# AS 1.7 Triangles Home AS91032

### For Teachers

* Be familiar with the Achievement Standard 1.7 #91032 (link to NZQA)

* Assessment resources on TKI 1.7 Av2 (Word) | 1.7 Bv2 | 1.7 C

* Link to NZQA resources with worked examples and explanation 1.7 B

* NZQA Clarifications page

* Check the latest comments on the NZmaths forum (login required)

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

* AS 1.7 section on Nayland Web site updated: July 2013

AS 1.7 Triangles AS91032 (3 credit internally assessed)

 AS 1.7 Apply right-angled triangles in solving measurement problems basically involves making some practical measurements then using Pythagoras & Trigonometry to solve problems Useful Homework Book:

### Possible Lesson Sequence for 1.7 Probability Methods AS91267

1. Basic

Pythagoras

Applications of Pythagoras

Properties of triangles Trig introduction

Trig: finding side lengths

Trig: finding angles Applications

3D Applications A

3D Applications B

Vectors + - × ÷<

Vectors & Bearings

Grid references

Revision

TEST

### Overview

Using pythagoras in 2 and 3 dimensions.
Using trigonometry in 2 and 3 dimension

- Use trigonometric ratios and Pythagoras’ Theorem in two and three dimensions.
- Recognise when shapes are similar and use proportional reasoning to find an unknown length.
- Select and use appropriate metric units for length and area.
- Measure at a level of precision appropriate to the task.

For this standard students need to take their own measurements to solve problems.

###### AS 1.7 involves Pythagoras and trigonometry involve RIGHT angle triangles.
 Trigonometry is used on a daily basis in the workplace.  Since trigonometry means "triangle measure", any profession that deals with measurement deals with trigonometry as well.  Builders, construction workers and engineers, for example, must possess a thorough understanding of trigonometry.
 Pythagoras involves the 3 SIDES of a right angle triangle                a2 + b2 = c2 Trigonometry involves 2 sides & 1 ANGLE in a right angle triangle              SOH CAH TOA Un