1. Simple Linear Patterns using diagrams and tables
MTH 2-13a
& MTH 3-13a
Square Numbers
Triangular Numbers
Simple Linear Patterns
Harder Linear Patterns
Flower Bed Investigation

2. Starter Questions www.mathsrevision.com
MTH 2-13a
& MTH 3-13a
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
MTH 2-13a
& MTH 3-13a
Learning Intention
Success Criteria
We are learning how tables can help us to come up with formulae for Simple Linear Patterns.
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
MTH 2-13a
& MTH 3-13a
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
MTH 2-13a
& MTH 3-13a
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
MTH 2-13a
& MTH 3-13a
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
MTH 2-13a
& MTH 3-13a
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
MTH 2-13a
& MTH 3-13a
Now try Ex 3
Ch11 (Page 135)

9. Complicated Linear Patterns using diagrams and tables
MTH 2-13a
& MTH 3-13a
Q1. Calculate Area and perimeter
10cm
3cm
6cm
7cm
Q2. 32% of 200
Q3.

10. Complicated Linear Patterns using diagrams and tables
MTH 2-13a
& MTH 3-13a
Learning Intention
Success Criteria
We are learning how tables can help us come up with formulae for complicated Linear Patterns.
Construct tables.
Find the difference value in patterns.
Calculate correction factor
4. Use the difference value
to write down a formula
connecting the table values.

11. Complicated Linear Patterns using diagrams and tables
MTH 2-13a
& MTH 3-13a
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
MTH 2-13a
& MTH 3-13a
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
MTH 2-13a
& MTH 3-13a
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
MTH 2-13a
& MTH 3-13a
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
MTH 2-13a
& MTH 3-13a
Now try Ex 4
Ch11 (Page 139)

16. Created by Mr. Lafferty @www.mathsrevision.com
Starter Questions
MTH 2-13a
& MTH 3-13a
6 cm
10 cm
114o
Sunday, 24 February 2019
Created by Mr.

17. Created by Mr. Lafferty @www.mathsrevision.com
Square Numbers
MTH 2-13a
& MTH 3-13a
Learning Intention
Success Criteria
We are learning what a square number is.
To understand what a square number is.
Calculate the first 10 square numbers.
Sunday, 24 February 2019
Created by Mr.

18. Square Numbers
Write down the next square number
MTH 2-13a
& MTH 3-13a 16
1 4 9 42
Write down the first 10 square numbers.
24-Feb-19
Created by Mr.Lafferty Math Dept

19. Created by Mr. Lafferty @www.mathsrevision.com
Square Numbers
MTH 2-13a
& MTH 3-13a
Now try Ex1
Ch11 (page 131)
Sunday, 24 February 2019
Created by Mr.

20. Created by Mr. Lafferty @www.mathsrevision.com
Starter Questions
MTH 2-13a
& MTH 3-13a
8 cm
6 cm
122o
Sunday, 24 February 2019
Created by Mr.

21. Created by Mr. Lafferty @www.mathsrevision.com
Triangular Numbers
MTH 2-13a
& MTH 3-13a
Learning Intention
Success Criteria
We are learning what a triangular number is.
To understand what a
triangular number is.
Calculate the first 10 triangular numbers.
Sunday, 24 February 2019
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
MTH 2-13a
& MTH 3-13a 15
2 3 4 5
Write down the first 10 triangular numbers.
24-Feb-19
Created by Mr.Lafferty Math Dept

23. Created by Mr. Lafferty @www.mathsrevision.com
Special Patterns
MTH 2-13a
& MTH 3-13a
Now try
Ch11 (page 133)
Sunday, 24 February 2019
Created by Mr.

24. Flower Bed Investigation
MTH
3-13a
David is designing a flower bed pattern for the local garden show.
He wants to use regular hexagonal shapes for the bed and slabs.
This is the flower bed shape
This is a slab shape

25. (Ensure that your paper is portrait) Flower Bed Investigation
Draw this design on the
isometric dot paper provided.
(Ensure that your paper is portrait)
Flower Bed Investigation
MTH
3-13a
Here is the design that has one flower bed surrounded by slabs.
How many slabs are required to surround the flower bed?
1 flower bed
6 slabs

26. Flower Bed Investigation
MTH
3-13a
Now draw two flower beds surrounded by slabs.
How many slabs are required to surround the flower bed?
2 flower bed
11 slabs

27. Flower Bed Investigation
MTH
3-13a
How many slabs are required to surround the flower bed?
Now draw three flower beds surrounded by slabs.
3 flower bed
16 slabs

28. Flower Bed Investigation
MTH
3-13a
Task
In your group discuss how best to record these results
and work out a formula to calculate the number of slabs
for given number of flower beds.
As a group you are required to hand in a single solution for this task showing all working.

29. Flower Bed Investigation
MTH
3-13a
Number Flower Beds (f) 1 2 3 4
Number of Slabs (s) 6 11 16 21
s = 5f + 1
126
How many hexagonal slabs are needed for 25 flower beds.
If we had 76 available slabs how many flower beds could we surround 15

30. Flower Bed Investigation
MTH
3-13a
Task
What is the maximum number of flower beds
you could surround if you had 83 slabs 16

31. Flower Bed Investigation
MTH
3-13a
Homework
Now align the flower beds vertically
and
investigate if the formula is still the same?

32. Vertical Flower Bed Investigation
MTH
3-13a
Number Flower Beds (f) 1 2 3 4
Number of Slabs (s) 6 10 14 18
s = 4f + 2