linear patterns linear patterns simple linear patterns complicated linear patterns mth 2-13a &...
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Linear PatternsLinear Patternsw
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Simple Linear Patterns
Complicated Linear Patterns
MTH 2-13a & MTH 3-13a
Starter QuestionsStarter Questionsw
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Q4. If a = 1 , b = 2 and c = 4
Find
Q3.
Q2. 30% of 200
( 25) ( 20)
5cm
2cm
3cm
4cm
2c - ab
MTH 2-13a & MTH 3-13a
Simple Linear Patterns Simple Linear Patterns using diagrams and using diagrams and
tablestables
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1.1. Find the difference in a Find the difference in a pattern.pattern.
1. We are learning to use tables to help us come up with formulae for Simple Linear Patterns.
2.2. Write down formulaWrite down formula
MTH 2-13a & MTH 3-13a
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Simple Linear Patterns Simple Linear Patterns using diagrams and using diagrams and
tablestables
In an internet café 3 surfers can sit round a triangular table.
1 Table 3 Tables2 Tables
Task :Find a formula connecting
the number of tables and the number of surfers.
MTH 2-13a & MTH 3-13a
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Simple Linear Patterns Simple Linear Patterns using diagrams and using diagrams and
tablestables
1 Table 3 Tables2 Tables
2 4 51 3Number of Tables
6 12 15
3 9Number of Surfers
Step 1 :
Fill empty boxes
3 3 3 3
Same differencelinear pattern
What is the formula
Step 2 : Find difference
MTH 2-13a & MTH 3-13a
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Simple Linear Patterns Simple Linear Patterns using diagrams and using diagrams and
tablestables
2 4 51 3Number of Tables
6 12 15
3 9Number of Surfers
3 3 3 3
Can you write down formula connectingthe number of surfers and the number of tables.
S = 3 x T
S = 3T
HINT : Let the number of surfers be the letter S and the number of tables be the letter T
Step 3 :
MTH 2-13a & MTH 3-13a
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Simple Linear Patterns Simple Linear Patterns using diagrams and using diagrams and
tablestables
Key-PointsKey-Points
Write down the 3 main steps
1. Make a table
2. Find the difference
3. Use the difference to write down the formula
MTH 2-13a & MTH 3-13a
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Simple Linear Patterns Simple Linear Patterns using diagrams and using diagrams and
tablestables
Now try Exercise 1Ch53 (page 193)
MTH 2-13a & MTH 3-13a
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Complicated Linear Complicated Linear Patterns using diagrams Patterns using diagrams
and tablesand tables
Q1. Calculate Area and perimeter
Q3.
Q2. 32% of 200
( 25) ( 20)
10cm
3cm
6cm
7cm
MTH 2-13a & MTH 3-13a
Complicated Linear Complicated Linear Patterns using diagrams Patterns using diagrams
and tablesand tables
ww
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1. We are learning to use tables to help us come up with formulae for complicated Linear Patterns using diagrams and tables.
1.1. Find the difference Find the difference value in patterns.value in patterns.
2.2. Calculate correction factorCalculate correction factor
3.3. Write down formula Write down formula using steps 1 & 2 aboveusing steps 1 & 2 above
MTH 2-13a & MTH 3-13a
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A pattern is made up of pentagons.
Pattern 1 Pattern 3Pattern 2
Task :Find a formula connecting
the Pattern number and the number of Sides.
Complicated Linear Complicated Linear Patterns using diagrams Patterns using diagrams
and tablesand tablesMTH 2-13a & MTH 3-13a
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2 4 51 3Pattern Number (P)
9 17 21
5 13Number of Sides (S)
Step 1 :
Fill empty boxes
4 4 4 4
Same difference
linear pattern
What is the
formula
1 Table 3 Tables2 Tables
Complicated Linear Complicated Linear Patterns using diagrams Patterns using diagrams
and tablesand tables
Step 2 : Find difference
MTH 2-13a & MTH 3-13a
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9 17 21
5 13Number of Sides (S)
4 4 4 4
S = 4P + 1
Complicated Linear Complicated Linear Patterns using diagrams Patterns using diagrams
and tablesand tables
S = 4 x PPart of the Formula
Correction factor “add on 1”
Find a number
so formula works
Step 3 :
Step 4 :
MTH 2-13a & MTH 3-13a
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Write down the 4 main steps
1. Make a table
2. Find the difference
3. Write down part of formula
Complicated Linear Complicated Linear Patterns using diagrams Patterns using diagrams
and tablesand tables
4. Find the correction factor and then write down the full formula
MTH 2-13a & MTH 3-13a
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Simple Linear Patterns Simple Linear Patterns using diagrams and using diagrams and
tablestables
310 2
3
1
4
2
6
5xx 00 11 22 33
yy 00 22 44 66
(0,0)(1,2) (3,6)
(2,4)
Simple linear patterns always give a straight line through the origin
y
x
y = 2x
MTH 2-13a & MTH 3-13a
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Simple Linear Patterns Simple Linear Patterns using diagrams and using diagrams and
tablestables
xx 00 11 22 33
yy 11 44 77 1100
(0,1)(1,4) (3,10)
(2,7)
Complicated linear patterns always give a straight line NOT through the origin
310 2
3
1
4
2
6
5
y
x
7810
9 y = 3x + 1
MTH 2-13a & MTH 3-13a