Linear Patterns Simple Linear Patterns www.mathsrevision.com Level 4+ Simple Linear Patterns Complicated Linear Patterns www.mathsrevision.com Non Linear Patterns

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

Simple Linear Patterns using diagrams and tables Level 4+ Learning Intention Success Criteria We are learning to use tables to help us come up with formulae for Simple Linear Patterns. Find the difference in a pattern. Write down formula www.mathsrevision.com

Simple Linear Patterns using diagrams and tables Level 4+ In an internet café 3 surfers can sit round a triangular table. 1 Table 3 Tables 2 Tables www.mathsrevision.com Task : Find a formula connecting the number of tables and the number of surfers.

Simple Linear Patterns using diagrams and tables Level 4+ 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 www.mathsrevision.com 3 3 3 3 Step 2 : Find difference Same difference linear pattern What is the formula

Simple Linear Patterns using diagrams and tables Level 4+ 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. www.mathsrevision.com S = 3 x T S = 3T

Simple Linear Patterns using diagrams and tables Level 4+ 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

Simple Linear Patterns using diagrams and tables Level 4+ Now try TJ4+ Ex 17.1 Ch17 (page 132) www.mathsrevision.com 16-May-19 Created by Mr. Lafferty Maths Dept.

Complicated Linear Patterns using diagrams and tables Level 4+ Q1. Calculate Area and perimeter 10cm 3cm 6cm 7cm Q2. 32% of 200 www.mathsrevision.com Q3.

Complicated Linear Patterns using diagrams and tables Level 4+ Learning Intention Success Criteria 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 www.mathsrevision.com 3. Write down formula using steps 1 & 2 above

Complicated Linear Patterns using diagrams and tables Level 4+ Count as 1 side A pattern is made up of pentagons. www.mathsrevision.com 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 Level 4+ Fill empty boxes 1 Table 3 Tables 2 Tables Step 1 : Pattern Number (P) 1 2 3 4 5 Number of Sides (S) 5 9 13 17 21 www.mathsrevision.com 4 4 4 4 Step 2 : Find difference What is the formula Same difference linear pattern

Complicated Linear Patterns using diagrams and tables Level 4+ 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. www.mathsrevision.com Find a number so formula works Step 3 : Step 4 : S = 4P + 1 Correction factor “add on 1”

Complicated Linear Patterns using diagrams and tables Level 4+ 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

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

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

Simple Linear Patterns using diagrams and tables Level 4+ Now try TJ4+ Ex 17.2 Ch17 (page 133) www.mathsrevision.com 16-May-19 Created by Mr. Lafferty Maths Dept.

Make up your own linear pattern table Non Linear Patterns Level 4+ Make up your own linear pattern table and write down formula. www.mathsrevision.com

Non Linear Patterns www.mathsrevision.com Learning Intention Level 4+ Learning Intention Success Criteria We are investigating non linear patterns. 1. Use you knowledge to come up with a formula for various Non Patterns. www.mathsrevision.com

Complicated Linear Patterns using diagrams and tables Level 4+ nth term = n2 Look at the pattern below www.mathsrevision.com Pattern 1 Pattern 3 Pattern 2 Task : Find a formula connecting the Pattern number and the number of circles.

Complicated Linear Patterns using diagrams and tables nth = (n+2)2 – n2 Complicated Linear Patterns using diagrams and tables Level 4+ A pattern is made up of pentagons. www.mathsrevision.com Pattern 1 Pattern 3 Pattern 2 Task : Find a formula connecting the Pattern number and the number of red squares.

Linear Patterns Now try TJ4+ Ex 17.3 Ch17 (page 135) Have you updated your Learning Log ? Linear Patterns Now try TJ4+ Ex 17.3 Ch17 (page 135) www.mathsrevision.com Are you on Target ? I can ? 16-May-19 Created by Mr. Lafferty Maths Dept.