Year 10, Unit 12 – investigating parabolas
This 14-lesson unit addresses content from the focus areas of Algebraic techniques A, B and C, Non-linear relationships A, B and C and Equations B and C.
Syllabus
Syllabus outcomes and content descriptors from Mathematics K–10 Syllabus (2022) © NSW Education Standards Authority (NESA) for and on behalf of the Crown in right of the State of New South Wales, 2024.
The lessons and sequences in this program of learning are designed to allow students to explore expanding, factorising and solving quadratics, as well as graphing parabolas.
Introduction
Investigating parabolas – unit (DOCX 353 KB)
Lesson 1 – what’s that graph
Lesson 2 – features of a parabola
Lesson 3 – modelling quadratics
Lesson 4 – area for expansion
Lesson 5 – difference of two squares
Lesson 6 – parabola marbleslides
Parabola marbleslides (DOCX 337 KB)
Lesson 7 – factorising monic quadratics
Lesson 8 – factorising non-monics
Lesson 9 – solving quadratic equations
Lesson 10 – sketching parabolas
Lesson 11 – completing the square
Lesson 12 – can't factorise, no problem
Lesson 13 – discriminating with the discriminant
- Discriminating with the discriminant (DOCX 1 MB)
- Discriminating with the discriminant – slide deck (PPTX 2.4 MB)