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Simple Linear Patterns using diagrams and tables

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Presentation on theme: "Simple Linear Patterns using diagrams and tables"— Presentation transcript:

1 Simple Linear Patterns using diagrams and tables
National 4 EF 1.1e Square Numbers Triangular Numbers Simple Linear Patterns Harder Linear Patterns

2 Starter Questions www.mathsrevision.com
National 4 EF 1.1e Q1. Calculate Area and perimeter 5cm 2cm 3cm 4cm Q2. 30% of 200 Q3. Q4. If a = 1 , b = 2 and c = 4 Find

3 Simple Linear Patterns using diagrams and tables
National 4 EF 1.1e Learning Intention Success Criteria Using tables to help us come up with formulae for Simple Linear Patterns using diagrams and tables. Construct tables. Find the difference value in patterns. Using the difference value to write down a formula.

4 Simple Linear Patterns using diagrams and tables
National 4 EF 1.1e In an internet café 3 surfers can sit round a triangular table. 1 Table 3 Tables 2 Tables Task : Find a formula connecting the number of tables and the number of surfers.

5 Simple Linear Patterns using diagrams and tables
National 4 EF 1.1e 1 Table 3 Tables 2 Tables Fill empty boxes Step 1 : 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

6 Simple Linear Patterns using diagrams and tables
National 4 EF 1.1e HINT : Let the number of surfers be the letter S and the number of tables be the letter T Step 3 : 2 4 5 1 3 Number of Tables 6 12 15 9 Number of Surfers 3 3 3 3 Can you write down formula connecting the number of surfers and the number of tables. S = 3 x T S = 3T

7 Simple Linear Patterns using diagrams and tables
National 4 EF 1.1e 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

8 Simple Linear Patterns using diagrams and tables
National 4 EF 1.1e Now try Ex 1 Ch 17 (Page 205)

9 Complicated Linear Patterns using diagrams and tables
National 4 EF 1.1e Q1. Calculate Area and perimeter 10cm 3cm 6cm 7cm Q2. 32% of 200 Q3.

10 Complicated Linear Patterns using diagrams and tables
National 4 EF 1.1e Learning Intention Success Criteria Using tables to help us come up with formulae for complicated Linear Patterns using diagrams and tables. Construct tables. Find the difference value in patterns. Work out correction factor 4. Using the difference value to write down a formula connecting table values.

11 Complicated Linear Patterns using diagrams and tables
National 4 EF 1.1e A pattern is made up of pentagons. Pattern 1 Pattern 3 Pattern 2 Task : Find a formula connecting the Pattern number and the number of sides.

12 Complicated Linear Patterns using diagrams and tables
National 4 EF 1.1e Fill empty boxes Pattern 1 Pattern 3 Pattern 2 Step 1 : 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 What is the formula Same difference linear pattern

13 Complicated Linear Patterns using diagrams and tables
National 4 EF 1.1e S = 4 x P Part of the Formula 2 4 5 1 3 Pattern Number (P) 9 17 21 13 Number of Sides (S) 4 Can you write down formula connecting the Pattern number and the number of Sides. Find a number so formula works Step 3 : Step 4 : Correction factor “add on 1” S = 4P + 1

14 Complicated Linear Patterns using diagrams and tables
National 4 EF 1.1e 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

15 Complicated Linear Patterns using diagrams and tables
National 4 EF 1.1e Now try Ex 2 Ch 17 (Page 209)

16 Created by Mr. Lafferty @www.mathsrevision.com
Starter Questions National 4 EF 1.1e 6 cm 10 cm 114o Wednesday, 19 April 2017 Created by Mr.

17 Created by Mr. Lafferty @www.mathsrevision.com
Square Numbers National 4 EF 1.1e Learning Intention Success Criteria To explain what a square number is. To understand what a square number is. Calculate the first 10 square numbers. Wednesday, 19 April 2017 Created by Mr.

18 Square Numbers Write down the next square number National 4 EF 1.1e 16 1 4 9 42 Write down the first 10 square numbers. 19-Apr-17 Created by Mr.Lafferty Math Dept

19 Created by Mr. Lafferty @www.mathsrevision.com
Square Numbers National 4 EF 1.1e Now try Extension Booklet 3E (page 95) Wednesday, 19 April 2017 Created by Mr.

20 Created by Mr. Lafferty @www.mathsrevision.com
Starter Questions National 4 EF 1.1e 8 cm 6 cm 122o Wednesday, 19 April 2017 Created by Mr.

21 Created by Mr. Lafferty @www.mathsrevision.com
Triangular Numbers National 4 EF 1.1e Learning Intention Success Criteria To explain what a triangular number is. To understand what a triangular number is. Calculate the first 10 triangular numbers. Wednesday, 19 April 2017 Created by Mr.

22 Triangular and square Numbers
Which numbers are both square and triangular number Triangular and square Numbers Write down the next triangular number National 4 EF 1.1e 15 2 3 4 5 Write down the first 10 triangular numbers. 19-Apr-17 Created by Mr.Lafferty Math Dept

23 Created by Mr. Lafferty @www.mathsrevision.com
Special Patterns National 4 EF 1.1e Now try Extension Booklet 4E (page 97) Wednesday, 19 April 2017 Created by Mr.


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