9 Maths
A work in progress.
Mr. Ward does not currently teach year 9 mathematics. However, you can Solve the progressively growing collection of lesson material here:
Achievement Standard (ACARA AC9 9 Maths)
By the end of Year 9, students:
- Recognise and Use rational and irrational numbers to Solve problems.
- Extend and Apply the exponent laws with positive integers to variables.
- Expand binomial products, and factorise monic quadratic expressions.
- Find the distance between 2 points on the Cartesian plane, and the gradient and midpoint of a line segment.
- Use mathematical modelling to solve problems involving change in financial and other applied contexts, choosing to use linear and quadratic functions.
- Draw quadratic functions and solve monic quadratic equations with integer roots algebraically.
- Describe the effects of variation of parameters on functions and relations, Use digital tools, and make connections between their graphical and algebraic representations.
- Apply formulas to solve problems involving the surface area and volume of right prisms and cylinders.
- Solve problems involving ratio, similarity and scale in two-dimensional situations.
- Determine percentage errors in measurements.
- Apply Pythagoras’ theorem and use trigonometric ratios to solve problems involving right-angled triangles.
- Use mathematical modelling to solve practical problems involving direct proportion, ratio and scale, evaluating the model and communicating their methods and findings.
- Express small and large numbers in scientific notation.
- Apply the enlargement transformation to images of shapes and objects, and Interpret results.
- Design, use and test algorithms based on geometric constructions or theorems.
- Compare and analyse the distributions of multiple numerical data sets, Choose representations, describe features of these data sets using summary statistics and the shape of distributions, and consider the effect of outliers.
- Explain how sampling techniques and representation can be used to support or question conclusions or to promote a point of view.
- Determine sets of outcomes for compound events and represent these in various ways. Students assign probabilities to the outcomes of compound events.
- Design and conduct experiments or simulations for combined events using digital tools.
Sequencing the Material
The achievement standard above can be simply grouped for sanity into the following categories to be taught in a suitable sequence. The modelling tasks are quicker and can be assessed as a second assessment item in a term.
Number and Index Laws
Functions
Modelling with Linear Equations and Quadratics
Measurement
Modelling with Proportions
Geometry and Algorithms
Probability
Statistics
A Time Breakdown of Material
To see how the material can be broken down into individual lessons, see 9 Maths Lesson Material