# MWB AS 1.6 Geometric Reasoning Workbook

 ISBN 978-1-877567-57-5 Curriculum Level Full coverage of NCEA Achievement Standard 1.6 Recommended For Year 11 Number of Pages 64 Edition First

# MWB AS 1.6 Geometric Reasoning Workbook

#### 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 AchievedMerit, 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
• 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.

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