Download Simple Linear Patterns using diagrams and tables

www.mathsrevision.com
National 4
EF 1.1e
Simple Linear Patterns
using diagrams and tables
Square Numbers
Triangular Numbers
Simple Linear Patterns
Harder Linear Patterns
Starter Questions
www.mathsrevision.com
National 4
EF 1.1e
Q1.
Calculate Area and perimeter
Q2.
30% of 200
Q3.
(25)  (20)
Q4.
If a = 1 , b = 2 and c = 4
Find
c - ab
2
3cm
5cm
4cm
2cm
www.mathsrevision.com
National 4
EF 1.1e
Simple Linear Patterns
using diagrams and tables
Learning Intention
1. Using tables to help us
come up with formulae for
Simple Linear Patterns
using diagrams and tables.
Success Criteria
1. Construct tables.
2. Find the difference value
in patterns.
3. Using the difference value
to write down a formula.
Simple Linear Patterns
using diagrams and tables
www.mathsrevision.com
National 4
EF 1.1e
In an internet café 3 surfers can sit round a
triangular table.
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
www.mathsrevision.com
National 4
EF 1.1e
1 Table
Step 1 :
2 Tables
Fill
empty
boxes
3 Tables
Number of Tables
1
2
3
4
5
Number of Surfers
3
6
9
12
15
3
3
3
3
Step 2 : Find difference
Same difference
linear pattern
What is the
formula
www.mathsrevision.com
National 4
EF 1.1e
Simple Linear Patterns
using diagrams and tables
Number of Tables
1
2
3
4
5
Number of Surfers
3
6
9
12
15
3
3
3
3
Can you write down formula connecting
the number of surfers and the number of tables.
HINT : Let the number of surfers be the letter S
and the number of tables be the letter T
Step 3 :
S=3xT
S = 3T
www.mathsrevision.com
National 4
EF 1.1e
Simple Linear Patterns
using diagrams and tables
Key-Points
Write down the 3 main steps
1.
Make a table
2.
Find the difference
3.
Use the difference to write
down the formula
www.mathsrevision.com
National 4
EF 1.1e
Simple Linear Patterns
using diagrams and tables
Now try Ex 1
Ch 17 (Page 205)
Complicated Linear Patterns
using diagrams and tables
www.mathsrevision.com
National 4
EF 1.1e
Q1. Calculate Area and perimeter
6cm
Q2. 32% of 200
10cm
7cm
3cm
Q3.
(25)  (20)
www.mathsrevision.com
National 4
EF 1.1e
Complicated Linear Patterns
using diagrams and tables
Learning Intention
1. Using tables to help us
come up with formulae for
complicated Linear
Patterns using diagrams
and tables.
Success Criteria
1. Construct tables.
2. Find the difference value
in patterns.
3. Work out correction factor
4. Using the difference value
to write down a formula
connecting table values.
National 4
EF 1.1e
Complicated Linear Patterns
using diagrams and tables
www.mathsrevision.com
A pattern is made up of pentagons.
Pattern 1
Pattern 2
Pattern 3
Task : Find a formula connecting
the Pattern number and the number of sides.
Complicated Linear Patterns
using diagrams and tables
www.mathsrevision.com
National 4
EF 1.1e
Pattern 1
Step 1 :
Pattern 2
Fill empty
boxes
Pattern 3
Pattern Number (P)
1
2
3
4
5
Number of Sides (S)
5
9
13
17
21
4
4
4
4
Step 2 : Find difference
Same difference
linear pattern
What is the
formula
www.mathsrevision.com
National 4
EF 1.1e
Complicated Linear Patterns
using diagrams and tables
Pattern Number (P)
1
2
3
4
Number of Sides (S)
5
9
13
17 21
4
4
4
5
4
Can you write down formula connecting
the Pattern number and the number of Sides.
Find a number
Step 3 :
so formula
Part of the Formula S = 4 x P
works
Step 4 :
Correction factor “add on 1” S = 4P + 1
www.mathsrevision.com
National 4
EF 1.1e
Complicated Linear Patterns
using diagrams and tables
Key-Points
Write down the 4 main steps
1.
Make a table
2.
Find the difference
3.
Write down part of formula
4.
Find the correction factor and
then write down the full formula
www.mathsrevision.com
National 4
EF 1.1e
Complicated Linear Patterns
using diagrams and tables
Now try Ex 2
Ch 17 (Page 209)
Starter Questions
National 4
EF 1.1e
www.mathsrevision.com
1.
Calculate the area of the following shape.
6 cm
10 cm
Q2. Find the missing angle.
114
o
Q.3 Calculate
(a)
-16 -12 - 6
Thursday, 04 May 2017
(b) (-9) x (5)
Created by Mr. Lafferty
@www.mathsrevision.com
(c) (-22) x (-11)  2
16
Square Numbers
www.mathsrevision.com
National 4
EF 1.1e
Learning Intention
Success Criteria
1. To explain what a square
number is.
1. To understand what a square
number is.
2. Calculate the first 10 square
numbers.
Thursday, 04 May 2017
Created by Mr. Lafferty
@www.mathsrevision.com
17
Square Numbers
www.mathsrevision.com
National 4
EF 1.1e
Write down
the next
square number
1
12
4
22
9
32
16
42
Write down the first 10 square numbers.
1 4 9 16 25 36 49 64 81 100
4-May-17
Created by Mr.Lafferty Math Dept
Square Numbers
www.mathsrevision.com
National 4
EF 1.1e
Now try
Extension Booklet
3E (page 95)
Thursday, 04 May 2017
Created by Mr. Lafferty
@www.mathsrevision.com
19
Starter Questions
National 4
EF 1.1e
www.mathsrevision.com
1.
Calculate the area of the following shape.
8 cm
6 cm
Q2. Find the missing angle.
122
o
Q.3 Calculate
(a)
-16 +12  4
Thursday, 04 May 2017
(b) (4) x (-2)
Created by Mr. Lafferty
@www.mathsrevision.com
(c) (4) x (-9)  2
20
Triangular Numbers
www.mathsrevision.com
National 4
EF 1.1e
Learning Intention
1. To explain what a
triangular number is.
Success Criteria
1. To understand what a
triangular number is.
2. Calculate the first 10
triangular numbers.
Thursday, 04 May 2017
Created by Mr. Lafferty
@www.mathsrevision.com
21
www.mathsrevision.com
Which numbers are
square and
Triangular and squareboth
Numbers
triangular number
National 4
EF 1.1e Write down the next
triangular number
1
3
2
6
3
15
10
4
5
Write down the first 10 triangular numbers.
1 3 6 10 15 21 28 36 45 55
4-May-17
Created by Mr.Lafferty Math Dept
Special Patterns
www.mathsrevision.com
National 4
EF 1.1e
Now try
Extension Booklet
4E (page 97)
Thursday, 04 May 2017
Created by Mr. Lafferty
@www.mathsrevision.com
23