25-Aug-14Created by Mr. Lafferty Multiples and LCM Factors and HCF Types of Numbers Prime numbers Prime Decomposition

25-Aug-14Created by Mr. Lafferty Starter Questions 45 o 100 o 92 o

25-Aug-14Created by Mr. Lafferty Learning Intention Success Criteria 1.To be able to write out multiples 1.We are learning what multiples are. 2.We are learning how to find the Lowest Common Number. 2.Use sets of multiples to identify Lowest Common Multiples Types of Numbers Multiples

25-Aug-14Created by Mr. Lafferty Types of Numbers Multiples Example 1 :Find the first seven multiples of 3. M3 = 3, 6, 9, 12, 15, 18,21 M4 = 4, 8, 12, 16, 20, ……… Example 2 :Find the first five multiples of 4.

25-Aug-14Created by Mr. Lafferty Types of Numbers Lowest Common Multiple We need to write out multiples in order to find the Lowest Common Multiple. Lowest Common Multiple Smallest Same Number

25-Aug-14Created by Mr. Lafferty Types of Numbers Lowest Common Multiple Example :Find the LCM of 3 and 4. M3 = 3, 6, 9, 12, 15, ……… M4 = 4, 8, 12, 16, 20, ……… LCM = 12

25-Aug-14Created by Mr. Lafferty Now try Exercise 1 Ch5 (page 28) Types of Numbers Revision of Level E

25-Aug-14Created by Mr. Lafferty Starter Questions 65 o 150 o 52 o

25-Aug-14Created by Mr. Lafferty Learning Intention Success Criteria 1.To identify factors using factor pairs 1.We are learning what a factor is. 2.We are learning to find the Highest Common Factors for a set of numbers. 2.Find HCF for two numbers by comparing factors. Types of Numbers Using Factors

25-Aug-14Created by Mr. Lafferty Types of Numbers Factors Example :Find the factors of 56. F56 =1 and 56 Always divide by 1 and find its pair 2 and 28 4 and 14 7 and 8 From 2 find other factors and their pairs

25-Aug-14Created by Mr. Lafferty Types of Numbers Highest Common Factor We need to write out all factor pairs in order to find the Highest Common Factor. Highest Common Factor Largest Same Number

25-Aug-14Created by Mr. Lafferty Types5 of Numbers Example :Find the HCF of 8 and 12. HCF = 4 F8 =1 and F12 = 1 and 12 2 and Highest Common Factor

25-Aug-14Created by Mr. Lafferty Now try Exercise 2 Ch5 (page 30) Types of Numbers Revision of Level E

25-Aug-14Created by Mr. Lafferty Starter Questions 5 cm 4 cm 95 o 25 o

25-Aug-14Created by Mr. Lafferty Learning Intention Success Criteria 1.To know the meaning of the term Prime Number. 1.We are learning what a prime number is and to find all the prime numbers from 1 and Find all prime numbers between 1 and Types of Numbers Prime Numbers

25-Aug-14Created by Mr. Lafferty Types of Numbers Prime Numbers Definition :A prime number is a number with exactly exactly 2 factors. Example :Is 7 a prime number. Explain? Yes, only two factors 1,7 Example :Is 10 a prime number. Explain? No, more than two factors 1,2,5,10

Strike the two’s, strike the three’s the Sieve of Eratosthenes when the multiples sublime, the numbers that remain are prime! 25 primes Below 100

46 primes below 200 Use the method of Eratosthenes to find all primes below 200 What is the largest prime <  200?

– – – – – – – – 1000 Number of PrimesRange ?

Strike the two’s, strike the three’s the Sieve of Eratosthenes when the multiples sublime, the numbers that remain are prime! Worksheet –

Strike the two’s, strike the three’s the Sieve of Eratosthenes when the multiples sublime, the numbers that remain are prime! Worksheet –

25-Aug-14Created by Mr. Lafferty Now try Exercise 3 Ch5 (page 32) Types of Numbers Revision of Level E

25-Aug-14Created by Mr. Lafferty Starter Questions 8 cm 5 cm 119 o

25-Aug-14Created by Mr. Lafferty Learning Intention Success Criteria 1.To know the meaning of the term prime decomposition. 1.We are learning the technique of prime decomposition. 2.Decompose numbers to a product of prime only. Types of Numbers Prime Decomposition

25-Aug-14Created by Mr. Lafferty Types of Numbers A number is either Prime or Composite. (except for 0) If it is composite, like 12, it can always be expressed as a “product of primes” Example :Express 12 as a “product of primes” Prime Decomposition = 3 x 4 = 3 x 2 x 2 All Prime !

25-Aug-14Created by Mr. Lafferty Types of Numbers Example :Express 18 as a “product of primes” Prime Decomposition = 3 x 6 = 3 x 3 x 2 All Prime !

25-Aug-14Created by Mr. Lafferty Now try Exercise 4 Ch5 (page 35) Types of Numbers