Today we will discuss about the topic: Factors and multiples – multiplication facts

1. Good Afternoon! Today we will discuss about the topic: Factors and multiples – multiplication facts Let’s Warm up:. 1) 147 1)93 + 54 = 2) Round 2,456to the nearest tens place. 3)Write654in word form. 4) 67 – 43 = 5) What is the next number in the pattern? 3, 7, 11, 15, 2) 2,460 3) Six hundred fifty four 4) 24 5) 19 CONFIDENTIAL

2. REVIEW Let’s discuss what we did in the last few sessions. • PLACE VALUE helps you better understand the WHOLE NUMBERS (0,1,2,3,4,5,6,7,8,9,.....) • We can write numbers in three forms: • We compare numbers using PLACE VALUE. • Many times there are more than 2 numbers that we want to compare. We can "ORDER" the numbers by placing them in an order from least to greatest OR greatest to least • STANDARD FORM:423 • WORD FORM:Four hundred twenty-three • EXPANDED FORM:400 + 20 + 3 CONFIDENTIAL

3. REVIEW • When we ESTIMATE, we find a number that is closeto the exact number. • ROUNDING is one of the ways we estimate. • The middle number is called the MEDIAN SET of data 52, 45, 48, , 69, 74 MEDIAN CONFIDENTIAL

4. REVIEW There are several properties of addition COMMUTATIVE PROPERTY: We can change the order and the sum stays the same. EXAMPLE: 4 + 6 = 10 6 + 4 = 10 ASSOCIATIVE PROPERTY: We can change the grouping and the sum stays the same. EXAMPLE: 2 + (3+ 8) = 13 (2 + 3)+ 8= 13 IDENTITY PROPERTY: We can add zero and the sum stays the same. EXAMPLE: 7 +0 = 7 CONFIDENTIAL

5. REVIEW Addition and Subtraction areINVERSE OPERATIONS • If we subtract 0 from any number, the difference is that same number. 13 - 0 = 13 • If we subtract a number from itself, the difference is 0. 57 - 57 = 0 CONFIDENTIAL

6. Let’s learn few terms before we proceed! 4 x 5 = 20 Product Factor Factor: Number that is multiplied to give a product. Product: Number that is obtained by multiplying numbers. CONFIDENTIAL

7. Find: 2 x 3 STEP 1 : There are 3 rows. Each row has 2 stars. 2 stars Three times two stars is six stars. 2 + 2 + 2 = 6 2 stars 2 stars + + CONFIDENTIAL

8. Similarly, we can rearrange the stars in the following manner also. STEP 2 : Here we have 2 rows and each row has 3 stars. 3 stars + 3 stars Two times three stars is six stars. That is 3+ 3 = 6. Hence, the result. CONFIDENTIAL

9. Multiplication by a whole number is REPEATED ADDITION STEP 3 : We can show this by a multiplication equation. 2 x 3 = 6 Product Factor Factor CONFIDENTIAL

10. Now here is something for you to do. There are five groups and each group has four triangles. Can you tell how many triangles are there in all? 4 + 4 + 4 + 4 + 4= 5 x 4 = 20 CONFIDENTIAL

11. There are several properties of multiplication. 1) COMMUTATIVE PROPERTY: We can change the order of the factors and the product stays the same. EXAMPLE: 4 x 3 = 12 3 x 4 = 12 2) IDENTITY PROPERTY: We can multiply a number by 1and the product is the number. EXAMPLE: 3 x 1 = 3 3) ZERO PROPERTY: We can multiply a number by 0 and the product is zero. EXAMPLE: 7 x 0 = 0 CONFIDENTIAL

12. Uses of the properties of multiplication. 1) COMMUTATIVE PROPERTY: The order of the factors does not affect the product. 4 x 3 =12 4 groups of 3 cans = 12 cans 3 x 4 =12 3 groups of 4 cans = 12 cans The number of cans remain the same. CONFIDENTIAL

13. 2) IDENTITY PROPERTY: The product of 1 and a number is the number. 5 x 1 =5 1 row of 5 cans = 5 cans. CONFIDENTIAL

14. 3) ZERO PROPERTY: The product of 0 and any number is 0. 5 x 0 =0 0 rows of 5 cans = 0 cans. CONFIDENTIAL

15. Complete each problem using the COMMUTATIVE PROPERTY. "Change the Order" x 3 x 6 6 x 3 = x 2 x 5 = 5 x 2 CONFIDENTIAL

16. Complete each problem using the IDENTITY PROPERTY. 6 x 1 = 6 5 x 1 = 5 CONFIDENTIAL

17. Complete each problem using the ZERO PROPERTY. 0 x 3 = 0 6 x 0 = 0 CONFIDENTIAL

18. BREAK CONFIDENTIAL

19. GAME Click on the link below for some exciting puzzle http://www.thekidzpage.com/onlinejigsawpuzzles/jigsaw-puzzles/12-piece-jigsaw/bananapuzzle.html CONFIDENTIAL

20. Find the product with the help of model. 1) 2 x 2 = 1) 4 2) 7 x 3 = 2) 21 3) 4 3) 4 x 1 = 4) 30 4) 6 x 5 = CONFIDENTIAL

21. 5) Sam Reads 5 pages in one day. How many pages does he reads in 5 days? 5) 25 CONFIDENTIAL

22. 6) There are 3 balls in a can of tennis balls. Write a multiplication sentence to show how many balls are in 4 cans. 6) 3 x 4 = 12 balls 7) Tyler wants to put 5 rows of 3 robot stickers on each page of his sticker album. Write a multiplication sentence to describe how each page will look. 7) 5 x 3 = 15 robot stickers CONFIDENTIAL

23. 8) Lucy has 8 pencils each of green, blue and red colors. How many pencil does she have in all? 8) 24 9) Kayla is using beads to make 4 bracelets. She puts 8 beads on each bracelet. How many beads does she use? 9) 32 beads CONFIDENTIAL

24. 10) Yoshi is putting beads on his Temari ball. He makes 3 rows with 7 beads in each. What other way can he put the beads in equal groups and still have 21 beads? 10) 7 rows of 3 beads CONFIDENTIAL

25. Multiplication by a whole number isREPEATED ADDITION Very Good! Let's Review • Factor: Number that is multiplied to give a product. • Product:Number that is obtained by multiplying numbers. CONFIDENTIAL

26. There are several properties of multiplication. 1) COMMUTATIVE PROPERTY: We can change the order of the factors and the product stays the same. EXAMPLE: 4 x 3 = 12 3 x 4 = 12 2) IDENTITY PROPERTY: We can multiply a number by 1and the product is the number. EXAMPLE: 3 x 1 = 3 3) ZERO PROPERTY: We can multiply a number by 0 and the product is zero. EXAMPLE: 7 x 0 = 0 CONFIDENTIAL

27. Very well done. See you in the next session. CONFIDENTIAL