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Today we will discuss about the topic: Patterns to multiply by 2, 10, 100

Good Afternoon!. Today we will discuss about the topic: Patterns to multiply by 2, 10, 100. Let’s Warm up:. x. 1) 3 x 4. 1) 4 x 3 =. 2) 2 x 1 =. 2) 2. 3) 0. 3) 7 x 0 =. 4) 6 x 5 =. 4) 30. REVIEW. Let’s discuss what we did in the last session.

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Today we will discuss about the topic: Patterns to multiply by 2, 10, 100

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  1. Good Afternoon! Today we will discuss about the topic: Patterns to multiply by 2, 10, 100 Let’s Warm up:. x 1) 3 x 4 1) 4 x 3 = 2) 2 x 1 = 2) 2 3) 0 3) 7 x 0 = 4) 6 x 5 = 4) 30 CONFIDENTIAL

  2. REVIEW Let’s discuss what we did in the last session. • Factor: Number that is multiplied to give a product • Product: Number that is obtained by multiplying numbers. • Multiplication by a whole number isREPEATED ADDITION CONFIDENTIAL

  3. REVIEW 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

  4. Let’s learn few terms before we proceed! • Multiple: It is the product of a number and any whole number. 4 and 6 are both multiples of 2. • Even numbers: Whole numbers that are divisible by 2 are even numbers. Like the numbers 2, 4, 6, 8 and 10. These numbers are the multiples of 2. • Odd numbers: Whole numbers that are not divisible by 2 are odd numbers. Like the numbers 1, 3, 5, 7, and 9. These numbers are not the multiples of 2. CONFIDENTIAL

  5. Prime numbers: Numbers whose factors are only 1 and the number itself are prime numbers. Like the numbers 1, 2, 3, 5, 7, 11, 13 and 17 are prime numbers. • Composite numbers: All the non-prime numbers except 0 and 1, are Composite Numbers. CONFIDENTIAL

  6. We can multiply by the means of Skip Counting also. By Skip Counting we mean that we can find the multiples of any number by hopping equal steps on the number line. 2 2 2 0 1 2 3 4 5 6 • Here the numbers are taking 3 jumps each of 2 steps. CONFIDENTIAL

  7. Find: 2 x 5 We use Skip Count by 2 five times to find the result for this purpose. 2 2 2 2 2 0 1 2 3 4 5 6 7 8 9 10 The product is 10. • The numbers 2, 4, 6, 8 and 10 are multiples of 2. These numbers are obtained by multiplying a number times 2. CONFIDENTIAL

  8. We take a problem that is : 3 x 4 Let’s see here: We use Skip Count by 3 four times to find the result for this purpose. 3 3 3 3 11 0 12 1 2 3 4 5 6 7 8 9 10 The product is 12. • Here the numbers are taking 4 jumps each of 3 steps. CONFIDENTIAL

  9. There are other strategies that can be used for multiplication. Find the value of 7 x 3. Use a Known Fact 7 groups of 3 = 7 groups of 2 plus 7 7 x 3 = 7 x 2 + 7 = 14 + 7 = 21 7 x 3 = 21 CONFIDENTIAL

  10. Find the value of 8 x 6. Double a Known Fact 8 groups of 6 = 4 groups of 6 + 4 groups of 6 8 x 6 = (4 x 6 ) + (4 x 6) = 24 + 24 = 48 8 x 6 = 48 CONFIDENTIAL

  11. We can make a multiplication table by skip counting on the number line. 5 5 5 5 5 5 5 5 5 5 0 5 10 15 20 25 30 35 40 45 50 The multiplication table of 5 would be like this: RULE:5 x n , where ‘n’ is any whole number CONFIDENTIAL

  12. We can make multiplication table of 10 in a similar way: 10 10 10 10 10 0 5 10 15 20 25 30 35 40 45 50 The multiplication table of 10 would be like this: RULE:10 x n , where ‘n’ is any whole number CONFIDENTIAL

  13. Now make a multiplication table of 100 in a similar way: 100 100 100 100 100 0 100 200 300 400 500 Fill in the blanks with appropriate values : RULE:10 x n , where ‘n’ is any whole number 200 300 400 600 700 800 900 CONFIDENTIAL

  14. Now we will explore about the square numbers. Square numbers: The numbers which are obtained by multiplying a number by itself are square numbers. Like, 4 x 4 = 16 Number Square Number Number CONFIDENTIAL

  15. We will try to understand this with the help of a model Find 4 x 4 : Shade the square on the graph with 4 rows and 4 squares in each row. Then count the number of squares. CONFIDENTIAL

  16. Record the number of squares in a table. Thus, 4 x 4 = 16 Can you find out the value of 3x3 with the help of the model given below? 3 x 3 = 9 CONFIDENTIAL

  17. We look into the Multiplication Table and its patterns now: In the table, the pattern of the square numbers are shown within the yellow squares. CONFIDENTIAL

  18. Find the value of the following expressions from the Multiplications Table. 3 x 8 = 12 x 4 = 24 48 5 x 7 = 6 x 6 = 35 36 CONFIDENTIAL

  19. BREAK CONFIDENTIAL

  20. GAME Click on the link below for some exciting puzzle http://www.thekidzpage.com/onlinejigsawpuzzles/jigsaw-puzzles/12-piece-jigsaw/050205food.html CONFIDENTIAL

  21. Assignments 1) Fill in the correct values to complete the table of 7 with the help of Multiplication Table. RULE:7 x n , where ‘n’ is any whole number 14 21 28 42 49 63 CONFIDENTIAL

  22. 2) Find out the value of 2x2 with the help of the model given below? 2 2 4 CONFIDENTIAL

  23. 3) Find the value of 3 x 5 by the method of Use a Known Fact . 3) 3 x 4 + 3 = 12 + 3 = 15 CONFIDENTIAL

  24. 4) Find the value of 6 x 4 by the method of Double a Known Fact . 4) (3 x 4 ) + (3 x 4) = 12 + 12 = 24 CONFIDENTIAL

  25. Find the products of the following: 5) 3 x 4 = 6) 7 x 2 = 6) 14 5) 12 7) 9 x 9 = 8) 5 x 5 = 7) 81 8) 25 CONFIDENTIAL

  26. Very Good! Let's Review We learnt about the following terms: • Multiple: It is the product of a number and any whole number. • Even numbers: Whole numbers that are divisible by 2 are even numbers. • Odd numbers: Whole numbers that are not divisible by 2 are odd numbers. • Prime numbers: Numbers whose factors are only 1 and the number itself are prime numbers. • Composite numbers: All the non-prime numbers except 0 and 1, are Composite Numbers. CONFIDENTIAL

  27. We can multiply by the means of Skip Counting also. By Skip Counting we mean that we can find the multiples of any number by hopping equal steps on the number line. 2 2 2 • Here the numbers are taking 3 jumps each of 2 steps. 0 1 2 3 4 5 6 There are other strategies that can be used for multiplication. Find 7 x 3. Find 8 x 6. Use a Known Fact Double a Known Fact 7 groups of 3 = 7 groups of 2 plus 7 8 groups of 6 = 4 groups of 6 + 4 groups of 6 7 x 3 = 7 x 2 + 7 = 14 + 7 = 21 8 x 6 = (4 x 6 ) + (4 x 6) = 24 + 24 = 48 CONFIDENTIAL

  28. We looked into the Multiplication Table and its patterns now: In the table, the pattern of the square numbers are shown within the yellow squares. CONFIDENTIAL

  29. You have done a nice job. See you in the next session. CONFIDENTIAL

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