**Written for NCEA Level 1 2024 Curriculum**

**Authors : Wiesje Geldof, Katy Thorne**

**Total of 5 Credits - ****Externally Assessed**

Sigma Mathematics Workbook **'AS 1.4 Mathematical Reasoning’** is a write-on student resource.

This book contains notes and practice questions on mathematical methods across the Number, Measurement, Algebra and Geometry strands which comprise 1.4 Mathematical Reasoning.

The assessment for this standard is an external exam. It is unlikely to be able to incorporate all the possible methods that are part of this standard and a combination of methods linked across number, algebra, measurement, and geometry and space may be required in the question. Where a specific formula is required, it should be provided through a formula sheet or the wording of the question. Working out must be shown, correct answers only will not be accepted as this standard is assessing mathematical reasoning skills.

Students are able to and encouraged to use a calculator in their learning and assessment for this standard. A graphing calculator of the type on the approved NZQA list is an advantage for this exam. Instructions in this book relate to the Casio fx-9750 GIII.

In this workbook students will find **clear explanations** and **detailed worked examples** showing what is required at each step of the mathematical methods cycle. At the end of the workbook there are Practice Exam Questions.

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** :

**Number and Measurement **
**Geometry and Space **
**Algebra**
**Practice Exam Questions**

The Sigma Workbook **'AS 1.4 Mathematical 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 1.4.

Once completed,** 'AS 1.4 Mathematical 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.