Linear%20Patterns

1
Linear Patterns
MTH 2-13a MTH 3-13a
Simple Linear Patterns
www.mathsrevision.com
Complicated Linear Patterns
2
Starter Questions
MTH 2-13a MTH 3-13a
Q1. Calculate Area and perimeter
Q2. 30 of 200
Q3.
www.mathsrevision.com
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

1. Find the difference in a pattern.

1. We are learning to use tables to help us come up
   with formulae for Simple Linear Patterns.

1. Write down formula

www.mathsrevision.com
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.
www.mathsrevision.com
5
Simple Linear Patterns using diagrams and tables
MTH 2-13a MTH 3-13a
Fill empty boxes
Number of Tables
Step 1
12
15
Number of Surfers
www.mathsrevision.com
Step 2 Find difference
What is the formula
Same difference linear pattern
6
Simple Linear Patterns using diagrams and tables
MTH 2-13a MTH 3-13a
www.mathsrevision.com
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
www.mathsrevision.com
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 Exercise 1 Ch53 (page 193)
 
 
 
www.mathsrevision.com
 
9
Complicated Linear Patterns using diagrams and
tables
MTH 2-13a MTH 3-13a
Q1. Calculate Area and perimeter
Q2. 32 of 200
www.mathsrevision.com
Q3.
10
Complicated Linear Patterns using diagrams and
tables
MTH 2-13a MTH 3-13a
Learning Intention
Success Criteria
1. Find the difference value in patterns.

1. 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
www.mathsrevision.com
3. Write down formula using steps 1 2 above
11
Complicated Linear Patterns using diagrams and
tables
MTH 2-13a MTH 3-13a
A pattern is made up of pentagons.
www.mathsrevision.com
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 Number (P)
Step 1
17
21
Number of Sides (S)
www.mathsrevision.com
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
www.mathsrevision.com
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
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
15
Simple Linear Patterns using diagrams and tables
MTH 2-13a MTH 3-13a
y
y 2x






x 0 1 2 3
y 0 2 4 6
www.mathsrevision.com
x
Simple linear patterns always give a straight
line through the origin
16
Simple Linear Patterns using diagrams and tables
MTH 2-13a MTH 3-13a
y
y 3x 1
9
8
x 0 1 2 3
y 1 4 7 10
10
7
6
5
www.mathsrevision.com
4
3
2
1
Complicated linear patterns always give a
straight line NOT through the origin
x
17
Complicated Linear Patterns using diagrams and
tables
MTH 2-13a MTH 3-13a
Now try Exercise 2 Ch53 (page 197)
www.mathsrevision.com