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Lesson 2.3.5 Dividing Fractions
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Recap of what we have learned in Chapter 2.
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Modeled addition and subtraction on a number line with the Storm Chasers and Henry the hiker.
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Added and subtracted integers, fractions, and decimals using rules.
Christ of the Abyss -15 + (-7)
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Multiplied integers, fractions, and decimals using rules.
3 1 2 • body Weight Super Gravity!
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The only thing left is… Division!
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Today… We will review what you have learned in previous grades about dividing fractions. Section 1: Vocabulary Section 2: Strategy for dividing fractions and mixed numbers Section 3: Guided and independent practice
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Let’s get started… Section 1: Vocabulary
Reciprocals – Two numbers are reciprocals if their product = 1. To get the reciprocal of a fraction, just flip it over. The reciprocal of 𝟑 𝟒 is………… 𝟒 𝟑 𝟑 𝟒 x 𝟒 𝟑 = 𝟏𝟐 𝟏𝟐 = What is the reciprocal of 𝟓 𝟖 ? ________ The reciprocal of 5/8 is 8/5
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Moving on… We will review what you have learned in previous grades about dividing fractions. Section 1: Vocabulary Section 2: Strategy for dividing fractions and mixed numbers Section 3: Guided and independent practice
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K C F Strategy Keep It! Change It! Flip It!
Section 2: Strategy for Dividing Fractions and Mixed Numbers K C F Keep It! Change It! Flip It! I have a strategy that will help us remember how to divide fractions. It’s called KCF. Keep it! Change it! Flip it! Let’s take a look using a real-world example.
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Dividing Fractions 12 ÷ 1 𝟏 𝟑
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Convert Convert any mixed number to improper fractions. 12 ÷ 1 𝟏 𝟑 12 ÷ 𝟒 𝟑
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Keep it Change it Flip it
Apply Strategy Keep it Change it Flip it ÷ Discuss how to set up the problem using the KCF strategy. 12 1 3 4 ×
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Multiply 12 1 × 3 4 = = 𝟗 9 1 Now multiply to find your answer! 3 1
12 1 × 3 4 9 1 = = 𝟗 1 You may need to review how to cross cancel.
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Dividing Fractions 9 mph 12 ÷ 1 𝟏 𝟑
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Another Example
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Last section… We will review what you have learned in previous grades about dividing fractions. Section 1: Vocabulary Section 2: Strategy for dividing fractions and mixed numbers Section 3: Guided and independent practice
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Practice Section 3: Guided and independent practice
Check student notes answer keys for answers.
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Practice Check student notes answer keys for answers.
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Closure 𝟓 𝟔 ÷ 𝟒 𝟓 = What is our strategy for dividing fractions?
2) What is the reciprocal of 𝟐 𝟑 ? 3) How would you change the following division problem to a multiplication problem? 𝟏 𝟐 ÷ 𝟐 𝟑 = 𝟓 𝟔 ÷ 𝟒 𝟓 = 4) What MUST you do to all mixed numbers when multiplying and dividing? Keep it, Change it, Flip it (KCF) 𝟑 𝟐 𝟏 𝟐 × 𝟑 𝟐 𝟓 𝟔 × 𝟓 𝟒 Turn them to improper fractions!
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Time for Classwork!
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