Windsor High School
MATHEMATICS
STUDENTS MUST CHOOSE
MATHEMATICS
EACH SEMESTER
IN YEARS 9 AND 10.
Windsor High School
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MATHEMATICS
From 2005 there is only one mathematics course from years 7 – 9. Year 10 will study the Advanced, Intermediate
and Standard courses but from 2006 there will be only one mathematics course from 7 – 10. Students learn at
different rates and so the minimum requirement is that students reach outcomes that are equivalent to the Basic
Stage 5 level. This is known in the syllabus as 5.1. The other classes running in year 9 for next year have a
different destination. We call these ‘Leading to 5.2’ and ‘Leading to 5.3’. Each class is designed to cater for
students’ abilities and interests, and to ensure students have the opportunity to fulfill their potential.
Students placed in 5.1 – These students are still struggling with concepts studied in years 7 and 8, and need the
opportunity to revisit these concepts to build a deeper understanding.
Students placed in 5.2 – These students are generally good with their mathematical skills. Students who wish to
study mathematics in years 11 and 12 should have reached the 5.2 outcomes by the end of year 10.
Students placed in 5.3 – These students should have a high standard of mathematical ability. Students who wish to
study Extension 1 mathematics in year 11 MUST have reached the 5.3 outcomes by the end of year 10.
Students will be placed in a suitable level for years 9 and 10. Teachers will continue to monitor each student’s
mathematical development, and make changes of class, if appropriate.
Mathematics courses will be offered each semester in the following sequence:
LEADING TO 5.1
2MA211
2MA212
2MA311
2MA312
2MA222
2MA321
2MA322
2MA232
2MA331
2MA332
LEADING TO 5.2
2MA221
LEADING TO 5.3
2MA231
Windsor High School
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MATHEMATICS - LEADING TO 5.3
Course: LEADING TO 5.3 Part 1
Course Code: 2MA231
Course Outline: Rational Numbers, Algebra, Consumer Arithmetic, Equations/Inequations, Measurement, Data,
and Probability.
Prerequisites: Teacher recommendation
Outcomes: At the completion of this course, students will be able to:
 Round decimals to a specified number of significant figures, express recurring decimals in fraction form and
convert rates from one set of units to another.
 Use the algebraic symbol system to simplify, expand and factorise simple algebraic expressions.
 Simplify expand and factorise algebraic expressions involving fractions.
 Use algebraic techniques to simplify expressions, expand binomial products and factorise quadratic expressions.
 Solve consumer arithmetic problems involving earning and spending money.
 Solve linear, quadratic and simultaneous equations, solve and graph inequalities, and rearranges literal
equations.
 Use formulae and Pythagoras’ theorem in calculating area of circles and figures composed of rectangles and
triangles.
 Collect statistical data using either a census or a sample, and analyse data using measures of location and range.
 Group data to aid analysis and construct frequency and cumulative frequency tables and graphs.
 Determine relative frequencies and theoretical probabilities.
Course: LEADING TO 5.3 Part 2
Course Code: 2MA232
Course Outline: Surds, Indices, Geometry, Linear Functions, Trigonometry, Simultaneous Equations, Coordinate
Geometry.
Prerequisites: 2MA231
Outcomes: At the completion of this course, students will be able to:
 Perform operations with surds.
 Apply index laws to simplify and evaluate arithmetic expressions and use scientific notation to write large and
small numbers.
 Perform operations with indices.
 Identify and name angles formed by the intersection of straight lines, including those related to transversals on
sets of parallel lines, and make use of the relationships between them.
 Classify, construct, and determine the properties of triangles and quadrilaterals
 Identify congruent and similar two-dimensional figures stating the relevant conditions.
 Develop and apply results for proving that triangles are congruent or similar.
 Graph and interpret linear relationships on the number plane.
 Determine the midpoint, length and gradient of an interval joining two points on the number plane and graph
linear and simple non-linear relationships from equations.
 Use formulae to find midpoint, distance and gradient and apply the gradient/intercept form to interpret and
graph straight lines.
 Apply trigonometry to solve problems (diagrams given) including those involving angles of elevation and
depression.
 Apply trigonometry to solve problems including those involving bearings.
 Solve linear and simple quadratic equations, solve linear inequalities and solve simultaneous equations using
graphical and analytical methods.
 Use formulae to find midpoint, distance and gradient and apply the gradient/intercept form to interpret and
graph straight lines.
 Use various standard forms of the equation of a straight line and graph regions on the number plane.
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MATHEMATICS - ADVANCED
Course: ADVANCED MATHEMATICS 3
Course Code: 2MA331
Course Outline: indices, quadratic expressions, surds, similarity, chance, co-ordinate geometry, simultaneous
equations, data.
Prerequisites: 2MA232
Outcomes: At the completion of this course, students will have:
 performed operations and solved problems using indices
 worked with quadratic expressions and relationships simplifying, factorising, solving, generating them from
problems and graphing
 performed operations and solved problems using surds
 identified similar figures, recognised the real life applications and applied the four similarity tests to solve
numerical and algebraic problems
 performed simple chance experiments and solved simple probability problems
 represented circles algebraically and graphed inequalities on the number plane
 generated simultaneous equations and solved them using algebraic and graphical methods
 found and interpreted measures of location and spread, compared sets of data and drawn conclusions from
investigations.
Course: ADVANCED MATHEMATICS 4
Course Code: 2MA332
Course Outline: consumer arithmetic, surface area and volumes, quadratic equations and the parabola, rates and
variation, trigonometry, reasoning in algebra, further geometry.
Prerequisites: 2MA331
Outcomes: At the completion of this course, students will have:
 calculated simple and compound interest and investigated money investments and loans
 calculated the surface areas and volumes of cones, pyramids and spheres
 solved quadratic equations, problems involving quadratic equations and investigated the graphing of the
parabola
 interpreted and used rates to solve problems and worked out solutions to problems involving direct and inverse
variation
 used trigonometric rules and formulae to solve practical problems in non right angle triangles
 related graphs and algebra to physical phenomena and solved related problems.
Windsor High School
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MATHEMATICS – LEADING TO 5.2
Course: LEADING TO 5.2 Part 1
Course Code: 2MA221
Course Outline: Rational Numbers, Algebra, Consumer Arithmetic, Equations/Inequations, Measurement, and
Data.
Prerequisites: Teacher recommendation
Outcomes: At the completion of this course, students will be able to:
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Round decimals to a specified number of significant figures, express recurring decimals in fraction form and
convert rates from one set of units to another.
Use the algebraic symbol system to simplify, expand and factorise simple algebraic expressions.
Simplify expand and factorise algebraic expressions involving fractions.
Use algebraic techniques to simplify expressions, expand binomial products and factorise quadratic expressions.
Solve consumer arithmetic problems involving earning and spending money.
Solve linear, quadratic and simultaneous equations, solve and graph inequalities, and rearrange literal equations.
Use formulae and Pythagoras’ theorem in calculating area of circles and figures composed of rectangles and
triangles.
Collect statistical data using either a census or a sample, and analyse data using measures of location and range.
Group data to aid analysis and constructs frequency and cumulative frequency tables and graphs.
Course Name: LEADING TO 5.2 Part 2
Course Code: 2MA222
Course Outline: Probability, Indices, Geometry, Linear Functions, Trigonometry, Coordinate Geometry.
Prerequisites: 2MA221
Outcomes: At the completion of this course, students will be able to:
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Determine relative frequencies and theoretical probabilities.
Apply index laws to simplify and evaluate arithmetic expressions and use scientific notation to write large and
small numbers.
Perform operations with indices.
Identify and names angles formed by the intersection of straight lines, including those related to transversals on
sets of parallel lines, and make use of the relationships between them.
Classify, construct, and determine the properties of triangles and quadrilaterals.
Identifies congruent and similar two-dimensional figures stating the relevant conditions.
Develops and applies results for proving that triangles are congruent or similar.
Graphs and interprets linear relationships on the number plane.
Determines the midpoint, length and gradient of an interval joining two points on the number plane and graphs
linear and simple non-linear relationships from equations.
Uses formulae to find midpoint, distance and gradient and applies the gradient/intercept form to interpret and
graph straight lines.
Applies trigonometry to solve problems (diagrams given) including those involving angles of elevation and
depression.
Uses formulae to find midpoint, distance and gradient and applies the gradient/intercept form to interpret and
graph straight lines.
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MATHEMATICS - INTERMEDIATE
Course Name: INTERMEDIATE MATHEMATICS 3
Course Code: 2MA321
Course Outline: scale drawing, indices, trigonometry, congruence, surface area and volumes, consumer arithmetic.
Prerequisites: 2MA222
Outcomes: At the completion of this course, students will have:
 interpreted and used scale, identified similar figures, recognized the real life applications and calculated
dimensions of similar figures
 simplified algebraic expressions containing indices and solved equations arising from substitution into formulas
 worked with transformations in identifying congruent figures and applied the four congruence tests to solve
problems
 calculated the surface areas and volumes of cones, pyramids and spheres and solved related problems
 calculated Simple and Compound Interest and investigated money investments and loans.
Course Name: INTERMEDIATE MATHEMATICS 4
Course Code: 2MA322
Course Outline: geometric facts, ratio and rates, geometric drawing, pythagoras, equations and inequalities, scale
drawing, indices, trigonometry.
Prerequisites: 2MA321
Outcomes: At the completion of this course, students will have:
 investigated straight lines, identified features from their graphs and solved simultaneous equations graphically
 investigated, identified and drawn a variety of different graphs and matched graphs to everyday situations
 found and interpreted measures of location and spread, compared sets of data and drawn conclusions from
investigations
 performed simple chance experiments and solved simple probability problems
 students develop, select and use a range of strategies, including the use of technology, to explore and develop
solutions in solving problems.
Windsor High School
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MATHEMATICS – LEADING TO 5.1
Course: LEADING TO 5.1 Part 1
Course Code: 2MA211
Course Outline: whole numbers, number patterns, fractions decimals and percentages, rational numbers,
probability.
Prerequisites: Teacher recommendation
Outcomes: At the completion of this course, students will be able to:
 recognise the properties of special groups of whole numbers.
 Compare, order and calculate with integers.
 create, record and describe number patterns using words and algebraic symbols in a variety of ways.
 operate with fractions, decimals, percentages.
 round numbers to a specified level of accuracy.
 determine relative frequencies and theoretical probabilities.
Course: LEADING TO 5.1 Part 2
Course Code: 2MA212
Course Outline: algebra techniques, pythagoras, perimeter and area, operations with
fractions/decimals/percentages, time, harder area and surface area, properties of solids.
Prerequisites: 2MA211
Outcomes: At the completion of this course, students will be able to:
 use the algebraic symbol system to simplify, expand and factorise simple algebraic expressions.
 use algebraic techniques to solve linear equations and simple inequalities.
 apply the index laws to simplify algebraic expressions.
 use formulae and Pythagoras’ theorem in calculating perimeter and area of circles and figures composed of
rectangles and triangles.
 use formulae to calculate the area of quadrilaterals and simple composite figures.
 operate with fractions, decimals, percentages, ratios and rates.
 perform calculations involving time.
 describe and sketch three-dimensional solids including polyhedra and classify them in terms of their properties.
Windsor High School
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MATHEMATICS – STANDARD
Course: STANDARD MATHEMATICS 3
Course Code: 2MA311
Course Outline: consumer, number plane, surface area and volume, rational numbers, ratio and rates, data, angles.
Prerequisites: 2MA212
Outcomes: At the completion of this course, students will be able to:
 solve consumer arithmetic problems involving earning and spending money.
 graph and interpret linear relationships on the number plane.
 calculate surface area of rectangular and triangular prisms and volume of right prisms and cylinders.
 apply index laws to simplify and evaluate arithmetic expressions and use scientific notation to write large and
small numbers.
 operate with ratios and rates.
 collect statistical data using either a census or a sample and analyse data using measures of location and range.
 identify and name angles formed by the intersection of straight lines, including those related to transversals on
sets of parallel lines, and make use of the relationships between them.
Course: STANDARD MATHEMATICS 4
Course Code: 2MA312
Course Outline: similarity and congruence, co-ordinate geometry, trigonometry, graphs, properties of geometrical
figures, data
Prerequisites: 2MA311
Outcomes: At the completion of this course, students will have:
 identify similar and congruent figures stating the relevant conditions.
 graph linear and simple non-linear relationships from equations and determine the midpoint, length and gradient
of an interval joining two points on the number plane.
 apply trigonometry to solve problems (diagrams given) including those involving angles of elevation and
depression.
 draw and interpret graphs of physical phenomena.
 classify, construct and determine the properties of triangles and quadrilaterals.
 group data to aid analysis and construct frequency and cumulative frequency tables and graphs.
Windsor High School
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