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Mastering Fraction Division: Models & Story Problems

Enhance fraction division skills through models & multistep story problems. Learn to illustrate equations using division models & solve complex word problems. Explore concepts like greatest common factor, improper fractions, & equivalent equations for deeper understanding.

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Mastering Fraction Division: Models & Story Problems

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  1. Chapter 2FractionsPart 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 two numbers with a product of 1 (flipped upside down) Reciprocal – Scaling- to increase or decrease a ratio a fraction in which the GCF of the numerator and denominator is 1 Simplest Form-

  5. 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. Example: • Next, Divide the wholes in the top bar, to represent the denominator of the dividend. • Then, shade the specified fraction. Example: • Now, divide the wholes of the bottom bar to represent the denominator of the divisor. Example: • 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. Example:

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

  8. Watch This Learn Zillion

  9. 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 two numbers with a product of 1 (flipped upside down) Reciprocal – Scaling- to increase or decrease a ratio a fraction in which the GCF of the numerator and denominator is 1 Simplest Form-

  14. 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. Explore Chart Paper - Group Work

  17. 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 two numbers with a product of 1 (flipped upside down) Reciprocal – Scaling- to increase or decrease a ratio a fraction in which the GCF of the numerator and denominator is 1 Simplest Form-

  22. 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. 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 two numbers with a product of 1 (flipped upside down) Reciprocal – Scaling- to increase or decrease a ratio a fraction in which the GCF of the numerator and denominator is 1 Simplest Form-

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

  32. 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 two numbers with a product of 1 (flipped upside down) Reciprocal – Scaling- to increase or decrease a ratio a fraction in which the GCF of the numerator and denominator is 1 Simplest Form-

  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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