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Types of Numbers

Types of Numbers. Multiples and LCM. Factors and HCF. www.mathsrevision.com. Problems involving LCM / HCF. Starter Questions. 1. Find the area of the rectangle. 9mm. 20mm. www.mathsrevision.com. 2. Find the perimeter of the rectangle. Lowest Common Multiple. Learning Intention.

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Types of Numbers

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  1. Types of Numbers Multiples and LCM Factors and HCF www.mathsrevision.com Problems involving LCM / HCF Created by Mr. Lafferty

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

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

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

  5. 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 Example : Find the first seven multiples of 8. www.mathsrevision.com M8 = 8, 16 , 24, 32, 40, 48, 56 Created by Mr. Lafferty

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

  7. 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 Created by Mr. Lafferty

  8. 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 Created by Mr. Lafferty

  9. 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 Created by Mr. Lafferty

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

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

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

  13. 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 Created by Mr. Lafferty

  14. 1 and the number itself are ALWAYS factors. Highest Common Factor Example : Find the factors of 10. F10 = 1, 2, 5, 10 Example : Find the factors of 15. www.mathsrevision.com F15 = 1, 3, 5, 15 Created by Mr. Lafferty

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

  16. 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 Created by Mr. Lafferty

  17. 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 Created by Mr. Lafferty

  18. 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 Created by Mr. Lafferty

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

  20. Starter Questions 1. Find the factors of 21. www.mathsrevision.com • 10 % of the 150. Created by Mr. Lafferty

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

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

  23. 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 Created by Mr. Lafferty

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

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