1. Situation You will normally be given a description of what’s going on, for example, a pattern that you can continue.

2. Generate data You have to continue the pattern.

3. Organise the data You usually put your data into a table.

4. Analyse the data Determine how the pattern is growing. If it's a sequence, you should begin by looking at first differences. If that doesn’t work, compare the numbers to sequences you know. You may have to manipulate the numbers (add 1 or 2 to them, subtract 1 or 2, double them, etc.)

5. Find a rule / formula / expression for the nth term. Use your knowledge of sequences to find a formula (a common first difference is the coefficient in a linear sequence, etc.)

6. Test the rule Use the pattern and the rule to get the same value for the next term.

7. Prove the rule Use algebra or some other means to show the rule works for all values of n.

8. Extension Think of ways you can explore further.

## Mangahigh!

Investigations 8 Easy Steps1. Situation

You will normally be given a description of what’s going on, for example, a pattern that you can continue.

2. Generate data

You have to continue the pattern.

3. Organise the data

You usually put your data into a table.

4. Analyse the data

Determine how the pattern is growing. If it's a sequence, you should begin by looking at first differences. If that doesn’t work, compare the numbers to sequences you know. You may have to manipulate the numbers (add 1 or 2 to them, subtract 1 or 2, double them, etc.)

5. Find a rule / formula / expression for the nth term.

Use your knowledge of sequences to find a formula (a common first difference is the coefficient in a linear sequence, etc.)

6. Test the rule

Use the pattern and the rule to get the same value for the next term.

7. Prove the rule

Use algebra or some other means to show the rule works for all values of n.

8. Extension

Think of ways you can explore further.

## G6 Investigations Booklet

GSP RegistrationLicense Name:United World College of SEA - East## Algebra 2 Test Review

## Refer to these solutions only after completing the assignment.

## More Practise

## Problem 9 does not have the correct solution listed. See Solutions for explanation.

## Solutions

## Sample whatever you'd like. Pages 7 and 8 are particularly good.

## Give this problem a go if you dare!

## Seven Dwarfs

## Challenge

Authorization Code:EW29JU-H19F9F-ER5XE1-Z310PM## GSP Registration

License Name: United World College of SE AsiaAuthorization Code: KNP3ZX-V1VA3F-D9WZYD-BQ30W1