Linear PatternsLinear Patternsw

ww

.math

srevis

ion

.com

Simple Linear Patterns

Complicated Linear Patterns

MTH 2-13a & MTH 3-13a

Starter QuestionsStarter Questionsw

ww

.math

srevis

ion

.com Q1. Calculate Area and perimeter

Q4. If a = 1 , b = 2 and c = 4

Find

Q3.

Q2. 30% of 200

( 25) ( 20)

5cm

2cm

3cm

4cm

2c - ab

MTH 2-13a & MTH 3-13a

Simple Linear Patterns Simple Linear Patterns using diagrams and using diagrams and

tablestables

ww

w.m

ath

srevis

ion

.com Learning IntentionLearning Intention Success CriteriaSuccess Criteria

1.1. Find the difference in a Find the difference in a pattern.pattern.

1. We are learning to use tables to help us come up with formulae for Simple Linear Patterns.

2.2. Write down formulaWrite down formula

MTH 2-13a & MTH 3-13a

ww

w.m

ath

srevis

ion

.com

Simple Linear Patterns Simple Linear Patterns using diagrams and using diagrams and

tablestables

In an internet café 3 surfers can sit round a triangular table.

1 Table 3 Tables2 Tables

Task :Find a formula connecting

the number of tables and the number of surfers.

MTH 2-13a & MTH 3-13a

ww

w.m

ath

srevis

ion

.com

Simple Linear Patterns Simple Linear Patterns using diagrams and using diagrams and

tablestables

1 Table 3 Tables2 Tables

2 4 51 3Number of Tables

6 12 15

3 9Number of Surfers

Step 1 :

Fill empty boxes

3 3 3 3

Same differencelinear pattern

What is the formula

Step 2 : Find difference

MTH 2-13a & MTH 3-13a

ww

w.m

ath

srevis

ion

.com

Simple Linear Patterns Simple Linear Patterns using diagrams and using diagrams and

tablestables

2 4 51 3Number of Tables

6 12 15

3 9Number of Surfers

3 3 3 3

Can you write down formula connectingthe number of surfers and the number of tables.

S = 3 x T

S = 3T

HINT : Let the number of surfers be the letter S and the number of tables be the letter T

Step 3 :

MTH 2-13a & MTH 3-13a

ww

w.m

ath

srevis

ion

.com

Simple Linear Patterns Simple Linear Patterns using diagrams and using diagrams and

tablestables

Key-PointsKey-Points

Write down the 3 main steps

1. Make a table

2. Find the difference

3. Use the difference to write down the formula

MTH 2-13a & MTH 3-13a

ww

w.m

ath

srevis

ion

.com

Simple Linear Patterns Simple Linear Patterns using diagrams and using diagrams and

tablestables

 

 

 

 

Now try Exercise 1Ch53 (page 193)

MTH 2-13a & MTH 3-13a

ww

w.m

ath

srevis

ion

.com

Complicated Linear Complicated Linear Patterns using diagrams Patterns using diagrams

and tablesand tables

Q1. Calculate Area and perimeter

Q3.

Q2. 32% of 200

( 25) ( 20)

10cm

3cm

6cm

7cm

MTH 2-13a & MTH 3-13a

Complicated Linear Complicated Linear Patterns using diagrams Patterns using diagrams

and tablesand tables

ww

w.m

ath

srevis

ion

.com Learning IntentionLearning Intention Success CriteriaSuccess Criteria

1. We are learning to use tables to help us come up with formulae for complicated Linear Patterns using diagrams and tables.

1.1. Find the difference Find the difference value in patterns.value in patterns.

2.2. Calculate correction factorCalculate correction factor

3.3. Write down formula Write down formula using steps 1 & 2 aboveusing steps 1 & 2 above

MTH 2-13a & MTH 3-13a

ww

w.m

ath

srevis

ion

.com

A pattern is made up of pentagons.

Pattern 1 Pattern 3Pattern 2

Task :Find a formula connecting

the Pattern number and the number of Sides.

Complicated Linear Complicated Linear Patterns using diagrams Patterns using diagrams

and tablesand tablesMTH 2-13a & MTH 3-13a

ww

w.m

ath

srevis

ion

.com

2 4 51 3Pattern Number (P)

9 17 21

5 13Number of Sides (S)

Step 1 :

Fill empty boxes

4 4 4 4

Same difference

linear pattern

What is the

formula

1 Table 3 Tables2 Tables

Complicated Linear Complicated Linear Patterns using diagrams Patterns using diagrams

and tablesand tables

Step 2 : Find difference

MTH 2-13a & MTH 3-13a

ww

w.m

ath

srevis

ion

.com 2 4 51 3Pattern Number (P)

9 17 21

5 13Number of Sides (S)

4 4 4 4

S = 4P + 1

Complicated Linear Complicated Linear Patterns using diagrams Patterns using diagrams

and tablesand tables

S = 4 x PPart of the Formula

Correction factor “add on 1”

Find a number

so formula works

Step 3 :

Step 4 :

MTH 2-13a & MTH 3-13a

ww

w.m

ath

srevis

ion

.com Key-PointsKey-Points

Write down the 4 main steps

1. Make a table

2. Find the difference

3. Write down part of formula

Complicated Linear Complicated Linear Patterns using diagrams Patterns using diagrams

and tablesand tables

4. Find the correction factor and then write down the full formula

MTH 2-13a & MTH 3-13a

ww

w.m

ath

srevis

ion

.com

Simple Linear Patterns Simple Linear Patterns using diagrams and using diagrams and

tablestables

310 2

3

1

4

2

6

5xx 00 11 22 33

yy 00 22 44 66

(0,0)(1,2) (3,6)

(2,4)

Simple linear patterns always give a straight line through the origin

y

x

y = 2x

MTH 2-13a & MTH 3-13a

ww

w.m

ath

srevis

ion

.com

Simple Linear Patterns Simple Linear Patterns using diagrams and using diagrams and

tablestables

xx 00 11 22 33

yy 11 44 77 1100

(0,1)(1,4) (3,10)

(2,7)

Complicated linear patterns always give a straight line NOT through the origin

310 2

3

1

4

2

6

5

y

x

7810

9 y = 3x + 1

MTH 2-13a & MTH 3-13a

ww

w.m

ath

srevis

ion

.com

Complicated Linear Complicated Linear Patterns using diagrams Patterns using diagrams

and tablesand tables

Now try Exercise 2Ch53 (page 197)

MTH 2-13a & MTH 3-13a