Maths

General expectation:

By the end of Year 7, students will be able to:

If the student is following WA Curriculum:

  • Use fractions, decimals and percentages, and their equivalences.
  • Express one quantity as a fraction or percentage of another.
  • Solve simple linear equations and evaluate algebraic expressions after numerical substitution.
  • Assign ordered pairs to given points on the Cartesian plane.
  • Use formulas for the area and perimeter of rectangles and calculate volumes of rectangular prisms.
  • Classify triangles and quadrilaterals.
  • Name the types of angles formed by a transversal crossing parallel lines.
  • Determine the sample space for simple experiments with equally likely outcomes and assign probabilities to those outcomes.
  • Calculate mean, mode, median and range for data sets.
  • Construct stem-and-leaf plots and dot plots.

If the student is following Australian Curriculum:

  • Solve problems involving the comparison, addition and subtraction of integers
  • Make the connections between whole numbers and index notation and the relationship between perfect squares and square roots.
  • Solve problems involving percentages and all four operations with fractions and decimals.
  • Compare the cost of items to make financial decisions.
  • Represent numbers using variables.
  • Connect the laws and properties for numbers to algebra.
  • Interpret simple linear representations and model authentic information.
  • Describe different views of three-dimensional objects.
  • Represent transformations in the Cartesian plane.
  • Solve simple numerical problems involving angles formed by a transversal crossing two lines.
  • Identify issues involving the collection of continuous data.
  • Describe the relationship between the median and mean in data displays.

Advance:

During the course, if the student is identified as capable, he/she will receive extra-training to go above the current year level curriculum

  • Explore algebraic expansion
  • Solve simple simultaneous equation
  • Non-linear equation and quadratic Expression
  • Calculate area of non-traditional shapes
  • Quadrilaterals’ properties
  • Introduction to discreet probability
  • Simple probability

 

Should the student be willing and capable, he/she will be offered training for the following competitions:

  • Australian Mathematics Competition
  • Australasian Problem Solving Mathematical Olympics
  • WA Junior Mathematics Olympiad

General expectation:

By the end of Year 8, students will be able to:

If the student is following WA Curriculum:

  • Solve everyday problems involving rates, ratios and percentages.
  • Describe index laws and apply them to whole numbers.
  • Describe rational and irrational numbers.
  • Solve problems involving profit and loss.
  • Make connections between expanding and factorising algebraic expressions.
  • Solve problems relating to the volume of prisms.
  • Make sense of time duration in real applications.
  • Identify conditions for the congruence of triangles and deduce the properties of quadrilaterals.
  • Model authentic situations with two-way tables and Venn diagrams.
  • Choose appropriate language to describe events and experiments.
  • Explain issues related to the collection of data and the effect of outliers on means and medians in that data.

If the student is following Australian Curriculum:

  • Use efficient mental and written strategies to carry out the four operations with integers.
  • Simplify a variety of algebraic expressions.
  • Solve linear equations and graph linear relationships on the Cartesian plane.
  • Convert between units of measurement for area and volume.
  • Perform calculations to determine perimeter and area of parallelograms, rhombuses and kites.
  • Name the features of circles and calculate the areas and circumferences of circles.
  • Determine the probabilities of complementary events and calculate the sum of probabilities.

Advance:

During the course, if the student is identified as capable, he/she will receive extra-training to go above the current year level curriculum

  • Explore algebraic expansion and factorisation
  • Solve simultaneous equations with up to 4 variables
  • Solving monic quadratic equations
  • Basic trigonometry.
  • Introduction to proof

 

Should the student be willing and capable, he/she will be offered training for the following competitions:

  • Australian Mathematics Competition
  • WA Junior Mathematics Olympiad
  • Mathematics Challenge for Young Australians
  • Australian Intermediate Mathematics Olympiad

 

Exceptional students will receive recommendation to UWA Academy for Young Mathematicians and a chance to join WA Maths Olympiad team.

General expectation:

By the end of Year 9, students will be able to:

If the student is following WA Curriculum:

  • Solve problems involving simple interest.
  • Interpret ratio and scale factors in similar figures.
  • Explain similarity of triangles.
  • Recognise the connections between similarity and the trigonometric ratios.
  • Compare techniques for collecting data from primary and secondary sources.
  • Make sense of the position of the mean and median in skewed, symmetric and bi-modal displays to describe and interpret data.

 

If the student is following Australian Curriculum

  • Apply the index laws to numbers and express numbers in scientific notation.
  • Expand binomial expressions.
  • Find the distance between two points on the Cartesian plane and the gradient and midpoint of a line segment.
  • Sketch linear and non-linear relations.
  • Calculate areas of shapes and the volume and surface area of right prisms and cylinders.
  • Use Pythagoras’ Theorem and trigonometry to find unknown sides of right-angled triangles.
  • Calculate relative frequencies to estimate probabilities, list outcomes for two-step experiments and assign probabilities for those outcomes.
  • Construct histograms and back-to-back stem-and-leaf plots.

Advance:

During the course, if the student is identified as capable, he/she will receive extra-training to go above the current year level curriculum

  • Solve quadratic equations using completing the square and the determinant
  • Similar triangles & expansion to congruent triangles
  • Construct mathematical proof
  • Formula of perpendicular lines in Cartesian plane

Should the student be willing and capable, he/she will be offered training for the following competitions:

  • Australian Mathematics Competition
  • WA Junior Mathematics Olympiad
  • Mathematics Challenge for Young Australians
  • Australian Intermediate Mathematics Olympiad

Exceptional students will receive recommendation to UWA Academy for Young Mathematicians and a chance to join WA Maths Olympiad team.

General expectation:

By the end of Year 10, students will be able to:

If the student is following WA Curriculum:

  • Recognise the connection between simple and compound interest.
  • Solve problems involving linear equations and inequalities.
  • Make the connections between algebraic and graphical representations of relations.
  • Solve surface area and volume problems relating to composite solids.
  • Recognise the relationships between parallel and perpendicular lines.
  • Apply deductive reasoning to proofs and numerical exercises involving plane shapes.
  • Compare data sets by referring to the shapes of the various data displays.
  • Describe bivariate data where the independent variable is time.
  • Describe statistical relationships between two continuous variables.
  • Evaluate statistical reports.

If the student is following Australian Curriculum:

  • Expand binomial expressions and factorise monic quadratic expressions.
  • Find unknown values after substitution into formulas.
  • Perform the four operations with simple algebraic fractions.
  • Solve simple quadratic equations and pairs of simultaneous equations.
  • Use triangle and angle properties to prove congruence and similarity.
  • Use trigonometry to calculate unknown angles in right-angled triangles.
  • List outcomes for multi-step chance experiments and assign probabilities for these experiments.
  • Calculate quartiles and inter-quartile ranges.

Advance:

During the course, if the student is identified as capable, he/she will receive extra-training to go above the current year level curriculum

  • Advance mathematical proof: proof by direct proof, by contradiction and by induction
  • Advance plane geometry
  • 3D visualisation
  • Introduction to Calculus
  • Statistical Analysis

Should the student be willing and capable, he/she will be offered training for the following competitions:

  • Australian Mathematics Competition
  • Mathematics Challenge for Young Australians
  • Australian Intermediate Mathematics Olympiad

Exceptional students will receive:

  • Recommendation to UWA Academy for Young Mathematicians
  • Invitation to national and international competitions such as Tournament of Towns and Australian Mathematics Olympiad
  • A chance to join WA Maths Olympiad team

Maths Application: Students will be able to:

  • Understand the concepts and techniques, as well as applying reasoning skills and solve practical problems in consumer arithmetic, algebra and matrices, shape and measurement, univariate data analysis and the statistical process, linear equations and their graphs, and applications of trigonometry
  • Implement the statistical investigation process in contexts requiring the analysis of univariate data
  • Communicate their arguments and strategies when solving mathematical and statistical problems, using appropriate mathematical or statistical language
  • Interpret mathematical and statistical information, and ascertain the reasonableness of their solutions to problems and answers to statistical questions
  • Choose and use technology appropriately and efficiently.

 

Maths Methods: Students will be able to:

By the end of this unit, students:

  • Understand the concepts and techniques, apply reasoning skills and solve problems in algebra, functions, graphs, trigonometric functions, counting, probability, sequences and series, functions, graphs and calculus.
  • Interpret and evaluate mathematical information and ascertain the reasonableness of solutions to problems
  • Communicate their arguments and strategies when solving problems.

 

Maths Specialist: Students will be able to:

  • Understand the concepts and techniques, apply reasoning skills and solve problems in combinatorics, geometry, vectors, trigonometry, real and complex numbers, and matrices.
  • Communicate their arguments and strategies when solving problems
  • Construct proofs of results in a variety of contexts, including algebraic and geometric
  • Interpret mathematical information and ascertain the reasonableness of their solutions to problems.

Maths Application: Students will be able to:

  • Understand the concepts and techniques, as well as applying reasoning skills and solve practical problems in bivariate data analysis, growth and decay in sequences, graphs and networks, time series analysis, loans, investments and annuities, and networks and decision mathematics
  • Implement the statistical investigation process in contexts requiring the analysis of univariate data
  • Communicate their arguments and strategies when solving mathematical and statistical problems, using appropriate mathematical or statistical language
  • Interpret mathematical and statistical information, and ascertain the reasonableness of their solutions to problems and answers to statistical questions
  • Evaluate the reasonableness of their solutions to problems and their answers to questions
  • Choose and use technology appropriately and efficiently.

 

Maths Methods: Students will be able to:

By the end of this unit, students:

  • Understand the concepts and techniques, apply reasoning skills and solve problems in calculus, probability and statistics.
  • Interpret and evaluate mathematical information and ascertain the reasonableness of solutions to problems
  • Communicate their arguments and strategies when solving problems.

 

Maths Specialist: Students will be able to:

  • Understand the concepts and techniques, apply reasoning skills and solve problems in vectors, complex numbers, functions, graph sketching, applications of calculus and statistical inference
  • Communicate their arguments and strategies when solving problems
  • Construct proofs of results

Interpret mathematical information and ascertain the reasonableness of their solutions to problem

CLASS DAY TIME
Tuesday 17:00 - 18:30
Thursday 17:00 - 18:30
Saturday 09:00 - 10:30
11:00 - 12:30
13:00 - 14:30
15:00 - 16:30

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