simple linear patterns harder linear patterns triangular numbers square numbers national 4 ef 1.1e...
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Simple Linear Patterns
Harder Linear Patterns
Triangular Numbers
Square Numbers
National 4 EF 1.1e
Simple Linear Patterns Simple Linear Patterns using diagrams and using diagrams and
tablestables
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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
National 4 EF 1.1e
Simple Linear Patterns Simple Linear Patterns using diagrams and using diagrams and
tablestables
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1.1. Construct tables.Construct tables.1. Using tables to help us come up with formulae for Simple Linear Patterns using diagrams and tables.
2.2. Find the difference Find the difference value in patterns.value in patterns.
3.3. Using the difference value Using the difference value to write down a formula.to write down a formula.
National 4 EF 1.1e
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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.
National 4 EF 1.1e
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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
National 4 EF 1.1e
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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 :
National 4 EF 1.1e
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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
National 4 EF 1.1e
Now try Ex 1
Ch 17 (Page 205)
Simple Linear Patterns Simple Linear Patterns using diagrams and using diagrams and
tablestables
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National 4 EF 1.1e
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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
National 4 EF 1.1e
Complicated Linear Complicated Linear Patterns using diagrams Patterns using diagrams
and tablesand tables
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1.1. Construct tables.Construct tables.1. Using tables to help us come up with formulae for complicated Linear Patterns using diagrams and tables.
2.2. Find the difference Find the difference value in patterns.value in patterns.
3.3. Work out correction factorWork out correction factor
4.4. Using the difference value Using the difference value to write down a formulato write down a formulaconnecting table values.connecting table values.
National 4 EF 1.1e
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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 tablesNational 4 EF 1.1e
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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 differencelinear pattern
What is the formula
Pattern 1 Pattern 3Pattern 2
Complicated Linear Complicated Linear Patterns using diagrams Patterns using diagrams
and tablesand tables
Step 2 : Find difference
National 4 EF 1.1e
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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 :
National 4 EF 1.1e
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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
National 4 EF 1.1e
Now try Ex 2
Ch 17 (Page 209)
Complicated Linear Complicated Linear Patterns using diagrams Patterns using diagrams
and tablesand tables
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National 4 EF 1.1e
Wednesday 19 April 2023Wednesday 19 April 2023 Created by Mr. Lafferty Created by Mr. Lafferty @[email protected]
Starter Starter QuestionsQuestions
Q2. Find the missing angle.
Q.3 Calculate
(a) -16 -12- 6 (b) (-9) x (5) (c) (-22) x (-11) 2
1. Calculate the area of the following shape.
10 cm
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6 cm
114o
1616
National 4 EF 1.1e
Wednesday 19 April 2023Wednesday 19 April 2023 Created by Mr. Lafferty Created by Mr. Lafferty @[email protected]
Learning IntentionLearning Intention Success CriteriaSuccess Criteria
1.1. To understand what a To understand what a square number is.square number is.
1. To explain what a square number is.
2.2. Calculate the first 10 Calculate the first 10 square numbers.square numbers.
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Square NumbersSquare Numbers
1717
National 4 EF 1.1e
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National 4 EF 1.1e
Apr 19, 2023Apr 19, 2023 Created by Mr.Lafferty Math DeptCreated by Mr.Lafferty Math Dept
Square Square NumbersNumbers
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Write down the first 10 square numbers.
12 22 32
1 4 9 16 25 36 49 64 81 100
Write down the next square number
1 4 9 1642
Wednesday 19 April 2023Wednesday 19 April 2023 Created by Mr. Lafferty Created by Mr. Lafferty @[email protected]
Now try Extension Booklet
3E (page 95)
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1919
Square Square NumbersNumbersNational 4
EF 1.1e
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Wednesday 19 April 2023Wednesday 19 April 2023 Created by Mr. Lafferty Created by Mr. Lafferty @[email protected]
Starter Starter QuestionsQuestions
Q2. Find the missing angle.
Q.3 Calculate
(a) -16 +12 4 (b) (4) x (-2) (c) (4) x (-9) 2
1. Calculate the area of the following shape.
6 cm
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8 cm
122o
2020
National 4 EF 1.1e
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Wednesday 19 April 2023Wednesday 19 April 2023 Created by Mr. Lafferty Created by Mr. Lafferty @[email protected]
Learning IntentionLearning Intention Success CriteriaSuccess Criteria
1.1. To understand what a To understand what a triangular number is.triangular number is.
1. To explain what a triangular number is.
2.2. Calculate the first 10 Calculate the first 10 triangular numbers.triangular numbers.
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Triangular NumbersTriangular Numbers
2121
National 4 EF 1.1e
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National 4 EF 1.1e
Apr 19, 2023Apr 19, 2023 Created by Mr.Lafferty Math DeptCreated by Mr.Lafferty Math Dept
Triangular and square Triangular and square NumbersNumbers
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1 3 6 102 3 4
Write down the first 10 triangular numbers.
Write down the next triangular
number
15
1 3 6 10 15 21 28 36 45 55
5
Which numbers are both square and triangular
number
Wednesday 19 April 2023Wednesday 19 April 2023 Created by Mr. Lafferty Created by Mr. Lafferty @[email protected]
Now try Extension Booklet
4E (page 97)
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Special PatternsSpecial Patterns
2323
National 4 EF 1.1e