MTH 3-13a Linear Patterns Linear Patterns Simple Linear Patterns Complicated Linear Patterns Simple…

MTH 3-13a

Linear PatternsLinear Patternsww

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Simple Linear Patterns

Complicated Linear PatternsSimple Linear Graphs

Linear Graphs

Sequences & Patterns

Flower Beds

MTH 3-13a

Starter QuestionsStarter Questions

Sunday 14 May 2023Sunday 14 May 2023 Created by Mr. Lafferty Created by Mr. Lafferty @[email protected] 22

Q2. Find the missing angle.

Q.3 Calculate -16 -12- 6

1. Calculate the area of the following shape.

10 cm

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6 cm

114o

MTH 3-13a

Sunday 14 May 2023Sunday 14 May 2023 Created by Mr. Lafferty Created by Mr. Lafferty @[email protected] 33

Learning IntentionLearning Intention Success CriteriaSuccess Criteria

1.1. To understand what square To understand what square and triangular numbers are.and triangular numbers are.

1. We are revising square and triangular number.

2.2. Calculate the first 10 Calculate the first 10 square and triangular square and triangular numbers.numbers.

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mSquare and Triangular NumbersSquare and Triangular Numbers

MTH 3-13a

Square NumbersSquare Numbers

May 14, 2023May 14, 2023 Created by Mr.Lafferty Math DeptCreated by Mr.Lafferty Math Deptwww.

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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 3-13a

Triangular and square NumbersTriangular and square Numbers

May 14, 2023May 14, 2023 Created by Mr.Lafferty Math DeptCreated by Mr.Lafferty Math Deptwww.

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1 3 6 102 3 4

Write down the first 10 triangular numbers.

Write down the next triangular

number

1 3 6 10 15 21 28 36 45 55

5

Which numbers are both square and triangular

number

15

MTH 3-13a

14 May 202314 May 2023 Created by Mr. Lafferty Maths Dept.Created by Mr. Lafferty Maths Dept.

Now try TJ3b

Ex 1Ch4 (page 36)

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mLinear PatternsLinear Patterns

MTH 3-13a

Starter QuestionsStarter Questionsww

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com Q1. Calculate Area and perimeter

Q4. If a = 1 , b = 2 and c = 4

Find

Q3.

Q2. 30% of 200

( 25) ( 20)

5cm

2cm

3cm

4cm

2c - ab

MTH 3-13a

Simple Linear Patterns using Simple Linear Patterns using diagrams and tablesdiagrams and tables

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m Learning IntentionLearning Intention Success CriteriaSuccess Criteria

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 3-13a

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mSimple 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 3-13a

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1 Table 3 Tables2 Tables

3For Linear Patterns the difference is the same

each time

Find the difference

9 12 15

MTH 3-13a

9 12 15

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Can you write down the formula connectingthe number of surfers and the number of tables.

S = 3 x TS = 3T

HINT : Let the number of surfers be the letter S and the number of tables be the letter T

MTH 3-13a

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Key-PointsKey-Points1. Fill in the table2. Find the difference3. Use the difference to write

down the formula

MTH 3-13a


Now try TJ3b

Ex 2 Q1 to Q5Ch4 (page 38)

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MTH 3-13a

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310 2

3

1

4

2

6

5xx 00 11 22 33yy 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 3-13a


Now try TJ3b


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MTH 3-13a

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mComplicated 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

6cm7cm

MTH 3-13a

Complicated Linear Patterns using Complicated Linear Patterns using diagrams and tablesdiagrams and tables

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m Learning IntentionLearning Intention Success CriteriaSuccess Criteria

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 3-13a

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m 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 Patterns Complicated Linear Patterns using diagrams and tablesusing diagrams and tables

MTH 3-13a

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4

Pattern 1 Pattern 3Pattern 2


Find differenceFor Linear Patterns the difference is the same

each time

13 17 21

Find a formula connecting the Pattern Number (P)

and the Number of Slides (S)

MTH 3-13a

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S = 4P + 1

Complicated Linear Patterns using Complicated Linear Patterns using diagrams and tablesdiagrams and tables

Correction factor “add on 1”

MTH 2-13a & MTH 3-13a

13 17 21

S = 4PPart of the formula

MTH 3-13a

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m Key-PointsKey-Points1. Fill in the table2. Find the difference3. Write down part of formula


4. Find the correction factor and then write down the full formula

MTH 3-13a


Now try TJ3b


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MTH 3-13a

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xx 00 11 22 33yy 11 44 77 11

00(0,1)

(1,4) (3,10)(2,7)

Complicated linear patterns always give a straight line NOT through the origin310 2

3

1

4

2

65

y

x

78

109

y = 3x + 1

MTH 3-13a


Now try TJ3b

Ex 3 Q7 Q8Ch4 (page 44)

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Have you updated your Learning Log ?

Are you on Target ?I can ?

MTH 3-13a

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mFlower 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.

MTH 3-13a

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Here is the design that has one flower bed surrounded by slabs.

1 flower bed6 slabs

How many slabs are

required to surround the flower bed?

Draw this design on the isometric dot paper

provided.(Ensure that your paper is

portrait)

MTH 3-13a

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Now draw two flower beds surrounded by slabs.

2 flower bed11 slabs

How many slabs are


MTH 3-13a

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3 flower bed 16 slabsNow draw three flower beds surrounded by slabs.

How many slabs are


MTH 3-13a

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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.

As a group you are required to hand in a single solution for

this task showing all working.

MTH 3-13a

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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

11 216 16

MTH 3-13a

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TaskWhat is the maximum number of flower beds

you could surround if you had 83 slabs

16

MTH 3-13a

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Homework

Now align the flower beds vertically and

investigate if the formula is still the same?

MTH 3-13a

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mVertical Flower Bed Vertical Flower Bed


10 186 14

s = 4f + 2

Documents

MTH 3-13a Linear Patterns Linear Patterns Simple Linear Patterns Complicated Linear Patterns Simple…