STD III SUBJECT MATHEMATICS CHAPTER 4 MULTIPLICATION CONCEPTS

STD III SUBJECT : MATHEMATICS CHAPTER – 4 MULTIPLICATION

CONCEPTS TO BE COVERED: Multiplication as repeated addition Multiplication of 3 -digit number by 1 -digit number without/with regrouping. Multiplication of 2 digit number by 2 digit number. Multiplication of 3 digit number by 2 digit number. Multiplication by 10, 100 and 1000 Properties of multiplication Word problems related to the concept of multiplication.

LEARNING OBJECTIVES The Students will be able to: know that multiplication is repeated addition. perform multiplication of 3 digit numbers by 1 digit numbers without and with regrouping. understand the process of multiplication of 2 digit numbers and 3 digit numbers by 2 digit numbers. identify and use the various properties of multiplication. multiply a number by 10, 100 and 1000. use the concept of multiplication with the multiples of 10, 100 and 1000. apply the knowledge of multiplication in real life situations. Identify the terms multiplicand, multiplier and product.

TEACHING STRATEGIES USED: Interactive Self method made video PPT Self planned activities a) My Marvellous Multiplication b) Pick and Frame Worksheets (3 levels)

KNOWING MULTIPLICATION Multiplication is a quick way to add equal numbers. Ex. 3+3+3 = 15 We can write it as 5 times 3 or Multiplication is also known as repeated addition 5 X 3 = 15 Or 4 times 2 = 4 x 2=8

2 + 4 https: //www. youtube. co m/watch? v=D 6 aj. Lh 0 is. G 8 (Video Link) 2 + x 2 = 8 2 + 2=8 From the above examples we can derive that multiplication is nothing but repeated addition

Different terms used in multiplication 1. Multiplicand- It is the number to be multiplied. 2. Multiplier- It is the number by which the multiplicand is multiplied. 3. Product- The answer in multiplication is known as product. Ex. 45 MULTIPLICAND x 2 MULTIPLIER 90 PRODUCT

MULTIPLICATION OF 3 DIGIT NUMBER BY ONE DIGIT NUMBER E. g. 564 x 3 Step – 1 564 Multiply the ones by 3 x Think: 4 x 3 = 12 3

Step -2 1 Regroup 12 ones as 564 1 ten and 2 ones. X 3 Write down the ones 2 under ones place. Carry the 1 ten to tens place. Think: 12 ones = 1 tens + 2 ones

Step – 3 Then multiply tens digit by 3. Add the one ten 1 you carried over. 564 x 3 92 Think : 18 tens + 1 ten = 19 tens = 1 hundred + 9 tens Write 9 at the tens place and carry 1 to hundreds place

Step – 4 Now multiply hundreds digits by 3. Add one hundred 1 1 you carried over. 564 x 3 1692 Think : 15 hundreds+1 hundreds = 16 hundreds = 1 thousand + 6 hundreds Write 6 at hundreds place and 1 at thousand place Product = 1692

Multiplication by 10, 1000 Ex: 2 x 10 =20 Ex : 2 x 100=200 Ex: 3 x 1000=3000 3 x 10=30 3 x 100=300 4 x 1000=4000 4 x 10=40 4 x 100=400 5 x 1000=5000 6 x 10=60 9 x 100=900 9 x 1000 =9000 What we can observe from the above examples? We can observe that

Rule: We observe that 5 x 10=50 = Just multiply the digits by leaving 0 then add 0 in the ones place in the product 16 x 100 = 1600 Just multiply the digits by leaving 00 then add two zeroes i. e is in the ones, and tens place

35 x 1000=35000 Just we multiply 35 x 1=35 followed by three zeroes Same thing will be observed when we multiply any number by 30, 400, 600 etc For example : 34 x 30 = (34 x 3)x 10 = 102 x 10 =1020

For example: 45 x 200 =(45 x 2)x 100 = 90 x 100 =9000 For example: 67 x 3000= (67 x 3)x 1000 = 201 x 100 = 20100 We can conclude that first the digits should be multiplied then followed by number of digits

MULTIPLICATION OF 2 DIGIT NUMBER BY 2 DIGIT NUMBER E. g. 2 8 x 3 2 Step 1 : First multiply 28 by 2 ones 2 8 x 3 2 56

Next multiply 28 by 3 tens and write below. ( 28 x 3 = 840) 28 x 32 https: //www. youtube. com/w atch? v=zk. UUNo 90 e. SE&t=62 s 56 (Video Link) Finally add the +840 Two products 896 (28 x 32 = 896)

MULTIPLICATION OF 3 DIGIT NUMBER BY 2 DIGIT NUMBER Ex. 425 x 23 Step – 1 Multiply 425 by 3 ones. 425 x 23 1275

Step – 2 Now multiply 425 by 2 tens and write below. 425 (425 x 20 = 8500) x 23 1275 +8500 9775 Lastly add the two products (Product of 425 and 23 is 9775)

Activity using Art Integration My Marvellous Multiplication

Learning Objectives The students will be able to : Know the process of multiplication of 2 -digit by 2 -digit number and 3 -digit number by 2 -digit number. Remember the operations involved in it. Multiply the give number using column method.

Method : Explanation by teacher https: //www. youtube. com/watch? v=71 YOIdg 7 Ts 4 &feature=youtu. be (Video Link)

Learning Outcomes The students : Know the process of multiplication of 2 -digit by 2 -digit number and 3 -digit number by 2 -digit number. Remember the operations involved in it. Multiply the give number using column method.

PROPERTIES OF MULTIPLICATION Property 1 If you change the order of the numbers , the product remains the same. Ex. 6 x 4 = 24 4 x 6 = 24 It is also known as commutative property

PROPERTY - 2 The product of a number and 1 is the number itself. Ex. 23 x 1 = 23 123 x 1 = 123 It is also known as identity property of multiplication.

PROPERTY – 3 The product of any number and zero is 0. Ex. 56 x 0 = 0 143 x 0 = 0 It is also known as zero property of multiplication. https: //www. youtube. com/watch? v=Lv 6 T p. K-3 BFI (Video Link)

Activity for daily life Multiplication GROUP ACTIVITY : PICK and FRAME

Learning Objectives: The students will be able to Frame word problems for the given multiplication facts Identify the situations related to multiplication Develop the vocabulary Materials :

Method: Explanation by the teacher https: //www. youtube. com/watch? v=Lh. ANuyv. M 0 P 4&f eature=youtu. be (Video Link)

Learning outcomes The students : * Identify the use of multiplication in our daily life situations * develop speaking skills *interlink English with Mathematics * develop social values

MATHEMATICS IN DAILY LIFE PROBLEM: If a box contains 25 toffees, how many toffees are in 28 such boxes ? Solution: Number of toffees in one box = 25 H T O Number of boxes = 28 2 Number of toffees in 28 boxes = 25 x 28 X 28 boxes contain 700 toffees 2 5 8 2 0 0 + 5 0 0 7 0 0

LEARNING OUTCOME: Students: know that multiplication is repeated addition. work upon multiplication of 3 digit numbers by 1 digit numbers without and with regrouping. understand the process of multiplication of 2 digit numbers and 3 digit numbers by 2 digit numbers. identify and use the various properties of multiplication. know how to multiply a number by 10, 100 and 1000. use the concept of multiplication with the multiples of 10, 100 and 1000. apply the knowledge of multiplication in real life situations. identify the terms multiplicand, multiplier and product.

Project assigned : Multiplication wheel for table 35 and 49 Multiplication wheels for 20, 2000 as shown below

Project 2: Make an Intro array city

Concept Mapping