3 Learning GoalsIdentify prime, composite, square, even and odd numbers.Determine if one number is a factor or a multiple of another numberIdentify and learn multiplication combinations
4 FactorsFactors are the numbers you multiply together to get a product.For example, the product 24 has several factors.24 = 1 x 2424 = 2 x 1224 = 3 x 824 = 4 x 6SO, the factors are 1, 2, 3, 4, 6, 8, 12, 24
5 MultiplesA multiple is formed by multiplying a given number by the counting numbers.The counting numbers are 1, 2, 3, 4, 5, 6, etc.
11 Lowest Common Multiple (LCM) To find the lowest common multiple of two numbers,simply list the multiple of each number and the first number thatappears in both lists is the LCM.e.g. Find the LCM of 8 and 14816243240485664728014284256708456 is the first number to appearin each list and so 56 is the LCM
12 LCM and HCF Harder Questions A farmer has 24 cows and 30 sheep. She decides to divide theseequally between her sons.What is the greatest number of sons she can have?HCF question:List the factors of both:241234681230123561015Number of sons she can have is 6
13 Homework TimeMath Makes Sense Textbook – pg 44; Q’s 1, 2, 5, 8
14 Prime and Composite Numbers have more than twofactors.EXAMPLES:6, 18, 30, 100Prime numbers arenumbers that only havetwo factors: one, and thenumber itself.EXAMPLES:3, 5, 7, 11, 31
15 Which list contains all prime numbers? 1, 2, 3, 72, 3, 7, 1311, 13, 9, 1721, 23, 37, 41GLASS MODE
16 Let’s review what we’ve learned How can you know if a number is a prime number?How can an array help you identify a square number?What is a factor?What is a strategy you can use to find all the factors of a given number?Glass mode: Who can write an equation for this array? Who can write it with more than 2 factors?
17 Guiding QuestionHow are multiples different from factors?
18 DiscussionWhat do you think?Did you find any “favorite” strategy that helped you, that you could share with the rest of us?Which ones did you find mostchallenging?Did any of your puzzles have more thanone answer? Or no answer?
19 Let’s Review our Guiding Questions What are multiples?How are multiples different from factors?ShareTake a few minutes to answer these in your journal.
20 Journal Time1, 6, 20, 2, 12, 3, 4, 9, 16, 5, 11, 28, 25From this list of numbers, write down:The prime numbersThe multiples of 4The factors of 6Square Numbers(You might use some numbers more than once)Complete the Number Line handout for factors & multiples