We will spend a total of 7 weeks on this topic.
Differentiation: Achievement Standard Document
Work Outline: Functions.
Resources:
Notes: Functions.
Recorded Lesson 6 May 2019
Assignments:
Working with Functions. The solutions are included with the worksheet.
Work outline: Concepts in Differentiation.
Resources:
Notes: Concepts in differentiation.
Recorded lesson. Monday 13 May 2019.
Recorded lessons 2018. Limits and Continuity and Differentiation from first Principles.
(This work needs to be completed by Friday 7June)
Work outline: Differentiating Functions.
Resources:
Notes: Differentiating Functions
Recorded lesson. 19 May 2020.
Recorded lesson. Monday 20 May 2019.
Recorded lesson 2018.
YouTube playlist from infinityplusone. Watch the first 5 videos this week.
The power rule game: A match-up activity. This activity is designed to help you with the rearrangements that are needed before differentiating some functions. Print off the first page, cut it up and match the different forms of the functions together. The second page gives you the answers.
(This work needs to be completed by Friday 14 June)
Work Outline: Differentiating Products and Quotients.
Resources:
Notes: Products and quotients.
Recorded lesson: Products and quotients.
Recorded lesson 26 May 2020
YouTube playlist from infinityplusone. Watch videos 6 and 7 this week.
Assignments:
(This work need to be completed by Friday 21 June.)
Work Outline: Differentiating Trig Functions and Finding Higher Derivatives.
Resources:
Notes: 2 June 2020
Notes: Finding the Trig Derivatives. This shows where the derivative for each trig function comes from.
Recorded lesson: 2 June 2020
Recorded Lesson: Trig functions and higher derivatives.
YouTube playlist from infinityplusone. Watch videos 8, 9, 10 and 12 this week.
This work needs to be completed by Friday 28 June.
Work Outline: Curve Properties, Optimisation and Tangents.
Resources:
Recorded lesson: 9 June 2020
Recorded Lesson: Monday 10 June 2019.
Recorded lesson 2018.
Worked examples: Optimisation
YouTube playlist from infinityplusone. Videos 11, 13, 15 and 16 from the playlist cover this week’s work. Note: Video 14 also covers this work but contains some things that I consider to be misleading or incorrect.
Assignments and Worksheets:
This work needs to be completed by Friday 5 July.
Work Outline: Parametric and Implicit Differentiation and Rates of Change.
Resources:
Notes: Parametric and Implicit Differentiation and Rates of Change.
Recorded lesson: 16 June 2020
Recorded Lesson: Monday 17 June 2019. Parametric and Implicit Differentiation. Rates of Change.
Recorded lesson 2018: Parametric and implicit differentiation.
Recorded Lesson 2018: Rates of change.
YouTube playlist from infinityplusone. Video 18 is on Rates of Change problems.
Assignments:
Worksheet: Parametric Differentiation. Solutions.
We will complete a practice assessment in the first week of Term 3 so you will need to use the holidays to revise and prepare for this.
Sample assessment task. Solutions.
Past exam papers and assessment schedules:
Useful Websites:
YouTube playlist from infinityplusone.
Learn Coach, a website with videos to watch. You need to register to be able to watch these videos.
Studytime. This website has downloadable checklists and if you register you can access Walkthrough Guides. This is a free site.
StudyIt, a website with links to a variety of resources.