Types of Numbers Multiples and LCM Factors and HCF www.mathsrevision.com Problems involving LCM / HCF 25-May-18 Created by Mr. Lafferty

Starter Questions 1. Find the area of the rectangle. 9mm 20mm www.mathsrevision.com 2. Find the perimeter of the rectangle. 25-May-18 Created by Mr. Lafferty

Lowest Common Multiple Learning Intention Success Criteria We are learning that multiples are simply values in the times tables We are learning how to find the Lowest Common Multiple. Remember times tables and use them for multiples. Apply sets of multiples to identify Lowest Common Multiples www.mathsrevision.com 25-May-18 Created by Mr. Lafferty

Lowest Common Multiple All about your tables Lowest Common Multiple Multiples Example : Find the first seven multiples of 3. M3 = 3, 6 , 9, 12, 15, 18, 21 www.mathsrevision.com Example : Find the first five multiples of 4. M4 = 4, 8 , 12, 16, 20, 25-May-18 Created by Mr. Lafferty

Lowest Common Multiple All about your tables Lowest Common Multiple Multiples Example : Find the first eight multiples of 7. M7 = 7, 14 , 21, 28, 35, 42, 49 , 56 www.mathsrevision.com Example : Find the first seven multiples of 8. M8 = 8, 16 , 24, 32, 40, 48, 56 25-May-18 Created by Mr. Lafferty

Lowest Common Multiple www.mathsrevision.com We need to write out multiples in order to find the Lowest Common Multiple. 25-May-18 Created by Mr. Lafferty

What is the lowest number that appears in both lists ? Lowest Common Multiple Multiples Example : Find the LCM for 3 and 4. M3 = 3, 6 , 9, 12, 15, 18, 21 www.mathsrevision.com M4 = 4, 8 , 12, 16, 20, LCM = 12 25-May-18 Created by Mr. Lafferty

What is the lowest number that appears in both lists ? Lowest Common Multiple Multiples Example : Find the LCM for 7 and 8. M7 = 7, 14 , 21, 28, 35, 42, 49 , 56 www.mathsrevision.com M8 = 8, 16 , 24, 32, 40, 48, 56 LCM = 56 25-May-18 Created by Mr. Lafferty

What is the lowest number that appears in all lists ? Lowest Common Multiple Multiples Example : Find the LCM for 2 , 4 and 6. M2 = 2, 4 , 6, 8 , 10, 12, 14 M4 = 4, 8 , 12 , 16 www.mathsrevision.com M6 = 6, 12 , 18 LCM = 12 25-May-18 Created by Mr. Lafferty

Now try TJ2a Ex 1 Ch17 (page168) Lowest Common Multiple www.mathsrevision.com 25-May-18 Created by Mr. Lafferty

Starter Questions 1. Find the volume of the cuboid. 3mm 4mm 10mm www.mathsrevision.com 25 % of the 720. 25-May-18 Created by Mr. Lafferty

Highest Common Factor www.mathsrevision.com Learning Intention Success Criteria We are learning that a factor divides into a number with no remainder We are learning how to find Highest Common Factors Identify factors using factor pairs Find HCF for two numbers by comparing factors. www.mathsrevision.com 25-May-18 Created by Mr. Lafferty

1 and the number itself are ALWAYS factors. Highest Common Factor Example : Find the factors of 9. F9 = 1, 3, 9 www.mathsrevision.com Example : Find the factors 12. F12 = 1, 2, 3, 4, 6, 12 25-May-18 Created by Mr. Lafferty

1 and the number itself are ALWAYS factors. Highest Common Factor Example : Find the factors of 10. F10 = 1, 2, 5, 10 www.mathsrevision.com Example : Find the factors of 15. F15 = 1, 3, 5, 15 25-May-18 Created by Mr. Lafferty

Highest Common Factor Highest Common Factor www.mathsrevision.com We need to write out all factors in order to find the Highest Common Factor. 25-May-18 Created by Mr. Lafferty

What is the highest number that appears in both lists ? Highest Common Factor Example : Find the HCF for 9 and 12. F9 = 1, 3, 9 F12 = 1, 2, 3, 4, 6, 12 www.mathsrevision.com HCF = 3 25-May-18 Created by Mr. Lafferty

What is the highest number that appears in both lists ? Highest Common Factor Example : Find the HCF for 10 and 15. F10 = 1, 2, 5, 10 F15 = 1, 3, 5, 15 www.mathsrevision.com HCF = 5 25-May-18 Created by Mr. Lafferty

What is the highest number that appears in both lists ? Highest Common Factor Example : Find the HCF of 8 and 12. F8 = 1, 2, 4, 8 www.mathsrevision.com F12 = 1, 2, 3, 4, 6, 12 HCF = 4 25-May-18 Created by Mr. Lafferty

Now try TJ2a Ex 2 Ch17 (page169) Highest Common Factor www.mathsrevision.com 25-May-18 Created by Mr. Lafferty

Starter Questions 1. Find the factors of 21. www.mathsrevision.com 10 % of the 150. 25-May-18 Created by Mr. Lafferty

Problems www.mathsrevision.com Learning Intention Success Criteria We are problem solving with multiples and factors. Be able to solve problems involving multiples and factors. www.mathsrevision.com 25-May-18 Created by Mr. Lafferty

Factor Problem Say which multiple bucket each number can go in. 2 2 6 6 12 12 12 18 18 57 60 60 60 Multiples of 2 Multiples of 3 Multiples of 4 25-May-18 Created by Mr. Lafferty

Multiple Problem Say which multiple box each number can go in. 3 3 3 5 6 6 9 12 12 18 Factor 15 Factor 24 Factor 72 25-May-18 Created by Mr. Lafferty

Have you updated your Learning Log ? Problems Now try TJ2a Ex 3 Ch17 (page170) www.mathsrevision.com 25-May-18 Created by Mr. Lafferty