Embedded Files
This topic is assessed with an Internal Achievement Standard.
We will be spending 4 school weeks on this and complete the assessment during Week 4 of Term 2.
Trigonometry Achievement Standard Document
Formula Sheet For the assessment you can use the standard Formula Sheet.
Week 1: Introduction to Trigonometry
Week 1: Introduction to Trigonometry
Work outline: Introduction to trigonometry
Resources:
Notes: Introduction to trigonometry
Recorded Lesson:
Link showing graphing of sine and cosine from the unit circle. Select sine, cosine or both and start the animation to see the curves drawn as the point rotates around the unit circle.
Video explaining the 3 trig graphs. This video includes the tan graph.
Video explaining the special triangles. The special triangles are given on the formula sheet and this video explains how to use them to find exact values for the 3 trig functions and multiples of 30, 45 and 60 degrees.
Desmos is an online graphing program. Use this graphing package to enter equations of the following form and play with changing the values of A, B, C and D. Make sure you understand how each value changes the standard trig graph.
For the general trig function y=AsinB(x+C)+D
A changes the amplitude
B changes the period
C translates horizontally
D translates vertically
This link for Desmos has a sliding bar to allow you to see the effect of changing the amplitude or the period of the cosine graph. You can change the equation to see the same thing for the sine graph.
Worksheet:
Symmetry and simple trig equations. The solutions for these questions are on the front of the worksheet.
Week 1: Trig Equations and Trig Models (to be completed by Friday 3May)
Week 1: Trig Equations and Trig Models (to be completed by Friday 3May)
Work Outline: Trig equations and Trig models.
Resources:
Recorded lesson:
General solutions to trig equations blank graphs to use yourself.
Notes: Interpreting Trig Models.
Recorded Lesson:
Notes: Friday 17 April
Assignments:
Solving Trig Equations. Solutions. (The first page has the solutions only and the next pages have the full working for each questions.
Week 2: Creating Trig Models (to be completed by Friday 10 May.)
Week 2: Creating Trig Models (to be completed by Friday 10 May.)
Work Outline: Creating Trig Models
Resources:
Recorded lesson: Interpreting trig models.(2018)
Notes: Creating trig models
Recorded lesson:
Example of creating a trig model. Question: James and a February day. Worked solution: James and a February day.
Example of creating a trig model. Question: Awarua Inlet. Worked solution: Awarua Inlet.
Questions from New Delta: For those using the old textbook.
Assignments:
Creating Trig Models. Solutions Question 1(i) and 2(i) were on the worksheet from last week. There is now a second part to each of these questions.
Week 3 Preparation for the Internal assessment. (This needs to be completed by Monday 17 May.)
Week 3 Preparation for the Internal assessment. (This needs to be completed by Monday 17 May.)
Work Outline: Review of Topic and Preparation for Internal assessment.
Resources:
Sample assessment task: Ferris Wheel. Note that when you open this document the π in the equations is sometimes printing as p, if you download the document it shows correctly.
Solutions Please note that my solution is not the only way to solve this problem. There are other valid models and different ways of getting the solutions. Whatever your method the final solutions will be the same.
Second sample assessment task: Surfing Sally.
Solutions, as above there will be other valid ways to solve this problem and the solutions can be affected by rounding.
Recorded lesson: Monday 29 April 2019.
Achievement Standard document: Make sure you understand what is required for each level of achievement.
Formula Sheet: You will be given a copy of this for use during your assessment, make sure you are familiar with the information it contains that you may wish to refer to.
Exemplars of student work . These are provided by NZQA to give guidance about what evidence is required for the different levels of achievement. The exemplars for Low Excellence, High Achieved and Low Achieved are for the Ferris Wheel task. The other exemplars are for a different task which is not related to the modelling that we are using for the assessment of this standard.
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