# Simple Linear Patterns Harder Linear Patterns Triangular Numbers Square Numbers MTH 2-13a & MTH 3-13a Simple Linear Patterns using diagrams and tables.

## Presentation on theme: "Simple Linear Patterns Harder Linear Patterns Triangular Numbers Square Numbers MTH 2-13a & MTH 3-13a Simple Linear Patterns using diagrams and tables."— Presentation transcript:

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

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 MTH 2-13a & MTH 3-13a

Simple Linear Patterns using diagrams and tables www.mathsrevision.com Learning Intention Success Criteria 1.Construct tables. 1.We are learning how tables can help us to come up with formulae for Simple Linear Patterns. 2.Find the difference value in patterns. 3.Using the difference value to write down a formula. MTH 2-13a & 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. MTH 2-13a & MTH 3-13a

www.mathsrevision.com Simple Linear Patterns using diagrams and tables 1 Table3 Tables2 Tables 24513Number of Tables 6121539Number of Surfers Step 1 : Fill empty boxes 3333 Same difference linear pattern What is the formula Step 2 : Find difference MTH 2-13a & MTH 3-13a

www.mathsrevision.com Simple Linear Patterns using diagrams and tables 24513Number of Tables 6121539Number of Surfers 3333 Can you write down 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 Step 3 : MTH 2-13a & MTH 3-13a

www.mathsrevision.com 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 MTH 2-13a & MTH 3-13a

Now try Ex 3 Ch11 (Page 135) Simple Linear Patterns using diagrams and tables www.mathsrevision.com MTH 2-13a & 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 MTH 2-13a & MTH 3-13a

Complicated Linear Patterns using diagrams and tables www.mathsrevision.com Learning Intention Success Criteria 1.Construct tables. 1.We are learning how tables can help us come up with formulae for complicated Linear Patterns. 2.Find the difference value in patterns. 3.Calculate correction factor 4.Use the difference value to write down a formula connecting the table values. MTH 2-13a & MTH 3-13a

www.mathsrevision.com A internet café decides to change its table design to. 1 Table 3 Tables 2 Tables Task :Find a formula connecting the number of tables and the number of surfers. Complicated Linear Patterns using diagrams and tables MTH 2-13a & MTH 3-13a

www.mathsrevision.com 24513Number of Tables 6101248Number of Surfers Step 1 : Fill empty boxes 2222 Same difference linear pattern What is the formula 1 Table 3 Tables 2 Tables Complicated Linear Patterns using diagrams and tables Step 2 : Find difference MTH 2-13a & MTH 3-13a

www.mathsrevision.com 24513Number of Tables 6101248Number of Surfers 2222 Can you write down formula connecting the number of surfers and the number of tables. S = 2T + 2 Complicated Linear Patterns using diagrams and tables S = 2 x T Part of the Formula Correction factor add on 2 Find a number so formula works Step 3 : Step 4 : MTH 2-13a & MTH 3-13a

www.mathsrevision.com Key-Points Write down the 4 main steps 1.Make a 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 MTH 2-13a & MTH 3-13a

Now try Ex 4 Ch11 (Page 137) Complicated Linear Patterns using diagrams and tables www.mathsrevision.com MTH 2-13a & MTH 3-13a

Tuesday, 10 June 2014Tuesday, 10 June 2014Tuesday, 10 June 2014Tuesday, 10 June 2014Created by Mr. Lafferty @www.mathsrevision.com Starter Questions 10 cm www.mathsrevision.com 6 cm 114 o 16 MTH 2-13a & MTH 3-13a

Tuesday, 10 June 2014Tuesday, 10 June 2014Tuesday, 10 June 2014Tuesday, 10 June 2014Created by Mr. Lafferty @www.mathsrevision.com Learning Intention Success Criteria 1.To understand what a square number is. 1.We are learning what a square number is. 2.Calculate the first 10 square numbers. www.mathsrevision.com Square Numbers 17 MTH 2-13a & MTH 3-13a

www.mathsrevision.com 10-Jun-14Created by Mr.Lafferty Math Dept Square Numbers 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 MTH 2-13a & MTH 3-13a

Tuesday, 10 June 2014Tuesday, 10 June 2014Tuesday, 10 June 2014Tuesday, 10 June 2014Created by Mr. Lafferty @www.mathsrevision.com Now try Ex1 Ch11 (page 131) www.mathsrevision.com 19 Square Numbers MTH 2-13a & MTH 3-13a

www.mathsrevision.com Tuesday, 10 June 2014Tuesday, 10 June 2014Tuesday, 10 June 2014Tuesday, 10 June 2014Created by Mr. Lafferty @www.mathsrevision.com Starter Questions 6 cm www.mathsrevision.com 8 cm 122 o 20 MTH 2-13a & MTH 3-13a

www.mathsrevision.com Tuesday, 10 June 2014Tuesday, 10 June 2014Tuesday, 10 June 2014Tuesday, 10 June 2014Created by Mr. Lafferty @www.mathsrevision.com Learning Intention Success Criteria 1.To understand what a triangular number is. triangular number is. 1.We are learning what a triangular number is. 2.Calculate the first 10 triangular numbers. www.mathsrevision.com Triangular Numbers 21 MTH 2-13a & MTH 3-13a

www.mathsrevision.com 10-Jun-14Created by Mr.Lafferty Math Dept Triangular and square Numbers www.mathsrevision.com 136 10 234234 Write down the first 10 triangular numbers. Write down the next square number 1 3 6 10 15 21 28 36 45 55 5 Which numbers are both square and triangular number MTH 2-13a & MTH 3-13a 15

Tuesday, 10 June 2014Tuesday, 10 June 2014Tuesday, 10 June 2014Tuesday, 10 June 2014Created by Mr. Lafferty @www.mathsrevision.com Now try Ch11 (page 133) www.mathsrevision.com Special Patterns 23 MTH 2-13a & MTH 3-13a

www.mathsrevision.com MTH 3-13a 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.

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? MTH 3-13a Draw this design on the isometric dot paper provided. (Ensure that your paper is portrait)

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? 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? 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. MTH 3-13a As a group you are required to hand in a single solution for this task showing all working.

www.mathsrevision.com Flower Bed Investigation MTH 3-13a 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 24 1 3 Number Flower Beds (f) 11 21 616 Number of Slabs (s)

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

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

www.mathsrevision.com Vertical Flower Bed Investigation MTH 3-13a 2413 Number Flower Beds (f) 1018614 Number of Slabs (s) s = 4f + 2

Download ppt "Simple Linear Patterns Harder Linear Patterns Triangular Numbers Square Numbers MTH 2-13a & MTH 3-13a Simple Linear Patterns using diagrams and tables."

Similar presentations