slide1 l.
Download
Skip this Video
Loading SlideShow in 5 Seconds..
Simple Linear Patterns PowerPoint Presentation
Download Presentation
Simple Linear Patterns

Loading in 2 Seconds...

play fullscreen
1 / 32

Simple Linear Patterns - PowerPoint PPT Presentation


  • 177 Views
  • Uploaded on

Simple Linear Patterns using diagrams and tables. MTH 2-13a & MTH 3-13a. Square Numbers. Triangular Numbers. Simple Linear Patterns. www.mathsrevision.com. Harder Linear Patterns. Flower Bed Investigation. 3cm. 5cm. 4cm. 2cm. MTH 2-13a & MTH 3-13a. Starter Questions.

loader
I am the owner, or an agent authorized to act on behalf of the owner, of the copyrighted work described.
capcha
Download Presentation

PowerPoint Slideshow about 'Simple Linear Patterns' - jana


An Image/Link below is provided (as is) to download presentation

Download Policy: Content on the Website is provided to you AS IS for your information and personal use and may not be sold / licensed / shared on other websites without getting consent from its author.While downloading, if for some reason you are not able to download a presentation, the publisher may have deleted the file from their server.


- - - - - - - - - - - - - - - - - - - - - - - - - - E N D - - - - - - - - - - - - - - - - - - - - - - - - - -
Presentation Transcript
slide1

Simple Linear Patterns using diagrams and tables

MTH 2-13a

& MTH 3-13a

Square Numbers

Triangular Numbers

Simple Linear Patterns

www.mathsrevision.com

Harder Linear Patterns

Flower Bed Investigation

starter questions

3cm

5cm

4cm

2cm

MTH 2-13a

& MTH 3-13a

Starter Questions

Q1. Calculate Area and perimeter

Q2. 30% of 200

Q3.

www.mathsrevision.com

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

Find

simple linear patterns using diagrams and tables

MTH 2-13a

& MTH 3-13a

Simple Linear Patterns using diagrams and tables

Learning Intention

Success Criteria

  • Construct tables.
  • We are learning how tables can help us to come up with formulae for Simple Linear Patterns.
  • Find the difference value in patterns.

www.mathsrevision.com

  • Using the difference value
  • to write down a formula.
slide4

1 Table

2 Tables

3 Tables

Task : Find a formula connecting

the number of tables and the number of surfers.

Simple Linear Patterns using diagrams and tables

MTH 2-13a

& MTH 3-13a

In an internet café 3surfers can sit round a triangular table.

www.mathsrevision.com

slide5

2

4

5

1

3

6

3

9

1 Table

2 Tables

3 Tables

3

3

3

3

Simple Linear Patterns using diagrams and tables

MTH 2-13a

& MTH 3-13a

Fill empty boxes

Number of Tables

Step 1 :

Number of Surfers

12

15

www.mathsrevision.com

Step 2 : Find difference

What is the formula

Same difference

linear pattern

slide6

Number of Tables

Number of Surfers

12

15

2

4

5

3

3

6

9

1

3

3

3

3

HINT : Let the number of surfers be the letter S

and the number of tables be the letter T

Step 3 :

Can you write down formula connecting

the number of surfers and the number of tables.

Simple Linear Patterns using diagrams and tables

MTH 2-13a

& MTH 3-13a

www.mathsrevision.com

S = 3 x T

S = 3T

slide7

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

slide8

Simple Linear Patterns using diagrams and tables

MTH 2-13a

& MTH 3-13a

Now try Ex 3

Ch11 (Page 135)

www.mathsrevision.com

slide9

6cm

10cm

7cm

3cm

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.

complicated linear patterns using diagrams and tables

MTH 2-13a

& MTH 3-13a

Complicated Linear Patterns using diagrams and tables

Learning Intention

Success Criteria

  • Construct tables.
  • We are learning how tables can help us come up with formulae for complicated Linear Patterns.
  • Find the difference value in patterns.

www.mathsrevision.com

  • Calculate correction factor

4. Use the difference value

to write down a formula

connecting the table values.

complicated linear patterns using diagrams and tables11

3 Tables

1 Table

2 Tables

Task : Find a formula connecting

the number of tables and the number of surfers.

MTH 2-13a

& MTH 3-13a

A internet café decides to change it’s table design to.

Complicated Linear Patterns using diagrams and tables

www.mathsrevision.com

complicated linear patterns using diagrams and tables12

3 Tables

1 Table

2 Tables

2

4

5

1

3

6

4

8

2

2

2

2

MTH 2-13a

& MTH 3-13a

Complicated Linear Patterns using diagrams and tables

Fill empty boxes

Number of Tables

Step 1 :

Number of Surfers

10

12

www.mathsrevision.com

Step 2 : Find difference

What is the formula

Same difference

linear pattern

complicated linear patterns using diagrams and tables13

Number of Tables

Number of Surfers

10

12

6

4

8

2

4

5

1

3

2

2

2

2

S = 2 x T

Part of the Formula

Can you write down formula connecting

the number of surfers and the number of tables.

MTH 2-13a

& MTH 3-13a

Complicated Linear Patterns using diagrams and tables

www.mathsrevision.com

Find a number

so formula works

Step 3 :

Step 4 :

S = 2T + 2

Correction factor “add on 2”

complicated linear patterns using diagrams and tables14

MTH 2-13a

& MTH 3-13a

Complicated Linear Patterns using diagrams and tables

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

slide15

Complicated Linear Patterns using diagrams and tables

MTH 2-13a

& MTH 3-13a

Now try Ex 4

Ch11 (Page 137)

www.mathsrevision.com

starter questions16

114o

MTH 2-13a

& MTH 3-13a

Starter Questions

6 cm

10 cm

www.mathsrevision.com

Created by Mr. Lafferty @www.mathsrevision.com

slide17

Square Numbers

MTH 2-13a

& MTH 3-13a

Learning Intention

Success Criteria

  • To understand what a square number is.
  • We are learning what a square number is.
  • Calculate the first 10 square numbers.

www.mathsrevision.com

Created by Mr. Lafferty @www.mathsrevision.com

square numbers

Write down the next square number

MTH 2-13a

& MTH 3-13a

Square Numbers

1 4 9

16

42

12 22 32

www.mathsrevision.com

Write down the first 10 square numbers.

1 4 9 16 25 36 49 64 81 100

Created by Mr.Lafferty Math Dept

slide19

Square Numbers

MTH 2-13a

& MTH 3-13a

Now try Ex1

Ch11 (page 131)

www.mathsrevision.com

Created by Mr. Lafferty @www.mathsrevision.com

starter questions20

122o

MTH 2-13a

& MTH 3-13a

Starter Questions

8 cm

6 cm

www.mathsrevision.com

Created by Mr. Lafferty @www.mathsrevision.com

slide21

Triangular Numbers

MTH 2-13a

& MTH 3-13a

Learning Intention

Success Criteria

  • To understand what a
  • triangular number is.
  • We are learning what a triangular number is.
  • Calculate the first 10 triangular numbers.

www.mathsrevision.com

Created by Mr. Lafferty @www.mathsrevision.com

triangular and square numbers

Which numbers are both square and triangular number

Write down the next square number

MTH 2-13a

& MTH 3-13a

Triangular and square Numbers

15

1 3 6 10

www.mathsrevision.com

2 3 4

5

Write down the first 10 triangular numbers.

1 3 6 10 15 21 28 36 45 55

Created by Mr.Lafferty Math Dept

slide23

Special Patterns

MTH 2-13a

& MTH 3-13a

Now try

Ch11 (page 133)

www.mathsrevision.com

Created by Mr. Lafferty @www.mathsrevision.com

slide24

Flower Bed Investigation

MTH

3-13a

David is designing a flower bed pattern for the local garden show.

He wants to use regular hexagonal shapes for the bed and slabs.

This is the flower bed shape

www.mathsrevision.com

This is a slab shape

slide25

Draw this design on the

isometric dot paper provided.

(Ensure that your paper is portrait)

Flower Bed Investigation

MTH

3-13a

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

How many slabs are required to surround the flower bed?

www.mathsrevision.com

1 flower bed

6 slabs

slide26

Flower Bed Investigation

MTH

3-13a

Now draw two flower beds surrounded by slabs.

How many slabs are required to surround the flower bed?

www.mathsrevision.com

2 flower bed

11 slabs

slide27

Flower Bed Investigation

MTH

3-13a

How many slabs are required to surround the flower bed?

Now draw three flower beds surrounded by slabs.

16 slabs

3 flower bed

www.mathsrevision.com

slide28

Flower Bed Investigation

MTH

3-13a

Task

In 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.

www.mathsrevision.com

As a group you are required to hand in a single solution for this task showing all working.

slide29

Flower Bed Investigation

MTH

3-13a

Number Flower Beds (f)

1

2

3

4

Number of Slabs (s)

6

11

16

21

www.mathsrevision.com

s = 5f + 1

126

How many hexagonal slabs are needed for 25 flower beds.

If we had 76 available slabs how many flower beds could we surround

15

slide30

Flower Bed Investigation

MTH

3-13a

Task

What is the maximum number of flower beds

you could surround if you had 83 slabs

www.mathsrevision.com

16

slide31

Flower Bed Investigation

MTH

3-13a

Homework

Now align the flower beds vertically

and

investigate if the formula is still the same?

www.mathsrevision.com

slide32

Vertical Flower Bed Investigation

MTH

3-13a

Number Flower Beds (f)

1

2

3

4

Number of Slabs (s)

6

10

14

18

www.mathsrevision.com

s = 4f + 2