Functions, Polynomials and Other Graphs
Functions, polynomials, cubics, circles, hyperbolas and transformations.
Active lessons
11
Status
Active
Lesson flow
Learn -> Guided Practice -> Independent Practice -> Mastery Quiz
How to use this unit
- Start from lesson 1 and move through the pathway in order.
- Use guided practice before attempting independent practice.
- Mastery quizzes check whether the skill is ready for review or extension.
Unit pathway
Lesson pathway
11 of 11 active
Lesson 1
10A Functions and Notation
Interpret function notation f(x) as an input-output rule, evaluate functions, and identify domain and range.
Lesson 2
10B Introducing Polynomials
Identify polynomials and describe them by degree, leading coefficient, constant term and number of terms.
Lesson 3
10C Expanding and Simplifying Polynomials
Expand products of polynomials and add or subtract them by collecting like terms.
Lesson 4
10D Dividing Polynomials
Divide a polynomial by a linear factor, finding the quotient and any remainder.
Lesson 5
10E Remainder and Factor Theorem
Use the remainder theorem (remainder = P(a)) and the factor theorem.
Lesson 6
10F Factorising to Find Zeros
Factorise polynomials and read off their zeros using the factor-zero relationship.
Lesson 7
10G Graphing Cubics
Graph y = x^3 and its transformations using shifts of the parent cubic.
Lesson 8
10H Graphs of Polynomials
Relate degree to turning points and x-intercepts, and use the leading term for end behaviour.
Lesson 9
Circle Graphs
Interpret circle equations using centre, radius and intercepts.
Lesson 10
Hyperbolas
Interpret reciprocal graphs, excluded values, asymptotes and branch locations.
Lesson 11
10K Further Transformations
Apply shifts, vertical stretch and reflection to a parent function.
Part of the Online Learning Package
Unit previews stay public, while individual lessons require active online learning access.