Mrs. S. Whitaker's Math Class Agenda
Math
August 27, 2019
Mrs. S. Whitaker
D.E.A.R.
Drop Everything and Read!!
NO TALKING DURING THIS TIME!!
Jaguar Ascension
Math Practice on GCF and LCM
Agenda
•
Bell Ringer
•
Check HW: Go Math Book pg. 35 #6-18 even
•
Introduction to Dividing Fractions (Keep, Change, Flip)
•
Classwork: Go Math Book pg. 88 #1-7
•
HW: Go Math Book pg. 89-90 #8-18 even
Bell Ringer
•
3/7 x 2/3
=
•
4/5 x 2/7
=
•
7/10 x 8/21
=
•
6/7 x 1/6
=
Bell Ringer Answers
•
3/7 x 2/3 =
2/7
•
4/5 x 2/7 =
8/35
•
7/10 x 8/21 =
4/15
•
6/7 x 1/6 =
1/7
Dividing Fractions
Objective:
divide fractions and solve problems by dividing fractions.
Suppose you have three large pizzas and you want to divide them into eighths. How many pieces would you have?
This model helps us see how we can divide a whole number by a fraction.
Each circle is divided into eights. You have 24 pieces.
So, 3 ÷ 1/8 = 24 pieces.
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What happens when you divide a number by 1/2?
Your number is doubled.
N
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b
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s
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:
H
o
w
a
r
e
d
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v
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d
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g
b
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1
/
2
a
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p
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2
r
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d
?
When you divide a whole number by 1/2, you get
double the number.
When you multiply a number by 2, you get double the
whole number.
1
2
What do you notice about:
How are dividing by 1/2 and multiplying by 2 related?
Multiplication and division are inverse operations
1
2
and
2
1
are reciprocals
Reciprocals: when the product of two numbers is 1
Writing a Reciprocal
Write the reciprocal of each number.
a. 9
9 =
9
1
so the reciprocal is
1
9
b.
7
8
=
8
7
c.
3
4
=
d.
7
=
4
3
7
1
so the reciprocal is
1
7
To divide a fraction, multiply by the reciprocal of the fraction. You can remember this by thinking “invert and multiply.”
OR
♫ "Dividing fractions, as easy as pie,
Flip the second fraction, then multiply.
And don't forget to simplify,
Before it's time to say goodbye" ♫
Dividing With Fractions
Find
5
10
÷
5
6
5
10
÷
5
6
=
5
10
x
6
5
Multiply by the reciprocal
5
10
x
6
5
1
1
3
5
1 * 3
5 * 1
Multiply
=
3
5
cross simplify
Dividing With Fractions
Find
7
÷
2
3
7
÷
2
3
=
7
1
x
3
2
Multiply by the reciprocal
7 * 3
1 * 2
Multiply
=
21
2
21
2
change the improper fraction
to a mixed number
= 10
1
2
Dividing With Fractions
Find
9
16
÷
3
4
9
16
÷
3
4
=
9
16
x
4
3
Multiply by the reciprocal
9
16
x
4
3
3
1
1
4
3 * 1
4 * 1
Multiply
=
3
4
cross simplify
Dividing With Fractions
Find
4
5
÷
1
3
4
5
÷
1
3
=
4
5
x
3
1
Multiply by the reciprocal
4 * 3
5 * 1
Multiply
=
12
5
12
5
change the improper fraction
to a mixed number
= 2
2
5
Practice
•
1. 2/3
÷
7/10
=
•
2. 3/4
÷
1/4
=
•
3. 3/10
÷
2/4
=
•
4. 9/12
÷
8/9
=
•
5. 7/9
÷
8/10
=
Assignment
•
CW: Complete Guided Practice on pg. 88
•
HW: Go Math Book pg. 89-90 #8-18 even
In Mrs. S. Whitaker's math class, students engaged in various activities such as DEAR time, GCF and LCM practice, dividing fractions, and exploring concepts like reciprocals. The lesson included practical examples like dividing pizzas to understand fractions better. Students also learned about the relationship between division and multiplication, as well as how to find reciprocals of numbers.
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Presentation Transcript
Math August 27, 2019 Mrs. S. Whitaker
D.E.A.R. Drop Everything and Read!! NO TALKING DURING THIS TIME!!
Jaguar Ascension Math Practice on GCF and LCM
Agenda Bell Ringer Check HW: Go Math Book pg. 35 #6-18 even Introduction to Dividing Fractions (Keep, Change, Flip) Classwork: Go Math Book pg. 88 #1-7 HW: Go Math Book pg. 89-90 #8-18 even
Bell Ringer 3/7 x 2/3 = 4/5 x 2/7 = 7/10 x 8/21 = 6/7 x 1/6 =
Bell Ringer Answers 3/7 x 2/3 = 2/7 4/5 x 2/7 = 8/35 7/10 x 8/21 = 4/15 6/7 x 1/6 = 1/7
Dividing Fractions Objective:divide fractions and solve problems by dividing fractions.
Suppose you have three large pizzas and you want to divide them into eighths. How many pieces would you have? This model helps us see how we can divide a whole number by a fraction. Each circle is divided into eights. You have 24 pieces. So, 3 1/8 = 24 pieces.
1 2 Dividing by What happens when you divide a number by 1/2? Your number is doubled. Number Sense: How are dividing by 1/2 and multiplying by 2 related? When you divide a whole number by 1/2, you get double the number. When you multiply a number by 2, you get double the whole number.
What do you notice about: How are dividing by 1/2 and multiplying by 2 related? Multiplication and division are inverse operations and2 1 2 are reciprocals 1 Reciprocals: when the product of two numbers is 1
Writing a Reciprocal Write the reciprocal of each number. a. 9 9 = 9 1 9 so the reciprocal is 1 b.7 =8 8 7 c.3 4 3 = 4 7 1so the reciprocal is 1 7 d. 7=
To divide a fraction, multiply by the reciprocal of the fraction. You can remember this by thinking invert and multiply. OR "Dividing fractions, as easy as pie, Flip the second fraction, then multiply. And don't forget to simplify, Before it's time to say goodbye"
Dividing With Fractions Find5 5 6 10 5 10 5 6 5 10x6 = Multiply by the reciprocal 5 1 3 5 10x6 5 cross simplify 5 1 1 * 3 5 * 1 =3 Multiply 5
Dividing With Fractions 2 3 Find 7 2 3 7 1 x3 7 = Multiply by the reciprocal 2 7 * 3 1 * 2 =21 Multiply 2 21 2 change the improper fraction to a mixed number = 101 2
Dividing With Fractions Find9 3 4 16 9 16 3 4 9 16x4 = Multiply by the reciprocal 3 3 1 9 16x4 4 cross simplify 3 1 3 * 1 4 * 1 =3 Multiply 4
Dividing With Fractions Find4 1 3 5 4 5 1 3 4 5 x3 = Multiply by the reciprocal 1 4 * 3 5 * 1 =12 Multiply 5 12 5 change the improper fraction to a mixed number = 22 5
Practice 1. 2/3 7/10= 2. 3/4 1/4= 3. 3/10 2/4= 4. 9/12 8/9= 5. 7/9 8/10=
Assignment CW: Complete Guided Practice on pg. 88 HW: Go Math Book pg. 89-90 #8-18 even
