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Simple Linear Patterns

Simple Linear Patterns using diagrams and tables. National 4 EF 1.1e. Square Numbers. Triangular Numbers. www.mathsrevision.com. Simple Linear Patterns. Harder Linear Patterns. 3cm. 5cm. 4cm. 2cm. National 4 EF 1.1e. Starter Questions. Q1. Calculate Area and perimeter.

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Simple Linear Patterns

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

  2. 3cm 5cm 4cm 2cm National 4 EF 1.1e 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

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

  4. 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 National 4 EF 1.1e In an internet café 3surfers can sit round a triangular table. www.mathsrevision.com

  5. 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 National 4 EF 1.1e 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

  6. 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 National 4 EF 1.1e www.mathsrevision.com 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 www.mathsrevision.com 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) www.mathsrevision.com

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

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

  11. 3 Tables 1 Table 2 Tables Task : Find a formula connecting the number of tables and the number of surfers. National 4 EF 1.1e A internet café decides to change it’s table design to. Complicated Linear Patterns using diagrams and tables www.mathsrevision.com

  12. 3 Tables 1 Table 2 Tables 2 4 5 1 3 6 4 8 2 2 2 2 National 4 EF 1.1e 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

  13. Number of Tables Number of Surfers 11 13 2 4 5 1 3 7 5 9 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. National 4 EF 1.1e Complicated Linear Patterns using diagrams and tables www.mathsrevision.com Find a number so formula works Step 3 : Step 4 : S = 2T + 3 Correction factor “add on 2”

  14. National 4 EF 1.1e 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

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

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

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

  18. Write down the next square number National 4 EF 1.1e 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

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

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

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

  22. Which numbers are both square and triangular number Write down the next square number National 4 EF 1.1e 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

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

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