Introduction to Linear Patterns

Presentation

•

Mathematics

•

9th Grade

•

Practice Problem

•

Easy

Eunan McDonald

Used 4+ times

FREE Resource

11 Slides • 12 Questions

Linear and non-Linear
Patterns

Checking the differences between the numbers in a list allows us to recognise the type of pattern...

Check 1st Differences

Adding or Subtracting the same thing each time means Linear

But if what happens changes each time then it's
non-Linear

And if it's not even Adding or Subtracting then it's also
non-Linear

Multiple Choice

What is are the differences between each of the values in this list?

Add 2

Add 1

Times 2

Subtract 3

Multiple Choice

Based on the difference you found,

in what pattern do you think this list of numbers is?

non-Linear

Linear

Remember, adding or subtracting the SAME thing each time makes a pattern

LINEAR

That's Right!

The differences were +1 each time...

Multiple Choice

What about the differences between each value in this list?

- 5

x 5

/ 5

Multiple Choice

Based on the difference you found,

what pattern do you think this list of numbers makes?

non-Linear

Linear

LINEAR

Right Again!

The differences were -5 each time...

Multiple Choice

Is this pattern Linear or non-Linear?

non-Linear

Linear

LINEAR

Right Again!

The differences were +2 each time...

Multiple Choice

What are the differences between each value in this list?

+2 each time

$-3$ each time

$\times2$ each time

$+2,\ +3,\ +4,\ +5...$

Multiple Choice

So what would you say about the pattern?

Differences changing each time

non-Linear

Differences the same each time

Linear

Non-LINEAR

Right Again!

The differences kept changing...

Open Ended

Describe what's happening each time in this pattern?

Type response here

Non-LINEAR

Yes, Divide by 2!

The differences were the same but not addition or subtraction

The number of matchsticks at each stage here form a

Linear Pattern

3 matches are added on each time to get to the next shape

Real World Patterns

Draw

Draw Pattern 4 in the space provided?

You can use one colour...

Draw

Now Draw Pattern 5?

Multiple Choice

Did you notice?

1 difference added to the starting 4 gives the 2^ndPattern

2 differences added to the starting 4 gives the 3^rdPattern

3 differences added to the starting 4 gives the 4^thPattern

How many differences would need to be added to the starting 4 to give the 10^thPattern?

9 differences added

10 differences added

11 differences added

Multiple Choice

Therefore, can you work out the total number of matchsticks in the 10^th Pattern?

NB Each difference is 3 more matches...

$4+9\left(3\right)=31$

$4+10\left(3\right)=34$

$4+11\left(3\right)=37$

Linear and non-Linear
Patterns

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Introduction to Linear Patterns

Linear and non-LinearPatterns

Adding or Subtracting the same thing each time means Linear

But if what happens changes each time then it'snon-Linear

And if it's not even Adding or Subtracting then it's alsonon-Linear

Linear and non-LinearPatterns

Similar Resources on Wayground

Popular Resources on Wayground

Discover more resources for Mathematics

Linear and non-Linear
Patterns

But if what happens changes each time then it's
non-Linear

And if it's not even Adding or Subtracting then it's also
non-Linear

Linear and non-Linear
Patterns