Year 9 – Unit 6 – constant rates of change
This Year 9, 14-lesson unit designed to allow students to explore the representations of linear relationships and how they are used to model situations and solve problems.
It addresses content from the focus areas of Linear relationships A, Linear relationships B and Equations A, as well as Path focus areas Varation and rates of change A, Equations C and Linear Relationships C.
The Mathematics K–10 syllabus (2023) is to be taught in Years 3 to 10 from 2024.
Detailed implementation information including key features and resources is available on the Mathematics syllabus development page (NESA).
Introduction
Constant rates of change (DOCX 6.3 MB)
Lesson 1 – journey to linearity
Journey to linearity (DOCX 7.7 MB)
Lesson 2 – money matters
Lesson 3 – slope-a-palooza
Lesson 4 – how efficient is my car?
Lesson 5 – holiday money
Lesson 6 – yubercept
Lesson 7 – what’s the line?
Lesson 8 – line it up
Lesson 9 – cutting through lines
Lesson 10 – graphing general mayhem
Lesson 11 – it’s getting hot in here
Lesson 12 – tortoise and the hare
Tortoise and the hare (DOCX 7.8 MB)
Lesson 13 – simultaneous shopping
Lesson 14 – sums and differences
Syllabus outcomes and content descriptors from Mathematics K–10 Syllabus © NSW Education Standards Authority (NESA) for and on behalf of the Crown in right of the State of New South Wales, 2023.