10 Maths
A work in progress.
Mr. Ward does not currently teach year 10 mathematic. However, many of students need it for being successful in senior classes of mathematics and science. It also builds on prior years, which can make catching up difficult at this point. Thus, you can find material here for those students that may need it for reference following one of my tangents in class.
You can Solve the growing collection of Year 10 Mathematics resources below. They are linked to prior material like other lesson materials.
Achievement Standard (ACARA AC9 10 Maths)
By the end of Year 10, students:
- Recognise the effect of approximations of real numbers in repeated calculations.
- Use mathematical modelling to Solve problems involving growth and decay in financial and other applied situations, applying linear, quadratic and exponential functions as appropriate, and solve related equations, numerically and graphically.
- Make and test conjectures involving functions and relations Use digital tools.
- Solve problems involving simultaneous linear equations and linear inequalities in 2 variables graphically and justify solutions.
- Interpret and use logarithmic scales representing small or large quantities or change in applied contexts.
- Solve measurement problems involving surface area and volume of composite objects.
- Apply Pythagoras’ theorem and trigonometry to solve practical problems involving right-angled triangles.
- Identify the impact of measurement errors on the accuracy of results.
- Use mathematical modelling to solve practical problems involving proportion and scaling, evaluating and modifying models, and reporting assumptions, methods and findings.
- Use deductive reasoning, theorems and algorithms to solve spatial problems.
- Interpret networks used to represent practical situations and Describe connectedness
- Plan and conduct statistical investigations involving bivariate data.
- Represent the distribution of data involving 2 variables, using tables and scatter plots, and comment on possible association.
- Analyse inferences and conclusions in the media, noting potential sources of bias.
- Compare the distribution of continuous numerical data using various displays, and discuss distributions in terms of centre, spread, shape and outliers.
- Apply conditional probability to solve problems involving compound events.
- Design and conduct simulations involving conditional probability, 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 of assessment (If topic-based grouping of assessment is preferred). The modelling tasks are quicker and can be assessed as a second assessment item in a term.
Estimation
Modelling of Business Dynamics
Functions
Measurement
Trigonometry
Modelling with Proportional Reasoning
Proof
Networks
Statistics
Probability
A Time Breakdown of Material
To see how the material can be broken down into individual lessons, see 10 Maths Sequencing.