lesson 1 types of number 2024-2025.pdf

Date: Monday, 09 September 2024 Title: Recognise and Learn the Types of Number Learning intent: to find factors, multiples, squares and primes Learning steps: Key Words: factors, multiples, prime, square, cube, odd and even numbers Prime Numbers What is a prime number? noun a p...

Date: Monday, 09 September 2024 Title: Recognise and Learn the Types of Number Learning intent: to find factors, multiples, squares and primes Learning steps: Key Words: factors, multiples, prime, square, cube, odd and even numbers Prime Numbers What is a prime number? noun a prime number is a positive integer greater than one that cannot be written as a product of two distinct integers which are greater than one. WHAT ?????? Prime Numbers What is a prime number? noun a prime number is a positive integer greater than one that cannot be written as a product of two distinct integers which are greater than one. Loading… Basically, a number that can only be divided by 1 and itself ! Prime Numbers What is a prime number? some of these numbers are 2,3,5,7,11,13,17,19,23,29,31,37 etc Tip The number 2 is the ONLY even prime number Prime Numbers is 43 a prime number? is 51 aLoading… prime number? is 59 a prime number? Multiples What are multiples of a number? Multiples of a number are the numbers that you get when you multiply (times) a certain number with another. Multiples The multiples of 5 are 5, 10, 15, 20, 25 ….. The multiples of 9 are 9, 18, 27, 36, 45..... Multiples What are the multiples of 7? 7, 14, 21, 28, 35, 42, 49, 56, 63, 70, 77, 84 What are the multiples of 12? 12, 24, 36, 48, 60, 72, 84, 96, 108, 120, 132, 144 Multiples is 45 a multiple of 3? is 51 a multiple of 3? is 59 a multiple of 3? Tip If a digit or digits add up to either 3, 6 or 9 then the number is in the 3 times table For example 492 is in the 3 times table 4 + 9 + 2 = 15 then 1 + 5 = 6 Factors What are factors of a number? Factors of a number are the numbers that when multipled (times'd) together make the requested number. Factors Using a methodical sequence, we can find the factors of simple numbers What numbers divide exactly in to 12? 1 x 12 = 12 2 x 6 = 12 1, 12, 2, 6, 3, 4, 6 and 12 Loading… 3 x 4 = 12 These are the factors of 12 Tip Going through the numbers starting at 1 x , 2 x , 3 x etc will prevent you from missing any factors Factors What are the factors of 20? 1 x 20 = 20 2 x 10 = 20 1, 20, 2, 10, 4 and 5 4 x 5 = 20 These are the factors of 20 Factors The factors of 25 are? 1, 25 and 5 The factors of 24 are? 1, 24, 2, 12, 3, 8, 4 and 6 Highest Common Factor (HCF) To find the HCF of a given pair of numbers, you need to find the factors of each given number and recognise the common factor in each The factors of 24 are 1, 24, 2, 12, 3, 8, 4 and 6 The factors of 20 are 1, 20, 2, 10, 4 and 5 So the HCF of 24 and 20 is 4 Lowest Common Multiple (LCM) To find the LCM of a given pair of numbers, you need to find the multiples of each given number and recognise the common multiple in each The multiples of 9 are 9, 18, 27, 36, 45, 54, 63, 72, 81, 90 The multiples of 12 are 12, 24, 36, 48, 60, 72, 84, 96, 108, 120, 132, 144 So the LCM of 9 and 12 is 36 Highest Common Factor (HCF) What is the HCF of 36 and 48? Lowest Common Multiple (LCM) What is the LCM of 12 and 5? Prime Factors 60 60 = 2 x 2 x 3 x 5 60 = 22x 3 x 2 30 5 2 15 3 5 Prime Factors Express 60 as a product of prime factors WRITE MULTIPLY PRIME NUMBERS THAT DIVIDE INTO 60 Simply....write all the prime numbers that will multiply together to make 60 Prime Factors An alternative way is... 60 60 = 5 x 2 x 3 x 2 60 = 22x 3 x 5 12 5 2 6 3 2 Prime Factors Express 45 as a product of prime factors 45 45 = 5 x 3 x 3 45 = 32 x 5 9 5 3 3 For the following numbers find the prime factor decomposition using factor trees. Answers A) 100 22X52 B) 84 22X3X7 C) 180 22X32X5 D) 75 3X52 E) 315 5X7X32 F) 50 52X2 Exam Style Questions 2 3 8 16 20 24 29 From the list of number above find the following… A prime number……………………………………………….. A multiple of 5…………………………………………………. 2 factors of 32……………………and.………………………. Exam Style Questions Place a tick ( ) in the boxes that describe each number 1 3 5 15 17 Prime numbers Multiple of 3 Factors of 30 What is the HCF for 18 and 24? What is the LCM of 24 and 32?  Exam Style Questions List the factors of the List the first 5 multiples of the following numbers following numbers a. 35 ……………………………………… a. 5 ……………………………… b. 4 …………………………………..….. b. 12……………………………… c. 10 ……………………………………… c. 22……………………………… d. 32 ……………………………………… d. 16……………………………… From the box below, circle all the prime numbers 13 45 64 144 4 7 56 8 99 16 34 38 12 25 49 1 40  Find the HCF and LCM of the following: Answers: 1. 6 and 15 1. HCF = 3, LCM = 30 2. 20 and 30 2. HCF = 10, LCM = 60 3. 14 and 42 3. HCF = 14, LCM = 42 4. 24, 30 and 54 4. HCF = 6, LCM = 1080  Exam question practice I DO YOU DO Derek advises a patient to have a scale every Sophie checks her bike for repairs 4 months and a polish every 5 months. If a every 9 days and Susan check hers patient had a scale and polish today, how every 12 days. If they both check their bikes long will they wait before they can have both today, after how many days do they next both during the same appointment? check their bikes again at the same time? 4 8 12 16 20 180 210 9 18 27 36 45 54 63 5 10 15 20 25 30 12 24 36 48 60 72 20 months = 1year 8 months = 36 days  Now try questions in the NUMBER topic section from your exam booklet Finish at least one of the following sentences using words from the key vocabulary list. Loading…