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

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

Simple Linear Patterns using diagrams and tables National 4 EF 1.1e 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 National 4 EF 1.1e 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 National 4 EF 1.1e 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 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

Simple Linear Patterns using diagrams and tables National 4 EF 1.1e Now try Ex 1 Ch 17 (Page 205) www.mathsrevision.com

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

Complicated Linear Patterns using diagrams and tables National 4 EF 1.1e Learning Intention Success Criteria Using tables to help us come up with formulae for complicated Linear Patterns using diagrams and tables. Construct 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.

Complicated Linear Patterns using diagrams and tables National 4 EF 1.1e 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 National 4 EF 1.1e Fill empty boxes Pattern 1 Pattern 3 Pattern 2 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 National 4 EF 1.1e 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 : Correction factor “add on 1” S = 4P + 1

Complicated Linear Patterns using diagrams and tables National 4 EF 1.1e 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

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

Created by Mr. Lafferty @www.mathsrevision.com Starter Questions National 4 EF 1.1e 6 cm 10 cm 114o www.mathsrevision.com Wednesday, 19 April 2017 Created by Mr. Lafferty @www.mathsrevision.com

Created by Mr. Lafferty @www.mathsrevision.com Square Numbers National 4 EF 1.1e Learning Intention Success Criteria To explain what a square number is. To understand what a square number is. Calculate the first 10 square numbers. www.mathsrevision.com Wednesday, 19 April 2017 Created by Mr. Lafferty @www.mathsrevision.com

Square Numbers Write down the next square number National 4 EF 1.1e 16 1 4 9 42 www.mathsrevision.com 12 22 32 Write down the first 10 square numbers. 1 4 9 16 25 36 49 64 81 100 19-Apr-17 Created by Mr.Lafferty Math Dept

Created by Mr. Lafferty @www.mathsrevision.com Square Numbers National 4 EF 1.1e Now try Extension Booklet 3E (page 95) www.mathsrevision.com Wednesday, 19 April 2017 Created by Mr. Lafferty @www.mathsrevision.com

Created by Mr. Lafferty @www.mathsrevision.com Starter Questions National 4 EF 1.1e 8 cm 6 cm 122o www.mathsrevision.com Wednesday, 19 April 2017 Created by Mr. Lafferty @www.mathsrevision.com

Created by Mr. Lafferty @www.mathsrevision.com Triangular Numbers National 4 EF 1.1e Learning Intention Success Criteria To explain what a triangular number is. To understand what a triangular number is. Calculate the first 10 triangular numbers. www.mathsrevision.com Wednesday, 19 April 2017 Created by Mr. Lafferty @www.mathsrevision.com

Triangular and square Numbers Which numbers are both square and triangular number Triangular and square Numbers Write down the next triangular number National 4 EF 1.1e 1 3 6 10 15 www.mathsrevision.com 2 3 4 5 Write down the first 10 triangular numbers. 1 3 6 10 15 21 28 36 45 55 19-Apr-17 Created by Mr.Lafferty Math Dept

Created by Mr. Lafferty @www.mathsrevision.com Special Patterns National 4 EF 1.1e Now try Extension Booklet 4E (page 97) www.mathsrevision.com Wednesday, 19 April 2017 Created by Mr. Lafferty @www.mathsrevision.com