year 7-10 MAths

What our Year 7-10 Maths students will develop

A deeper level of understanding

All of our material is directly linked to topics from the NSW Board of studies. We start with explaining theory, then start with easier questions and move onto exam style questions

A fun learning environment

Our lessons are fun, engaging and relaxed. We encourage group discussions, and students are encouraged to ask as many questions as possible!

What you will recieve

Each student at PLATO receives three different books each week which are personalised to each individual!

Weekly books

We design, print and hand out new books to all students each week. We do not bulk print our materials at the start of each term! Our materials evolve week-to-week, learning from the mistakes of all students and automatically refine to become the ultimate learning tools!

Class theory book

The theory books contain the class common questions and notes. There is also a weekly report at the front which is jam-packed with details about each student.

Personalised homework book

These books contain homework questions which are unique to each student based on their weaknesses or special requests. To learn more about the homework system at PLATO, click here.

Answer books

At PLATO, we get you ready from as early as Year 6 to organise your mathematical arguments. In English, we learn how to organise text with paragraphs and sentences, and maths is no different! We teach students how to logically present their work, with our proven answer book system!

What ouR PARENTS recieve

Weekly reports

Our parents and studnets receive a weekly email report letting them know how their progress has changed, and which topics they are struggling with at the moment

DIRECT COMMUNICATION

You can contact us directly by SMS or phone call, and speak to your child's tutor directly. No emails, no help desk! Just straight to the point communication!

Our proven lesson breakdown

10 weekly lessons in the school term

15 min

Weekly quiz

Weekly quiz on content from the previous week.

30 min

Homework help

We go through any homework related issues, and ensure all students are comfortable.

75 min

Lesson

We teach new material, developing theory, and slowing move up in difficulty until we are answering exam-style questions.

Maths years 7-10 details

  • Year 7
  • Year 8
  • Year 9
  • Year 10

Year 7 Details

  • Term 1
  • Term 2
  • Term 3
  • Term 4

week 1

Integers

Operations and BODMAS
  • Apply the associative, commutative and distributive laws to aid mental and written computation
  • Compare, order, add and subtract integers
  • Carry out the four operations with rational numbers and integers, using efficient mental and written strategies and appropriate digital technologies

week 2

Integers

HCF and LCM
  • Identify and describe factors and multiples of whole numbers and use them to solve problems
  • Compare fractions using equivalence locate and represent positive and negative fractions and mixed numerals on a number line

week 3

Angles

Types of Angles
  • Construct angles using a protractor
  • 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
  • Use the language, notation and conventions of geometry
  • Recognise the geometrical properties of angles at a point
  • Identify corresponding, alternate and co-interior angles when two straight lines are crossed by a transversal

week 4

Angles

Angles on Parallel Lines
  • Identify corresponding, alternate and co-interior angles when two straight lines are crossed by a transversal
  • Investigate conditions for two lines to be parallel
  • Solve simple numerical problems using reasoning

week 5

Fractions, Decimals and Percenteges

Operations of Decimals
  • Add and subtract decimals, with and without the use of digital technologies, and use estimation and rounding to check the reasonableness of answers
  • 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
  • Multiply and divide fractions and decimals using efficient written strategies and digital technologies
  • Round decimals to a specified number of decimal places

week 6

Fractions, Decimals and Percenteges

Operations of Fractions
  • Solve problems involving addition and subtraction of fractions with the same or related denominators
  • Compare fractions using equivalence locate and represent positive and negative fractions and mixed numerals on a number line
  • Solve problems involving addition and subtraction of fractions, including those with unrelated denominators
  • Multiply and divide fractions and decimals using efficient written strategies and digital technologies

week 7

Fractions, Decimals and Percenteges

Converting Fractions and Decimals
  • Compare fractions using equivalence locate and represent positive and negative fractions and mixed numerals on a number line
  • Multiply and divide fractions and decimals using efficient written strategies and digital technologies
  • Express one quantity as a fraction of another, with and without the use of digital technologies

week 8

Fractions, Decimals and Percenteges

Terminating and Reccuring Decimals
  • Round decimals to a specified number of decimal places
  • Investigate terminating and recurring decimals
  • Connect fractions, decimals and percentages and carry out simple conversions

week 9

Fractions, Decimals and Percenteges

Percentages
  • Make connections between equivalent fractions, decimals and percentages
  • Investigate and calculate percentage discounts of 10%, 25% and 50% on sale items, with and without the use of digital technologies
  • Connect fractions, decimals and percentages and carry out simple conversions

week 10

Fractions, Decimals and Percenteges

Calcullating Percentages of Quantities
  • Investigate and calculate percentage discounts of 10%, 25% and 50% on sale items, with and without the use of digital technologies
  • Multiply and divide fractions and decimals using efficient written strategies and digital technologies
  • Find percentages of quantities and express one quantity as a percentage of another, with and without the use of digital technologies
  • Solve problems involving the use of percentages, including percentage increases and decreases, with and without the use of digital technologie

  • Apply the associative, commutative and distributive laws to aid mental and written computation​
  • Compare, order, add and subtract integers​
  • Carry out the four operations with rational numbers and integers, using efficient mental and written strategies and appropriate digital technologies​ ​

  • Identify and describe factors and multiples of whole numbers and use them to solve problems​
  • Compare fractions using equivalence locate and represent positive and negative fractions and mixed numerals on a number line​ ​

  • Construct angles using a protractor​
  • 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​
  • Use the language, notation and conventions of geometry​
  • Recognise the geometrical properties of angles at a point​
  • Identify corresponding, alternate and co-interior angles when two straight lines are crossed by a transversal ​

  • Identify corresponding, alternate and co-interior angles when two straight lines are crossed by a transversal​
  • Investigate conditions for two lines to be parallel​
  • Solve simple numerical problems using reasoning​

  • Add and subtract decimals, with and without the use of digital technologies, and use estimation and rounding to check the reasonableness of answers​
  • 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​
  • Multiply and divide fractions and decimals using efficient written strategies and digital technologies​
  • Round decimals to a specified number of decimal places​

  • Solve problems involving addition and subtraction of fractions with the same or related denominators​
  • Compare fractions using equivalence locate and represent positive and negative fractions and mixed numerals on a number line​
  • Solve problems involving addition and subtraction of fractions, including those with unrelated denominators​
  • Multiply and divide fractions and decimals using efficient written strategies and digital technologies​

  • Compare fractions using equivalence locate and represent positive and negative fractions and mixed numerals on a number line​
  • Multiply and divide fractions and decimals using efficient written strategies and digital technologies​
  • Express one quantity as a fraction of another, with and without the use of digital technologies​

  • Round decimals to a specified number of decimal places
  • Investigate terminating and recurring decimals
  • Connect fractions, decimals and percentages and carry out simple conversions

  • Make connections between equivalent fractions, decimals and percentages
  • Investigate and calculate percentage discounts of 10%, 25% and 50% on sale items, with and without the use of digital technologies
  • Connect fractions, decimals and percentages and carry out simple conversions

  • Investigate and calculate percentage discounts of 10%, 25% and 50% on sale items, with and without the use of digital technologies

  • Multiply and divide fractions and decimals using efficient written strategies and digital technologies

  • Find percentages of quantities and express one quantity as a percentage of another, with and without the use of digital technologies

  • Solve problems involving the use of percentages, including percentage increases and decreases, with and without the use of digital technologie

week 1

ALGEBRA

WHAT IS A VARIABLE?​
  • Introduce the concept of variables as a way of representing numbers using letters​

week 2

ALGEBRA

COLLECTING LIKE-TERMS​
  • Extend and apply the laws and properties of arithmetic to algebraic terms and expressions​
  • Simplify algebraic expressions involving the four operations ​

week 3

ALGEBRA

EXPANDING​
  • Extend and apply the distributive law to the expansion of algebraic expressions​

week 4

ALGEBRA

FACTORISING​
  • Factorise algebraic expressions by identifying algebraic factors

week 5

ALGEBRA

SUBSTITUTION​
  • Create algebraic expressions and evaluate them by substituting a given value for each variable​

week 6

EQUATIONS

SOLVING LINEAR EQUATIONS​
  • Solve simple linear equations
  • Solve linear equations using algebraic techniques and verify solutions by substitution​

week 7

LINEAR RELATIONSHIPS

AN INTRODUCTION TO LINEAR RELATIONSHIPS
  • Given coordinates, plot points on the Cartesian plane, and find coordinates for a given point​
  • Describe translations, reflections in an axis, and rotations of multiples of 90° on the Cartesian plane using coordinates​

week 8

LINEAR RELATIONSHIPS

PLOT LINEAR RELATIONSHIPS ON THE CARTESIAN PLANE, WITH AND WITHOUT THE USE OF DIGITAL TECHNOLOGIES 1​
  • Plot linear relationships on the Cartesian plane, with and without the use of digital technologies​

week 9

LINEAR RELATIONSHIPS

SOLVE LINEAR QUEATIONS USING GRAPHICAL TECHNIQUES​
  • Solve linear equations using graphical techniques

week 10

CONGRUENCY

CONGRUENCY​
  • Define congruence of plane shapes using transformations
  • Develop the conditions for congruence of triangles
  • Establish properties of quadrilaterals using congruent triangles and angle properties, and solve related numerical problems using reasoning​

  • Introduce the concept of variables as a way of representing numbers using letters

  • Extend and apply the laws and properties of arithmetic to algebraic terms and expressions
  • Simplify algebraic expressions involving the four operations

  • Extend and apply the distributive law to the expansion of algebraic expressions

  • Factorise algebraic expressions by identifying algebraic factors

  • Create algebraic expressions and evaluate them by substituting a given value for each variable

  • Solve simple linear equations
  • Solve linear equations using algebraic techniques and verify solutions by substitution

  • Given coordinates, plot points on the Cartesian plane, and find coordinates for a given point
  • Describe translations, reflections in an axis, and rotations of multiples of 90° on the Cartesian plane using coordinates

  • Plot linear relationships on the Cartesian plane, with and without the use of digital technologies

  • Solve linear equations using graphical techniques

  • Define congruence of plane shapes using transformations
  • Develop the conditions for congruence of triangles
  • Establish properties of quadrilaterals using congruent triangles and angle properties, and solve related numerical problems using reasoning

week 1

INDICES

WHAT ARE INDICES?​
  • Investigate index notation and represent whole numbers as products of powers of prime numbers​

week 2

INDICES

SQUARE ROOTS AND PERFECT SQUARES​
  • Investigate and use square roots of perfect square numbers

week 3

LENGTH

PERIMETER​
  • Find perimeters of parallelograms, trapeziums, rhombuses and kites​

week 4

LENGTH

CIRCLES AND CIRCUMFERENCE​
  • Investigate the concept of irrational numbers, including π
  • Investigate the relationship between features of circles, such as the circumference, radius and diameter use formulas to solve problems involving circumference​

week 5

AREA

SQUARES, RECTANGLES, PARALLELOGRAMS, AND TRIANGLES​
  • Choose appropriate units of measurement for area and convert from one unit to another​
  • Establish the formulas for areas of rectangles, triangles and parallelograms and use these in problem solving​

week 6

AREA

TRAPEZIUMS, KITES AND RHOMBUSES​
  • Find areas of trapeziums, rhombuses and kites​

week 7

AREA

CIRCLES​
  • Investigate the relationship between features of circles, such as the area and the radius use formulas to solve problems involving area​

week 8

VOLUME

UNITS OF MEASUREMENT FOR VOLUME​
  • Draw different views of prisms and solids formed from combinations of prisms​
  • Choose appropriate units of measurement for volume and convert from one unit to another​

week 9

VOLUME

CALCULATING VOLUME OF PRISMS AND CYLIINDERS​
  • Develop the formulas for the volumes of rectangular and triangular prisms and of prisms in general use formulas to solve problems involving volume​
  • Calculate the volumes of cylinders and solve related problems

week 10

TIME

DURATION​
  • Solve problems involving duration, including using 12-hour and 24-hour time within a single time zone​
  • Solve problems involving international time zones

  • Investigate index notation and represent whole numbers as products of powers of prime numbers

  • Investigate and use square roots of perfect square numbers
  • Use index notation with numbers to establish the index laws with positive-integer indices and the zero index
  • Solve simple quadratic equations

  • Find perimeters of parallelograms, trapeziums, rhombuses and kites

  • Investigate the concept of irrational numbers, including π
  • Investigate the relationship between features of circles, such as the circumference, radius and diameter use formulas to solve problems involving circumference

  • Choose appropriate units of measurement for area and convert from one unit to another
  • Establish the formulas for areas of rectangles, triangles and parallelograms and use these in problem solving

  • Find areas of trapeziums, rhombuses and kites

  • Investigate the relationship between features of circles, such as the area and the radius use formulas to solve problems involving area

  • Draw different views of prisms and solids formed from combinations of prisms
  • Choose appropriate units of measurement for volume and convert from one unit to another

  • Develop the formulas for the volumes of rectangular and triangular prisms and of prisms in general use formulas to solve problems involving volume
  • Calculate the volumes of cylinders and solve related problems

  • Solve problems involving duration, including using 12-hour and 24-hour time within a single time zone
  • Solve problems involving international time zones

week 1

PROBABILITY

CALCULATING PROBABILITIES OF OUTCOMES​
  • Construct sample spaces for single-step experiments with equally likely outcomes​
  • Assign probabilities to the outcomes of events and determine probabilities for events​

week 2

PROBABILITY

COMPLEMENTARY EVENTS​
  • Identify complementary events and use the sum of probabilities to solve problems​

week 3

DATA

AN INTRODUCTION TO STATISTICS AND DATA ANALYSIS​
  • Construct and compare a range of data displays, including stem-and-leaf plots and dot plots​

week 4

DATA

MEAN, MODE, MEDIAN, RANGE​
  • Calculate mean, median, mode and range for sets of data and interpret these statistics in the context of data​
  • Describe and interpret data displays using mean, median and range

week 5

PYTHAGORA'S THEOREM

c2=a2+b2
  • Investigate Pythagora's theorem and its application to solving simple problems involving right-angled triangles​

week 6

PYTHAGORA'S THEOREM

SOLVE PROBLEMS INVOLVING PYTHAGORA'S THEOREM​
  • Investigate Pythagora's theorem and its application to solving simple problems involving right-angled triangles​

week 7

PROPERTIES OF GEOMTRICAL FIGURE

TRIANGLES AND QUADRILATERALS​
  • Classify triangles according to their side and angle properties and describe quadrilaterals​

week 8

PROPERTIES OF GEOMTRICAL FIGURE

ANGLE SUM OF TRIANGLE AND QUADRILATERAL​
  • Identify line and rotational symmetries
  • Demonstrate that the angle sum of a triangle is 180° and use this to find the angle sum of a quadrilateral​

week 9

ALGEBRA

EXPANDING, SIMPLIFYING AND SOLVING​
  • Apply the four operations to simple algebraic fractions with numerical denominators​
  • Apply the distributive law to the expansion of algebraic expressions, including binomials, and collect like terms where appropriate​
  • Solve linear equations

week 10

ALGEBRA

FACTORISING AND HARDER EQUATIONS​
  • Factorise algebraic expressions by taking out a common algebraic factor
  • Solve linear equations involving simple algebraic fractions

  • Construct sample spaces for single-step experiments with equally likely outcomes
  • Assign probabilities to the outcomes of events and determine probabilities for events

  • Identify complementary events and use the sum of probabilities to solve problems

  • Construct and compare a range of data displays, including stem-and-leaf plots and dot plots

  • Calculate mean, median, mode and range for sets of data and interpret these statistics in the context of data
  • Describe and interpret data displays using mean, median and range

  • Investigate Pythagora's theorem and its application to solving simple problems involving right-angled triangles

  • Investigate Pythagora's theorem and its application to solving simple problems involving right-angled triangles

  • Classify triangles according to their side and angle properties and describe quadrilaterals

  • Identify line and rotational symmetries
  • Demonstrate that the angle sum of a triangle is 180° and use this to find the angle sum of a quadrilateral

  • Apply the four operations to simple algebraic fractions with numerical denominators
  • Apply the distributive law to the expansion of algebraic expressions, including binomials, and collect like terms where appropriate
  • Solve linear equations

  • Factorise algebraic expressions by taking out a common algebraic factor
  • Solve linear equations involving simple algebraic fractions

Year 8 Details

  • Term 1
  • Term 2
  • Term 3
  • Term 4

week 1

Algebra

Simplifying Algebraic Expressions
  • Extend and apply the laws and properties of arithmetic to algebraic terms and expressions
  • Simplify algebraic expressions involving the four operations
  • Create algebraic expressions and evaluate them by substituting a given value for each variable

week 2

Algebra

Expansion and Factorisation
  • Create algebraic expressions and evaluate them by substituting a given value for each variable
  • Extend and apply the distributive law to the expansion of algebraic expressions
  • Factorise algebraic expressions by identifying numerical factors
  • Factorise algebraic expressions by identifying algebraic factors
  • Apply the distributive law to the expansion of algebraic expressions, including binomials, and collect like terms where appropriate
  • Expand binomial products using a variety of strategies

week 3

Right-Angled Triangles (Pythagoras)

Applications of Pythagoras' Theorem
  • Investigate Pythagoras' theorem and its application to solving simple problems involving right-angled triangles
  • Investigate the concept of irrational numbers

week 4

Fractions, Decimals and Percenteges

FRACTIONS AND DECIMALS (REVIEW)​
  • Compare fractions using equivalence locate and represent positive and negative fractions and mixed numerals on a number line
  • Solve problems involving addition and subtraction of fractions, including those with unrelated denominators
  • Multiply and divide fractions and decimals using efficient written strategies and digital technologies
  • Express one quantity as a fraction of another, with and without the use of digital technologies
  • Round decimals to a specified number of decimal places
  • Investigate terminating and recurring decimals

week 5

FRACTIONS, DECIMALS AND PERCENTEGES​

PERCENTEGES​
  • Connect fractions, decimals and percentages and carry out simple conversions
  • Represent events in two-way tables and Venn diagrams and solve related problems​
  • Investigate the concept of irrational numbers, including π​
  • Find percentages of quantities and express one quantity as a percentage of another, with and without the use of digital technologies
  • Solve problems involving the use of percentages, including percentage increases and decreases, with and without the use of digital technologie

week 6

Probability

Probability
  • Describe events using language of 'at least', exclusive 'or' (A or B but not both), inclusive 'or' (A or B or both) and 'and'
  • Represent events in two-way tables and Venn diagrams and solve related problems​

week 7

Area

CIRCLE
  • Investigate the relationship between features of circles, such as the area and the radius use formulas to solve problems involving area

week 8

REVISION

REVISION
  • Exam Revision

week 9

Area and Surface Area

Area
  • Choose appropriate units of measurement for area and convert from one unit to another
  • Establish the formulas for areas of rectangles, triangles and parallelograms and use these in problem solving
  • Find areas of trapeziums, rhombuses and kites

week 10

Time

Time
  • Solve problems involving duration, including using 12-hour and 24-hour time within a single time zone
  • Solve problems involving international time zones

  • Extend and apply the laws and properties of arithmetic to algebraic terms and expressions​
  • Simplify algebraic expressions involving the four operations​ ​
  • Create algebraic expressions and evaluate them by substituting a given value for each variable​

  • Create algebraic expressions and evaluate them by substituting a given value for each variable​
  • Extend and apply the distributive law to the expansion of algebraic expressions​ ​
  • Factorise algebraic expressions by identifying numerical factors​
  • Factorise algebraic expressions by identifying algebraic factors​
  • Apply the distributive law to the expansion of algebraic expressions, including binomials, and collect like terms where appropriate​
  • Expand binomial products using a variety of strategies​

  • Investigate Pythagoras' theorem and its application to solving simple problems involving right-angled triangles​
  • Investigate the concept of irrational numbers​

  • Compare fractions using equivalence locate and represent positive and negative fractions and mixed numerals on a number line​ ​
  • Solve problems involving addition and subtraction of fractions, including those with unrelated denominators​ ​
  • Multiply and divide fractions and decimals using efficient written strategies and digital technologies​ ​
  • Express one quantity as a fraction of another, with and without the use of digital technologies​ ​
  • Round decimals to a specified number of decimal places​ ​
  • Investigate terminating and recurring decimals​ ​

  • Connect fractions, decimals and percentages and carry out simple conversions​ ​
  • Represent events in two-way tables and Venn diagrams and solve related problems​​ ​
  • Investigate the concept of irrational numbers, including π​​ ​
  • Find percentages of quantities and express one quantity as a percentage of another, with and without the use of digital technologies​ ​
  • Solve problems involving the use of percentages, including percentage increases and decreases, with and without the use of digital technologie​ ​

  • Describe events using language of 'at least', exclusive 'or' (A or B but not both), inclusive 'or' (A or B or both) and 'and'​ ​
  • Represent events in two-way tables and Venn diagrams and solve related problems​​ ​

  • Investigate the relationship between features of circles, such as the area and the radius use formulas to solve problems involving area​ ​

  • Exam Revision​ ​

  • Choose appropriate units of measurement for area and convert from one unit to another​ ​
  • Establish the formulas for areas of rectangles, triangles and parallelograms and use these in problem solving​
  • Find areas of trapeziums, rhombuses and kites​

  • Solve problems involving duration, including using 12-hour and 24-hour time within a single time zone​
    ​
  • Solve problems involving international time zones​
    ​

week 1

Volume

Prisms
  • Draw different views of prisms and solids formed from combinations of prisms
  • Choose appropriate units of measurement for volume and convert from one unit to another
  • Develop the formulas for the volumes of rectangular and triangular prisms and of prisms in general use formulas to solve problems involving volume

week 2

Volume

cylinders
  • Calculate the volumes of cylinders and solve related problems

week 3

Equations

Solving Equations
  • Solve simple linear equations
  • Solve linear equations using algebraic techniques and verify solutions by substitution
  • Solve simple quadratic equations

week 4

Indices

INDICES LAWS
  • Use index notation with numbers to establish the index laws with positive-integer indices and the zero index

week 5

Linear Relationships

  • Given coordinates, plot points on the Cartesian plane, and find coordinates for a given point

week 6

Indices

INDICES LAWS​
  • Extend and apply the index laws to variables, using positive-integer indices and the zero index

week 7

equations

  • Solve linear equations
  • Solve linear equations involving simple algebraic fractions
  • Substitute values into formulas to determine an unknown
  • Solve complex linear equations involving algebraic fractions

week 8

Linear Relationships

  • Plot linear relationships on the Cartesian plane, with and without the use of digital technologies
  • Describe translations, reflections in an axis, and rotations of multiples of 90° on the Cartesian plane using coordinates

week 9

Linear Relationships

  • Solve linear equations using graphical techniques
  • Find the midpoint and gradient of a line segment (interval) on the Cartesian plane using a range of strategies, including graphing software

week 10

Financial Mathematics

  • Investigate and calculate the Goods and Services Tax (GST), with and without the use of digital technologies

  • Draw different views of prisms and solids formed from combinations of prisms​ ​
  • Choose appropriate units of measurement for volume and convert from one unit to another​
  • Develop the formulas for the volumes of rectangular and triangular prisms and of prisms in general use formulas to solve problems involving volume​

  • Calculate the volumes of cylinders and solve related problems​ ​

  • Solve simple linear equations​ ​
  • Solve linear equations using algebraic techniques and verify solutions by substitution​ ​
  • Solve simple quadratic equations​ ​

  • Use index notation with numbers to establish the index laws with positive-integer indices and the zero index​ ​

  • Given coordinates, plot points on the Cartesian plane, and find coordinates for a given point​ ​

  • Extend and apply the index laws to variables, using positive-integer indices and the zero index​ ​

  • Solve linear equations​ ​
  • Solve linear equations involving simple algebraic fractions​ ​
  • Substitute values into formulas to determine an unknown​ ​
  • Solve complex linear equations involving algebraic fractions​ ​

  • Plot linear relationships on the Cartesian plane, with and without the use of digital technologies​ ​
  • Describe translations, reflections in an axis, and rotations of multiples of 90° on the Cartesian plane using coordinates​ ​

  • Solve linear equations using graphical techniques​ ​
  • Find the midpoint and gradient of a line segment (interval) on the Cartesian plane using a range of strategies, including graphing software​ ​

  • Investigate and calculate the Goods and Services Tax (GST), with and without the use of digital technologies​ ​

week 1

Financial Mathematics

  • Investigate and calculate 'best buys', with and without the use of digital technologies

week 2

Financial Mathematics

  • Solve problems involving profit and loss, with and without the use of digital technologies

week 3

Ratios and Rates

  • Recognise and solve problems involving simple ratios
  • Solve a range of problems involving ratios and rates, with and without the use of digital technologies

week 4

Ratios and Rates

  • Investigate, interpret and analyse graphs from authentic data

week 5

Ratios and Rates

  • Solve problems involving direct proportion explore the relationship between graphs and equations corresponding to simple rate problems

week 6

Properties of Geometrical Figures 1

  • Demonstrate that the angle sum of a triangle is 180° and use this to find the angle sum of a quadrilateral
  • Use the properties of special triangles and quadrilaterals to solve simple numerical problems with appropriate reasoning

week 7

Properties of Geometrical Figures 2

  • Define congruence of plane shapes using transformations
  • Develop the conditions for congruence of triangles
  • Formulate proofs involving congruent triangles and angle properties
  • Use the enlargement transformation to explain similarity

week 8

Properties of Geometrical Figures 2

Further congruency
  • Establish properties of quadrilaterals using congruent triangles and angle properties, and solve related numerical problems using reasoning

week 9

Angle Relationships

Use the language, notation and conventions of geometry
  • Use the language, notation and conventions of geometry
  • Recognise the geometrical properties of angles at a point
  • Identify corresponding, alternate and co-interior angles when two straight lines are crossed by a transversal

week 10

Algebra

Simplify algebraic expressions involving the four operations
  • Apply the order of operations to simplify a range of algebraic expressions, including those involving mixed operations

  • Investigate and calculate 'best buys', with and without the use of digital technologies​ ​

  • Solve problems involving profit and loss, with and without the use of digital technologies​ ​

  • Recognise and solve problems involving simple ratios​ ​
  • Solve a range of problems involving ratios and rates, with and without the use of digital technologies​ ​

  • Investigate, interpret and analyse graphs from authentic data ​

  • Solve problems involving direct proportion explore the relationship between graphs and equations corresponding to simple rate problems​ ​

  • Demonstrate that the angle sum of a triangle is 180° and use this to find the angle sum of a quadrilateral ​
  • Use the properties of special triangles and quadrilaterals to solve simple numerical problems with appropriate reasoning ​

  • Define congruence of plane shapes using transformations ​
  • Develop the conditions for congruence of triangles ​
  • Formulate proofs involving congruent triangles and angle properties ​
  • Use the enlargement transformation to explain similarity ​

  • Establish properties of quadrilaterals using congruent triangles and angle properties, and solve related numerical problems using reasoning ​

  • Use the language, notation and conventions of geometry ​
  • Recognise the geometrical properties of angles at a point
  • Identify corresponding, alternate and co-interior angles when two straight lines are crossed by a transversal

  • Apply the order of operations to simplify a range of algebraic expressions, including those involving mixed operations ​

week 1

Data Collection and Representation

  • Descriptive Statistics and Bivariate Data Analysis
  • Construct and compare a range of data displays, including stem-and-leaf plots and dot plots
  • Construct back-to-back stem-and-leaf plots and histograms and describe data, using terms including 'skewed', 'symmetric' and 'bi-modal'

week 2

Statistical Analysis

Single Variable Data Analysis
  • Determine quartiles and interquartile range
  • Construct and interpret box plots and use them to compare data se
  • Compare data displays using mean, median and range to describe and interpret numerical data sets in terms of location (centre) and spread
  • Descriptive Statistics and Bivariate Data Analysis

week 3

Surface

cylinders
  • Calculate the surface areas of cylinders and solve related problems

week 4

Volume

cylinders
  • Volume of cylinders

week 5

Algebraic Techniques

Factorising
  • Expand binomial products and factorise monic quadratic expressions using a variety of strategies

week 6

ALGEBRAIC TECHNIQUES​

Factorising
  • Factorising involving indices

week 7

Indices

  • Apply index laws to numerical expressions with integer indices

week 8

Algebra

Algebraic Techniques
  • Apply the four operations to simple algebraic fractions with numerical denominators
  • Apply the four operations to algebraic fractions with pronumerals in the denominator

week 9

Algebra

Algebraic Techniques
  • Apply the distributive law to the expansion of algebraic expressions, including binomials, and collect like terms where appropriate
  • Factorise algebraic expressions by taking out a common algebraic factor
  • Expand binomial products and factorise monic quadratic expressions using a variety of strategies

week 10

Equations

Harder Simultaneous Equations
  • Solve problems involving linear equations, including those derived from formulas
  • Solve linear simultaneous equations, using algebraic and graphical techniques, including with the use of digital technologies

  • Construct and compare a range of data displays, including stem-and-leaf plots and dot plots​ ​
  • Construct back-to-back stem-and-leaf plots and histograms and describe data, using terms including 'skewed', 'symmetric' and 'bi-modal'

  • Determine quartiles and interquartile range ​
  • Construct and interpret box plots and use them to compare data se
  • Compare data displays using mean, median and range to describe and interpret numerical data sets in terms of location (centre) and spread
  • Descriptive Statistics and Bivariate Data Analysis

  • Calculate the surface areas of cylinders and solve related problems ​

  • Volume of cylinders ​

  • Expand binomial products and factorise monic quadratic expressions using a variety of strategies ​

  • Factorising involving indices ​

  • Apply index laws to numerical expressions with integer indices ​

  • Apply the four operations to simple algebraic fractions with numerical denominators ​
  • Apply the four operations to algebraic fractions with pronumerals in the denominator

  • Apply the distributive law to the expansion of algebraic expressions, including binomials, and collect like terms where appropriate​ ​
  • Factorise algebraic expressions by taking out a common algebraic factor
  • Expand binomial products and factorise monic quadratic expressions using a variety of strategies

  • Solve problems involving linear equations, including those derived from formulas ​
  • Solve linear simultaneous equations, using algebraic and graphical techniques, including with the use of digital technologies