## MWB AS 1.6 Geometric Reasoning Workbook

**written for NCEA Level 1 students**

**Author : Wiesje Geldof**

**Total of 4 Credits -****Externally Assessed**The Sigma Workbook **'AS 1.6 Geometric Reasoning'** is a write-on student workbook covering the mathematics students must understand to gain *Achieved*, *Merit*, or *Excellence* in the externally assessed Achievement Standard 1.6 – *'Apply geometric reasoning in solving problems'* (AS 91031).

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 is an **Achievement Standard Test**. Candidates should use this to evaluate their strengths and weaknesses before the external 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 complete the resource.

**Topics Covered in this Workbook Include** :

**Geometric Vocabulary****Basic Angle Rules****Bearings****Quadrilaterals****Angles in Polygons****Angles in Circles****Proofs and Explanations****Similar Shapes****Recognising Similar Triangles****Investigating Triangles****The Rule of Pythagoras****Pythagorean Triples****Labelling and Measuring****The Ratio Triangle****Basics of Trigonometry****Applications of Trigonometry****Maps and Bearings****Areas of Regular Polygons****Using Geometric Reasoning**

The Sigma Workbook **'AS 1.6 Geometric Reasoning'** is best bought before the standard is taught at school and used throughout the topic as a classroom and homework resource. Alternatively, the workbook would make an excellent independent study resource in the lead-up to the external assessment of Achievement Standard 1.6.

Once completed, **'AS 1.6 Geometric Reasoning'** 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.