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Warm-Up Complete Tuesday’s Decimal of the Day.
Be prepared to provide feedback over the material 0.32 5.3 3.2 5.15
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Dividing Decimals NBT.7
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Learning Targets I can explain how to divide a decimal by a whole number. I can explain how to divide a whole number by a decimal. What goals can we establish through our targets? How can we monitor our progress?
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Our Goals
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Let’s Review our Vocabulary!
Divisor Quotient Dividend With your partner, formulate an equation. Label the parts with the given vocabulary words. Be prepared to share!
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Let’s Review from yesterday…
animation.html Explain the process for dividing decimals by a whole number. What happens to the decimal? You Try to Warm-Up: Divide 89.5 ÷ 5
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Standard Algorithm: You Try a Few On Your Own
1.) Divide 15.6 ÷ 3 2.) Divide 7.82 ÷ 4. The decimal breaks through the roof. Multiply to find the products. 0.2 x 10 0.02 x 100 0.002 x 1,000
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You Watch Me Divide 15 ÷ 0.2 Multiply the divisor by as many 10's as necessary until we get a whole number. Remember to multiply the dividend by the same number of 10's. Step One: Let’s multiply 0.2 x 10 in order to slide the decimal to the right. 0.2 x 10 = 2 Step Two: Whatever we do to the divisor we MUST also do to the dividend. 15 x 10 = 150 Step Three: 15 ÷ 0.2 has become ten times larger. We now have 150 ÷ 2. 150 ÷ 2 = 75 THEREFORE 15 ÷ 0.2 = 75
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Which Power of Ten do you predict we will multiply by?
Work With Me Which Power of Ten do you predict we will multiply by? Divide 22 ÷ 0.02
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Which Power of Ten do you predict we will multiply by?
Work With Me Which Power of Ten do you predict we will multiply by? Divide 12 ÷ 0.003
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What do you notice? Divide 15 ÷ 0.2 (I multiplied by 10.)
Is there any connection between what we multiplied and our divisors? Divide 15 ÷ 0.2 (I multiplied by 10.) Divide 22 ÷ (We multiplied by 100.) Divide 12 ÷ (We multiplied by 1,000.) Do you predict that relationship will change if I have digits with values where there are now zeros? Why are we continuously multiplying, not dividing by Powers of Ten?
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You Try & I Will Help 1.) Divide 30 ÷ ) Divide 45 ÷ ) Divide136 ÷ 0.4 Which Power of Ten was used in the problems above? Create an equivalent exponent for that number.
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You Try & I Will Help 1.) Divide 72 ÷ ) Divide 75 ÷ ) Divide 232 ÷ 0.08 Which Power of Ten was used in the problems above? Create an equivalent exponent for that number.
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You Try & I Will Help 1.) Divide 9 ÷ ) Divide 6 ÷ ) Divide 232 ÷ 0.290 Which Power of Ten was used in the problems above? Create an equivalent exponent for that number.
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Label the Power of Ten that helped you solve each problem.
You Try a Few on Your Own 1.) Divide 9 ÷ ) Divide 84 ÷ ) Divide 136 ÷ 27.2 Label the Power of Ten that helped you solve each problem.
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Analyze My Work “What do you notice?”
Soon, we will be combining our two targets. We will have to analyze the problem to determine the process we use. We will have to ask ourselves does the decimal break through the roof OR do I need to multiply it by a Power of Ten? 1.) Divide ÷ 45 2.) Divide 98 ÷ 0.7
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PROVE IT!! Can you hit the target?
Can you explain how to divide a decimal by a whole number? Can you explain how to divide a whole number by a decimal? PROVE IT!!
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Corner Work With your group, you will create an explanation for dividing a whole number by a decimal. For example, 54 ÷ DO NOT USE THIS EXAMPLE. FORMULATE YOUR OWN. You may use the supplies provided to explain in words and number the steps you need to take. What do I need to include? An example of a division problem Complete sentences that describe what you are doing A connection of your work to our knowledge of Powers of Ten
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Standard Algorithm Exit Ticket
1.) Divide 108 ÷ ) Divide 132 ÷ ) Explain what happens to the decimal when you divide a whole number by a decimal.
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