formulas-of-shapes-math-heart-shape-with-math-formulas-for-your-design-stock-vector-rectangle-formula-math Math formulas-of-shapes-math-heart-shape-with-math-formulas-for-your-design-stock-vector-rectangle-formula-math

Measurement and Geometry MAG-Richtner-Creating-Measurements-Innovation-1200

Statistics & Probability basic_statsprob_graphik_3

Chance GCO-STIK01-550x550

Data Representation & Interpretation beautiful-math-1

Year 6

Describe probabilities using fractions, decimals and percentages

Conduct chance experiments with both small and large numbers of trials using appropriate digital technologies

Year 7

Compare observed frequencies across experiments with expected frequencies

Construct sample spaces for single-step experiments with equally likely outcomes

Assign probabilities to the outcomes of events and determine probabilities for events

Represent events in two-way tables and Venn diagrams and solve related problems

Year 8

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

Describe events using language of ‘at least’, exclusive ‘or’ (A or B but not both), inclusive ‘or’ (A or B or both) and ‘and’

Investigate reports of surveys in digital media and elsewhere for information on how data were obtained to estimate population means and medians

Year 9

List all outcomes for two-step chance experiments, both with and without replacement using tree diagrams or arrays. Assign probabilities to outcomes and determine probabilities for events

Calculate relative frequencies from given or collected data to estimate probabilities of events involving ‘and’ or ‘or’

Year 10

Describe the results of two- and three-step chance experiments, both with and without replacements, assign probabilities to outcomes and determine probabilities of events. Investigate the concept of independence

10 A

Investigate reports of studies in digital media and elsewhere for information on their planning and implementation

Year 6

Interpret and compare a range of data displays, including side-by-side column graphs for two categorical variables

Interpret secondary data presented in digital media and elsewhere

Year 7

Identify and investigate issues involving numerical data collected from primary and secondary sources

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. Interpret these statistics in the context of data

Describe and interpret data displays using median, mean and range

Year 8

Investigate techniques for collecting data, including census, sampling and observation

practicalities and implications of obtaining data through sampling using a variety of investigative processes

Explore the variation of means and proportions of random samples drawn from the same population

Investigate the effect of individual data values, including outliers, on the mean and median

Year 9

Identify everyday questions and issues involving at least one numerical and at least one categorical variable, and collect data directly and from secondary sources

Construct back-to-back stem-and-leaf plots and histograms and describe data, using terms including ‘skewed’, ‘symmetric’ and ‘bi modal’

Compare data displays using mean, median and range to describe and interpret numerical data sets in terms of location (centre) and spread

Year 10

Determine quartiles and interquartile range

Construct and interpret box plots and use them to compare data sets

Compare shapes of box plots to corresponding histograms and dot plots

Use scatter plots to investigate and comment on relationships between two numerical variables

Evaluate statistical reports in the media and other places by linking claims to displays, statistics and representative data

10 A

Calculate and interpret the mean and standard deviation of data and use these to compare data sets

Use information technologies to investigate bivariate numerical data sets. Where appropriate use a straight line to describe the relationship allowing for variation

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Year 7: Establish the formulas for areas of rectangles, triangles and parallelograms, and use these in problem-solving

Year 8: Choose appropriate units of measurement for area and volume and convert from one unit to another

Year 9 Calculate areas of composite shapes

Year 7: Calculate volumes of rectangular prisms

Year 8: Find perimeters and areas of parallelograms, trapeziums, rhombuses and kites

Year 9: Calculate the surface area and volume of cylinders and solve related problems


Solve problems involving the surface area and volume of right prisms

Year 10: Solve problems involving surface area and volume for a range of prisms, cylinders and composite solids

10A: Solve problems involving surface area and volume of right pyramids, right cones, spheres and related composite solids

Acellus-Advanced-Algebra-I Year 8: Investigate the relationship between features of circles such as circumference, area, radius and diameter. Use formulas to solve problems involving circumference and area

square1 Year 8: Develop formulas for volumes of rectangular and triangular prisms and prisms in general. Use formulas to solve problems involving Year volume

images (4) Year 8: Solve problems involving duration, including using 12- and 24-hour time within a single time zone

Shape free-geometric-shape-vector

Year 7 Draw different views of prisms and solids formed from combinations of prisms

Location and Transformation optimus2

Year 7 Describe translations, reflections in an axis and rotations of multiples of 90° on the Cartesian plane using coordinates. Identify line and rotational symmetries

Geometric Reasoning product_JSAB_BossBeats_designview_1024x1024

Year 7: Identify corresponding, alternate and co-interior angles when two straight lines are crossed by a transversal

Year 8: Define congruence of plane shapes using transformations


Develop the conditions for congruence of triangles

Year 9: Use the enlargement transformation to explain similarity and develop the conditions for triangles to be similar


Solve problems using ratio and scale factors in similar figures

Year 10: Formulate proofs involving congruent triangles and angle properties


Apply logical reasoning, including the use of congruence and similarity, to proofs and numerical exercises involving plane shapes

10A:Prove and apply angle and chord properties of circles images (1)

Year 7 Investigate conditions for two lines to be parallel and solve simple numerical problems using reasoning

Year 7: Demonstrate that the angle sum of a triangle is 180° and use this to find the angle sum of a quadrilateral

Year 8: Establish properties of quadrilaterals using congruent triangles and angle properties, and solve related numerical problems using reasoning

Year 7: Classify triangles according to their side and angle properties and describe quadrilaterals

Pythagoras and trigonometry pythagoras-gary-brown

Year 9: Use similarity to investigate the constancy of the sine, cosine and tangent ratios for a given angle in right-angled triangles

Year 10A: Use the unit circle to define trigonometric functions, and graph them with and without the use of digital technologies

Year 9 Apply trigonometry to solve
right-angled triangle problems

Year 10A: Solve simple trigonometric equations c231c9b4086845a7117ae28c98cca9ed

Year 10A: Apply Pythagoras’ Theorem and trigonometry to solving
three-dimensional problems in right-angled triangles

Number & Algebra poster-albero-di-arte-con-simboli-matematici-per-la-progettazione

Number and Place Value images (9)

Year 7

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

Investigate and use square roots of perfect square numbers


Apply the associative, commutative and distributive laws to aid mental and written computation


Compare, order, add and subtract integers

Year 8

Use index notation with numbers to establish the index laws with positive integral indices and the zero index

Carry out the four operations with rational numbers and integers, using efficient mental and written strategies and appropriate digital technologies

Fractions and Decimals download

Year 6:

Compare fractions with related denominators and locate and represent them on a number line

Real Numbers numbers-head

Year 7

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Compare fractions using equivalence. Locate and represent positive and negative fractions and mixed numbers 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

Connect fractions, decimals and percentages and carry out simple conversions


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

Recognise and solve problems involving simple ratios

Year 8

Investigate terminating and recurring decimals

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

Solve a range of problems involving rates and ratios, with and without digital technologies

Investigate the concept of irrational numbers, including π

Year 9

Apply index laws to numerical expressions with integer indices


Express numbers in scientific notation

Solve problems involving direct proportion. Explore the relationship between graphs and equations corresponding to simple rate problems

10A

Use the definition of a logarithm to establish and apply the laws of logarithms

Define rational and irrational numbers and perform operations with surds and fractional indices

Money and financial mathematics images (5)

Year 7: Investigate and calculate ‘best buys’, with and without digital technologies

Year 8: Solve problems involving profit and loss, with and without digital technologies

Year 9:Solve problems involving simple interest

Year 10: Connect the compound interest formula to repeated applications of simple interest using appropriate digital technologies

Patterns and algebra: shutterstock_521153674

Year7: Introduce the concept of variables as a way of representing numbers using letters : BV6m8cTIMAAJZJu

Year 8: Extend and apply the distributive law to the expansion of algebraic expressions

Year 9 Extend and apply the index laws to variables, using positive integer indices and the zero index

Year 10: Factorise algebraic expressions by taking out a common algebraic factor

10A: Investigate the concept of a polynomial and apply the factor and remainder theorems to solve problems

Year 7: Create algebraic expressions and evaluate them by substituting a given value for each variable

Year 8: Factorise algebraic expressions by identifying numerical factors

Year 9: Apply the distributive law to the expansion of algebraic expressions, including binomials, and collect like terms where appropriate

Year 10: Simplify algebraic products and quotients using index laws

Year 7: Extend and apply the laws and properties of arithmetic to algebraic terms and expressions

Year 8: Simplify algebraic expressions involving the four operations

Year 10: Apply the four operations to simple algebraic fractions with numerical denominators

Year 10: Expand binomial products and factorise monic quadratic expressions using a variety of strategies

Year 10: Substitute values into formulas to determine an unknown

Linear and non-linear relationships algebra-graphing-trigonometry-line-graph-linear-equation

Year 7:

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

Solve simple linear equations

Investigate, interpret and analyse graphs from authentic data

Year 8

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

Solve linear equations using algebraic and graphical techniques. Verify solutions by substitution

Year 9

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Find the distance between two points located on the Cartesian plane using a range of strategies, including graphing software

Find the midpoint and gradient of a line segment (interval) on the Cartesian plane using a range of strategies, including graphing software

Sketch linear graphs using the coordinates of two points and solve linear equations

Graph simple non-linear relations with and without the use of digital technologies and solve simple related equations

Year 10

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Solve problems involving linear equations, including those derived from formulas

Solve linear inequalities and graph their solutions on a number line

Solve linear simultaneous equations, using algebraic and graphical techniques, including using digital technology

Solve problems involving parallel and perpendicular lines

Explore the connection between algebraic and graphical representations of relations such as simple quadratics, circles and exponentials using digital technology as appropriate

Solve linear equations involving simple algebraic fractions

Solve simple quadratic equations using a range of strategies

10A

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Describe, interpret and sketch parabolas, hyperbolas, circles and exponential functions and their transformations

Solve simple exponential equations

Apply understanding of polynomials to sketch a range of curves and describe the features of these curves from their equation

Factorise monic and non-monic quadratic expressions and solve a wide range of quadratic equations derived from a variety of contexts

Year 9: Investigate Pythagoras’ Theorem and its application to solving simple problems involving right-angled triangles adjacent-opposite-hypotenuse

Year 10: Solve right-angled triangle problems including those involving direction and angles of elevation and depression

10A: Establish the sine, cosine and area rules for any triangle and solve related problems

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