# Algebraic Procedures Workbook (NCEA Level 1)

### CODE: SIGMWB1.2

**Written for NCEA Level 1 students**

**Author : Wiesje Geldof**

**Total of 4 Credits - Ex****ternally Assessed**

The Sigma Workbook **'AS 1.2 - Algebraic Procedures' **is a write-on student workbook covering the mathematics students must understand to gain *Achieved*, *Merit*, or *Excellence *in the externally assessed Mathematics NCEA Achievement Standard 1.2 – *‘Apply algebraic procedures in solving problems’* (AS 91027).

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** :

**Substitution****Simplifying Expressions****Expanding and Factorising****Working with Fractions****Solving Equations****Solving Linear Equations****Solving Inequations****Writing an Equation****Writing a Formula****Rearranging a Formula****Simultaneous Equations****Expanding Double Brackets****Factorising Quadratics****Solving Quadratic Equations****Solving Quadratic Inequations****Problems Involving Quadratics****Mixed Problems**

The Sigma Workbook **'AS 1.2 Algebraic Procedures' **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 external assessment of Achievement Standard 1.2.

Once completed, **'AS 1.2 Algebraic Procedures'** 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.