Post on 23-Dec-2015
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Equivalent Fractions
Unit 4.5 Pages 180-184
1. 8 =
2. 10 =
3. 16 =
4. 20 =
1, 2, 4, 8
1, 2, 5, 10
1, 2, 4, 8, 16
1, 2, 4, 5, 10, 20
Warm Up Problems
List the factors of each number
Equivalent Fractions
Objective: Students will be able to write equivalent fractions and mixed numbers.We will model them, multiply and divide them, as well as reduce them into simplest form by finding the G.C.F.
Definitions:
Equivalent Fractions: Fractions that may be written with different denominators, but equal the same amounts when simplified.
Simplest Form : is when both the numerator, and the denominator is reduced into greatest common factors.
Equivalent: means EQUAL
24
12
48
We will be using math disks to show how many different fractions can be equivalent (or equal) to each other.
How many pieces are
in the WHOLE
How many pieces are
used or needed.
How many pieces are
in the WHOLE
How many pieces are
used or needed.
How many pieces are
in the WHOLE
How many pieces are
used or needed.
Each fraction below is EQUIVILENT (or) equal!How many more can you find!
What equivalent fractions were found?
1/2
3/4
3/12
1
When finding equivalent factors we take the same shaded shape and continue to break it into smaller equal pieces.
3468 912
How many pieces we used or needed
How many pieces are in the whole
Numerator represents shaded pieces
Denominator represents wholesNow we can reduce the fraction…
#37) write the equivalent fractions for the picture below:
=
______ = ______
#38) write the equivalent fractions for the picture below:
=
______ = ______
#40) write the equivalent fractions for the picture below:
=
______ = ______
Homework(4.5) Challenge 4-5
Due: Tuesday
match the fractions worksheet.
Equivalent FractionsDay 2.
Unit 4.5 Pages 180-184
1. 2 3
2. 4 8
Warm Up Problems
Draw two equivalent fractions for the fractions listed below:
We can find equal fractions by changing the denominator of the fraction.
46
MultiplyDivide
#2) find two equivalent fractions for each fraction.
MultiplyDivide
312
#3) find two equivalent fractions for each fraction.
MultiplyDivide
3 6
#4) find two equivalent fractions for each fraction.
Divide
618
Divide
We find the missing number that make the fractions equivalent by finding the difference between the
numerator or denominator.
25
10=X ____ =
X ____ = 25
#6) Find the missing number that makes the fraction equivalent. How do we make a 7 turn into a 1?
721
1= ____ =
____ = 3
#7) Find the missing number that makes the fraction equivalent. How do we make a 4 turn into a 28?
3 4
__28
=X ____ =
X ____ =
21
#8) Find the missing number that makes the fraction equivalent. How do we make a 12 turn into a 3?
812
__ 3
= ____ =
____ =
2
When we rewrite a fraction in its simplest formWe need to factor the numerator and denominator
into Greatest Common Factors
210
==
=
1 5
#10) Write each fraction in simplest form.
618
==
=
1 3
#11) Write each fraction in simplest form.
416
==
=
1 4
#12) Write each fraction in simplest form.
915
==
=
3 5
Homework(4.5) page 182
Due: Wednesday
17-24 29-32 (12 total questions)
0.24 6.75
6/25
4
6 3/4
Write each decimal as a fraction.
2 3/5
22
Write as a decimal. 7/8