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Number Sequences - Square, Cube and Fibonacci

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An Arithmetic Sequence is made by adding the same value each time.

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The goal of this lesson is to use t-charts to identify and extend patterns.

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Want to do some practice questions now? Visit http://mathsonline.com.au to access a bank of questions. You can also access the maths lesson summary and worksheet. If you have any questions just email us info@mathsonline.com.au PH: 1300 88 20 45 Online math program online math tutor math tuition

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Identifying Geometric Patterns - Grade 6 Patterning and Algebra

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A review of how to identify a pattern core in a repeating pattern.

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Patterns - Grade 3 Common Core Standards

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Patterns - Grade 3 Common Core Standards

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Anchor Chart

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Trains - Growing & Shrinking

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Learn as Biff learns how to determine the missing numbers in a number sequence.

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Steps, Core, Pattern Rule

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Learn how to figure number patterns with this fun balloon pop math game.

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Tooth Pick Squares

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Geometric Patterning with Toothpicks Part 1 - Grade 6 Math

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http://tapintoteenminds.com Geometric Patterning with Toothpicks, Part 1. Grade 6 Patterning and Algebra.

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What is Algebra?

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Algebra Basics: What Is Algebra? - Math Antics

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Algebra Basics: Solving Basic Equations Part 1 - Math Antics

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Math is Fun

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A Puzzle

What is the missing number?

OK, the answer is 6, right? Because 6 − 2 = 4. Easy stuff.

Well, in Algebra we don't use blank boxes, we use a letter (usually an x or y, but any letter is fine). So we write:

It is really that simple. The letter (in this case an x) just means "we don't know this yet", and is often called the unknown or the variable.

And when we solve it we write:

Why Use a Letter?

Because:

it is easier to write "x" than drawing empty boxes (and easier to say "x" than "the empty box").

if there are several empty boxes (several "unknowns") we can use a different letter for each one.

So x is simply better than having an empty box. We aren't trying to make words with it!

And it doesn't have to be x, it could be y or w ... or any letter or symbol we like.

How to Solve

Algebra is just like a puzzle where we start with something like "x − 2 = 4" and we want to end up with something like "x = 6".

But instead of saying " obviously x=6", use this neat step-by-step approach:

Work out what to remove to get "x = ..."

Remove it by doing the opposite (adding is the opposite of subtracting)

Do that to both sides

Here is an example:

Solved!
Why did we add 2 to both sides?

To "keep the balance"...

In Balance

Add 2 to Left Side

Out of Balance!

Add 2 to Right Side Also

In Balance Again

Just remember this:

To keep the balance, what we do to one side of the "="
we should also do to the other side!

See this in action at the Algebra Balance Animation.
Another Puzzle
Solve this one:

What we want is an answer like "x = ...",
but the+5 is in the way of that!
We can cancel out the+5 with a −5 (because 5−5=0)

Have a Try Yourself

Now practice on this Simple Algebra Worksheet and then check your answers. Try to use the steps we have shown you here, rather than just guessing!

Try the questions below, then read Introduction to Algebra - Multiplication

1725,1726,1727,1728,3135,3136,3137,3138,3850,3851

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What is the missing number? OK, the answer is 6, right? Because 6 − 2 = 4. Easy stuff. Well, in Algebra we don't use blank boxes, we use a letter (usually an x or y, but any letter is fine). So we write: It is really that simple.

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Practising Grade 4 math: 'Solve variable equations'

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Fun math practice! Improve your skills with free problems in 'Solve variable equations' and thousands of other practice lessons.

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Practising Grade 4 math: 'Write variable expressions: word problems'

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Fun math practice! Improve your skills with free problems in 'Write variable expressions: word problems' and thousands of other practice lessons.

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IXL - Find the Missing Number - Practise

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IXL - Find the Missing Number - Practise

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Practising Grade 4 math: 'Evaluate variable expressions'

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Fun math practice! Improve your skills with free problems in 'Evaluate variable expressions' and thousands of other practice lessons.

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Game

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Learn how to order equations from least to greatest with this fun math game.

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Game

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Learn how to make 24 and learn algebra the fun way.

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Game

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Make X math game. Fun free flash math game teaches logical thinking and mental math.

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Game

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Learn addition with missiing numbers the fun way with this matching style math game.

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Math is about practice! This arcade style math game will

help kids learn to compare equations the fun way.

Keep playing until the problems seem easy and you can solve them quickly.
Keep track of your score and try to do better each time you play.

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Math is about practice! This arcade style math game will help kids learn to compare equations the fun way. Keep playing until the problems seem easy and you can solve them quickly. Keep track of your score and try to do better each time you play.