series G Chance and Probability Conduct chance experiments with both small ͳͳ Dice and coins ͳͳ Chance and probability and large numbers of trials using appropriate digital technologies. ACMSP146 (SP) Chance and Data Series G Chance and Probability Compare observed frequencies across ͳͳ Take a chance* ͳͳ Chance and probability experiments with expected frequencies. Data representation and interpretation ACMSP147 (SP) Chance and Data Series G Chance and Probability Interpret and compare a range of data displays, ͳͳ Dot plots ͳͳ Chance and probability including side-by-side column graphs for two ͳͳ Reading from a Column Graph Series G Data Representation categorical variables. ͳͳ Divided Bar Graphs ͳͳ Types of graphs 3 ͳͳ Line Graphs: Interpretation ͳͳ Interpreting Tables ACMSP148 (SP) Chance and Data Series G Data Representation Interpret secondary data presented in digital ͳͳ Data all around* ͳͳ Collecting and analysing data media and elsewhere. ͳͳ Data investigations * In Development © 3P Learning 27
AUSTRALIAN CURRICULUM MATHEMATICS & MATHLETICS Year Year 77 Australian Curriculum Mathletics Activities Mathletics Workbooks Number and Algebra Number and place value ACMNA149 Number Series H Investigate index notation and represent whole ͳͳ Index Notation ͳͳ Whole Numbers numbers as products of powers of prime ͳͳ Prime or Composite numbers. ͳͳ Product of Prime Factors ACMNA150 Number Series H Investigate and use square roots of perfect ͳͳ Square Roots ͳͳ Whole Numbers square numbers. ͳͳ Roots of Fractions* ͳͳ Estimating Square Roots ACMNA151 In development Series H Apply the associative, commutative and ͳͳ Whole Numbers distributive laws to aid mental and written computation. ACMNA280 Number Series H Compare, order, add and subtract integers. ͳͳ Ordering Integers ͳͳ Whole Numbers ͳͳ Directed Numbers ͳͳ Decimals ͳͳ Add Integers ͳͳ Negative or Positive? ͳͳ Subtract Integers ͳͳ Integers: Add and Subtract Real numbers ACMNA152 Fractions Series H Compare fractions using equivalence. Locate ͳͳ Equivalent Fractions ͳͳ Fractions and represent fractions and mixed numerals on ͳͳ Simplifying Fractions a number line. ͳͳ Mixed to Improper ͳͳ Improper to Mixed ACMNA153 Fractions Series H Solve problems involving addition and ͳͳ Add: Common Denominator ͳͳ Fractions subtraction of fractions, including those with ͳͳ Add: No Common Denominator unrelated denominators. ͳͳ Subtract: Common Denominator ͳͳ Subtract: No Common Denominator ACMNA154 Fractions Series H Multiply and divide fractions and decimals ͳͳ Decimal by Whole Number ͳͳ Fractions using efficient written strategies and digital ͳͳ Decimal by Decimal ͳͳ Decimals* technologies. ͳͳ Divide Decimal by Decimal ͳͳ Fraction by Whole Number ͳͳ Purpose: Multiply Fractions by Whole Number * In Development 28 © 3P Learning
AUSTRALIAN CURRICULUM MATHEMATICS & MATHLETICS Year Year 77 Australian Curriculum Mathletics Activities Mathletics Workbooks ACMNA155 Fractions Series H Express one quantity as a fraction of another, ͳͳ Fraction of an Amount ͳͳ Fractions with and without the use of digital technologies. ACMNA156 Percents and Decimals Series H Round decimals to a specified number of ͳͳ Rounding Decimals 1 ͳͳ Decimals* decimal places. ͳͳ Rounding Decimals 2 ACMNA157 Percents and Decimals Series H Connect fractions, decimals and percentages ͳͳ Decimal to Percentage ͳͳ Decimals* and carry out simple conversions. ͳͳ Decimals to Fractions 1 ͳͳ Percentage Basics* ͳͳ Decimals to Fractions 2 ͳͳ Recurring Decimals ͳͳ Fraction to Terminating Decimal ͳͳ Fractions to Decimals ͳͳ Percentage to Fraction ACMNA158 Percents and Decimals Series H Find percentages of quantities and express one ͳͳ Percentage of a Quantity ͳͳ Percentage Basics* quantity as a percentage of another, with and ͳͳ Calculating Percentages without digital technologies. ͳͳ Percentages Greater than Whole* ͳͳ Solve Percent Equations ͳͳ Percentage Word Problems ACMNA173 Number Series I Recognise and solve problems involving simple ͳͳ Ratios ͳͳ Rates and Ratios* ratios. ͳͳ Solving Proportion Money and financial mathematics ACMNA174 Number Series I Investigate and calculate 'best buys', with and ͳͳ Best Buys ͳͳ Rates and Ratios* without digital technologies. Patterns and algebra ACMNA175 Algebra Series H Introduce the concept of variables as a way of ͳͳ Writing Algebraic Expressions ͳͳ Algebra Basics representing numbers using letters. ACMNA176 Algebra Series H Create algebraic expressions and evaluate them ͳͳ Simple Substitution 1 ͳͳ Algebra Basics by substituting a given value for each variable. ͳͳ Simple Substitution 2 ͳͳ Simple Substitution 3 ͳͳ Complex Substitution ACMNA177 In development Series H Extend and apply the laws and properties of ͳͳ Algebra Basics arithmetic to algebraic terms and expressions. * In Development © 3P Learning 29
AUSTRALIAN CURRICULUM MATHEMATICS & MATHLETICS Year Year 77 Australian Curriculum Mathletics Activities Mathletics Workbooks Number and Algebra Linear and non-linear relationships ACMNA178 Algebra Series H Given coordinates, plot points on the Cartesian ͳͳ Ordered Pairs ͳͳ The Number Plane plane, and find coordinates for a given point. ͳͳ 3M - Number Plane ACMNA179 Algebra Series H Solve simple linear equations. ͳͳ Solve Equations: Add, Subtract 1 ͳͳ Algebra Basics ͳͳ Solve Equations: Add, Subtract 2 Series I ͳͳSolve Equations: Multiply, ͳͳ Equations Divide 1 ͳͳSolve Equations: Multiply, Divide 2 ACMNA180 In development Series H Investigate, interpret and analyse graphs from ͳͳ Tables and Graphs* authentic data. Measurement and Geometry Using units of measurement ACMMG159 Measurement Series H Establish the formulas for areas of rectangles, ͳͳ Area: Squares and Rectangles ͳͳ Perimeter and Area* triangles and parallelograms and use these in ͳͳ Area: Right Angled Triangles Series J problem solving. ͳͳ Area: Triangles ͳͳ Perimeter and Area ͳͳ Area: Quadrilaterals ACMMG160 Measurement Series H Calculate volumes of rectangular prisms. ͳͳ Volume: Rectangular Prisms 1 ͳͳ Volume and Capacity of Prisms* ͳͳ Volume: Rectangular Prisms 2 Series J ͳͳ Measuring Right Prisms Shape ACMMG161 Measurement Series H Draw different views of prisms and solids ͳͳ Different Views* ͳͳ Volume and Capacity of Prisms* formed from combinations of prisms. Series J ͳͳ Measuring Right Prisms * In Development 30 © 3P Learning
AUSTRALIAN CURRICULUM MATHEMATICS & MATHLETICS Year Year 77 Australian Curriculum Mathletics Activities Mathletics Workbooks Location and transformation ACMMG181 Geometry Series H Describe translations, reflections in an axis, and ͳͳ Flip, Slide, Turn ͳͳ Plane Shapes* rotations of multiples of 90° on the Cartesian ͳͳ Transformations plane using coordinates. Identify line and ͳͳ Rotational Symmetry rotational symmetries. ͳͳ Transformations: Coordinate Plane ͳͳ Rotations: Coordinate Plane ͳͳ Transformations: Coordinate Plane Geometric reasoning ACMMG163 Geometry Series H Identify corresponding, alternate and ͳͳ Parallel Lines ͳͳ Angles co-interior angles when two parallel straight lines are crossed by a transversal. ACMMG164 Geometry Series H Investigate conditions for two lines to be ͳͳ Equal, Complement, Supplement ͳͳ Angles parallel and solve simple numerical problems ͳͳ Angles and Parallel Lines using reasoning. ACMMG165 Geometry Series H Classify triangles according to their side and ͳͳ Triangles: Acute, Right, Obtuse ͳͳ Plane Shapes* angle properties and describe quadrilaterals. ͳͳ Triangle Tasters ACMMG166 Geometry Series H Demonstrate that the angle sum of a triangle ͳͳ Angle Sum of a Triangle ͳͳ Angles in Plane Shapes* is 180° and use this to find the angle sum of a ͳͳ Angle Sum of a Quadrilateral Series J quadrilateral. ͳͳ Angles and Polygons Statistics and Probability Chance ACMSP167 Probability Series H Construct sample spaces for single-step ͳͳ Possible Outcomes ͳͳ Chance* experiments with equally likely outcomes. ACMSP168 Probability Series H Assign probabilities to the outcomes of events ͳͳ Probability Scale ͳͳ Chance* and determine probabilities for events. ͳͳ Find the Probability ͳͳ Simple Probability * In Development © 3P Learning 31
AUSTRALIAN CURRICULUM MATHEMATICS & MATHLETICS Year Year 77 Australian Curriculum Mathletics Activities Mathletics Workbooks Statistics and Probability Data representation and interpretation ACMSP169 Statistics* Series I Identify and investigate issues involving ͳͳ Collecting and Analysing Data* continuous or large count data collected from primary and secondary sources. ACMSP170 Statistics Series I Construct and compare a range of data displays ͳͳ Stem and Leaf Introduction ͳͳ Collecting and Analysing Data* including stem-and-leaf plots and dot plots. ͳͳ Dot Plots ͳͳ Statistical Graphs* ACMSP171 Statistics Series I Calculate mean, median, mode and range for ͳͳ Mode ͳͳ Collecting and Analysing Data* sets of data. Interpret these statistics in the ͳͳ Mean Series J context of data. ͳͳ Median ͳͳ Data ACMSP172 Statistics Series I Describe and interpret data displays and the ͳͳ Mode from Frequency Table ͳͳ Collecting and Analysing Data* relationship between the median and mean. ͳͳ Mode from Stem and Leaf Plot ͳͳ Statistical Graphs* ͳͳ Mean from Frequency Table Series J ͳͳ Median from Frequency ͳͳ Data ͳͳ Median from Stem and Leaf Plot * In Development 32 © 3P Learning
AUSTRALIAN CURRICULUM MATHEMATICS & MATHLETICS Year Year 78 Australian Curriculum Mathletics Activities Mathletics Workbooks Number and Algebra Number and place value ACMSP182 Integers Series H Use index notation with numbers to establish ͳͳ Index Notation ͳͳ Whole Numbers the index laws with positive integral indices and ͳͳ Negative Indices ͳͳ Converting Units* the zero index. ͳͳ Multiplication with Indices Series I ͳͳ The Zero Index ͳͳ Simplifying Algebra Series J ͳͳ Indices ACMNA183 Integers Series H Carry out the four operations with integers, ͳͳ Integers: Add and Subtract ͳͳ Directed Number using efficient mental and written strategies ͳͳ Integers: Multiply and Divide and appropriate digital technologies. ͳͳ Problems: Add and Subtract ͳͳ Problems: Times and Divide Real numbers ACMNA184 Real Numbers Series H Investigate terminating and recurring decimals. ͳͳ Recurring Decimals ͳͳ Decimals* ͳͳ Decimals to Fractions 1 ͳͳ Percentages ͳͳ Decimals to Fractions 2 Series J ͳͳ Fractions to Decimals ͳͳ Decimals* ACMNA186 Real Numbers Series H Investigate the concept of irrational numbers, ͳͳ Irrational Numbers* ͳͳ Directed Number including π. ACMNA187 Real Numbers Series H Solve problems involving the use of ͳͳ Percentage of a Quantity ͳͳ Percentage Basics percentages, including percentage increases ͳͳ Calculating Percentages Series I and decreases, with and without digital ͳͳ Percentages Greater than Whole ͳͳ Percentage Calculations* technologies. ͳͳ Percentage Word Problems ͳͳ Percent Increase and Decrease ACMNA188 Rates and Ratios Series I Solve a range of problems involving rates and ͳͳ Rates ͳͳ Rates and Ratio* ratios, with and without digital technologies. ͳͳ Rate Word Problems ͳͳ Ratios ͳͳ Equivalent Ratios ͳͳ Dividing a Quantity in a Ratio ͳͳ Ratio Word Problems Money and financial mathematics ACMNA189 Real Numbers Series I Solve problems involving profit and loss, with ͳͳ Profit and Loss ͳͳ Percentage Calculations* and without digital technologies. * In Development © 3P Learning 33
AUSTRALIAN CURRICULUM MATHEMATICS & MATHLETICS Year Year 78 Australian Curriculum Mathletics Activities Mathletics Workbooks Number and Algebra Patterns and algebra ACMNA190 Patterns and Algebra Series I Extend and apply the distributive law to the ͳͳ Using the Distributive Law ͳͳ Simplifying Algebra expansion of algebraic expressions. ͳͳ Expanding with Negatives ͳͳ Expanding and Factorising ͳͳ Expand then Simplify Series J ͳͳ Simplifying Algebra ACMNA191 Patterns and Algebra Series I Factorise algebraic expressions by identifying ͳͳ Factorising Expressions ͳͳ Expanding and Factorising numerical factors. Series J ͳͳ Simplifying Algebra ACMNA192 Patterns and Algebra Series I Simplify algebraic expressions involving the four ͳͳ Recognising Like Terms ͳͳ Simplifying Algebra operations. ͳͳ Like Terms: Add and Subtract Series J ͳͳ Algebraic Multiplication ͳͳ Simplifying Algebra ͳͳ Dividing Expressions ͳͳ Algebraic Fractions 1 Linear and non-linear relationships ACMNA193 Relationships Series H Plot linear relationships on the Cartesian ͳͳ Ordered Pairs ͳͳ The Number Plane plane with and without the use of digital ͳͳ Patterns rules and Tables Series I technologies. ͳͳ Find the Pattern rule ͳͳ Straight Lines ͳͳ Graphing from a Table of Values ͳͳ Linear Relationships ͳͳ Reading Values from a Line Series J ͳͳ Linear Relationships ACMNA194 Relationships Series I Solve linear equations using algebraic and ͳͳ Solve Equations: Add, ͳͳ Equations graphical techniques. Verify solutions by Subtract 1 Series J substitution. ͳͳ Solve Equations: Add, ͳͳ Equations and Inequalities Subtract 2 ͳͳ Solve Equations: Multiply, Divide 1 ͳͳ Solve Equations: Multiply, Divide 2 ͳͳ Solving Simple Equations ͳͳ Solving More Equations ͳͳ Checking Solutions * In Development 34 © 3P Learning
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