1 What are we going to do? CFU Students, you already know how to find equivalent fractions. Now, we...
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1 What are we going to do? CFU Students, you already know how to find equivalent fractions. Now, we will find equivalent fractions when adding fractions
1 What are we going to do? CFU Students, you already know how
to find equivalent fractions. Now, we will find equivalent
fractions when adding fractions with like denominators. Make
Connection We will add fractions with like denominators. Learning
Objective Activate Prior Knowledge Equivalent fractions are
fractions that have the same value. Find the equivalent fractions
below. 1. 2 8 4 2 2 2. 4 6 3 2 2 2 2 3 numerator denominator
Fraction Common Core Standards 7.NS.1 - 7.NS.3 Prerequisite Skills
Apply and extend previous understandings of addition, subtraction,
multiplication, and division of integers (AND other rational
numbers); Students will reinforce skills learned in 6 th grade.
Name:________________ Monday 9.22.14
Slide 2
What are we going to do? CFU Students, you already know how to
reduce fractions to the lowest terms. Now, we will use reducing
fractions when subtracting fractions with like denominators. Make
Connection Learning Objective Activate Prior Knowledge We will
subtract fractions with like denominators. 1 Equivalent fractions
are fractions that have the same value. Find the equivalent
fractions below. 1. 6 12 2 6 6 2. 4 12 3 4 4 1 2 3 numerator
denominator Fraction Common Core Standards 7.NS.1 - 7.NS.3
Prerequisite Skills Apply and extend previous understandings of
addition, subtraction, multiplication, and division of integers
(AND other rational numbers); Students will reinforce skills
learned in 6 th grade.
Slide 3
4 24 2 6 Fractions with like denominators have the same number
of equal parts. To add fractions, both fractions must have a like
denominator. The sum of fractions must be reduced to the lowest
terms. Which addition problem has fractions with like denominators?
How do you know? A B CFU Adding Fractions Concept Development
Adolfo has four-twelfths of a pie. Carla has two-twelfths of a pie.
How much of the pie do they have altogether? 2 3 numerator
denominator Fraction 12 4 2 2 5 1 5 2 5 2 3 Animated
Slide 4
Which of the following is an example of a reduced fraction? How
do you know? A B In your own words what is reducing a fraction?
Reducing a fraction is _______. CFU Reducing Fractions Concept
Development (Clarification and CFU) Equivalent fractions are
fractions that have the same value. Reducing a fraction is finding
the equivalent fraction in the lowest terms. Not in the lowest
terms. In the lowest terms. 2 3 numerator denominator Fraction 12 6
2 2 6 3 3 3 2 1 3 8 4 8
Slide 5
Concept Development Fractions with like denominators have the
same number of equal parts. To subtract fractions, both fractions
must have a like denominator. The difference of fractions must be
reduced to the lowest terms. Subtracting Fractions Adolfo has
eight-twelfths of a pie. If he eats two-twelfths of the pie how
much of the pie is left? 2 3 numerator denominator Fraction
Animated Which subtraction problem has fractions with like
denominators? How do you know? A B CFU 6 12 2 4 4 6 8 28 2 6 8
2
Slide 6
Which of the following is an example of a reduced fraction? How
do you know? A B In your own words what is reducing a fraction?
Reducing a fraction is _______. CFU Reducing Fractions Concept
Development (Clarification and CFU) Equivalent fractions are
fractions that have the same value. Reducing a fraction is finding
the equivalent fraction in the lowest terms. Not in the lowest
terms. In the lowest terms. 2 3 numerator denominator Fraction 12 6
2 2 6 3 3 3 2 1 3 8 4 8
Slide 7
Add the fractions. (write) Keep the same denominator. Add the
numerators. Reduce the sum, if needed. Read the sum out loud. ___
plus ___ equals ___. Add fractions with like denominators. 1 2 3 a
b How did I/you add the fractions? CFU 1 Skill Development/Guided
Practice 1.2. 4.3. To add fractions, both fractions must have a
like denominator. The sum of fractions must be reduced to the
lowest terms. 2 3 numerator denominator Fraction 2 5 1 5 2 6 3 6 1
8 2 8 3 10 4 3 5 5 6 3 8 7
Slide 8
Add the fractions. (write) Keep the same denominator. Add the
numerators. Reduce the sum, if needed. Read the sum out loud. ___
plus ___ equals ___. Add fractions with like denominators. 1 2 3 a
b How did I/you add the fractions? How did I/you reduce the
solution? CFU 1 2 5. 7. To add fractions, both fractions must have
a like denominator. The sum of fractions must be reduced to the
lowest terms. 2 3 numerator denominator Fraction 1 4 1 4 1 8 3 8 2
4 Skill Development/Guided Practice (continued) 6. 8. 2 6 2 6 2 10
4 2 2 1 2 4 6 2 2 2 3 4 8 4 4 1 2 6 2 2 3 5
Slide 9
Subtract the fractions. (write) Keep the same denominator.
Subtract the numerators. Reduce the difference, if needed. Read the
difference out loud. ___ minus ___ equals ___. Subtract fractions
with like denominators. 1 2 3 a b Skill Development/Guided Practice
How did I/you subtract the fractions? CFU 1 To subtract fractions,
both fractions must have a like denominator. The difference of
fractions must be reduced to the lowest terms. 1.2. 4.3. 2 3
numerator denominator Fraction 2 5 1 5 3 6 2 6 5 8 2 8 8 8 3 8 1 5
1 6 3 8 5 8
Slide 10
Subtract the fractions. (write) Keep the same denominator.
Subtract the numerators. Reduce the difference, if needed. Read the
difference out loud. ___ minus ___ equals ___. Subtract fractions
with like denominators. 1 2 3 a b Skill Development/Guided Practice
(continued) How did I/you subtract the fractions? How did I/you
reduce the difference? CFU 1 2 To subtract fractions, both
fractions must have a like denominator. The difference of fractions
must be reduced to the lowest terms. 2 3 numerator denominator
Fraction 5. 7. 3 4 1 4 7 8 3 8 2 4 6. 8. 5 6 3 6 9 10 3 2 2 1 2 2 6
2 2 1 3 4 8 4 4 1 2 6 2 2 3 5
Slide 11
Skill Development/Guided Practice (continued) How did I/you
determine what the question is asking? How did I/you determine the
math concept required? How did I/you determine the relevant
information? How did I/you solve and interpret the problem? How did
I/you check the reasonableness of the answer? CFU 2 1 3 4 5 3 8 5 8
8 8 1 Juanito has 1 pound of nuts. 2 5 1 5 3 5 Fareed spent of an
hour on his math homework. He then spent of an hour on his English
homework. How much time did he spend on his homework? Fareed spent
of an hour on his homework. Juanito has of a pound of almonds. He
also has of a pound of cashews. How many pounds of nuts does he
have??
Slide 12
Skill Development/Guided Practice (continued) How did I/you
determine what the question is asking? How did I/you determine the
math concept required? How did I/you determine the relevant
information? How did I/you solve and interpret the problem? How did
I/you check the reasonableness of the answer? CFU 2 1 3 4 5 Jan has
a piece of ribbon that is of an inch long. She cuts the ribbon into
two pieces. One piece is of an inch long. How long is the other
piece of ribbon? Angela has of a pie. Her family eats of the pie.
How much of the pie is left? 9 10 4 5 5 5 1 2 The other piece of
ribbon is an inch long. 5 8 3 8 2 8 2 2 1 4 Angela has of the pie
left.
Slide 13
Add the fractions. (write) Keep the same denominator. Add the
numerators. Reduce the sum, if needed. Read the sum out loud. ___
plus ___ equals ___. Add fractions with like denominators. 1 2 3 a
b What did you learn today about adding fractions with like
denominators? (Pair-Share) Use words from the word bank. Skill
Closure Access Common Core Summary Closure Arianna has added the
fractions below. Mr. Babbage says that her answer is incorrect.
Explain the mistake that Arianna made. To add fractions, both
fractions must have a like denominator. The sum of fractions must
be reduced to the lowest terms. 2 3 numerator denominator Fraction
1. 2 5 1 5 3 5 2. 1 6 2 6 3 6 3 3 1 2 5 8 1 8 Word Bank fraction
numerator denominator reduce Ariannas math is correct, but she did
not reduce her answer. The correct answer is.
Slide 14
Subtract the fractions. (write) Keep the same denominator.
Subtract the numerators. Reduce the difference, if needed. Read the
difference out loud. ___ minus ___ equals ___. Subtract fractions
with like denominators. 1 2 3 a b Skill Closure Access Common Core
Summary Closure Ruby has subtracted the fractions below. Mr. Allen
says that the answer is incorrect. Explain the mistake that Ruby
made. To subtract fractions, both fractions must have a like
denominator. The difference of fractions must be reduced to the
lowest terms. 2 3 numerator denominator Fraction What did you learn
today about subtracting fractions with like denominators?
(Pair-Share) Use words from the word bank. Word Bank fraction
numerator denominator reduce 7 10 2 1. 8 10 1 7 2. 5 12 1 4 4 4 1 3
Rubys math is correct, but he did not reduce his answer. The
correct answer is.
Slide 15
Independent Practice (Add) Add the fractions. (write) Keep the
same denominator. Add the numerators. Reduce the sum, if needed.
Read the sum out loud. ___ plus ___ equals ___. Add fractions with
like denominators. 1 2 3 a b 1. 3. To add fractions, both fractions
must have a like denominator. The sum of fractions must be reduced
to the lowest terms. 2 3 numerator denominator Fraction 3 6 1 6 7
10 3 4 6 2. 1 8 1 8 2 2 2 3 2 8 2 2 1 4 10 1 4. 1 10 7 8 2 2 4
5
Slide 16
Independent Practice (Subtract) 1. 3. 3 6 1 6 7 10 3 2 6 2. 7 8
5 8 2 2 1 3 2 8 2 2 1 4 4 10 2 2 4. 4 10 2 2 2 2 1 5 Subtract the
fractions. (write) Keep the same denominator. Subtract the
numerators. Reduce the difference, if needed. Read the difference
out loud. ___ minus ___ equals ___. Subtract fractions with like
denominators. 1 2 3 a b To subtract fractions, both fractions must
have a like denominator. The difference of fractions must be
reduced to the lowest terms. 2 3 numerator denominator Fraction 2
5
Slide 17
CLASSWORK Access Common Core Which of the following fractions
are correctly added and reduced? YesNo 1. 5 10 3 8 2. 2 8 4 8 2 2 4
5 6 8 2 2 3 4 6 12 3 9 5 6 5 6 6 3 3 4 3 5 2 3
Slide 18
CLASSWORK Access Common Core Which of the following fractions
are correctly subtracted and reduced? 1. 5 10 3 2 2. 4 8 2 8 2 2 1
5 2 8 2 2 1 4 YesNo 6 12 3 3 11 12 6 5 0 6 3 3 4 5 3 1 6
Slide 19
CLASSWORK Access Common Core Bradley added the fractions below.
Some of his answers are incorrect. Circle all the incorrect answers
and write the correct solutions. Solutions should be in lowest
terms. 1. 4 12 3 7 2. 3 12 5 8 4 4 2 3 3 8 3 8 1 10 2 3 6 1 6 1 4 2
4 4 12 5 6 10 2 3 6 3 6 3 5 1 4 2 4 4 6 1 8 3 8 6 8 1 8
Slide 20
CLASSWORK Access Common Core Bradley subtracted the fractions
below. Some of his answers are incorrect. Circle all the incorrect
answers and write the correct solutions. Solutions should be in
lowest terms. 1. 4 12 3 1 2. 5 12 5 0 = 0 3 8 3 8 2 10 1 3 6 1 6 2
4 1 4 5 12 4 6 10 2 3 6 3 6 5 3 3 4 1 4 9 4 3 8 1 8 6 8 1 8
Slide 21
CLASSWORK Access Common Core YesNo 1. 4 12 4 8 2. 5 12 1 4 4 2
3 6 6 6 1 2 YesNo 9 24 YesNo 3 4 Choose Yes or No to show whether
each choice represents the sum of. 5 12 4
Slide 22
CLASSWORK Access Common Core 1. 4 12 4 0 2. 5 12 1 = 0 4 12 4 4
1 3 YesNo 3 6 6 0 Choose Yes or No to show whether each choice
represents the difference of. 10 12 4