5th Grade Module 3 – Lesson 3

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Presentation transcript:

5th Grade Module 3 – Lesson 3 Lesson 3: I can add fractions with unlike units using the strategy of creating equivalent fractions. 5th Grade Module 3 – Lesson 3

Time to Sprint! Your teacher will give you the sprint.

Adding Like Fractions Let’s add fractions mentally. Say answers as whole numbers when possible. 3 5 3 7 + 4 7 = 1 4 + 1 3 + 3 4 + 2 3 = 2 3 5 7 7 or 1 Two fourths! One third plus one third equals? 1 5 + 2 5 = Two thirds! One fourth plus one fourth equals? 5th Grade Module 3 – Lesson 3

Fractions as Division When I show a fraction, you write it as a division statement. 9 5 5 8 = 5 ÷ 8 9 5 = 9 ÷ 5 3 10 = 3 ÷ 10 13 6 = 13 ÷ 6 13 6 5 8 3 10 7 4 3 4 = 3 ÷ 4 3 4 5 2 5 2 = 5 ÷ 2 1 3 = 1 ÷ 3 1 3 7 4 = 7 ÷ 4 5th Grade Module 3 – Lesson 3

5th Grade Module 3 – Lesson 3 Application Problem Alex squeezed 2 liters of juice for breakfast. If he pours the juice equally into 5 glasses, how many liters of juice will be in each glass? *Bonus: How many milliliters are in each glass? 5th Grade Module 3 – Lesson 3

5th Grade Module 3 – Lesson 3 Application Problem Alex squeezed 2 liters of juice for breakfast. If he pours the juice equally into 5 glasses, how many liters of juice will be in each glass? *Bonus: How many milliliters are in each glass? 2 L 2 ÷ 5 = 2 5 5th Grade Module 3 – Lesson 3

2,000 ÷ 5 = 400 mL Application Problem *Bonus: How many milliliters are in each glass? 2,000 mL 2,000 ÷ 5 = 400 mL 5th Grade Module 3 – Lesson 3

4 fifths! 4 adults! 1 fifth plus 3 fifths? Concept Development What is 1 child plus 3 adults? 1 child + 3 adults = Why can’t we add this? 1 child + 3 adults? They aren’t the same unit! Can we change the unit? 1 person + 3 people = 4 people! We can add 1 fifth and 3 fifths because the units are the same. 4 fifths! Let’s think back to what we learned about adding in third grade… What is 1 adult plus 3 adults? 4 adults! 1 fifth plus 3 fifths? 5th Grade Module 3 – Lesson 3

1 2 + 1 4 We need to make like units before we add! Concept Development We need to make like units before we add! 1 2 + 1 4 Can we add this? 5th Grade Module 3 – Lesson 3

4 8 + 2 8 = 6 8 Concept Development 1 2 + 1 4 1 2 + 1 4 4 8 2 8 4 8 + 2 8 = 6 8 Let’s show these units on one model… How many units does each model have now? 5th Grade Module 3 – Lesson 3

2 6 + 3 6 = 5 6 Concept Development 1 3 + 1 2 1 3 + 1 2 2 6 3 6 2 6 + 3 6 = 5 6 Let’s show these units on one model… How many units does each model have now? 5th Grade Module 3 – Lesson 3

8 12 + 3 12 = 11 12 Concept Development 2 3 + 1 4 2 3 + 1 4 8 12 3 12 8 12 + 3 12 = 11 12 Let’s show these units on one model… How many units does each model have now? 5th Grade Module 3 – Lesson 3

6 15 + 10 15 = 16 15 16 15 = 1 1 15 Concept Development 2 5 + 2 3 2 5 + 2 3 6 15 10 15 6 15 + 10 15 = 16 15 16 15 = 1 1 15 How many units does each model have now? Let’s show these units on one model… 5th Grade Module 3 – Lesson 3

6 21 + 14 21 = 20 21 Concept Development 2 7 + 2 3 2 7 + 2 3 6 21 14 21 6 21 + 14 21 = 20 21 Let’s show these units on one model… How many units does each model have now? 5th Grade Module 3 – Lesson 3

Get Ready to Complete the Problem Set on Your Own! Complete Pages 3.B.14 & 3.B.15 You will have 15 minutes to work. Try your Best! 5th Grade Module 3 – Lesson 3

5th Grade Module 3 – Lesson 3 LET’S Debrief Go over your answers to the problem set for 1 minute with a partner. Don’t change your work. Now, let’s correct together. I will say the addition problem, you say the answer. How are the following problems related? (a) and (b) (a) and (c) (b) and (d) (d) and (f) 5th Grade Module 3 – Lesson 3

5th Grade Module 3 – Lesson 3 EXIT TICKET Page 3.B.16 5th Grade Module 3 – Lesson 3

Concept Development + 5th Grade Module 3 – Lesson 3 Student Worksheet for Whiteboard Use