22. …becoming masters at all things fractions 
What page is the next clean page of your notebook?
Make the next clean page of your notebook look like mine!
Write big! While I pass out your long division summatives, decorate your page to look like the month of October, fraction style…
…think “fractober”…”fractionstein”…”fracula”…get it?! 
“Fractober”
Fraction Crash Course
…becoming masters at all things fractions 

23. Make sure to glue it so that you can access the back!
On this page, glue or staple in the TABLE OF CONTENTS that Mrs. Axtman is handing to you!
Make sure to glue it so that you can access the back!

24. On next page, glue your envelope and fraction strips!

25. I can draw models of fractions
Learning Targets
Day 1
I can draw models of fractions
I can identify the fraction unit
I can create equivalent fractions
I can simplify fractions
I can convert improper fractions to mixed numbers
I can convert mixed numbers to improper fractions

26. I know how to draw a model of a fraction
Title next clean page:
I know how to draw a model of a fraction

27. Identify correct model
*copy this page
Identify correct model 1 2 3

28. *turn page and copy this down… Naming fractions units Count/Unit
Draw a number line across your page

29. Must Do: Oct. 7th
Use markers/colored pencils/crayons to color your fraction strips.
Cut out your fraction strips
Place all fraction strips in the pocket we made yesterday!
Be ready to take notes in 7 minutes: go!

30. *Title your next clean page: Equivalent fractions
*make two columns, and title them as I have mine:
*fill out what you know about each of these questions
*share knowledge as a group D1
What are they?
How do you make them?

31. *turn to next clean page and copy down this practice
page, then complete independently. Correct together.:
Equivalent fractions D1

32. *turn page and copy this down: Fraction Concepts
Simplifying fractions by writing numerator and denominator as factors
15 and 25 have a common factor
You can “cancel” out the 5 15 25
3 x 5 3 5 = =
5 x 5
Reduce these (aka simplify) 12 21 6 54 25 75 14 35
next

33. *turn page and split into thirds. copy onto top third of page
Fraction Concepts D1
Improper fractions to mixed numbers
Improper Fraction: Numerator is larger than denominator. A fraction greater than 1

34. *copy to middle third of same page
Mixed Number: Fractional number with whole number part and fractional part

35. 7 2 Copy to bottom third of same page
Writing a mixed number as an Improper fraction D1
Here you see
how many wholes, how many fractional parts
Improper fractions shows how many halves are in 3 and one half: 7 2

36. More on .... mixed to improper17 = = 5 5

37. Turn to next clean page and split into halves.
Converting Improper to Mixed D1
Let’s practice rewriting to show the wholes
How do we do that? =

38. Flip it on its side and divide
Write on bottom half of paper D1
Improper fractions to mixed numbers
A Procedure.....
How do you convert improper to mixed?
Flip it on its side and divide

39. Solve together aloud. No need to write down.
Practice .... Improper to Mixed
(discuss any misconceptions)

40. Solve together aloud. No need to write down.
Problem Solving with Fractions
K-Mart had 90 umbrellas at the beginning of the day. If 3/5 of the umbrellas were sold during a particularly rainy day, how many umbrellas were left for sale after that day?

41. In-class practice-Fraction Crash Course-Day One
Independent Practice
ICP FCC D1
This is code for:
In-class practice-Fraction Crash Course-Day One
This is your ENTRANCE TICKET to class on Wednesday.
Come to class prepared. Circle any problems
you have questions about.

42. Review simplifying / reducing
Learning Targets D2
Day 2
Review simplifying / reducing
I can solve contextual problems
I can draw models of multiplication of fractions
I can multiply with fractional numbers

43. Reduce by writing factors and canceling out common factors
Bell Work D2
Reduce by writing factors and canceling out common factors   

44. Problem Solving with FractionsD2
Problem Solving with Fractions
UR Pets has both black and orange goldfish for sale. Of the 72 goldfish that they currently have, 3/8 are black. How many orange goldfish does UR Pets have for sale?

45. Problem Solving with FractionsD2
Problem Solving with Fractions
Brian has 1755 hairs left on his head. Of these hairs, 2/9 have gone grey. How many non-grey hairs does Brian have on his head?

46. Problem Solving with FractionsD2
Lola has 42 pairs of shoes. If 3/7 of the shoes are high heels, how many of Lola’s shoes are not high heels?

47. Concept Review D2
What is the sum of the measures of the angles in a triangle?
What is the sum of the measures of the angles in a quadrilateral?
next

48. How do you find the perimeter of a shape?
Next

49. PEMDAS D2
Let a = 3, b = 0.3, c = 4
find
a3 x b - c + 100b
next

50. Drawing models of fraction multiplication
Jim is planning his spring garden. He is going to use raised beds for planting. He will be buying bags if special organic planting mix at Zamsows.
1. How many bags will he need to buy for 3 beds if it takes 1 1/2 bags to fill each bed?
Draw a model
Write an expression

51. Draw a model of fraction multiplication

52. Multiply a fraction by a whole numberD2
Multiply a fraction by a whole number

53. Multiplying Fractions
Fraction Concepts D2
Multiplying Fractions
Multiplying Fractions Just multiply across the top and across the bottom
Which of these problems could be reduced BEFORE multiplying?

54. Fraction Concepts D2
Your Turn

55. Multiplying Fractions
Fraction Concepts
Fraction Concepts D2
Multiplying Fractions
One tricky thing.... mixed numbers must be converted to improper fractions. AND you must reduce them!

56. Multiplying Mixed Numbers
You Try

57. D2
Independent Practice
GM FCC ICP2

58. Review multiplying fractions
Learning Targets D3
Day 3
Review multiplying fractions
I can solve contextual problems
I can draw models of division of fractions
I can divide with fractional numbers

59. Check answers... go over issuesD3
Bell Work
Get out GM FCC ICP2 - the work we did yesterday. Make sure it is complete, circle any problems you want to discuss.
Let’s Check ....
GM FCC ICP2
Check answers... go over issues

60. Let’s see how you are doing..... Complete on a separate piece of NBP
Left Side of Table
Right Side of Table

61. How long is the green bar?D3

62. Adding and Subtracting Integers= =
-3 - (-4) = =

63. PEMDAS D3
Let x = 4, y = 3, z = 5
find
2(x - y) - z + 3xy

64. Which fraction is equivalent to:D3
Which fraction is equivalent to:

65. How much of the pizza did I eat?
Problem Solving D3
I ordered a pizza for dinner. Jason was very hungry and ate half of it. When Evan got home, he ate half of what was left. That last piece was for me....
How much of the pizza did I eat?

66. Problem Solving D3
I mowed the lawn for my mom and she paid me some money. Then I went to the store and spent some of it and I was left with $6. This was 2/3 of the amount of money that my mom paid me. How much money did my mom give me for mowing the lawn?

67. Hint: Use a model to help you solve
Understanding Fractions
Ann spent 1/3 of her money and then lost 1/2 of what she had left. She then only had 30 dollars. How much money did Ann originally have?
Hint: Use a model to help you solve

68. Dividing with Fractions
Sam had 3 candy bars. He wanted to break each into halves. How many halves would he have?
Draw a model & write an expression.

69. Draw a model, write an equation.
Dividing Fractions D3
Jim is creating raised beds for his garden. He bought 6 bags of soil enricher. He wants to put one and one half bags in each bed. How many beds will he be able to add the soil enricher to?
Draw a model, write an equation.

70. Dividing Fractions D3
Draw a model

71. Writing equivalent expressionsD3
Are these the same? 10 ÷
2 = 5 10 ×
1/2 = 5
We can always rewrite a division problem as a multiplication problem

72. The reciprocal of a number
Math Notes
The reciprocal of a number D3
Definition: The product of a number and it’s reciprocal is always 1. 3 x n d
= 1 x = 1 5 d n 2 x
= 1 7
the number 1 2 x
= 1 2

73. Traditional Algorithm - Dividing Fractions
Math Notes
Traditional Algorithm - Dividing Fractions
1. Convert any mixed numbers to improper fractions..make whole numbers into fractions
2. Change to a equivalent expression where you multiply by the reciprocal of the dividend
3. Reduce first, then multiply numerators and then denominators
4. If improper, change to mixed

74. D3
Let’s try a few

75. Practice dividing - use your notes if necessary

76. D3
Dividing Fractions
Independent Practice
GM FCC ICP3

77. Review dividing fractions
Learning Targets D4
Day 4
Review dividing fractions
I can solve contextual problems
I can draw models of addition of fractions
I can add with fractional numbers
I can add monomials with fractional coefficients

78. Check answers... go over issuesD4
Bell Work
Get out GM FCC ICP3 - the work we did yesterday. Make sure it is complete, circle any problems you want to discuss.
GM FCC ICP3
Check answers... go over issues

79. Let’s see how you are doing..... Complete on a separate piece of NBP
Right Side of Table
Left Side of Table

80. Review Multiply FractionsD4
Review Multiply Fractions

81. Review improper <-> mixed
Change to improper
Change to mixed

82. Problem Solving D4
A person on the moon weighs one-sixth of their weight on earth. If a person weighs 102 lbs on the earth, what would they weigh on the moon?

83. Problem Solving D4 #9
A bike travels at 3/10 of the speed of a car that is traveling 60 miles an hour. How fast is the bike traveling?

84. PEMDAS D4
Let x = 3, y = 4, z = 2
find
3(x2 - y) - 2z

85. What is the distance of line segment a?#1
What is the distance of line segment b? #2

86. Adding and Subtracting fractions with like denominators
What things do you need to keep in mind when you add and subtract fractions with like denominators. Make a list on your paper.
Next

87. Adding and Subtracting with Fractions with UNLIKE denominators
On your paper, explain why you can’t add these fractions as they are. Then explain what needs to be done in order to add them.

88. D4
Adding Fractions

89. Addition of Fractions D4

90. Addition of Fractions D4

91. Try a few more D4

92. Adding fractions with a bit of algebra

93. D4
Adding Fractions
Independent Practice
GM FCC ICP4

94. Demonstrate with Summative Assessment:
Learning Targets D5
Day 5
Demonstrate with Summative Assessment:
I can multiply, divide and add fractions
I can solve contextual problems

95. Check answers... go over issuesD5
Bell Work
Get out GM FCC ICP4 - the work we did yesterday. Make sure it is complete, circle any problems you want to discuss.
GM FCC ICP4
Check answers... go over issues

96. If 5/12 of a number is 65, what is ¾ of the number?D5
Problem Solving
If 5/12 of a number is 65, what is ¾ of the number?

97. Change to Improper FractionsD5
Change to Improper Fractions

98. Change to mixed numbers

99. Review Adding fractions

100. Review Multiplication of FractionsD5
Review Multiplication of Fractions

101. Review Dividing Fractions

102. D5
Fraction Quiz
Summative Assessment
GM FCC Quiz 1

103. I can subtract fractions, regrouping when necessary
Learning Targets D6
Day 6
I can subtract fractions, regrouping when necessary
I can solve contextual problems

104. D6
Problem Solving

105. D6
Problem Solving

106. D6
Subtracting

107. Subtracting with regrouping