1. Linear Patterns Simple Linear Patterns www.mathsrevision.com
Level 4+
Simple Linear Patterns
Complicated Linear Patterns
Non Linear Patterns

2. Starter Questions www.mathsrevision.com
Level 4+
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
Level 4+
Learning Intention
Success Criteria
We are learning to use tables to help us come up with formulae for Simple Linear Patterns.
Find the difference in a pattern.
Write down formula

4. Simple Linear Patterns using diagrams and tables
Level 4+
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
Level 4+
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
Level 4+
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
Level 4+
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
Level 4+
Now try TJ4+
Ex 17.1
Ch17 (page 132)
16-May-19
Created by Mr. Lafferty Maths Dept.

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

10. Complicated Linear Patterns using diagrams and tables
Level 4+
Learning Intention
Success Criteria
We are learning to use tables to help us come up with formulae for complicated Linear Patterns using diagrams and tables.
1. Find the difference value in patterns.
2. Calculate correction factor
3. Write down formula
using steps 1 & 2 above

11. Complicated Linear Patterns using diagrams and tables
Level 4+
Count as 1 side
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
Level 4+
Fill empty boxes
1 Table
3 Tables
2 Tables
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
Level 4+
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 :
S = 4P + 1
Correction factor “add on 1”

14. Complicated Linear Patterns using diagrams and tables
Level 4+
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. Simple Linear Patterns using diagrams and tables
Level 4+ y
y = 2x 3 1 4 2 6 5 x 1 2 3 y 4 6
(0,0)
(1,2)
(2,4)
(3,6) x 3 1 2
Simple linear patterns always give a straight line through the origin

16. Simple Linear Patterns using diagrams and tables
Level 4+ y
y = 3x + 1 9 8 10 x 1 2 3 y 4 7 10 7 6 5
(0,1)
(1,4)
(2,7)
(3,10) 4 3 2 1
Complicated linear patterns
always give a straight line NOT
through the origin x 3 1 2

17. Simple Linear Patterns using diagrams and tables
Level 4+
Now try TJ4+
Ex 17.2
Ch17 (page 133)
16-May-19
Created by Mr. Lafferty Maths Dept.

18. Make up your own linear pattern table
Non Linear Patterns
Level 4+
Make up your own linear pattern table
and write down formula.

19. Non Linear Patterns www.mathsrevision.com Learning Intention
Level 4+
Learning Intention
Success Criteria
We are investigating non linear patterns.
1. Use you knowledge to come up with a formula for various Non Patterns.

20. Complicated Linear Patterns using diagrams and tables
Level 4+
nth term = n2
Look at the pattern below
Pattern 1
Pattern 3
Pattern 2
Task : Find a formula connecting
the Pattern number and the number of circles.

21. Complicated Linear Patterns using diagrams and tables
nth = (n+2)2 – n2
Complicated Linear Patterns using diagrams and tables
Level 4+
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 red squares.

22. Linear Patterns Now try TJ4+ Ex 17.3 Ch17 (page 135)
Have you updated your Learning Log ?
Linear Patterns
Now try TJ4+
Ex 17.3
Ch17 (page 135)
Are you on Target ?
I can ?
16-May-19
Created by Mr. Lafferty Maths Dept.