Mathematics Extension 1 11–12 units and assessments (2024)
Sample units and assessments to support teachers implementing the Mathematics Extension 1 11–12 Syllabus (2024).
Syllabus
Syllabus outcomes and content descriptors from Mathematics Extension 1 11–12 (2024) © NSW Education Standards Authority (NESA) for and on behalf of the Crown in right of the State of New South Wales, 2025.
Year 11
These units and assessments for Year 11 represent ‘one way’ of designing teaching and learning experiences.
A 9-lesson unit for Year 11 with resources.
This program of learning addresses content from the focus area of Permutations and combinations. The lessons and sequences in this program of learning are designed to allow students to build understanding of permutations and combinations through a range of Working mathematically skills.
Introduction
Permutations and combinations (DOCX 7.5 MB)
Lesson 1 – multiplication principle
Lesson 2 – factorials
Lesson 3 – introduction to permutations
Lesson 4 – permutations with restrictions
- Permutations with restrictions (DOCX 5.9 MB)
- Permutations with restrictions – slide deck (PPTX 2.8 MB)
Lesson 5 – permutations with repetition
Lesson 6 – circular permutations
Lesson 7 – introduction to combinations
Lesson 8 – combinations with restrictions
- Combinations with restrictions (DOCX 5.9 MB)
- Combinations with restrictions – slide deck (PPTX 1.4 MB)
Lesson 9 – permutations and combinations
This program of learning addresses content from the focus area of The binomial theorem. The lessons and sequences in this program of learning are designed to allow students to explore using the binomial theorem to expand binomial expressions by selecting and applying appropriate algebraic techniques and prove identities involving binomial coefficients by substituting into algebraic expressions, comparing coefficients or applying a combinatorial argument.
Introduction
The binomial theorem (DOCX 7.5 MB)
Lesson 1 – Pascal's triangle
Lesson 2 – combinatorial patterns
Lesson 3 – the binomial theorem
Lesson 4 – finding coefficients and the constant term
- Finding coefficients and the constant term (DOCX 8.2 MB)
- Finding coefficients and the constant term – slide deck (PPTX 1.7 MB)
Lesson 5 – comparing coefficients
Lesson 6 – further proofs
This program of learning addresses content from the focus area of Further work with functions. The lessons and sequences in this program of learning are designed to allow students to explore methods for solving cubic inequalities, absolute value inequalities and inequalities involving rational expressions with variables in the denominator.