Linear Patterns

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# Linear Patterns - PowerPoint PPT Presentation

MTH 2-13a &amp; MTH 3-13a. Linear Patterns. Simple Linear Patterns. www.mathsrevision.com. Complicated Linear Patterns. 3cm. 5cm. 4cm. 2cm. MTH 2-13a &amp; MTH 3-13a. Starter Questions. Q1. Calculate Area and perimeter. Q2. 30% of 200. Q3. www.mathsrevision.com.

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## PowerPoint Slideshow about 'Linear Patterns' - tevy

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Presentation Transcript

MTH 2-13a

& MTH 3-13a

### Linear Patterns

Simple Linear Patterns

www.mathsrevision.com

Complicated Linear Patterns

3cm

5cm

4cm

2cm

MTH 2-13a

& MTH 3-13a

### Starter Questions

Q1. Calculate Area and perimeter

Q2. 30% of 200

Q3.

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

Find

MTH 2-13a

& MTH 3-13a

### Simple Linear Patterns using diagrams and tables

Learning Intention

Success Criteria

• Find the difference in a pattern.
• We are learning to use tables to help us come up with formulae for Simple Linear Patterns.
• Write down formula

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1 Table

2 Tables

3 Tables

Task : Find a formula connecting

the number of tables and the number of surfers.

Simple Linear Patterns using diagrams and tables

MTH 2-13a

& MTH 3-13a

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

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2

4

5

1

3

6

3

9

1 Table

2 Tables

3 Tables

3

3

3

3

Simple Linear Patterns using diagrams and tables

MTH 2-13a

& MTH 3-13a

Fill empty boxes

Number of Tables

Step 1 :

Number of Surfers

12

15

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Step 2 : Find difference

What is the formula

Same difference

linear pattern

Number of Tables

Number of Surfers

12

15

2

4

5

3

3

6

9

1

3

3

3

3

HINT : Let the number of surfers be the letter S

and the number of tables be the letter T

Step 3 :

Can you write down formula connecting

the number of surfers and the number of tables.

Simple Linear Patterns using diagrams and tables

MTH 2-13a

& MTH 3-13a

www.mathsrevision.com

S = 3 x T

S = 3T

Simple Linear Patterns using diagrams and tables

MTH 2-13a

& MTH 3-13a

Key-Points

Write down the 3 main steps

1. Make a table

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2. Find the difference

3. Use the difference to write

down the formula

Simple Linear Patterns using diagrams and tables

MTH 2-13a

& MTH 3-13a

Now try Exercise 1

Ch53 (page 193)

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6

5

4

(2,4)

(0,0)

3

(1,2)

(3,6)

2

1

0

1

2

3

Simple Linear Patterns using diagrams and tables

MTH 2-13a

& MTH 3-13a

y

y = 2x

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x

Simple linear patterns always give a straight line through the origin

Complicated Linear Patterns using diagrams and tables

MTH 2-13a

& MTH 3-13a

Starter

Fruit Grid

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MTH 2-13a

& MTH 3-13a

### Complicated Linear Patterns using diagrams and tables

Learning Intention

Success Criteria

1. Find the difference value in patterns.

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

2. Calculate correction factor

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3. Write down formula

using steps 1 & 2 above

3 Tables

1 Table

2 Tables

Task : Find a formula connecting

the number of tables and the number of surfers.

MTH 2-13a

& MTH 3-13a

A internet café decides to change it’s table design to.

### Complicated Linear Patterns using diagrams and tables

www.mathsrevision.com

3 Tables

1 Table

2 Tables

2

4

5

1

3

6

4

8

2

2

2

2

MTH 2-13a

& MTH 3-13a

### Complicated Linear Patterns using diagrams and tables

Fill empty boxes

Number of Tables

Step 1 :

Number of Surfers

10

12

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Step 2 : Find difference

What is the formula

Same difference

linear pattern

Number of Tables

Number of Surfers

10

12

2

4

5

1

3

6

4

8

2

2

2

2

S = 2 x T

Part of the Formula

Can you write down formula connecting

the number of surfers and the number of tables.

MTH 2-13a

& MTH 3-13a

### Complicated Linear Patterns using diagrams and tables

www.mathsrevision.com

Find a number

so formula works

Step 3 :

Step 4 :

S = 2T + 2

MTH 2-13a

& MTH 3-13a

### Complicated Linear Patterns using diagrams and tables

Key-Points

Write down the 4 main steps

1. Make a table

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2. Find the difference

3. Write down part of formula

4. Find the correction factor and

then write down the full formula

(2,7)

(0,1)

(1,4)

(3,10)

0

1

2

3

Simple Linear Patterns using diagrams and tables

MTH 2-13a

& MTH 3-13a

y

y = 3x + 1

9

8

10

7

6

5

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4

3

2

1

Complicated linear patterns

always give a straight line NOT

through the origin

x

MTH 2-13a

& MTH 3-13a

### Complicated Linear Patterns using diagrams and tables

Now try Exercise 2

Ch53 (page 197)

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