This work covers skills you will need throughout the year and you can return to this at any time.)
Continue with this work through until Friday16th February.
Work Outline: Algebra Skills Review.
Resources:
Algebra Skills Booklet. (This is the first chapter from the old Delta textbook)
Work outline: Working with Surds
Resources:
Notes: Working with Surds
Notes with Audio: Number Systems and Surds
Notes with Audio: Quadratics equations and surds.
YouTube Playlist: Videos 1-5 cover this week's work, click here.
Chapter 28 (Old Delta) Use this if you do not have access to a textbook yet.
Assignments:
Assignment: Manipulating Real Numbers Assignment solutions.
Work outline: Introduction to Complex Numbers
Resources:
Notes with Audio: Introduction to Complex Numbers
John and Betty's Journey Into Complex Numbers: This is best watched in presentation mode. Click the Present button on the top right of the screen.
YouTube Playlist. Videos 6-11 cover this week's work.
Chapter 30 (Old Delta) Use this if you do not yet have access to a textbook.
Assignments:
Work outline: Complex Numbers in Polar Form
Resources:
Notes with Audio: Complex numbers in polar form.
Notes with Audio: Multiplying and dividing in polar form.
YouTube Playlist: Videos 12,22-24 cover this week's work, click here.
Chapter 32 (Old Delta) Use this if you do not have access to a textbook yet.
Assignments:
Assignment: Manipulating complex numbers in polar form. Solutions
Work outline: Complex Roots and Complex Loci
Resources:
Notes with Audio: Complex roots and complex loci.
Worked example: Finding Complex Roots.
YouTube Playlist: Video 25 covers complex roots, click here.
Video example of finding complex roots. Click here.
Complex Loci (New Delta): Use this if you are using the old Delta textbook.
Complex Loci Video
Assignments:
Assignment: Finding Complex Roots Solutions
Assignment: Complex Loci Solutions
Work outline: Quadratic and polynomial equations.
Resources:
Notes with Audio: Quadratic equations.
Notes with Audio: Polynomial equations.
PowerPoint on Polynomial Division.
YouTube Playlist: Videos 13-21 cover this week's work, click here.
Link to website explaining roots of quadratic equations. Scroll down the page to the table.
Quadratics(Old Delta): Use this if you are using the new Delta textbook..
Assignments:
Assignment: Quadratic and polynomial equations. Solutions. For some of the questions I have given 2 different methods of solving the problem.
Work outline: Non-linear equations.
Resources:
Notes: Non-linear equations
Notes with Audio: Non-linear equations
Log and Power Equations(Old Delta Textbook): Use this if you are using the new Delta textbook..
Assignments:
Be aware that for many of the questions my method of solution is not the only way to solve the problem.
Work outline: Review of Standard.
Sample assessment task for 91577 Apply the algebra of complex numbers to solve problems. Solutions
Use the revision resources below to help prepare for a practice assessment.
See also Education Perfect : NCEA Level 3: Complex Numbers: Exam Questions
Past exam papers and assessment schedules:
Useful Websites:
John and Betty's Journey Into Complex Numbers This is a useful revision of complex numbers.
InfinityPlusOne Playlist of 24 videos.
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.
Nulake Level 3 EAS Workbook