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Simple Linear Patterns using diagrams and tables. National 4 EF 1.1e. Square Numbers. Triangular Numbers. www.mathsrevision.com. Simple Linear Patterns. Harder Linear Patterns. 3cm. 5cm. 4cm. 2cm. National 4 EF 1.1e. Starter Questions. Q1. Calculate Area and perimeter.

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slide1

Simple Linear Patterns using diagrams and tables

National 4

EF 1.1e

Square Numbers

Triangular Numbers

www.mathsrevision.com

Simple Linear Patterns

Harder Linear Patterns

starter questions

3cm

5cm

4cm

2cm

National 4

EF 1.1e

Starter Questions

Q1. Calculate Area and perimeter

Q2. 30% of 200

Q3.

www.mathsrevision.com

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

Find

simple linear patterns using diagrams and tables

National 4

EF 1.1e

Simple Linear Patterns using diagrams and tables

Learning Intention

Success Criteria

  • Construct tables.
  • Using tables to help us come up with formulae for Simple Linear Patterns using diagrams and tables.
  • Find the difference value in patterns.

www.mathsrevision.com

  • Using the difference value
  • to write down a formula.
slide4

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

National 4

EF 1.1e

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

www.mathsrevision.com

slide5

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

National 4

EF 1.1e

Fill empty boxes

Number of Tables

Step 1 :

Number of Surfers

12

15

www.mathsrevision.com

Step 2 : Find difference

What is the formula

Same difference

linear pattern

slide6

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

National 4

EF 1.1e

www.mathsrevision.com

S = 3 x T

S = 3T

slide7

Simple Linear Patterns using diagrams and tables

National 4

EF 1.1e

Key-Points

Write down the 3 main steps

1. Make a table

www.mathsrevision.com

2. Find the difference

3. Use the difference to write

down the formula

slide8

Simple Linear Patterns using diagrams and tables

National 4

EF 1.1e

Now try Ex 1

Ch 17 (Page 205)

www.mathsrevision.com

slide9

6cm

10cm

7cm

3cm

Complicated Linear Patterns using diagrams and tables

National 4

EF 1.1e

Q1. Calculate Area and perimeter

Q2. 32% of 200

www.mathsrevision.com

Q3.

complicated linear patterns using diagrams and tables

National 4

EF 1.1e

Complicated Linear Patterns using diagrams and tables

Learning Intention

Success Criteria

  • Construct tables.
  • Using tables to help us come up with formulae for complicated Linear Patterns using diagrams and tables.
  • Find the difference value in patterns.

www.mathsrevision.com

  • Work out correction factor

4. Using the difference value

to write down a formula

connecting table values.

complicated linear patterns using diagrams and tables11

3 Tables

1 Table

2 Tables

Task : Find a formula connecting

the number of tables and the number of surfers.

National 4

EF 1.1e

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

Complicated Linear Patterns using diagrams and tables

www.mathsrevision.com

complicated linear patterns using diagrams and tables12

3 Tables

1 Table

2 Tables

2

4

5

1

3

6

4

8

2

2

2

2

National 4

EF 1.1e

Complicated Linear Patterns using diagrams and tables

Fill empty boxes

Number of Tables

Step 1 :

Number of Surfers

10

12

www.mathsrevision.com

Step 2 : Find difference

What is the formula

Same difference

linear pattern

complicated linear patterns using diagrams and tables13

Number of Tables

Number of Surfers

11

13

2

4

5

1

3

7

5

9

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.

National 4

EF 1.1e

Complicated Linear Patterns using diagrams and tables

www.mathsrevision.com

Find a number

so formula works

Step 3 :

Step 4 :

S = 2T + 3

Correction factor “add on 2”

complicated linear patterns using diagrams and tables14

National 4

EF 1.1e

Complicated Linear Patterns using diagrams and tables

Key-Points

Write down the 4 main steps

1. Make a table

www.mathsrevision.com

2. Find the difference

3. Write down part of formula

4. Find the correction factor and

then write down the full formula

slide15

Complicated Linear Patterns using diagrams and tables

National 4

EF 1.1e

Now try Ex 2

Ch 17 (Page 209)

www.mathsrevision.com

starter questions16

114o

National 4

EF 1.1e

Starter Questions

6 cm

10 cm

www.mathsrevision.com

Created by Mr. Lafferty @www.mathsrevision.com

slide17

Square Numbers

National 4

EF 1.1e

Learning Intention

Success Criteria

  • To understand what a square number is.
  • To explain what a square number is.
  • Calculate the first 10 square numbers.

www.mathsrevision.com

Created by Mr. Lafferty @www.mathsrevision.com

square numbers

Write down the next square number

National 4

EF 1.1e

Square Numbers

1 4 9

16

42

12 22 32

www.mathsrevision.com

Write down the first 10 square numbers.

1 4 9 16 25 36 49 64 81 100

Created by Mr.Lafferty Math Dept

slide19

Square Numbers

National 4

EF 1.1e

Now try

Extension Booklet

3E (page 95)

www.mathsrevision.com

Created by Mr. Lafferty @www.mathsrevision.com

starter questions20

122o

National 4

EF 1.1e

Starter Questions

8 cm

6 cm

www.mathsrevision.com

Created by Mr. Lafferty @www.mathsrevision.com

slide21

Triangular Numbers

National 4

EF 1.1e

Learning Intention

Success Criteria

  • To understand what a
  • triangular number is.
  • To explain what a triangular number is.
  • Calculate the first 10 triangular numbers.

www.mathsrevision.com

Created by Mr. Lafferty @www.mathsrevision.com

triangular and square numbers

Which numbers are both square and triangular number

Write down the next square number

National 4

EF 1.1e

Triangular and square Numbers

15

1 3 6 10

www.mathsrevision.com

2 3 4

5

Write down the first 10 triangular numbers.

1 3 6 10 15 21 28 36 45 55

Created by Mr.Lafferty Math Dept

slide23

Special Patterns

National 4

EF 1.1e

Now try

Extension Booklet

4E (page 97)

www.mathsrevision.com

Created by Mr. Lafferty @www.mathsrevision.com