Week Three: Multiplying and Dividing Fractions

Report
Chapter 2
Fractions
Day…..
1.
Multiplying and dividing fractions by whole
numbers, mixed numbers and fractions.
2.
Using models to solve problems involving the
multiplication and division of fractions
3.
Solving real world problems involving the
multiplication and division of fractions
4.
Exploring Fractions
5.
Review
Day 1
Bell Work
Mary's dad says that he will give her an allowance of $2 the first month,
$4 the second month, $8 the third month, and so on. Mary knows that
her dad is using a base of 2. Mary doesn't think that this is a good deal.
She thinks $50 a month is a better deal. How much will she make in a
year if she does it her way.
Show your work.
b) How much will Mary make the twelfth month using her dad's idea? How did
you find this number?
c) Which deal is better, Mary's or her Dad's? By how much?
d) How much will Mary make in a year if she does what her dad wants?
Show your work.
I Can….
Multiply and Divide
Fractions.
Vocabulary
• Fraction- a number that represents part of a whole or
part of a set
• Greatest Common Factor- the greatest of the common
factors of two or more numbers
• Improper Fraction- a fraction with a numerator that is
greater than or equal to the denominator
• Mixed Number- a number that has a whole number
part and a fraction part
• Reciprocal – two numbers with a product of 1
• Simplest Form- a fraction in which the GCF of the
numerator and denominator is 1
Multiplying Fractions
Essential Understanding:
• To multiply a fraction by a fraction, you simply multiply
the numerators, then the denominators.
• 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 the
denominators.
Write each product in simplest form.
• Quick Check: Complete problems 1-6 on page 104
Dividing Fractions
Essential Understanding:
• To divide a fraction by a fraction, simply flip the
second fraction and multiply.
• To divide a fraction by a whole number or a mixed
number, change the number to an improper fraction.
Then, flip the second fraction and multiply.
• Quick Check: Complete problems on page
Wrap it Up
• Review
• Questions
• Exit Tickets
Day 2
Bell Work
2
3
Nathan is baking cookies and the recipe calls for 3
cups of water. He needs to make 1 whole batch and
1
1
only of another batch, for a total of 1 batches. How
2
2
much water will Nathan need to bake the cookies?
Draw a diagram to show how much water will be
needed.
I Can….
• Create story context for equations
involving the multiplication and
division of fractions
~And~
• Use a visual fraction model to show
my work.
Vocabulary
•
•
•
•
•
•
No New Vocabulary
Fraction- a number that represents part of a whole or part
of a set
Greatest Common Factor- the greatest of the common
factors of two or more numbers
Improper Fraction- a fraction with a numerator that is
greater than or equal to the denominator
Mixed Number- a number that has a whole number part
and a fraction part
Reciprocal – two numbers with a product of 1
Simplest Form- a fraction in which the GCF of the
numerator and denominator is 1
Watch This
• http://learnzillion.com/lessons/212-multiplyfractions-by-whole-numbers-using-bar-models
• http://learnzillion.com/lessons/199-dividewhole-numbers-by-unit-fractions-using-visualmodels
• http://learnzillion.com/lessons/1383-solveword-problems-involving-division-of-mixednumbers-and-fractions-using-picture-models
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. 
Wrap it Up
• Review
• Questions
• Exit Tickets
Day 3
Bell Work
1) Hakeem’s front porch measures 9 3/4 feet by 4 feet.
Estimate the area of his front porch.
Justify your answer.
(Hint: Area = Length x Width)
2) Leslie spread organic fertilizer on 4/5 of her flower pots to
test how much they would grow. If she has 25 flower pots, how
many did she spread fertilizer on?
Justify your answer.
I Can….
Can look at my answer to
check that I answered
what was asked and see if
my answer makes sense
Vocabulary
•
•
•
•
•
•
No New Vocabulary
Fraction- a number that represents part of a whole or part
of a set
Greatest Common Factor- the greatest of the common
factors of two or more numbers
Improper Fraction- a fraction with a numerator that is
greater than or equal to the denominator
Mixed Number- a number that has a whole number part
and a fraction part
Reciprocal – two numbers with a product of 1
Simplest Form- a fraction in which the GCF of the
numerator and denominator is 1
Watch This
• http://learnzillion.com/lessons/1323-solvedivision-of-fractions-problems-usingreciprocals
Presentation of Story Context
Wrap it Up
• Review
• Questions
• Exit Tickets
Day 4
Bell Work
Create a story problem for
6÷¼=
Illustrate the solution
Vocabulary
•
•
•
•
•
•
No New Vocabulary
Fraction- a number that represents part of a whole or part
of a set
Greatest Common Factor- the greatest of the common
factors of two or more numbers
Improper Fraction- a fraction with a numerator that is
greater than or equal to the denominator
Mixed Number- a number that has a whole number part
and a fraction part
Reciprocal – two numbers with a product of 1
Simplest Form- a fraction in which the GCF of the
numerator and denominator is 1
I Can….
solve problems involving
the addition,
subtraction,
multiplication, and
division of mixed
numbers
Explore
Lab Rotations
1-8
You will have 15 minutes to complete
4 stations.
Wrap it Up
• Review
• Questions
• Exit Tickets
Day 5
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?
I Can….
Fluently multiply and
divide fractions.
Vocabulary
•
•
•
•
•
•
No New Vocabulary
Fraction- a number that represents part of a whole or part
of a set
Greatest Common Factor- the greatest of the common
factors of two or more numbers
Improper Fraction- a fraction with a numerator that is
greater than or equal to the denominator
Mixed Number- a number that has a whole number part
and a fraction part
Reciprocal – two numbers with a product of 1
Simplest Form- a fraction in which the GCF of the
numerator and denominator is 1
Let’s Review
Please
Take out your
Study Guide
Wrap it Up
• Review
• Questions
• Quiz
Converting Numbers
• Fractions to Decimals to Percent

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