1. MTH 3-13a Linear Patterns Linear Patterns www.mathsrevision.com Simple Linear Patterns Complicated Linear Patterns Simple Linear Graphs Linear Graphs Sequences & Patterns Flower Beds

2. MTH 3-13a Starter Questions Sunday, 20 March 2016Sunday, 20 March 2016Sunday, 20 March 2016Sunday, 20 March 2016Created by Mr. Lafferty @www.mathsrevision.com 2 10 cm www.mathsrevision.com 6 cm 114 o

3. MTH 3-13a Sunday, 20 March 2016Sunday, 20 March 2016Sunday, 20 March 2016Sunday, 20 March 2016 Created by Mr. Lafferty @www.mathsrevision.com 3 Learning Intention Success Criteria 1.To understand what square and triangular numbers are. 1.We are revising square and triangular number. 2.Calculate the first 10 square and triangular numbers. www.mathsrevision.com Square and Triangular Numbers

4. MTH 3-13a Square Numbers 20-Mar-16Created by Mr.Lafferty Math Dept www.mathsrevision.com Write down the first 10 square numbers. 122232122232 1 4 9 16 25 36 49 64 81 100 Write down the next square number 149149 16 4242

5. MTH 3-13a Triangular and square Numbers 20-Mar-16Created by Mr.Lafferty Math Dept www.mathsrevision.com 136 10 234234 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

6. MTH 3-13a 20-Mar-16Created by Mr. Lafferty Maths Dept. Now try TJ3b Ex 1 Ch4 (page 36) www.mathsrevision.com Linear Patterns

7. MTH 3-13a Starter Questions Starter Questions www.mathsrevision.com Q1.Calculate Area and perimeter Q4.If a = 1, b = 2 and c = 4 Find Q3. Q2.30% of 200 5cm 2cm 3cm 4cm

8. MTH 3-13a Simple Linear Patterns using diagrams and tables www.mathsrevision.com Learning Intention Success Criteria 1.Find the difference in a pattern. 1.We are learning to use tables to help us come up with formulae for Simple Linear Patterns. 2.Write down formula

9. MTH 3-13a www.mathsrevision.com Simple Linear Patterns using diagrams and tables In an internet café 3 surfers can sit round a triangular table. 1 Table3 Tables2 Tables Task :Find a formula connecting the number of tables and the number of surfers.

10. MTH 3-13a www.mathsrevision.com Simple Linear Patterns using diagrams and tables 1 Table3 Tables2 Tables 3 For Linear Patterns the difference is the same each time Find the difference 91215

11. MTH 3-13a 91215 www.mathsrevision.com Simple Linear Patterns using diagrams and tables Can you write down the formula connecting the number of surfers and the number of tables. S = 3 x T S = 3T HINT : Let the number of surfers be the letter S and the number of tables be the letter T

12. MTH 3-13a www.mathsrevision.com Simple Linear Patterns using diagrams and tables Key-Points 1.Fill in the table 2.Find the difference 3.Use the difference to write down the formula

13. MTH 3-13a 20-Mar-16Created by Mr. Lafferty Maths Dept. Now try TJ3b Ex 2 Q1 to Q5 Ch4 (page 38) www.mathsrevision.com Linear Patterns

14. MTH 3-13a www.mathsrevision.com Simple Linear Patterns using diagrams and tables 3102 3 1 4 2 6 5 x0123y0246 (0,0) (1,2) (3,6) (2,4) Simple linear patterns always give a straight line through the origin y x y = 2x

15. MTH 3-13a 20-Mar-16Created by Mr. Lafferty Maths Dept. Now try TJ3b Ex 2 Q6 to Q7 Ch4 (page 40) www.mathsrevision.com Linear Patterns

16. MTH 3-13a www.mathsrevision.com Complicated Linear Patterns using diagrams and tables Q1.Calculate Area and perimeter Q3. Q2.32% of 200 10cm 3cm 6cm 7cm

17. MTH 3-13a Complicated Linear Patterns using diagrams and tables www.mathsrevision.com Learning Intention Success Criteria 1.We are learning to use tables to help us come up with formulae for complicated Linear Patterns using diagrams and tables. 1.Find the difference value in patterns. 2.Calculate correction factor 3.Write down formula using steps 1 & 2 above

18. MTH 3-13a www.mathsrevision.com 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. Complicated Linear Patterns using diagrams and tables

19. MTH 3-13a www.mathsrevision.com 4 Pattern 1 Pattern 3 Pattern 2 Complicated Linear Patterns using diagrams and tables Find difference For Linear Patterns the difference is the same each time 131721 Find a formula connecting the Pattern Number (P) and the Number of Slides (S)

20. MTH 3-13a www.mathsrevision.com S = 4P + 1 Complicated Linear Patterns using diagrams and tables Correction factor “add on 1” MTH 2-13a & MTH 3-13a 131721 Can you write down formula connecting the Pattern number and the number of Sides. S = 4P Part of the formula

21. MTH 3-13a www.mathsrevision.com Key-Points 1.Fill in the table 2.Find the difference 3.Write down part of formula Complicated Linear Patterns using diagrams and tables 4.Find the correction factor and then write down the full formula

22. MTH 3-13a 20-Mar-16Created by Mr. Lafferty Maths Dept. Now try TJ3b Ex 3 Q1 to Q6 Ch4 (page 41) www.mathsrevision.com Linear Patterns

23. MTH 3-13a www.mathsrevision.com Simple Linear Patterns using diagrams and tables x0123y14710 (0,1) (1,4) (3,10) (2,7) Complicated linear patterns always give a straight line NOT through the origin 3102 3 1 4 2 6 5 y x 7 8 10 9 y = 3x + 1

24. MTH 3-13a 20-Mar-16Created by Mr. Lafferty Maths Dept. Now try TJ3b Ex 3 Q7 Q8 Ch4 (page 44) www.mathsrevision.com Linear Patterns Have you updated your Learning Log ? Are you on Target ? I can ?

25. MTH 3-13a www.mathsrevision.com Flower Bed Investigation 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.

26. MTH 3-13a www.mathsrevision.com Flower Bed Investigation Here is the design that has one flower bed surrounded by slabs. 1 flower bed 6 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)

27. MTH 3-13a www.mathsrevision.com Flower Bed Investigation Now draw two flower beds surrounded by slabs. 2 flower bed 11 slabs How many slabs are required to surround the flower bed?

28. MTH 3-13a www.mathsrevision.com Flower Bed Investigation 3 flower bed 16 slabs Now draw three flower beds surrounded by slabs. How many slabs are required to surround the flower bed?

29. MTH 3-13a www.mathsrevision.com Flower Bed Investigation 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. As a group you are required to hand in a single solution for this task showing all working.

30. MTH 3-13a www.mathsrevision.com Flower Bed Investigation s = 5f + 1 How many hexagonal slabs are needed for 25 flower beds. 126 15 If we had 76 available slabs how many flower beds could we surround 1121616

31. MTH 3-13a www.mathsrevision.com Flower Bed Investigation Task What is the maximum number of flower beds you could surround if you had 83 slabs 16

32. MTH 3-13a www.mathsrevision.com Flower Bed Investigation Homework Now align the flower beds vertically and investigate if the formula is still the same?

33. MTH 3-13a www.mathsrevision.com Vertical Flower Bed Investigation 1018614 s = 4f + 2