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Chapter 2 Fractions Part 2

Chapter 2 Fractions Part 2. Day…. Dividing fractions by fractions, whole numbers, and mixed numbers . Creating real world problems involving the multiplication and division of fractions Using models to solve problems involving the multiplication and division of fractions Exploring Fractions

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Chapter 2 Fractions Part 2

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  1. Chapter 2FractionsPart 2

  2. Day….. • Dividing fractions by fractions, whole numbers, and mixed numbers . • Creating real world problems involving the multiplication and division of fractions • Using models to solve problems involving the multiplication and division of fractions • Exploring Fractions • End of Unit Assessment

  3. Day 1

  4. Bell Work Hakeem’s front porch measures 9 3/4 feet by 4 feet. Estimate the area of his front porch. Justify and illustrate your solution path. (Hint: Area = Length x Width)

  5. Vocabulary Denominator- the bottom number of a fraction (the whole) Equivalent- equal or the same Fraction- • a number that represents part of a whole or part of a set the greatest of the common factors of two or more numbers Greatest Common Factor- Improper Fraction- a fraction with a numerator that is greater than or equal to the denominator a number that has a whole number part and a fraction part Mixed Number- Numerator- • the top number of a fraction (the 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-

  6. Multiplying Fractions(Review) Essential Understanding: • To multiply a fraction by a fraction, you simply multiply the numerator by numerator, then the denominator by denominator. • To multiply a fraction by a whole number or a mixed number, you must first change the number to an improper fraction. Then, multiply the numerators and then the denominators. • Write each product in simplest form. • Quick Check: Complete problems 1-6 on page 104

  7. I Can…. Divide Fractions.

  8. Dividing Fractions Essential Understanding: • To divide a fraction by a fraction, begin by finding the reciprocal of the divisor (flip the second fraction). Then simply multiply numerator by numerator and denominator by denominator. In other word,Keep Change Flip Examples: • To divide a fraction by a whole number or a mixed number, begin by changing the numbers to improper fractions before following the procedure for dividing fractions. In other words …… Keep Change Flip Examples: Quick Check: Complete problems ___ on page ____

  9. Watch This • http://learnzillion.com/lessons/1323-solve-division-of-fractions-problems-using-reciprocals

  10. Wrap it Up • Review • Questions • Exit Tickets

  11. Day 2

  12. Bell Work

  13. Vocabulary Denominator- the bottom number of a fraction (the whole) Equivalent- equal or the same Fraction- • a number that represents part of a whole or part of a set the greatest of the common factors of two or more numbers Greatest Common Factor- Improper Fraction- a fraction with a numerator that is greater than or equal to the denominator a number that has a whole number part and a fraction part Mixed Number- Numerator- • the top number of a fraction (the 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…. Create story context for equations involving the multiplication and division of fractions

  15. Explore Group Work Activity • You will be given a recipe. • Your job is to create , model, and solve 2 story problems using your recipe. (1 multiplication and 1 division) • Be sure you check your work with a calculator!!! • We will use these problems in class tomorrow, be ready to share. 

  16. Wrap it Up • Review • Questions • Exit Tickets

  17. Day 3

  18. Bell Work Create a story problem for 6 ÷ ¼ = Illustrate the solution

  19. Vocabulary Denominator- the bottom number of a fraction (the whole) Equivalent- equal or the same Fraction- • a number that represents part of a whole or part of a set the greatest of the common factors of two or more numbers Greatest Common Factor- Improper Fraction- a fraction with a numerator that is greater than or equal to the denominator a number that has a whole number part and a fraction part Mixed Number- Numerator- • the top number of a fraction (the 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-

  20. I Can…. Use models to represent fractions and fraction equations.

  21. Watch This • http://learnzillion.com/lessons/212-multiply-fractions-by-whole-numbers-using-bar-models • http://learnzillion.com/lessons/199-divide-whole-numbers-by-unit-fractions-using-visual-models • http://learnzillion.com/lessons/1383-solve-word-problems-involving-division-of-mixed-numbers-and-fractions-using-picture-models

  22. Fraction Models Essential Understandings: • Fractions can be modeled by using a single figure to represent part of a whole. Example: or By using multiple figures to represent part of a set. Example:

  23. Modeling Fraction Equations Essential Understandings: Fractions equation models can be used to solve • Addition Equations Example: • Subtraction Equations Example: • Multiplication Equations Example: • Division Equations Example:

  24. Wrap it Up • Review • Questions • Exit Tickets

  25. Day 4

  26. Bell Work Sandy wants to split one-half of a pan of brownies between herself and three friends. How much of the pan of brownies will each person get?

  27. Vocabulary Denominator- the bottom number of a fraction (the whole) Equivalent- equal or the same Fraction- • a number that represents part of a whole or part of a set the greatest of the common factors of two or more numbers Greatest Common Factor- Improper Fraction- a fraction with a numerator that is greater than or equal to the denominator a number that has a whole number part and a fraction part Mixed Number- Numerator- • the top number of a fraction (the 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-

  28. I Can…. solve problems involving the addition, subtraction, multiplication, and division of mixed numbers

  29. Chapter Review

  30. Explore Lab Rotations 1-8 You will have 15 minutes to complete 4 stations.

  31. Wrap it Up • Review • Questions • Exit Tickets

  32. Day 5

  33. Silent Review Look over your Chapter Review. Your Exam will begin in 10 minutes.

  34. Vocabulary Denominator- the bottom number of a fraction (the whole) Equivalent- equal or the same Fraction- • a number that represents part of a whole or part of a set the greatest of the common factors of two or more numbers Greatest Common Factor- Improper Fraction- a fraction with a numerator that is greater than or equal to the denominator a number that has a whole number part and a fraction part Mixed Number- Numerator- • the top number of a fraction (the 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-

  35. I Can…. Fluently multiply and divide fractions by fractions, whole numbers, and mixed numbers.

  36. Wrap it Up • Review • Questions • Quiz

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