Teaching about super in Year 10 Mathematics
Introduction
The Australian Curriculum v.9 for Year 10 Mathematics provides opportunities to use superannuation as a context for applying mathematics to real-world situations. Check out the resources we’ve curated to help you teach about growth in the context of superannuation. Using these resources will make learning meaningful and help equip your students for their adult lives and long-term financial wellbeing.
Alignment of assessment to the achievement standard
The curated activities give you multiple opportunities to assess student achievement in relation to the following aspects of the Year 10 achievement standard:
- 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.1
- represent the distribution of data involving 2 variables, using tables and scatter plots, and comment on possible association.2
- compare the distribution of continuous numerical data, using various displays, and discuss distributions in terms of centre, spread, shape and outliers.3
Each of the assessment tasks listed in the table below require students to use mathematical modelling to solve a real-world problem. You can also use worksheets included in the associated activity to assess students’ progress and development of fluency and problem solving.
List of assessments and alignment to the standard
|
Assessment opportunities |
Numbered aspect of the achievement standard |
|---|---|
|
Super calculations from simple to compound – Worksheet |
1 |
|
Growing your super – Investigation |
1 |
| Maximising your super – Investigation | 1 |
| Distribution of income and super in Australia – Investigation | 2, 3 |
Content descriptions
The curated activities enable students to make connections between areas of mathematics (algebra and statistics) and apply mathematics to model real-world situations. The focus of curated activities is on teaching students to:
- Recognise the connection between algebraic and graphical representations of exponential relations and solve related exponential equations, using digital tools where appropriate. (AC9M10A03)
- Use mathematical modelling to solve applied problems involving growth and decay, including financial contexts; formulate problems, choosing to apply linear, quadratic or exponential models; interpret solutions in terms of the situation; evaluate and modify models as necessary and report assumptions, methods and findings. (AC9M10A04)
- Compare data distributions for continuous numerical variables using appropriate data displays including boxplots; discuss the shapes of these distributions in terms of centre, spread, shape and outliers in the context of the data. (AC9M10ST02)
- Construct scatterplots and comment on the association between the 2 numerical variables in terms of strength, direction and linearity. (AC9M10ST03)
Check out the suggested sequence of activities that you can use in your classroom to teach mathematical modelling in the context of taxation.