Year 10 Mathematics Advanced 

TERM 4, 2026

We will begin Term 4 with Topic 11 – Functions and other Graphs. Students will define relations and functions, and use function notation. Finding the domain and range of a function and then graphing functions will follow. Students will complete the topic by graphing regions corresponding to linear inequalities in one and 2 variables.

In Topic 12 – Polynomials, students will build on their linear and non-linear algebraic and graphing by defining and operating with polynomials. Dividing polynomials will also be looked at.

From here, students will Apply the factor and remainder theorems to solve problems, including factorising polynomials and solving equations to find the zeros of a polynomial. Students will finish the topic by using what they have learned in the topic to graph polynomials.

In Topic 13 – Logarithms, students will Examine logarithms both numerically and graphically, including representing expressions given in index form as logarithms and vice versa. Students will then Establish and apply the laws of logarithms to solve problems. Establishing and applying the laws of logarithms to solve problems and explaining the usefulness of logarithmic scales will also be looked at. 

Finally, in Topic 14 A, B and C – Properties of Geometrical Figures, students will identify and describe the properties of similar figures, solve problems using ratio and scale factors in similar figures and identify and explain congruence. They will then develop and use the conditions for congruent triangles, the minimum conditions for triangles to be similar and establish and apply properties of similar shapes and solids.

At the end of the topic, students will then construct formal proofs involving congruent and similar triangles, and Apply logical reasoning to proofs involving plane shapes.

During Term 4, students will complete Task 4-Yearly Examination which contributes to 40% of the students’ overall assessment for the year.