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

2. Common Denominators common denominator What is a common denominator? DefinitionFraction -a common multiple of the fractions denominators Or -Making equivalent fractions with the same denominator (common) 1/31/2 Multiples of 3Multiples of 2

3. Common Denominators common denominator What is a common denominator? DefinitionFraction -a common multiple of the fractions denominators Or -Making equivalent fractions with the same denominator (common) 2/53/4 Multiples of 5Multiples of 4

4. Common Denominators common denominator What is a common denominator? DefinitionFraction -a common multiple of the fractions denominators Or -Making equivalent fractions with the same denominator (common) 5/81/6 Multiples of 8Multiples of 6

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

6. Determine the “Equivalent Fraction”

7. Equivalent Fractions http://www.learnalberta.ca/content/memg/index.html?term=Division03/Equivalent_Fr actions/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 2736

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: 142 263

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

14. Different Denominators 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/inde x.html

15. Different Denominators Adding Fractions of Different Denominators You will be able to model and understand how to add fractions of different denominators 1+1 23 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. Different Denominators Adding Fractions of Different Denominators You will be able to model and understand how to add fractions of different denominators 1+1 23 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 3+ 2 6 6

17. Different Denominators 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. Different Denominators 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. NOTICED What have you NOTICED??? When adding fractions of different denominators the rules are… 1. 2. 3. Example 1Example 2Example 3 1 + 1 = 3 + 2 2 3 6 6 = 5 6 2 + 1 = 2 + 2 4 2 4 4 = 4 4 1 + 1 = 3 + 4 4 3 12 12 = 7 12

20. NOTICED What have you NOTICED??? When adding fractions of different denominators the rules are… 1.Both denominators must be the same 2.Find the lowest common denominator (multiple) 3.The numerators are multiplied by the same # it’s denominator is multiplied by. Example 1Example 2Example 3 1 + 1 = 3 + 2 2 3 6 6 = 5 6 2 + 1 = 2 + 2 4 2 4 4 = 4 4 1 + 1 = 3 + 4 4 3 12 12 = 7 12

21. NOTICED What have you NOTICED??? When adding fractions of different denominators the rules are… 1.Both denominators must be the same 2.Find the lowest common denominator (multiple) 3.The numerators are multiplied by the same # it’s denominator is multiplied by. Example 1Example 2Example 3 2 + 1 = 5 3 = 1 + 2 = 4 6 = 3 + 1 = 8 4 =

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

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

24. SubtractionAddition 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: 1.Drawing what it looks like using fractions strips 2.What are the new fractions (common denominators) 3 + 1 = 1 - 1 = 6 6 3

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

28. Mixed Mixed Numbers What is a mixed number? : contains a whole number with a fraction. : is the cousin of the improper fraction. 3636 1 = 9696 Use pattern blocks to try and prove!!! How did you show this?

29. Mixed Mixed Numbers What is a mixed number? : contains a whole number with a fraction. : is the cousin of the improper fraction. 1212 3 = 7272 Use pattern blocks to try and prove!!! How did you show this? 2 2323 = 8383

30. Mixed Mixed Numbers What is a mixed number? : contains a whole number with a fraction. : is the cousin of the improper fraction. 1212 3 = 7272 How could I draw these mixed numbers! How did you show this? 2 2323 = 8383

31. Mixed Add Mixed Numbers 1 + 1 1 + 1 + + + = 2 steps What steps do you think need to be done in order to find the answer? 1414 2424 1414 2424 3434

32. Mixed Add Mixed Numbers 1 + 1 Steps: 1.Add the whole #’s 2.Find Lowest Common Denominators 3.Add the numerators 4.Place the fraction into lowest terms 3838 4848

33. Mixed Add Mixed Numbers (with uncommon fractions) 2 + 4 1313 2525 Steps 1.Add the whole #’s 2.Find Lowest Common Denominators 3.Add the numerators 4.Place the fraction into lowest terms

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

35. Mixed Add Mixed Numbers Steps 1.Add the whole #’s 2.Find Lowest Common Denominators 3.Add the numerators 4.Place the fraction into lowest terms

36. Mixed Add Mixed Numbers Steps 1.Add the whole #’s 2.Find Lowest Common Denominators 3.Add the numerators 4.Place the fraction into lowest terms

37. Mixed 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. Mixed Subtracting Mixed Numbers 3 1 3 1 + = = 2 steps What steps do you think need to be done in order to find the answer? 2424 1414 2424 1414 1414

40. Mixed Subtracting Mixed Numbers 5 2 2525 1414 Steps 1.Add the whole #’s 2.Find Lowest Common Denominators 3.Add the numerators 4.Place the fraction into lowest terms

41. Mixed Subtracting Mixed Numbers Steps 1.Add the whole #’s 2.Find Lowest Common Denominators 3.Add the numerators 4.Place the fraction into lowest terms

42. Mixed Subtracting Mixed Numbers

43. Improper Fractions Subtracting Improper Fractions Steps 1.Add the whole #’s 2.Find Lowest Common Denominators 3.Add the numerators 4.Place the fraction into lowest terms

44. Mixed 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