Understanding and Solving Fractions Division in Mathematics

Explore the concepts of dividing fractions, interpreting mathematical sentences, and applying fraction operations through real-world scenarios. Engage in warm-up activities, study essential questions, and solve problems involving dividing whole numbers by fractions. Enhance skills in division, multiplication, and fractional calculations to compute quotients effectively.

• Fractions Division
• Mathematics
• Real-World Applications
• Interactive Learning
• Problem-Solving

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1. Lesson Divide Fractions

2. [OBJECTIVE] The student will interpret and compute quotients of fractions in mathematical and real-world situations.

3. [MYSKILLS] Division of whole numbers Fraction operations Multiplication

4. [ESSENTIALQUESTIONS] 1. Why is it important to know how to build a model for division of fractions? 2. What does a division sentence mean? 3. What are the steps for dividing a fraction by a fraction?

5. [Warm-Up] Begin by completing the warm-up for this lesson.

6. SOLVE Problem Introduction DIVIDE FRACTIONS

7. [LESSON] SOLVE Mr. Bryce has 4 needs to fill 1 be able to fill? 5 of a quart of strawberries. He 4 quart jars. How many jars will he

8. [LESSON] SOLVE S Study the Problem Underline the question.

9. [LESSON] SOLVE Mr. Bryce has 4 needs to fill 1 be able to fill? 5 of a quart of strawberries. He 4 quart jars. How many jars will he

10. [LESSON] SOLVE S Study the Problem Underline the question. This problem is asking me to find the number of jars he can fill.

11. Concrete DIVIDING WHOLE NUMBERS BY FRACTIONS

12. Dividing Whole Numbers by Fractions Concrete 2 ? ? What is the meaning of the division fact 2 ? ?? How many groups of ? ? are in 2 whole units?

13. Dividing Whole Numbers by Fractions Concrete 2 ? ? Let s build the problem with our fraction kits. Let s start with two whole units.

14. Dividing Whole Numbers by Fractions Concrete 2 ? ? Identify the divisor. 1 ? ? 1

15. Dividing Whole Numbers by Fractions Concrete 2 ? ? What is the meaning of the divisor? 1 It tells us the size of the items. 1

16. Dividing Whole Numbers by Fractions Concrete 2 ? ? Place ? side facing down, under the whole units so that we completely cover both whole units. ? units, label 1 1

17. Dividing Whole Numbers by Fractions Concrete 2 ? ? How many yellow strips, or groups of ? ? units, are equal to 2 whole units? 1 8 1

18. Dividing Whole Numbers by Fractions Concrete 2 ? ? What is the meaning of the division fact 2 ? ?? How many groups of ? ? are in 2 whole units?

19. Dividing Whole Numbers by Fractions Concrete 2 ? ? Let s build the problem with our fractions kits. What do we start with for our model? 2 whole units

20. Dividing Whole Numbers by Fractions Concrete 2 ? ? Identify the divisor. 1 ? ? 1

21. Dividing Whole Numbers by Fractions Concrete 2 ? What does the divisor mean? The divisor tells us how many sections to divide the whole number into ? 1 1

22. Dividing Whole Numbers by Fractions Concrete 2 ? ? Do we have a fraction strip that is ? ?? 1 No 1

23. Dividing Whole Numbers by Fractions Concrete 2 ? ? How can we represent ? 1 ?? Combine 2 of the ? ? fractions strips. 1

24. Dividing Whole Numbers by Fractions Concrete 2 ? ? 1 1 Place groups of two ? facing down, under the whole units so that we completely cover both whole units. ? units, label side

25. Dividing Whole Numbers by Fractions Concrete 2 ? ? 1 1 How many groups of two ? equal to 2 whole units? ? units are 3

26. Dividing Whole Numbers by Fractions Concrete 2 ? ? 1 1 How many groups of ? ? are in 2 whole units? 3

27. Concrete to Pictorial DIVIDING FRACTIONS BY FRACTIONS

28. Dividing Fractions by Fractions Concrete to Pictorial ? ? ? ? What is the meaning of the division fact? How many groups of ? ? are in ? ??

29. Dividing Fractions by Fractions Concrete to Pictorial ? ? ? ? Let s build the problem with our fractions kits. What fraction do we represent? ? ?

30. Dividing Fractions by Fractions Concrete to Pictorial ? ? ? ? What is the divisor? 1 ___ 4 ? ?

31. Dividing Fractions by Fractions Concrete to Pictorial ? ? ? ? What does the divisor mean? 1 ___ 4 The divisor tells us how many sections to divide the dividend into

32. Dividing Fractions by Fractions Concrete to Pictorial ? ? ? ? Place ? side facing down, under the ? 1 ___ 4 ? units, label ? units.

33. Dividing Fractions by Fractions Concrete to Pictorial ? ? ? ? How many groups of ? units does it take to equal a ? ? unit. ? 1 ___ 4 2

34. Dividing Fractions by Fractions Concrete to Pictorial ? ? ? ? What is the meaning of the division fact? How many groups of ? ? are in ? ??

35. Dividing Fractions by Fractions Concrete to Pictorial ? ? ? ? Let s build the problem with our fraction kits. What fraction do we represent? ? ? with two ? ? units

36. Dividing Fractions by Fractions Concrete to Pictorial ? ? ? ? What is the divisor? 1 1 ___ 3 ___ 3 ? ?

37. Dividing Fractions by Fractions Concrete to Pictorial ? ? ? ? What is the meaning of the divisor? The divisor tells us how many sections to divide the dividend into. 1 1 ___ 3 ___ 3

38. Dividing Fractions by Fractions Concrete to Pictorial ? ? ? ? Place ? side facing down, under the ? so that they completely cover these units. ? units, label 1 1 ___ 3 ___ 3 ? units

39. Dividing Fractions by Fractions Concrete to Pictorial ? ? ? ? How many groups of ? ? units does it take to equal a ? unit. 1 1 ___ 3 ___ 3 ? 6

40. Dividing Fractions by Fractions Concrete to Pictorial ? ? ? ? What is the meaning of the division fact? How many groups of ? ? are in ? ??

41. Dividing Fractions by Fractions Concrete to Pictorial ? ? ? ? Let s build the problem with our fraction kits. What fraction do we represent? Lay a ? ? unit on your desk.

42. Dividing Fractions by Fractions Concrete to Pictorial ? ? ? ? What is the divisor? 1 ___ 2 ? ?

43. Dividing Fractions by Fractions Concrete to Pictorial ? ? ? ? What is the meaning of the divisor? The divisor tells us how many sections to divide the dividend into. 1 ___ 2

44. Dividing Fractions by Fractions Concrete to Pictorial ? ? ? ? Place ? side facing down, under the ? that they completely cover these units. ? units, label 1 ___ 2 ? unit so

45. Dividing Fractions by Fractions Concrete to Pictorial ? ? ? ? You can see that two of the green strips show more than one half. 1 ___ 2

46. Dividing Fractions by Fractions Concrete to Pictorial ? ? ? ? Place two ? label side down, under the ? ? units, 1 ___ 2 ? unit.

47. Dividing Fractions by Fractions Concrete to Pictorial ? ? ? ? ? ? is half of the green ? strip, so we need one green strip and another half of a green strip to equal the one half strip. 1 ___ 2 ?

48. Dividing Fractions by Fractions Concrete to Pictorial ? ? ? ? How many of the one third units cover the one half unit? 1 and ? ? green units completely cover the ? ? unit. 1 ___ 2

49. Dividing Fractions by Fractions Concrete to Pictorial ? ? ? ? How many groups of one third are in one half? There are 1? thirds in ? 1 ___ 2 ? groups of ?.

50. Dividing Fractions by Fractions Concrete to Pictorial ? ? ? ? What is the division fact? 1 ___ 2 ? ? ? ? = 1? ?

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