Linear Patterns Simple Linear Patterns www.mathsrevision.com Complicated Linear Patterns

Starter Questions www.mathsrevision.com 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 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 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 9 12 15 www.mathsrevision.com 3 Find the difference For Linear Patterns the difference is the same each time

Simple Linear Patterns using diagrams and tables Can you write down the formula connecting the number of surfers and the number of tables. Simple Linear Patterns using diagrams and tables 9 12 15 HINT : Let the number of surfers be the letter S and the number of tables be the letter T www.mathsrevision.com S = 3 x T S = 3T

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

Created by Mr. Lafferty Maths Dept. Linear Patterns Now try TJ2b Ex 1 Ch14 (page 132) www.mathsrevision.com 22-Apr-19 Created by Mr. Lafferty Maths Dept.

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

Complicated Linear Patterns using diagrams and tables 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 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 Find a formula connecting the Pattern Number (P) and the Number of Slides (S) Complicated Linear Patterns using diagrams and tables Pattern 1 Pattern 3 Pattern 2 13 17 21 www.mathsrevision.com 4 Find difference For Linear Patterns the difference is the same each time

Complicated Linear Patterns using diagrams and tables Can you write down formula connecting the Pattern number and the number of Sides. 13 17 21 S = 4P Part of the formula www.mathsrevision.com S = 4P + 1 Correction factor “add on 1”

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

Created by Mr. Lafferty Maths Dept. Linear Patterns Now try TJ2b Ex 2 Ch14 (page 136) www.mathsrevision.com 22-Apr-19 Created by Mr. Lafferty Maths Dept.