Title Types of Numbers Odd Number Even Number

Title: Types of Numbers Odd Number Even Number Natural Number Factor Highest Common Factor Multiple Lowest Common Multiple Prime Number Composite Number Twin Prime Look at the list of keywords. Which words are familiar to you? Mark the words with a �

Worksheet Activities Student worksheets can be printed prior to lesson. Worksheets aid the presentation. Checklist (Prior) Odd & Even Numbers Factors Highest Common Factor Lowest Common Multiple Prime Numbers Mix & Match Checklist (Post) Keywords/ Definitions

Can you sort the numbers? 2, 19 , 17, 22, 5, 36, 33, 7, 1, 0, 12 100, 77, 89, 64, 1200, 131, 3, 52, 96, 9 ODD EVEN Click here for student worksheet.

Create your own definition for odd and even numbers ODD EVEN 19, 17, 5, 33, 7, 1, 77, 89, 131, 3, 9 2, 22, 36, 12, 100, 89, 64, 1200, 52, 96 HINT: 2

True/ False Odd Number + Odd Number = Even Number ODD 19, 17, 5, 33, 7, 1, 77, 89, 131, 3, 9 A whole number which is not divisible by two. When divided by 2, the answer has a remainder.

True/ False Even Number + Even Number = Even Number A whole number which can be divided by 2 with no remainder. EVEN 2, 22, 36, 12, 100, 89, 64, 1200, 52, 96

A Natural Number: A positive whole number. Natural numbers are denoted with the capital letter N Highlight the NATURAL NUMBERS on this number line.

Using the numbers given, match numbers into pairs that multiply together to give the following products below… a) b) c) d) 63 48 36 10 Factors: 1 8 2 9 5 7 3 8 2 6 Click here for student worksheet.

Using the numbers given, match numbers into pairs that multiply together to give the following products below… a) b) c) d) 63 48 36 10 x x Factors: 1 Create your own 9 8 2 5 definition for the 7 keyword 3 FACTOR. 2 6

Factor: A factor of a number divides exactly into that number, leaving no remainder. TRUE 4 is a factor of 20 3 is a factor of 34 1 is a factor of every number Every number is a factor of itself Another word for factor is DIVISOR The factors of 16 are 1, 2, 4, 8, 16 3 x 6 is a pair factor of 18 FALSE

TRUE FALSE 4 is a factor of 20 3 is a factor of 34 1 is a factor of every number Every number is a factor of itself Another word for factor is DIVISOR The factors of 16 are 1, 2, 4, 7, 16 3 x 6 is a pair factor of 18 TRUE FALSE TRUE

Factors of 10 are ________ Factors of 20 are ________ Represent the above factors on the VENN DIAGRAM below…

10 2 1 5 Factors of 10 1 20 5 4 2 10 Factors of 20 Hands up you got this VENN DIAGRAM

10 2 1 5 Factors of 10 1 20 5 4 2 10 Factors of 20 Hands up you got this VENN DIAGRAM

10 1 5 2 Factors of 10 20 4 Factors of 20 Hands up you got this VENN DIAGRAM

10 1 5 2 Factors of 10 Which number is the Highest Common Factor? 20 4 Factors of 20 The Highest Common Factor (HCF) is the highest factor common to both products.

Highest Common Factor (HCF): Factors of 56 1, 2, 4, 7, 8, 14, 28, 56 Factors of 48 Factors of 36 1, 2, 3, 4, 6, 8, 12, 16, 24, 9, 12, 18, 48 36 Factors of 81 Factors of 144 1, 3, 9, 27, 81 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 36, 48, 72, 144 8 1. What is the HCF of 56 and 48? 2. What is the HCF of 48 and 144? 48 3. What is the HCF of 36, 81 and 144? 9 4. What is the HCF of 144, 56 and 48? 8 5. What is the lowest common factor of 56 and 36? 1 6. TRUE/FALSE – Is the lowest common factor always ONE? TRUE Click here for student worksheet.

Multiple: is the number we get when we multiply a given number by a whole number. Multiple: Look at the table and explain what a multiple is. 1 2 3 4 5 6 7 8 9 10 11 12 2 4 6 8 10 12 14 16 18 20 22 24 3 6 9 12 15 18 21 24 27 30 33 36 4 8 12 16 20 24 28 32 36 40 44 48 5 10 15 20 25 30 35 40 45 50 55 60 6 12 18 24 30 36 42 48 54 60 66 72 7 14 21 28 35 42 49 56 63 70 77 84 8 16 24 32 40 48 56 64 72 80 88 96 9 18 27 36 45 54 63 72 81 90 99 108 10 20 30 40 50 60 70 80 90 100 110 120 11 22 33 44 55 66 77 88 99 110 121 132 12 24 36 48 60 72 84 96 108 120 132 144 Click here for student worksheet.

1 2 3 4 5 6 2 4 6 8 10 12 3 6 9 12 15 18 4 8 12 16 20 24 5 10 15 20 25 30 6 12 18 24 30 36 7 14 21 28 35 42 8 16 24 32 40 48 9 18 27 36 45 54 10 20 30 40 50 60 11 22 33 44 55 66 12 24 36 48 60 72 Lowest Common Multiple (LCM): The Lowest Common Multiple is the smallest number common in both multiples of a given number. Q 1. What is the LCM of 4 and 2? 4 Q 2. What is the LCM of 4 and 5? 20 Q 3. What is the LCM of 3, 5 and 6? 30 Q 4. What is the LCM of 2, 3 and 5? 30 Q 5. What is the LCM of 6 and 8? Q 6. What is the LCM of 8 and 16? Q 7. TRUE / FALSE You always get a common multiple of a pair of numbers by multiplying them together. Q 8. Why have I not asked you to find the Highest Common Multiple yet? Click here for student worksheet.

Lowest Common Multiple (LCM): The Lowest Common Multiple is the smallest number common in both multiples of a given number. Q 5. What is the LCM of 6 and 8? Multiplies of 6 = 6, 12, 18, 24, 30, 36, 42, 48, 54, 60 Multiples of 8 = 8, 16, 24, 32, 40, 48, 56, 64, 72, 80, 88, 96 The Lowest Common Multiple (LCM) is 24 Q 6. What is the LCM of 8 and 16? Multiples of 8 = 8, 16, 24, 32, 40, 48, 56, 64, 72, 80, 88, 96 Multiples of 16 = 16, 32, 48, , 64, 80, 96 The Lowest Common Multiple (LCM) is 16 Q 7. TRUE / FALSE You always get a common multiple of a pair of numbers by multiplying them together. TRUE Q 8. Why have I not asked you to find the Highest Common Multiple yet? You could be multiplying for quite a while.

Prime Numbers: A number with 2 factors only. Exception: 1 is not a Prime Number. 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 84 85 86 87 88 89 90 91 92 93 94 95 96 97 98 99 100 Click here for student worksheet.

1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 84 85 86 87 88 89 90 91 92 93 94 95 96 97 98 99 100 PRIME NUMBERS COMPOSITE NUMBERS What is the ONLY even PRIME number between 1 - 100?

1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 84 85 eee 86 87 88 89 90 91 92 93 94 95 97 98 99 100 PRIME NUMBERS COMPOSITE NUMBERS 96 3 and 5 11 and 13 17 and 19 41 and 43 71 and 73 Identify the Twin Prime Numbers: Two prime numbers have one or two composite numbers between them

Steps to finding the Prime Numbers between 1– 100: 1. Colour in number 1 as this is NOT a Prime Number. 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 84 85 86 87 88 89 90 91 92 93 94 95 96 97 98 99 100 Note: We are colouring in all the numbers which ARE NOT Prime Numbers left uncoloured will be the PRIME NUMBERS 2. Number 2 is a Prime Number. Do not colour in number 2. Colour in ALL the multiples of 2. 3. Number 3 is a Prime Number. Do not colour in number 3. Colour in ALL the multiples of 3. 4. Number 5 is a Prime Number. Do not colour in number 5. Colour in ALL the multiples of 5. 5. Number 7 is a Prime Number. Do not colour in number 7. Colour in ALL the multiples of 7.

With your prime numbers at hand, what do the following numbers have in common? 25 5 x 5 51 3 x 17 Hint: What is a Prime Factor? 77 7 x 11

Mix and Match Activity. Access worksheet by clicking on this link: https: //www. scoilnet. ie/search/resource/entity/sh ow/Lre/24018/

Reflection: Review the keywords by completing the table… ☺ Odd Number Even Number Natural Number Factor Highest Common Factor ☹ Homework: Students should complete middle section of this sheet. Multiple Lowest Common Multiple Prime Number https: //www. scoilnet. ie/search/resource /entity/show/Lre/22750/ Composite Number Twin Prime Factor Click here for student worksheet.

Title: Types of Numbers

Extension Work Research the meaning of each keyword below, create a class activity to help explain three of the keywords: Consecutive Number Perfect Number Rational Number Integer Faction Decimal Square Root Power Product Couple, Dozen , Bakers Dozen, Score, 12 Dozen, Gross, Great Gross Decade, Century, Millennium, Single, Double, Triple, Quadruple, Quintuple, Hexatruple, Septuple …. Centuple.