## MWB AS 1.7 Right-Angled Triangles Workbook

**written for NCEA Level 1 students**

**Author : Wiesje Geldof**

**Total of 3 Credits -**

**Internally Assessed**

Sigma Maths Workbook **'AS 1.7 Right-Angled Triangles’** is a write-on student resource covering the mathematics students must understand to gain *Achieved*, *Merit*, or *Excellence* in the internally assessed Achievement Standard 1.7 – *'Apply right-angled triangles in solving measurement problems'* (AS 91032).

In this workbook students will find **clear explanations** and **detailed worked examples** showing the step-by-step processes that will be needed to solve each type of problem, these are followed by a large number of practice **exercises **and** problems **of increasing difficulty. At the end of the workbook there are two Achievement Standard Tests. Candidates should use this to evaluate their strengths and weaknesses before the internal assessment.

A full set of **answers** is included, which acts as a guide to structuring quality answers. An abbreviated version of the Achievement Criteria and Explanatory Notes of the Achievement Standard itself completes the resource.

**Topics Covered in this Workbook Include** :

**Similar Shapes****Recognising Similar Triangles****Outdoor Assignments****Investigating Triangles****The Rule of Pythagoras****Labeling and Measuring****The Ratio Triangle****Basic Trigonometry****Applications of Trigonometry****Trigonometry in 3D Shapes****3D Applications****Accuracy of Measurements****3D Modelling****Two Achievement Standard 1.7 Tests**

The Sigma Workbook **'AS 1.7 Right-Angled Triangles'** is best bought before the standard is taught at school and used throughout this time as a classroom and homework resource. Alternatively, the workbook would make an excellent independent study resource in the lead-up to the internal assessment of Achievement Standard 1.7.

Once completed, **'AS 1.7 Right-Angled Triangles'** provides a useful set of revision notes at assessment time. It can be kept as a reference book if students intend taking a Year 12 mathematics course.