## MWB AS 1.4 Linear Algebra Workbook

**written for NCEA Level 1 students**

**Author : Wiesje Geldof**

**Total of 3 Credits -**

**Internally Assessed**

The Sigma Workbook **'AS 1.4 - Linear Algebra'** is a write-on student workbook covering the mathematics students must understand to gain *Achieved*, *Merit*, or *Excellence *in the internally assessed Achievement Standard 1.4 – *‘Apply linear algebra in solving problems’* (AS 91029).

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 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 complete the resource.

**Topics Covered in this Workbook Include** :

**Solving Linear Equations****Solving Inequations****Forming an Equation****Equations for Lines****Linear Problems****Using Formulas****Plotting a Graph****Plotting Lines****Interpreting Graphs****Features of Line Graphs****Writing an Equation for a Line****Parallel and Crossing Lines****Solving Simultaneous Equations****Linear Patterns****Solving Linear Problems****Inequations with Two Variables****Linear programming**

The Sigma Workbook **'AS 1.4 Linear Algebra'** 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 1.4.

Once completed, **'AS 1.4 Linear Algebra' **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.