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How Much: Total, More, Of, Equal Portions?
Created by Sara De Voogd
ObjectivesThe learner will be able to:
● Model situations involving fractions● Recognize when addition, subtraction, multiplication, or
division is the appropriate operation to solve a problem● Write a mathematical statement to represent a given applied
situation involving multiplying or dividing fractions● Multiply or divide any two fractions including mixed numbers
fluently● Contextualize and explain the meaning of a problem's solution
Begin
Welcome!This activity is structured in a KWL format.
K: What students expected to know at beginning of task
W: What students will be investigating
L: Opportunity to demonstrate learning
Letters like the ones to the right will
assist in navigating through the activity. Click
on them to return to a specific section or
advance through the activity. Please do not use the space
bar.
Be sure to investigate all links and buttons prior to advancing.
KW
L
Continue
K: What you should knowTerms and Concepts
Vocabulary
Addition & Subtractio
n
Multiplication & Division
Click each category below before advancing using the “W”
Click “W” to continue W
VocabularyPlease click the following links to clarify terms before moving on.
● Denominator● Common Denominator● Least Common Denominator● Improper Fraction● Mixed Fraction
● Addition● Subtraction● Multiplication● Division● Fraction● Numerator
K
Addition and Subtraction of fractions
Adding/Subtracting Fractions
Adding Fractions with Unlike Denominators
Subtracting Fractions with Unlike Denominators
Matha Mia Adding Fractions Song
K
Multiplication and Divisionof fractions
Multiplying & Dividing Fractions
How to Multiply Fractions
Division of Fractions Song
I Can Divide fractions song K
W: What you want to know Fractions: Modeling and solving real-world problems
SOLVE
Addition/Subtraction
Multiplication/Division
DinnerPartyClick to
continue
Steps to SOLVE word problems
Study the problem; identify the question
Organize the facts; highlight key information
Line up a plan; select a strategy to solve
Verify chosen plan with computation
Examine and explain solution
W
Addition & Subtraction
Key words to indicate addition or subtraction:
of fractions
Addition
● Sum● Total● Altogether● Increased
by● More than● Combined● In addition
to
Subtraction
● Difference● Minus● Less● Less than● Fewer than● Decreased by● How much
more
W
Multiplication & Division of fractions
Key words to indicate multiplication or division:
Multiplication
● Product● Of● Multiplied by● Increased by a
factor of● Times
Division
● Per● Out of● How many equal
groups● Ratio of● Quotient of
W
W: The Dinner Party
Miss De Voogd decided to host a dinner party. She sent out invitations and selected the menu for the event.
As the date quickly approached, Miss D realized her work was far from finished. Consider Miss D's current dilemmas:
Dilemma I
Dilemma III
Dilemma II
Dilemma IV
Click each Dilemma below before advancing using the “L” L
W
W: Dilemma I Miss D looked at the ingredients for
the recipe and wanted to know the total amount of spices included in the recipe.
¾ teaspoon dried oregano1/2 teaspoon salt1/8 teaspoon pepper¼ teaspoon dried thyme1/3 teaspoon dried rosemary
Baked Ziti
Menu
Baked ZitiSaladBreadsticks
Remember to SOLVE!
S
S: Dilemma IStudy the problem; identify the question
What is the total amount of spices included in the recipe?
O
O: Dilemma IOrganize the facts; highlight key information
¾ teaspoon dried oregano1/2 teaspoon salt1/8 teaspoon pepper¼ teaspoon dried thyme1/3 teaspoon dried rosemary
Key Information
L34,12,18,14,13
L: Dilemma ILine up a plan; select a strategy to solve
What is the total amount of spices included in the recipe?
Plan: Addition of fractions
V
V: Dilemma IVerify chosen plan with computation1. Strategy: Addition
2. Common Denominators
3. Multiply
4. Simplify
E
34+ 12+ 18+ 14+ 13=?
34( 66)+ 12(1212
)+ 18(33)+ 14(66)+ 13(88)=?
1824
+ 1224
+ 324
+ 624
+ 824
=?
18+ 12+ 3+ 6+ 824
= 4724
=1 2324
E: Dilemma IExamine and explain solution
Solution
Explanation
Miss D needs a total of teaspoons of spices for her recipe.
Dinner
Party
4724
=1 2324
24
231
W: Dilemma II Miss D mixed together all the spices in
one container. As she measured the total amount, she found she had teaspoons of spices.
How much more spice does she have than she needs?
¾ teaspoon dried oregano1/2 teaspoon salt1/8 teaspoon pepper¼ teaspoon dried thyme1/3 teaspoon dried rosemary
Baked Ziti Remember to SOLVE!
Menu
Baked ZitiSaladBreadsticks
S
S: Dilemma IIStudy the problem; identify the question
How much more spice does she have than she needs?
O
O: Dilemma IIOrganize the facts; highlight key information
Amount of Spice
Has Needs
L
378
12324
L: Dilemma IILine up a plan; select a strategy to solve
How much more spice does she have than she needs?
Plan: Subtraction of fractions V
V: Dilemma IIVerify chosen plan with computation1. Strategy: Subtraction
2. Convert to Improper Fractions
3. Common Denominators 4.
Multiply
5. Simplify
E
378−1 2324
=?
318
−4724
=?
318
(33)− 4724
=? 9324
− 4724
=?
93−4724
= 4624
=1 2224
E: Dilemma IIExamine and explain solution
Solution
Explanation
Miss D has more teaspoons of spices than she needs
Dinner
Party
12224
12224
W: Dilemma III Miss D received word that
additional guests were attending the dinner. She quickly repeated the steps resulting in trays of baked ziti.
The recipe states the serving size is of the tray. Miss D wants to ensure everyone is well fed and decides to plate one and a half times the serving size. What is the amount guests are served? S
212
112
S: Dilemma IIIStudy the problem; identify the question
What is the amount guests are served?
O
O: Dilemma IIIOrganize the facts; highlight key information
Serving Size
Servings per person
L
112
112= 32
L: Dilemma IIILine up a plan; select a strategy to solve
Miss D wants to ensure everyone is well fed and decides to plate one and a half times the serving size
Plan: Multiplication of fractions
V
V: Dilemma IIIVerify chosen plan with computation1. Strategy: Multiplication
2. Rewrite
3. Simplify
E324
?2
3
12
1
?2*12
3*1
E: Dilemma IIIExamine and explain solution
Solution
ExplanationEach guest would receive of a
tray.
Dinner
Party
324
324
W: Dilemma IV
Miss D looked around the kitchen at all the food. She knew 14 people would arrive for dinner soon, but wondered the maximum number of people the food would serve. How many servings can be plated out of trays?
S
324
S: Dilemma IVStudy the problem; identify the question
How many servings can be plated out of trays?
O
324
O: Dilemma IVOrganize the facts; highlight key information
Total Amount
Serving Size
L
212
324
L: Dilemma IVLine up a plan; select a strategy to solve
How many servingscan be plated out of trays?
Plan: Division of fractions V
324
V: Dilemma IVVerify chosen plan with computation1. Strategy: Division
2. Multiply by the reciprocal
3. Simplify
E
(52)
( 324
)?
3
24*
2
5
206
120
3*2
24*5
E: Dilemma IVExamine and explain solution
Solution
ExplanationMiss D has enough food for
people.
Dinner
Party
2020
L: What you learnedDetermining operation and contextualizing solutions
Click on key words and all four scenarios before advancing using “The End”
RaceTraining
Key WordsOperations
12 3
4
TheEnd
L: Key Words
Math Operations Key Word Sort
Click the link aboveRead the directionsClick “start”
L
L: Race Training 1 One week during training for her race,
Miss D ran the following number of miles each day:
Monday Tuesday Wednesday Thursday Friday Saturday
How many miles did Miss D run altogether during the week?
miles miles
323 2
12
5712
256
434
912
281012 25
1929
Correct!S: How many miles did Miss D run altogether during the
week?
O:
L: Addition of fractions
V:
E: Miss D ran miles in a week.
L
323,212,5712,256,434,912
323+ 2 1
2+ 5 712
+ 2 56+ 4 3
4+ 9 12=?
113
( 44)+ 52(66)+ 6712
+ 176
(22)+ 194
(33)+ 192
( 66)=?
4412
+ 3012
+ 6712
+ 3412
+ 5712
+ 11412
=44+ 30+ 67+ 34+ 57+ 11412
34612
=28 1012
281012
Think about the following and try again!
S: How many miles did Miss D run altogether during the week?
O:
L: Addition of fractions
V:
E: Miss D ran ? miles in a week.
Adding Fractions with Unlike Denominators
RaceTraining
1
323,212,5712,256,434,912
L: Race Training 2
During her second week of training, Miss D had a mileage goal of miles.
By Thursday, Miss D recorded running miles.
How many miles does Miss D have left to run to meet her goal?
miles miles
3312
2158
1218 11
78
Correct!S: How many miles does Miss D have left to run to meet her
goal?
O:
L: Subtraction of fractions
V:
E: Miss D needs to run more miles this week.
L
3212, 21
58
3312−21 5
8=?
672
( 44)−173
8=2688
−1738
268−1738
=?
958
=11 78
1178
Think about the following and try again!
S: How many miles does Miss D have left to run to meet her goal?
O:
L: Subtraction of fractions
V:
E: Miss D needs to run ? more miles this week.
Subtracting Fractions with Unlike Denominators
3212, 21
58
RaceTraining
2
L: Race Training 3
During another week of training, Miss D determined she completed of her mile run.
How much of her run has Miss D completed?
miles
miles
34
1412
1078
1438
Correct!S: How much of her run has Miss D completed?
O:
L: Multiplication of fractions
V:
E: Miss D completed miles of her run.
34,1412
878
=10 78
1078 L
?2
114*
4
3
2*4
29*3
2
29*4
3
Think about the following and try again!
S: How much of her run has Miss D completed?
O:
L: Multiplication of fractions
V:
E: Miss D completed ? miles of her run.
How to Multiply Fractions
34,1412
RaceTraining
3
L: Race Training 4
Due to the weather, Miss D needed to complete her run on an indoor track which is of a mile. Miss D needs to run of a mile today.
How many equal laps must Miss D run?
laps laps
5418
47 49
Correct!S: How many equal laps must Miss D run?
O:
L: Division of fractions
V:
E: Miss D must run equal laps.
19,5418
( 9418
)
(19)
84618
=47
47 L
1*18
9*94
1
9*
18
94
Think about the following and try again!
S: How man equal laps must Miss D run?
O:
L: Division of fractions
V:
E: Miss D must run ? equal laps.
Division of Fractions Song
19,5418
RaceTraining
4
