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Review Factors – Multiples – Prime Numbers

Review Factors – Multiples – Prime Numbers. Learn Alberta http://www.learnalberta.ca/content/mesg/html/math6web/index.html?page=lessons&lesson=m6lessonshell07.swf. Common Denominators. What is a common denominator ?. Common Denominators. What is a common denominator ?.

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Review Factors – Multiples – Prime Numbers

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  1. Review Factors – Multiples – Prime Numbers Learn Alberta http://www.learnalberta.ca/content/mesg/html/math6web/index.html?page=lessons&lesson=m6lessonshell07.swf

  2. Common Denominators • What is a common denominator?

  3. Common Denominators • What is a common denominator?

  4. Common Denominators • What is a common denominator?

  5. Determine the “Equivalent Fraction” • Which of the models below are examples of common denominators?

  6. Determine the “Equivalent Fraction” • Which of the models below are examples of common denominators?

  7. Equivalent Fractions Equivalent Fractions http://www.learnalberta.ca/content/memg/index.html?term=Division03/Equivalent_Fractions/index.html

  8. Modelling Equivalent Fractions • How can you make the fraction into more equal parts (a larger, but equal fraction) • Multiples: the product of a given number and a natural number like 1,2,3,... • Example: multiples of 2 are 4,6,8,10,...

  9. Make Equivalent Fractions • Make equivalent for the examples below. • 1. • 2. 1 = 3 = 6 = = 12 = 15 • 3 9 12 27 36

  10. Make Equivalent Fractions • Make equivalent for the examples below. • 1. • 2. = = = = =

  11. Make Equivalent Fractions • Make equivalent for the examples below. • 1. 4 = = = = • 5 • 2. 2 = = = = • 3 • Have you notice a pattern (rule) of equivalent fractions? • Hint…denominators and numerators

  12. Make Equivalent Fractions Using Pattern Blocks make equivalent fractions for: 142 2 6 3

  13. Homework • Page 234-235: • #7a, 8a, 10ab, 11, 12cd, 13ab, 16 • Extend #19, 20, 21

  14. Adding Fractions of Different Denominators Multiples http://www.learnalberta.ca/content/memg/index.html?term=Division03/Multiple/index.html Common Multiples http://www.learnalberta.ca/content/memg/index.html?term=Division03/Common_Multiple/index.html

  15. Adding Fractions of Different Denominators • You will be able to model and understand how to add fractions of different denominators • 1 + 1 • 2 3 • How can you add the two fractions together if they are NOT equal • sections (denominators)? Hint…find the lowest common multiple! New Addition Fraction Statement

  16. Adding Fractions of Different Denominators • You will be able to model and understand how to add fractions of different denominators • 1 + 1 • 2 3 • How can you add the two fractions together if they are NOT equal • sections (denominators)? Hint…find the lowest common multiple! New Addition Fraction Statement + 2 6 6

  17. Adding Fractions of Different Denominators • You will be able to model and understand how to add fractions of different denominators • + • How can you add the two fractions together if they are NOT equal • sections (denominators)? Hint…find the lowest common multiple! New Addition Fraction Statement

  18. Adding Fractions of Different Denominators • You will be able to model and understand how to add fractions of different denominators • + • How can you add the two fractions together if they are NOT equal • sections (denominators)? Hint…find the lowest common multiple! New Addition Fraction Statement

  19. What have you NOTICED??? • When adding fractions of different denominators the rules are…

  20. What have you NOTICED??? • When adding fractions of different denominators the rules are… • Both denominators must be the same • Find the lowest common denominator (multiple) • The numerators are multiplied by the same # it’s denominator is multiplied by.

  21. What have you NOTICED??? • When adding fractions of different denominators the rules are… • Both denominators must be the same • Find the lowest common denominator (multiple) • The numerators are multiplied by the same # it’s denominator is multiplied by.

  22. Write the Subtraction or Addition Statement • a) _ • b) • + • c) • _

  23. Write the Subtraction or Addition Statement • a) • b) • c)

  24. Write the Subtraction or Addition Statement • a) • b) • c)

  25. Homework • Complete pages… • Page 242-243 • #4ab,5ab, 6ab, 8, 9bc, 10bc, • 11bc, 13, 14, 15, 18a, 19a • Extend #20, 21

  26. Practical Quiz • Solve the following by: • Drawing what it looks like using fractions strips • What are the new fractions (common denominators) • 3 + 1 = 1 - 1 = • 6 6 3

  27. Mixed Numbers Learn Alberta – Mixed Numbers and Improper Fractions http://www.learnalberta.ca/content/mesg/html/math6web/index.html?page=lessons&lesson=m6lessonshell02.swf

  28. Mixed Numbers What is a mixed number? : contains a whole number with a fraction. : is the cousin of the improper fraction. 3 6 1 9 6 = Use pattern blocks to try and prove!!! How did you show this?

  29. Mixed Numbers What is a mixed number? : contains a whole number with a fraction. : is the cousin of the improper fraction. 2 1 2 7 2 2 3 8 3 3 = = Use pattern blocks to try and prove!!! How did you show this?

  30. Mixed Numbers What is a mixed number? : contains a whole number with a fraction. : is the cousin of the improper fraction. 2 1 2 7 2 2 3 8 3 3 = = How could I draw these mixed numbers! How did you show this?

  31. Add Mixed Numbers 1 4 2 4 • 1 + 1 • 1 + 1 + + + = 2 • What steps do you think need to be done in order to find • the answer? 1 4 2 4 3 4

  32. Add Mixed Numbers • 1 + 1 • Steps: • Add the whole #’s • Find Lowest Common Denominators • Add the numerators • Place the fraction into lowest terms 3 8 4 8

  33. Add Mixed Numbers (with uncommon fractions) • 2 + 4 1 3 2 5 • Steps • Add the whole #’s • Find Lowest Common Denominators • Add the numerators • Place the fraction into lowest terms

  34. Improper Fractions Mixed Numbers 23 = 6 18 = 5

  35. Add Mixed Numbers • Steps • Add the whole #’s • Find Lowest Common Denominators • Add the numerators • Place the fraction into lowest terms

  36. Add Mixed Numbers • Steps • Add the whole #’s • Find Lowest Common Denominators • Add the numerators • Place the fraction into lowest terms

  37. Add Mixed Numbers • Xavier got a new job at Perkins. At the start of his shift he • made 2 ½ chocolate pies for morning deserts. In the • afternoon he made another 3 1/3 pies. How many pies did • he make in all...show your work in both an illustration and • in addition statements.

  38. Homework • Complete pages… • Page 249: • # 4ab, 6ac, 8a, 10ef, 11ed, 13, • 18 (Good Luck with this one…)

  39. Subtracting Mixed Numbers 2 4 1 4 • 3 1 • 3 1 + = = 2 • What steps do you think need to be done in order to find • the answer? 2 4 1 4 1 4

  40. Subtracting Mixed Numbers 2 5 1 4 • 5 2 • Steps • Add the whole #’s • Find Lowest Common Denominators • Add the numerators • Place the fraction into lowest terms

  41. Subtracting Mixed Numbers • Steps • Add the whole #’s • Find Lowest Common Denominators • Add the numerators • Place the fraction into lowest terms

  42. Subtracting Mixed Numbers

  43. Subtracting Improper Fractions • Steps • Add the whole #’s • Find Lowest Common Denominators • Add the numerators • Place the fraction into lowest terms

  44. Subtracting Mixed Numbers • In gym class Millz ran 3 3/4 laps. Taylor ran 27/12 • laps. Who ran further and by how much? Show your • work...

  45. Homework • Complete pages… • Page 257-258: • # 3ac, 4c, 5ef, 6cd, 7c, 8b, 9f, 11, 16, 20

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