# Year 12 Internals

## Sequences and Series

Basic Arithmetic     Basic Geometric

Practice 1     Practice 2     Practice 3

Practice 4     Practice 5     Practice 6

Some core skills practice, then sheets mixing Achieved, Merit and Excellence in contexts.

## Trigonometry

Sine Rule     Cosine Rule     Area and Geometry     Formula Sheet

Achieved 1     Achieved 2     Achieved 3

Achieved+ 1     Achieved+ 2     Achieved+ 3

Merit+ 1     Merit+ 2     Merit+ 3

Some practice worksheets, increasing in difficulty from one-step through to Excellence. Almost all possible styles of NCEA question at those levels is included, except circles.

Circles 1     Circles 2     Circles 3

These three focus on circles (arc lengths and sector areas) from Achieved through to Excellence.

## Simultaneous Equations

Scope of the Topic

Notes on the techniques required for solving simultaneous equations, and in particular non-linear simultaneous equations of lines intersecting circles, hyperbolas and parabolas.

Practice 1     Practice 2     Practice 3

Practice 4     Practice 5     Practice 6

Some practice exercises at each grade level. One page, plus a page of worked answers.

A booklet written for this topic. Many of the exercises in this are in context, which is useful practice because the assessment itself will be. Also useful is that the answers are worked out in full.

## Co-ordinate Geometry

This topic is the geometry of straight lines.

Achieved 1     Achieved 2     Achieved 3

Achieved 4     Achieved 5     Achieved 6

Each is one page of questions, plus one of worked answers. Each represents the Achieved and sometimes lower Merit skills.

Merit+ 1     Merit+ 2     Merit+ 3

Merit+ 4     Merit+ 5     Merit+ 6

Each is one page of questions, plus one of worked answers. Each starts at the normal run of Merit and moves into the Excellence range.

Trial 1 is a bit short, being intended to give an overall feel of what an assessment might look like.

Trial 2 is for practice organising your work in a coherent way when there are a lot of points.

Trial 3 has a very hard Excellence part.

## Make an Inference using Statistical Methods

Scope of the Topic

Notes on the terminology and skills required. You should start learning this material early in the unit. Trying to cram it all in just towards the end is unlikely to be successful, as there is too much.

Checklist     Marking Schedule

A guide to help ensure you do not miss any part of any analysis and a marking schedule, of the sort that your teacher might use, to indicate what each grade level requires.

Practice 1     Practice 2     Practice 3

Some data sets to work with.

## Graphical Methods

### (non-linear graphs)

Booklet

A booklet covering all of what we will be doing in class, including the exercises and answers.

Graphing on the Graphical Calculator

Students should be comfortable with graphing all the relevant graphs, as this allows them to check their answers very quickly.

Practice 1     Practice 2     Practice 3

These are old-fashioned questions, but as St John's doesn't examine this topic they are for anyone else who might like them. These worksheets completely exclude trig graphs (sine, cosine, tangent).

An indication of the way the questions will be posed in a context, rather than given as isolated examples. For best results students need to understand that they must explain all their steps, and actively suggest alternatives, rather than just write bare answers.

This randomises graphs to practice sketching and writing equations. There is also some work on piecewise and domain limited functions.

## Networks

Scope of the Topic

Notes on the techniques required for solving networks to Achieved at Level 2.

Practice 1     Practice 2     Practice 3

Some worksheets at Achieved and Merit. One page, plus a page of worked answers.