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Chapter 2 Fractions Part 3

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Presentation on theme: "Chapter 2 Fractions Part 3"— Presentation transcript:

1 Chapter 2 Fractions Part 3

2 Day….. 1 – Fraction Division Models 2 –Multistep Story Problems 3 –Equivalent Equations 4 –Equivalent Equations 5-Quick Quiz

3 Day 1

4 Vocabulary Dividend- The number being divided in a division equation. (inside or 1st number) Divisor- The number doing the dividing in a division equation. (outside or 2nd number) Equivalent- equal or the same Fraction- a number that represents part of a whole or part of a set Greatest Common Factor- the greatest of the common factors of two or more numbers a fraction with a numerator that is greater than or equal to the denominator Improper Fraction- Mixed Number- a number that has a whole number part and a fraction part Product- the answer to a multiplication equation Quotient- the answer to a division equation Reciprocal – two numbers with a product of 1 (flipped upside down) Scaling- to increase or decrease a ratio Simplest Form- a fraction in which the GCF of the numerator and denominator is 1

5 Use models to illustrate division of fractions.
I Can…… Use models to illustrate division of fractions.

6 Division Models Essential Understanding:
Double bar graphs/ fraction strips are an easy way to illustrate fraction equations involving division. To do this: Begin by drawing two bars of equal length, one above the other. The top bar will represent the dividend and the bottom bar will represent the divisor. Remember to draw the missing portions of wholes, if the dividend is a proper fraction. Example: Now, divide both bars into equal sized parts to represent any wholes in your dividend. If you dividend is a fraction the entire bar will represent 1 whole. Next, Divide the wholes in the top bar, to represent the denominator of the dividend. Then, shade the specified fraction. Now, divide the wholes of the bottom bar to represent the denominator of the divisor. Finally, use the numerator of the divisor to determine how many parts per group need to be circled. The number of groups you can create is the answer to the equations. Don’t forget to account for any unfinished groups.

7 Types of Division Models
Double Bar / Fraction Strips Example: Double Number Line Picture Models Multiplication Models

8 Watch This Learn Zillion

9 On a post-it note, complete a Q & A for today’s lesson.
Exit Ticket On a post-it note, complete a Q & A for today’s lesson.

10 Wrap it Up Review Questions Station Work

11 Day 2

12 Bell Work Create fraction models to illustrate the following equations. ½ of 8 = 8 ÷ ½ = ½ ÷ 8 = Explain the differences and similarities.

13 Vocabulary Dividend- The number being divided in a division equation. (inside or 1st number) Divisor- The number doing the dividing in a division equation. (outside or 2nd number) Equivalent- equal or the same Fraction- a number that represents part of a whole or part of a set Greatest Common Factor- the greatest of the common factors of two or more numbers a fraction with a numerator that is greater than or equal to the denominator Improper Fraction- Mixed Number- a number that has a whole number part and a fraction part Product- the answer to a multiplication equation Quotient- the answer to a division equation Reciprocal – two numbers with a product of 1 (flipped upside down) Scaling- to increase or decrease a ratio Simplest Form- a fraction in which the GCF of the numerator and denominator is 1

14 Solve multistep story problems involving the division of fraction.
I Can…. Solve multistep story problems involving the division of fraction.

15 Story Problems Essential Understanding:
To solve multistep word problems, easily, follow this procedure. Read and visualize the problem. Illustrate what you have visualized . Find key vocabulary that helps you decide what operations to use. (Hint: In multistep problems, you will notice more than one) Write down what you know and questions you need to answer. Determine the order of events (what has to happen first? What should be the final outcome?). Write equations using the determined operations. Determine if your equations makes sense. Solve equations in order, carrying information over as necessary. Determine if your answer makes sense. Check or Revise, as needed.

16 Chart Paper - Group Work
Explore Chart Paper - Group Work

17 Use a two different models to illustrate the following equation.
Exit Ticket Use a two different models to illustrate the following equation. 2 ÷ ⅜ =

18 Wrap it Up Review Questions Station Work

19 Day 3

20 Bell Work Taylor has cow pasture that has an area of 300yd2. The length of his pasture is 12 ½ yd2. What is the width? He wants to build a barn that covers 1/5 of the pasture. How much pasture will be left for the cows to graze?

21 Vocabulary Dividend- The number being divided in a division equation. (inside or 1st number) Divisor- The number doing the dividing in a division equation. (outside or 2nd number) Equivalent- equal or the same Fraction- a number that represents part of a whole or part of a set Greatest Common Factor- the greatest of the common factors of two or more numbers a fraction with a numerator that is greater than or equal to the denominator Improper Fraction- Mixed Number- a number that has a whole number part and a fraction part Product- the answer to a multiplication equation Quotient- the answer to a division equation Reciprocal – two numbers with a product of 1 (flipped upside down) Scaling- to increase or decrease a ratio Simplest Form- a fraction in which the GCF of the numerator and denominator is 1

22 Determine equivalent equations.
I Can…. Determine equivalent equations.

23 Equivalent Equations Essential Understanding:
You can create equivalent equations for the division of fractions using the following methods. Mixed Numbers and Improper Fractions Scaling Keep Change Flip Commutative Property Common Denominators One Step Equations Using Variables

24 Complete the provided exercises.
Exit Ticket Complete the provided exercises.

25 Wrap it Up Review Questions Station Work

26 Day 4

27 Bell Work Using the following equation, create as many equivalent equations as you can. 2⅗ ÷ ½

28 Vocabulary Dividend- The number being divided in a division equation. (inside or 1st number) Divisor- The number doing the dividing in a division equation. (outside or 2nd number) Equivalent- equal or the same Fraction- a number that represents part of a whole or part of a set Greatest Common Factor- the greatest of the common factors of two or more numbers a fraction with a numerator that is greater than or equal to the denominator Improper Fraction- Mixed Number- a number that has a whole number part and a fraction part Product- the answer to a multiplication equation Quotient- the answer to a division equation Reciprocal – two numbers with a product of 1 (flipped upside down) Scaling- to increase or decrease a ratio Simplest Form- a fraction in which the GCF of the numerator and denominator is 1

29 Create equivalent equations involving the division of fractions.
I Can…. Create equivalent equations involving the division of fractions.

30 Equivalent Equations Essential Understanding:
You can create equivalent equations for the division of fractions using the following methods. Mixed Numbers and Improper Fractions Scaling Keep Change Flip Commutative Property Common Denominators One Step Equations Using Variables

31 Please clear your desk of everything except for a dry erase marker.
Let's practice Please clear your desk of everything except for a dry erase marker.

32 Complete the provided exercises.
Exit Ticket Complete the provided exercises.

33 Wrap it Up Review Questions Station Work

34 Day 5

35 Bell Work Silent Study

36 Vocabulary Dividend- The number being divided in a division equation. (inside or 1st number) Divisor- The number doing the dividing in a division equation. (outside or 2nd number) Equivalent- equal or the same Fraction- a number that represents part of a whole or part of a set Greatest Common Factor- the greatest of the common factors of two or more numbers a fraction with a numerator that is greater than or equal to the denominator Improper Fraction- Mixed Number- a number that has a whole number part and a fraction part Product- the answer to a multiplication equation Quotient- the answer to a division equation Reciprocal – two numbers with a product of 1 (flipped upside down) Scaling- to increase or decrease a ratio Simplest Form- a fraction in which the GCF of the numerator and denominator is 1

37 I Can…. show what I know!

38 Quick Quiz Please clear your desk of everything, except for a pencil and blank piece of paper.

39 Exit Ticket Create a KWL chart for Chapter 1 - Decimals Know Want to Know What I Learned

40 Wrap it Up Review Questions Station Work


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