Year 10 Mathematics in the Australian Curriculum

AC9M10N01

recognise the effect of using approximations of real numbers in repeated calculations and compare the results when using exact representations

AC9M10A01

expand, factorise and simplify expressions and solve equations algebraically, applying exponent laws involving products, quotients and powers of variables, and the distributive property

AC9M10A02

solve linear inequalities and simultaneous linear equations in 2 variables; interpret solutions graphically and communicate solutions in terms of the situation

AC9M10A03

recognise the connection between algebraic and graphical representations of exponential relations and solve related exponential equations, using digital tools where appropriate

AC9M10A04

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

AC9M10A05

experiment with functions and relations using digital tools, making and testing conjectures and generalising emerging patterns

AC9M10M01

solve problems involving the surface area and volume of composite objects using appropriate units

AC9M10M02

interpret and use logarithmic scales in applied contexts involving small and large quantities and change

AC9M10M03

solve practical problems applying Pythagoras’ theorem and trigonometry of right-angled triangles, including problems involving direction and angles of elevation and depression

AC9M10M04

identify the impact of measurement errors on the accuracy of results in practical contexts

AC9M10M05

use mathematical modelling to solve practical problems involving proportion and scaling of objects; formulate problems and interpret solutions in terms of the situation; evaluate and modify models as necessary, and report assumptions, methods and findings

AC9M10SP01

apply deductive reasoning to proofs involving shapes in the plane and use theorems to solve spatial problems

AC9M10SP02

interpret networks and network diagrams used to represent relationships in practical situations and describe connectedness

AC9M10SP03

design, test and refine solutions to spatial problems using algorithms and digital tools; communicate and justify solutions

AC9M10ST01

analyse claims, inferences and conclusions of statistical reports in the media, including ethical considerations and identification of potential sources of bias

AC9M10ST02

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

AC9M10ST03

construct scatterplots and comment on the association between the 2 numerical variables in terms of strength, direction and linearity

AC9M10ST04

construct two-way tables and discuss possible relationship between categorical variables

AC9M10ST05

plan and conduct statistical investigations of situations that involve bivariate data; evaluate and report findings with consideration of limitations of any inferences

AC9M10P01

use the language of “if ... then”, “given”, “of”, “knowing that” to describe and interpret situations involving conditional probability

AC9M10P02

design and conduct repeated chance experiments and simulations using digital tools to model conditional probability and interpret results