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# 2.4 Trig Relationships to Solve Problems AS 91259

### For Teachers

* Be familiar with the Achievement Standard 2.4 #91259 (link to NZQA)

* Check the latest information on the NZQA clarifications page as things change all the time, and the exemplars in NZQA may be out of date (as they are in this standard)

* Look over the NZQA Exemplars on AS 2.4 Trig Relationships 2.4 A & 2.4 B Note: these exemplars may not reflect the latest clarification information

* Material available on the mathstatsfacilitators web site 2.4 page

* Any further ideas / suggestions / resources/ comments / errors. Please email maxr@nayland.school.nz

* AS 2.4 section on Nayland Web site updated: Feb 2014

AS 2.4 'Apply trigonometric relationships in solving problems' is a 3 credit internally assessed topic AS 91259

Achievement Standard 2.8 Triangles continues from level 1 pythagoras & Trigonometry, with non-right angle triangles.

Several new concepts are introduced: the sine rule, cosine rule - for finding angles and side lengths, as well as the sine rule for the area of a triangle.

### Possible Lesson Sequence for AS 2.4 Trig Relation ships(AS 91259)

Formal Trigonometry Starters | Web version

1. Introduction, Overview & Research Question (Achievement Criteria) Pythyagoras finding long side
2. Pythagoras finding short side - emphasis on working
3. Trigonometry: Naming sides, ration, reminder of Sin Cos Tan
4. Trigonometry: Practice
5. Trigonometry: Practice
6. Trigonometry: Finding Angles
7. Trigonometry: Applications
8. Sine rule for Area
9. Sine rule for Side
10. Sine rule for Angle
11. Sine Applications
12. Cosine rule for Side
13. Cosine rule for Angle
14. Cosine Applications
15. Mixed Applications & Revision
16. Mixed Applications & Revision
17. Practice Assessment 2
18. Practice Assessment review
19. Assessment