1. Simple Linear Patterns using diagrams and tables
National 4
EF 1.1e
Square Numbers
Triangular Numbers
Simple Linear Patterns
Harder Linear Patterns

2. Starter Questions www.mathsrevision.com
National 4
EF 1.1e
Q1. Calculate Area and perimeter
5cm
2cm
3cm
4cm
Q2. 30% of 200
Q3.
Q4. If a = 1 , b = 2 and c = 4
Find

3. Simple Linear Patterns using diagrams and tables
National 4
EF 1.1e
Learning Intention
Success Criteria
Using tables to help us come up with formulae for Simple Linear Patterns using diagrams and tables.
Construct tables.
Find the difference value in patterns.
Using the difference value
to write down a formula.

4. Simple Linear Patterns using diagrams and tables
National 4
EF 1.1e
In an internet café 3 surfers can sit round a triangular table.
1 Table
3 Tables
2 Tables
Task : Find a formula connecting
the number of tables and the number of surfers.

5. Simple Linear Patterns using diagrams and tables
National 4
EF 1.1e
1 Table
3 Tables
2 Tables
Fill empty boxes
Step 1 :
Number of Tables 1 2 3 4 5
Number of Surfers 3 6 9 12 15 3 3 3 3
Step 2 : Find difference
Same difference linear pattern
What is the formula

6. Simple Linear Patterns using diagrams and tables
National 4
EF 1.1e
HINT : Let the number of surfers be the letter S
and the number of tables be the letter T
Step 3 : 2 4 5 1 3
Number of Tables 6 12 15 9
Number of Surfers 3 3 3 3
Can you write down formula connecting
the number of surfers and the number of tables.
S = 3 x T
S = 3T

7. Simple Linear Patterns using diagrams and tables
National 4
EF 1.1e
Key-Points
Write down the 3 main steps
1. Make a table
2. Find the difference
3. Use the difference to write
down the formula

8. Simple Linear Patterns using diagrams and tables
National 4
EF 1.1e
Now try Ex 1
Ch 17 (Page 205)

9. Complicated Linear Patterns using diagrams and tables
National 4
EF 1.1e
Q1. Calculate Area and perimeter
10cm
3cm
6cm
7cm
Q2. 32% of 200
Q3.

10. Complicated Linear Patterns using diagrams and tables
National 4
EF 1.1e
Learning Intention
Success Criteria
Using tables to help us come up with formulae for complicated Linear Patterns using diagrams and tables.
Construct tables.
Find the difference value in patterns.
Work out correction factor
4. Using the difference value
to write down a formula
connecting table values.

11. Complicated Linear Patterns using diagrams and tables
National 4
EF 1.1e
A pattern is made up of pentagons.
Pattern 1
Pattern 3
Pattern 2
Task : Find a formula connecting
the Pattern number and the number of sides.

12. Complicated Linear Patterns using diagrams and tables
National 4
EF 1.1e
Fill empty boxes
Pattern 1
Pattern 3
Pattern 2
Step 1 :
Pattern Number (P) 1 2 3 4 5
Number of Sides (S) 5 9 13 17 21 4 4 4 4
Step 2 : Find difference
What is the formula
Same difference linear pattern

13. Complicated Linear Patterns using diagrams and tables
National 4
EF 1.1e
S = 4 x P
Part of the Formula 2 4 5 1 3
Pattern Number (P) 9 17 21 13
Number of Sides (S) 4
Can you write down formula connecting
the Pattern number and the number of Sides.
Find a number so formula works
Step 3 :
Step 4 :
Correction factor “add on 1”
S = 4P + 1

14. Complicated Linear Patterns using diagrams and tables
National 4
EF 1.1e
Key-Points
Write down the 4 main steps
1. Make a table
2. Find the difference
3. Write down part of formula
4. Find the correction factor and
then write down the full formula

15. Complicated Linear Patterns using diagrams and tables
National 4
EF 1.1e
Now try Ex 2
Ch 17 (Page 209)

16. Created by Mr. Lafferty @www.mathsrevision.com
Starter Questions
National 4
EF 1.1e
6 cm
10 cm
114o
Wednesday, 19 April 2017
Created by Mr.

17. Created by Mr. Lafferty @www.mathsrevision.com
Square Numbers
National 4
EF 1.1e
Learning Intention
Success Criteria
To explain what a square number is.
To understand what a square number is.
Calculate the first 10 square numbers.
Wednesday, 19 April 2017
Created by Mr.

18. Square Numbers
Write down the next square number
National 4
EF 1.1e 16
1 4 9 42
Write down the first 10 square numbers.
19-Apr-17
Created by Mr.Lafferty Math Dept

19. Created by Mr. Lafferty @www.mathsrevision.com
Square Numbers
National 4
EF 1.1e
Now try
Extension Booklet
3E (page 95)
Wednesday, 19 April 2017
Created by Mr.

20. Created by Mr. Lafferty @www.mathsrevision.com
Starter Questions
National 4
EF 1.1e
8 cm
6 cm
122o
Wednesday, 19 April 2017
Created by Mr.

21. Created by Mr. Lafferty @www.mathsrevision.com
Triangular Numbers
National 4
EF 1.1e
Learning Intention
Success Criteria
To explain what a triangular number is.
To understand what a
triangular number is.
Calculate the first 10 triangular numbers.
Wednesday, 19 April 2017
Created by Mr.

22. Triangular and square Numbers
Which numbers are both square and triangular number
Triangular and square Numbers
Write down the next triangular number
National 4
EF 1.1e 15
2 3 4 5
Write down the first 10 triangular numbers.
19-Apr-17
Created by Mr.Lafferty Math Dept

23. Created by Mr. Lafferty @www.mathsrevision.com
Special Patterns
National 4
EF 1.1e
Now try
Extension Booklet
4E (page 97)
Wednesday, 19 April 2017
Created by Mr.