Multiply By A Multiple Of Ten Using Place Value
Subject: Math
Grade: Third grade
Topic: Two-Digit Multiplication
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Multiplying by Multiples of Ten
– Learn basic multiplication
– Multiples of ten: easy & fun!
– Multiplying by 10, 100, 1000 adds zeros to the number
– Place value in multiplication
– Understand how digits shift when multiplying by 10
– Practice with examples
– Example: 5 x 10 = 50, 23 x 10 = 230
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This slide introduces third graders to the concept of multiplying by multiples of ten, emphasizing the simplicity and patterns that emerge when using place value. Begin by reviewing basic multiplication facts to ensure a solid foundation. Explain that when we multiply by 10, 100, or 1000, we’re essentially adding zeros to the number, which is a shortcut that makes multiplication quicker and easier. Highlight how the digits in a number shift places to the left when we multiply by ten. Provide several examples and encourage students to notice the patterns. For instance, multiplying 5 by 10 gives us 50, where the 5 has moved one place to the left, and a zero is added to hold the place. This concept will be practiced with more examples to reinforce understanding.
Understanding Multiplication
– Multiplication: Repeated addition
– Example: 3 x 4 equals 4+4+4
– Instead of adding 4 three times, we multiply 3 by 4
– Visualize with object groups
– Picture 3 groups of 4 items to understand multiplication
– Relate to place value
– Multiplying by 10 shifts place value to the left
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This slide introduces the concept of multiplication to third graders by relating it to repeated addition, a concept they are familiar with. Start by explaining that multiplication is a shortcut for adding the same number multiple times. Use the example 3 x 4 to show that it’s the same as adding 4 three times. To help students visualize, use groups of objects, such as circles or counters, to demonstrate the concept. Then, connect this understanding to place value, explaining that when we multiply by a multiple of ten, it’s like shifting the numbers over to the left in their place value positions. This will set the stage for understanding larger multiplications using place value.
Understanding Place Value in Multiplication
– What is Place Value?
– Place value determines digit value
– The position of a digit in a number defines its value
– Example: Number 50
– In 50, ‘5’ is in the ‘tens’ place, making it worth 50
– Multiplying with place value
– When we multiply, each digit’s value is important
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Begin the lesson with a review of place value, ensuring students understand that the position of a digit within a number determines its value. Use the number 50 as an example to illustrate that the ‘5’ is in the ‘tens’ place, giving it a value of 50. Emphasize that in multiplication, this concept is crucial as it helps us easily multiply by multiples of ten. For instance, multiplying 5 by 10 directly gives us 50, demonstrating the power of place value in simplifying multiplication. Encourage students to practice with different numbers to reinforce the concept.
Multiplying by Ten
– Understanding multiplication by 10
– Digits shift left on the place value chart
– Each digit’s place value increases by one position
– Example: 3 x 10 becomes 30
– The number 3 in the ‘ones’ place moves to the ‘tens’ place
– Practice with different numbers
– Try multiplying 4, 5, or 6 by 10 and observe
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This slide introduces the concept of multiplying by ten and its effect on place value. Emphasize that when we multiply a number by 10, each digit shifts one place to the left on the place value chart, making the number ten times larger. Use the example provided to show this visually, and then encourage students to practice with other numbers to solidify their understanding. Reinforce the concept by having students use place value charts and counters to represent the shift in position of the digits. This will help them visualize the process and understand the concept of multiplication by multiples of ten.
Multiplying by Multiples of Ten
– Understand multiples of ten
– Multiples of ten include 10, 20, 30, etc.
– Use place value for multiplication
– Place value helps us multiply easily
– Example: 4 x 20
– Think of 4 x 2, then add a zero to get 80
– Practice with different numbers
– Try multiplying 5 x 30 or 3 x 40 next!
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This slide introduces the concept of multiplying by multiples of ten, which is a foundational skill in understanding larger multiplication problems. Start by explaining what multiples of ten are, emphasizing the pattern that each multiple ends in zero. Then, show how place value simplifies the process: instead of multiplying large numbers, students can multiply single digits and adjust the place value by adding zeros. Use the example 4 x 20 to illustrate this, breaking it down into 4 x 2, and then adding a zero to account for the ten’s place. Encourage students to practice with different numbers to solidify their understanding. Provide additional examples and encourage students to explain their thought process to the class.
Let’s Practice Multiplication by Multiples of Ten!
– Example: Multiply 6 x 30
– 6 times 30 is our example problem
– Step 1: Multiply 6 x 3 first
– 6 x 3 equals 18, start with this
– Step 2: Add a zero to the product
– 18 becomes 180 when we add a zero
– Now, try some problems yourself!
– Solve 5 x 40, 7 x 20, and 9 x 50
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This slide is designed to help students understand the concept of multiplying by multiples of ten using place value. Start with a guided example, showing them how to multiply the basic number first (6 x 3) and then adjust for the multiple of ten by adding a zero to the result (to make 180). After the example, provide practice problems for the class to solve independently, reinforcing the concept. Possible activities include solving problems on the board, using manipulatives to represent the numbers, or working in small groups to encourage peer learning. Ensure that students understand the reason behind adding a zero, which is related to place value and the base-ten system.
Interactive Activity: Place Value Sliders
– Craft your Place Value Slider
– Multiply numbers by 10s using the slider
– Slide to show how digits shift when multiplying by 10, 100, etc.
– Discuss your results with classmates
– Understand multiplication with place value
– See how multiplying by 10 adds a zero to the number
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This interactive activity is designed to help students understand the concept of multiplication by multiples of ten through the use of a place value slider. Students will create their own slider to visually represent how digits move when we multiply by 10, 100, or more. Encourage students to use their sliders to multiply various two-digit numbers by multiples of ten and observe the pattern that emerges. Afterward, they should share their findings with the class to reinforce their understanding. As a teacher, prepare to guide them through the process, ensuring they recognize that the digits shift to the left, making the number larger, and a zero is added to the end of the number. Possible activities include multiplying different sets of numbers, peer teaching, and group discussions to compare results.
Class Activity: Multiplication Bingo
– Receive your unique Bingo card
– Solve multiplication problems
– Use place value to multiply by 10s
– Mark correct answers on Bingo
– Each correct answer gets you closer
– Aim for five in a row to win!
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This interactive game is designed to help students practice multiplying by multiples of ten using place value understanding. Each student will receive a Bingo card with different multiplication problems involving multiples of ten. As you call out problems, students will solve them and mark their answers. The first student to get five correct answers in a row (horizontally, vertically, or diagonally) shouts ‘Bingo!’ and wins. Prepare several rounds to give everyone a chance to win. Possible variations include using different multiples of ten, incorporating two-digit numbers, or creating themed Bingo cards. This activity reinforces place value concepts and mental math skills in a fun, engaging way.
Conclusion & Homework: Multiplying by Multiples of Ten
– Excellent effort in today’s lesson
– Homework: Multiplication Worksheet
– Finish the provided worksheet on multiplying by multiples of ten
– Practice is key to mastery
– The more you practice, the better you’ll understand
– Keep up the great work at home!
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Today’s class focused on understanding how to multiply by multiples of ten using place value. For homework, students are assigned a worksheet that reinforces this concept. It’s important for students to practice regularly to solidify their understanding of multiplication. Remind them that making mistakes is part of learning and encourage them to try each problem on their own before seeking help. The worksheet should be designed with a variety of problems, some of which should be challenging to ensure students apply the concept in different ways. Remember to praise their efforts and progress to build their confidence in their multiplication skills.