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Simple Linear Patterns
Harder Linear Patterns
Triangular Numbers
Square Numbers
MTH 2-13a & MTH 3-13a
Simple Linear Patterns Simple Linear Patterns using diagrams and using diagrams and
tablestables
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Flower Bed Investigation
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. Construct tables.Construct tables.1. We are learning how tables can help us to come up with formulae for Simple Linear Patterns.
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.
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
Now try Ex 3
Ch11 (Page 135)
Simple Linear Patterns Simple Linear Patterns using diagrams and using diagrams and
tablestables
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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
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1.1. Construct tables.Construct tables.1. We are learning how tables can help us come up with formulae for complicated Linear Patterns.
2.2. Find the difference Find the difference value in patterns.value in patterns.
3.3. Calculate correction factorCalculate correction factor
4.4. Use the difference value Use the difference value to write down a formulato write down a formulaconnecting the table values.connecting the table values.
MTH 2-13a & MTH 3-13a
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A internet café decides to change it’s table design to.
1 Table 3 Tables2 Tables
Task :Find a formula connecting
the number of tables and the number of surfers.
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 3Number of Tables
6 10 12
4 8Number of Surfers
Step 1 :
Fill empty boxes
2 2 2 2
Same differencelinear 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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6 10 12
4 8Number of Surfers
2 2 2 2
S = 2T + 2
Complicated Linear Complicated Linear Patterns using diagrams Patterns using diagrams
and tablesand tables
S = 2 x TPart of the Formula
Correction factor “add on 2”
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
Now try Ex 4
Ch11 (Page 137)
Complicated Linear Complicated Linear Patterns using diagrams Patterns using diagrams
and tablesand tables
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MTH 2-13a & MTH 3-13a
Monday 10 April 2023Monday 10 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
MTH 2-13a & MTH 3-13a
Monday 10 April 2023Monday 10 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. We are learning 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
MTH 2-13a & MTH 3-13a
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Apr 10, 2023Apr 10, 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
MTH 2-13a & MTH 3-13a
Monday 10 April 2023Monday 10 April 2023 Created by Mr. Lafferty Created by Mr. Lafferty @[email protected]
Now try Ex1 Ch11 (page 131)
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1919
Square Square NumbersNumbersMTH 2-13a
& MTH 3-13a
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Monday 10 April 2023Monday 10 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
MTH 2-13a & MTH 3-13a
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Monday 10 April 2023Monday 10 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. We are learning 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
MTH 2-13a & MTH 3-13a
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Apr 10, 2023Apr 10, 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 square number
1 3 6 10 15 21 28 36 45 55
5
Which numbers are both square and triangular
numberMTH 2-13a & MTH 3-13a
15
Monday 10 April 2023Monday 10 April 2023 Created by Mr. Lafferty Created by Mr. Lafferty @[email protected]
Now try Ch11 (page 133)
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Special PatternsSpecial Patterns
2323
MTH 2-13a & MTH 3-13a
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MTH 3-13a
Flower Bed Flower Bed InvestigationInvestigation
This is the flower bed shape
This is a slab shape
David is designing a flower bed pattern for the local garden show. He wants to use regular hexagonal shapes for the bed and slabs.
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Flower Bed Flower Bed InvestigationInvestigation
Here is the design that has one flower bed surrounded by slabs.
1 flower bed
6 slabs
How many slabs are
required to surround the flower bed?
MTH 3-13a
Draw this design on the isometric dot paper provided.(Ensure that your paper is
portrait)
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Flower Bed Flower Bed InvestigationInvestigation
Now draw two flower beds surrounded by slabs.
2 flower bed
11 slabs
How many slabs are
required to surround the flower bed?
MTH 3-13a
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Flower Bed Flower Bed InvestigationInvestigation
3 flower bed 16 slabs
Now draw three flower beds surrounded by slabs.
How many slabs are
required to surround the flower bed?
MTH 3-13a
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Flower Bed Flower Bed InvestigationInvestigation
TaskIn 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.
MTH 3-13a
As a group you are required to hand in a single solution for
this task showing all working.
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Flower Bed Flower Bed InvestigationInvestigation
MTH 3-13a
s = 5f + 1
How many hexagonal slabs are needed for 25 flower beds.
126
15If we had 76 available slabs how many flower beds could we surround
2 41 3Number Flower Beds (f)
11 216 16Number of Slabs (s)
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Flower Bed Flower Bed InvestigationInvestigation
Task
What is the maximum number of flower beds you could surround if you had 83 slabs
MTH 3-13a
16
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Flower Bed Flower Bed InvestigationInvestigation
Homework
Now align the flower beds vertically and
investigate if the formula is still the same?
MTH 3-13a
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Vertical Flower Bed Vertical Flower Bed InvestigationInvestigationMTH
3-13a
2 41 3Number Flower Beds (f)
10 186 14Number of Slabs (s)
s = 4f + 2
