Download Making Equivalent Fractions

Making
Equivalent Fractions
Objectives
• Students will be able to:
– Model equivalent fractions with concrete
objects or pictorial representations.
– Students will recognize equivalent fractions
and will find equal fractions to known
fractions.
– Explain equivalence of fractions in special
cases, and compare fractions by reasoning
about their size.
Vocabulary
• Equivalent: Fractions which have the same
value, even though they may look different.
Example 1/2 and 2/4 are equivalent,
because they are both "half"
• Greatest Common Factor: (GCF) The highest
number that divides exactly into two or more
numbers.
– Example: the GCF of 12 and 30 is 6, because
1, 2, 3 and 6 are factors of both 12 and 30,
and 6 is the greatest.
Vocabulary Continued
• Least Common Multiple: (LCM)- The
smallest multiple that is shared between 2
or more numbers.
– Example:
The multiples of 4 are:
4,8,12,16,20,24,28,32,36,40,44,...
The multiples of 5 are:
5,10,15,20,25,30,35,40,45,50,...
So, The least common multiple of 4 and
5 is 20.
To Make Equivalent Fractions
• Multiply the numerator and
denominator by the same number.
• You will get a new fraction with the
same value as the original fraction.
• We are not changing the value of the
fraction, because we are simply
multiplying by a fraction that is
equivalent to ONE.
Equivalent Fraction Models
Name the fraction that is shaded:
2
3
=
4
6
What are the missing numbers?
1
2
=
2
4
=
3
6
What are the missing numbers?
1
2
=
4
8
=
5
10
What do you get when you multiply a
number by 1?
You get that number!
5x1=5
7x1=7
37 x 1 = 37
23 x 1 = 23
17 x 1 = 17
All these fractions = 1
7
2
When the
numerator &
denominator of a
fraction are the same,
the fraction
equals 1.
7
2
33
33
5
5
4
4
What do you get when you multiply
a fraction by 1?
You get
AN EQUIVALENT FRACTION
that makes
adding & subtracting fractions
possible.
Make An Equivalent Fraction
Find the Missing Numerator!
x3
x3
Given the new
denominator, can you
find the missing
numerator?
Make An Equivalent Fraction
Find the Missing Numerator!
x4
x4
Given the new
denominator, can you
find the missing
numerator?
Make An Equivalent Fraction
Find the Missing Numerator!
Given the new
denominator, can you
find the missing
numerator?
x9
x9
Make An Equivalent Fraction
Find the Missing Numerator!
x3
x3
Given the new
denominator, can you
find the missing
numerator?
Make An Equivalent Fraction
Find the Missing Numerator!
x9
x9
Given the new
denominator, can you
find the missing
numerator?
Make An Equivalent Fraction
Find the Missing Numerator!
x3
x3
Given the new
denominator, can you
find the missing
numerator?
Make An Equivalent Fraction
Find the Missing Numerator!
Given the new
denominator, can you
find the missing
numerator?
x7
x7
Make An Equivalent Fraction
Find the Missing Numerator!
x5
x5
Given the new
denominator, can you
find the missing
numerator?
Make An Equivalent Fraction
Find the Missing Numerator!
x6
x6
Given the new
denominator, can you
find the missing
numerator?
Make An Equivalent Fraction
Find the Missing Numerator!
x6
x6
Given the new
denominator, can you
find the missing
numerator?
Make Equivalent Fractions
Find the Missing Numerators!
44
12
55
42
45
28
54
63
Video Time!!!
• Equivalent fractions
Classwork: Try these sites to help you practice
creating equivalent fractions: Fresh Baked Fractions
and Virtual Manipulatives
Homework Time!
Equivalent Fractions Practice HO