Education Perfect Maths is a comprehensive online learning and assessment resource. Designed by teachers and written by our in-house team of maths experts, our content aligns to the NSW Syllabus and covers key mathematical concepts and key skills. It includes a variety of vibrant and engaging curriculum informed content that is tailored to suit your schools Maths programme from upper primary through to senior secondary. Content features handwriting recognition software and line by line marking designed to give students accurate and informative feedback on their answers. Students are provided with contextual, competitive activities designed to positively impact motivation and learning outcomes. Students are engaged in multiple learning events, including our Education Perfect Maths Championships and other maths themed events throughout the year. Further, our comprehensive assessment platform provides a range of assessment opportunities, including flexible formative assessments, pre and post testing, summative assessment options, as well as NAPLAN practice tests. This table connects the content provided by Education Perfect to the NSW Syllabus.. Number and Algebra Whole Numbers ( MA3-4NA ) Orders, reads and represents integers of any size and describes properties of whole numbers. Whole Numbers 1 Recognise, represent and order numbers to at least tens of millions Multiples Applications of Multiples Factors Identifying Factors Highest Common Factor Identify and describe factors and multiples of whole numbers and use them to solve problems (ACMNA098) Whole Numbers 2 Positive Integers Ordering Positive Integers Negative Integers Ordering Negative Integers Square Numbers Calculating Square Numbers Triangular Numbers Prime Numbers Investigate everyday situations that use integers; locate and represent these numbers on a number line (ACMNA124) Identify and describe properties of prime, composite, square and triangular numbers (ACMNA122)
Composite Numbers Factor Trees Addition and Subtraction ( MA3-5NA ) Selects and applies appropriate strategies for addition and subtraction with counting numbers of any size. Addition and Subtraction 1 Content Not Yet Built Content Not Yet Built Budgeting Making a Budget Use efficient mental and written strategies and apply appropriate digital technologies to solve problems (ACMNA291) Use estimation and rounding to check the reasonableness of answers to calculations (ACMNA099) Create simple financial plans (ACMNA106) Addition and Subtraction 2 Addition Subtraction Applying Addition and Subtraction Select and apply efficient mental and written strategies and appropriate digital technologies to solve problems involving addition and subtraction with whole numbers (ACMNA123) Multiplication and Division ( MA3-6NA ) Selects and applies appropriate strategies for multiplication and division, and applies the order of operations to calculations involving more than one operation. Multiplication and Division 1 Multiplying Big Numbers Division in Parts Multiplication Using Place Value Solve problems involving multiplication of large numbers by one- or two-digit numbers using efficient mental and 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 estimation and rounding to check the reasonableness of answers to calculations (ACMNA099) Multiplication and Division 2
Column Multiplication Multiplication Using Rounding and Compensation Long Division Applying Multiplication and Division Order of Operations Preserving Order of Operations Select and apply efficient mental and written strategies, and appropriate digital technologies, to solve problems involving multiplication and division with whole numbers (ACMNA123) Explore the use of brackets and the order of operations to write number sentences (ACMNA134) Fractions and Decimals ( MA3-7NA ) Compares, orders and calculates with fractions, decimals and percentages. Fractions and Decimals 1 Fractions Unit Fractions Proper and Improper Fractions Mixed Numbers Converting Mixed Numbers Fractions on a Number Line Adding Fractions with the Same Denominator Subtracting Fractions with the Same Denominator Adding Whole Numbers and Fractions Adding Mixed Numbers with the Same Denominator Subtracting Fractions from One Whole Subtracting Fractions from Whole Numbers Tenths Hundredths Introduction to Decimals Compare and order common unit fractions and locate and represent them on a number line (ACMNA102) Investigate strategies to solve problems involving addition and subtraction of fractions with the same denominator (ACMNA103) Recognise that the place value system can be extended beyond hundredths (ACMNA104) Compare, order and represent decimals (ACMNA105) Fractions and Decimals 2 Fractions: Introduction to Fractions Proper Fractions Improper Fractions Mixed Numbers Fractions and Number Lines Equivalent Fractions Comparing Fractions Simplifying Fractions Fractions: Adding Fractions with the Same Denominator Subtracting Fractions with the Same Denominator Adding Mixed Numbers with the Same Denominator Compare fractions with related denominators and locate and represent them on a number line (ACMNA125) Solve problems involving addition and subtraction of fractions with the same or related denominators (ACMNA126)
Subtracting Mixed Numbers with the Same Denominator Adding Fractions with Related Denominators Subtracting Fractions with Related Denominators Fractions: Fraction of a Quantity Decimals: Decimal Place Values Comparing Decimals Adding Decimals Applications of Adding Decimals Subtracting Decimals Applications of Subtracting Decimal Numbers Decimals: Multiplying Decimals Dividing Decimals Find a simple fraction of a quantity where the result is a whole number, with and without the use of digital technologies (ACMNA127) Add and subtract decimals, with and without the use of digital technologies, and use estimation and rounding to check the reasonableness of answers (ACMNA128) Multiply decimals by whole numbers and perform divisions by non-zero whole numbers where the results are terminating decimals, with and without the use of digital technologies (ACMNA129) Multiply and divide decimals by powers of 10 (ACMNA130) Percentages: Introduction to Percentages Converting Percentages Percentages and Decimals Percentages, Decimals and Fractions Percentages: Percentages of a Number Discounts Calculating Discounts Make connections between equivalent fractions, decimals and percentages (ACMNA131) Investigate and calculate percentage discounts of 10%, 25% and 50% on sale items, with and without the use of digital technologies (ACMNA132) Patterns and Algebra ( MA3-8NA ) Analyses and creates geometric and number patterns, constructs and completes number sentences, and locates points on the Cartesian plane. Patterns and Algebra 1 Identifying Patterns Describing Patterns Missing Pieces of Patterns Continuing Patterns Describe, continue and create patterns with fractions, decimals and whole numbers resulting from addition and subtraction (ACMNA107)
Gaps in Number Sentences Equivalent Number Sentences Use equivalent number sentences involving multiplication and division to find unknown quantities (ACMNA121) Patterns and Algebra 2 Identifying Relationships Rules for Patterns Using Rules to Continue Patterns Cartesian Planes Describing Locations with Coordinates Describing Locations with Cartesian Planes Continue and create sequences involving whole numbers, fractions and decimals; describe the rule used to create the sequence (ACMNA133) Introduce the Cartesian coordinate system using all four quadrants (ACMMG143) Measurement and Geometry Length ( MA3-9MG ) Selects and uses the appropriate unit and device to measure lengths and distances, calculates perimeters, and converts between units of length. Length 1 Units of Measurement Unit Prefixes Units of Length Perimeter Finding Perimeters Choose appropriate units of measurement for length (ACMMG108) Calculate the perimeters of rectangles using familiar metric units (ACMMG109) Length 2 Method for Converting Units of Length Converting Units of Length Appropriate Units of Length Comparing Units of Length Interpreting Units of Length Connect decimal representations to the metric system (ACMMG135) Convert between common metric units of length (ACMMG136) Solve problems involving the comparison of lengths using appropriate units (ACMMG137) Area ( MA3-10MG ) Selects and uses the appropriate unit to calculate areas, including areas of squares, rectangles and triangles. Area 1 Area Hectares Choose appropriate units of measurement for area (ACMMG108)
Area of Rectangles Calculate the areas of rectangles using familiar metric units (ACMMG109) Area 2 Area of Triangles Solve problems involving the comparison of areas using appropriate units (ACMMG137) Volume and Capacity ( MA3-11MG ) Selects and uses the appropriate unit to estimate, measure and calculate volumes and capacities, and converts between units of capacity. Volume and Capacity 1 Units of Measurement Unit Prefixes Choose appropriate units of measurement for volume and capacity (ACMMG108) Volume and Capacity 2 Capacity and Volume Units of Capacity Interpreting Units of Capacity Converting Units of Capacity Applications of Converting Units of Capacity Volume of Rectangular Prisms Volume Connect volume and capacity and their units of measurement (ACMMG138) Connect decimal representations to the metric system (ACMMG135) Convert between common metric units of capacity (ACMMG136) Calculate the volumes of rectangular prisms (ACMMG160) Mass ( MA3-12MG ) Selects and uses the appropriate unit and device to measure the masses of objects, and converts between units of mass. Mass 1 Units of Measurement Unit Prefixes Net Mass and Gross Mass Choose appropriate units of measurement for mass (ACMMG108) Mass 2 Units of Mass Interpreting Units of Mass Converting Units of Mass Applications of Converting Units of Mass Connect decimal representations to the metric system (ACMMG135) Convert between common metric units of mass (ACMMG136)
Time ( MA3-13MG ) Uses 24-hour time and am and pm notation in real-life situations, and constructs timelines. Time 1 Digital Clocks 24-Hour Time Converting 12- and 24-Hour Time Reading Analog Clocks Basics Analog Clocks to the Nearest Minute Duration Recording Time Compare 12- and 24-hour time systems and convert between them (ACMMG110) Determine and compare the duration of events Time 2 Reading Timetables Using Multiple Timetables Personal Timetables Timetables and Transport Timelines Interpret and use timetables (ACMMG139) Draw and interpret timelines using a given scale Three-Dimensional Space ( MA3-14MG ) Identifies three-dimensional objects, including prisms and pyramids, on the basis of their properties, and visualises, sketches and constructs them given drawings of different views. Three-Dimensional Space 1 3D Solids Prisms Pyramids Nets of Prisms Nets of Pyramids Identifying Faces of Prisms and Pyramids Compare, describe and name prisms and pyramids Connect three-dimensional objects with their nets and other two-dimensional representations (ACMMG111) Three-Dimensional Space 2 Prisms Drawing Prisms Nets of Prisms Pyramids Drawing Pyramids Nets of Pyramids Construct simple prisms and pyramids (ACMMG140)
Two-Dimensional Space ( MA3-15MG ) Manipulates, classifies and draws two-dimensional shapes, including equilateral, isosceles and scalene triangles, and describes their properties. Two-Dimensional Space 1 2D Shapes Regular Polygons Irregular Polygons Composite Shapes Types of Triangles Quadrilaterals Translation on a Grid Reflection on a Grid Rotation on a Grid Line Symmetry Line Symmetry in Life Identifying Rotational Symmetry Order of Rotational Symmetry Rotational Symmetry in Life The Enlargement Transformation Classify two-dimensional shapes and describe their features Describe translations, reflections and rotations of two-dimensional shapes (ACMMG114) Identify line and rotational symmetries (ACMMG114) Apply the enlargement transformation to familiar two-dimensional shapes and explore the properties of the resulting image compared with the original (ACMMG115) Two-Dimensional Space 2 Content Not Yet Built Content Not Yet Built Translation Reflection Rotation Predicting Patterns Investigate the diagonals of two-dimensional shapes Identify and name parts of circles Investigate combinations of translations, reflections and rotations, with and without the use of digital technologies (ACMMG142) Angles ( MA3-16MG ) Measures and constructs angles, and applies angle relationships to find unknown angles. Angles 1 Angles in the Real World Types of Angles Measuring Acute and Obtuse Angles Measuring Reflex Angles Estimate, measure and compare angles using degrees (ACMMG112)
Estimating the Size of Angles Angles Right Angles Other Common Angles Construct angles using a protractor (ACMMG112) Angles 2 Common Angles Types of Angles Measuring Angles Angles in Corners Angles on Straight Lines Angles Around a Point Vertically Opposite Angles Investigate, with and without the use of digital technologies, angles on a straight line, angles at a point, and vertically opposite angles; use the results to find unknown angles (ACMMG141) Position ( MA3-17MG ) Locates and describes position on maps using a grid-reference system. Locations Describing Routes Describing Routes Using Landmarks Use a grid-reference system to describe locations (ACMMG113) Describe routes using landmarks and directional language (ACMMG113) Statistics and Probability Data ( MA3-18SP ) Uses appropriate methods to collect data and constructs, interprets and evaluates data displays, including dot plots, line graphs and two-way tables. Data 1 What is Data? Collecting Data Surveys Data Tables Tally Marks Picture Graphs Picture Graphs with Keys Picture Graphs and Data Tables Dot Plots Dot Plots and Tables Column (Bar) Graphs Reading Column Graphs Pose questions and collect categorical or numerical data by observation or survey (ACMSP118) Construct displays, including column graphs, dot plots and tables, appropriate for data type, with and without the use of digital technologies (ACMSP119)
Comparing Graphs Describe and interpret different data sets in context (ACMSP120) Data 2 Picture Graphs Picture Graphs with Keys Dot Plots Column (Bar) Graphs Reading Column (Bar) Graphs Side-by-Side Column Graphs Line Graphs Misleading Data and Graphs Interpret and compare a range of data displays, including side-by-side column graphs for two categorical variables (ACMSP147) Interpret secondary data presented in digital media and elsewhere (ACMSP148) Chance ( MA3-19SP ) Conducts chance experiments and assigns probabilities as values between 0 and 1 to describe their outcomes. Chance 1 Likelihood of Events Probability as a Fraction Equal and Unequal Outcomes The Probability of Outcomes Chance Games List outcomes of chance experiments involving equally likely outcomes and represent probabilities of those outcomes using fractions (ACMSP116) The Likelihood Scale Recognise that probabilities range from 0 to 1 (ACMSP117) Chance 2 Observed Outcomes vs. Expected Outcomes Writing Probabilities Proportional Reasoning Maths in Context: Chance Games from Other Cultures Probability Experiments Compare observed frequencies across experiments with expected frequencies (ACMSP146) Describe probabilities using fractions, decimals and percentages (ACMSP144) Conduct chance experiments with both small and large numbers of trials using appropriate digital technologies (ACMSP145)