Download Grade_5AP_Unit 4 Part 1 Study Notes 11-11

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Grade 5AP – Unit 4 Notes, Part 1
This chart contains a list of skills and concepts that your child will practice during this unit of study. These skills may appear on the Unit Progress
Check at the end of the unit. Also, please refer to the Family Math Letter and Everyday Math Online (www.everydaymathonline.com ) for other
ideas on working with your child on these skills.
What you will learn in this unit
Examples and Notes
Find missing numbers for pairs of
equivalent fractions.
1/2 = 5/
10/11 = /110
3/5 = 9/
To find the missing number (numerator or denominator), use multiplication.
1
5
since 1 x 5 = 5
=
2

then 2 x 5 = 10 , so  = 10
Write fractions in simplest form.
4/6 = ___; 30/100 = ____; 24/96 = ____; 19/4 = ____
To find the simplest form of a fraction, use division of the numerator and
denominator.
4 ÷ 2 = 2
6
2
3
Note that 2/2 is = 1 whole. Therefore dividing by 2/2 is the same as dividing by 1
which will yield the original number. Therefore 4/6 = 2/3 (The value hasn’t
changed but the fraction has been simplified.)
Simplified fractions are fractions that do not have any common factors in the
numerator and denominator.
Rename fraction pairs using the Least
Common Denominator.
19/4 is an improper fraction that can be written as a mixed number.
There are four 4’s in 19 with 3 remaining…therefore, 19/4 = 4 3/4
Rename with common denominator: 3/4 and 5/16; 1/7 and 2/9
The Least Common Denominator (LCD) can be found using The Least Common
Multiple. The LCD is lowest number that is a multiple of both denominators in
the given fractions.
For example:
3/4 and 5/16  The denominators are 4 and 16.
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Review
73, 76-77
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78-79
What you will learn in this unit
Examples and Notes
Compare fractions (with like and unlike
denominators) and decimal using <, >,
or =.
Multiples of 4:
Multiples of 16:
____________ is the lowest number that is a multiple in both fractions, and is
therefore the LCD.
To rename the fractions, write the fractions equivalent to the given fractions
using 16 as the denominator.
3/4 = /16 
5/16 is already in the needed form with 16 as the denominator.
Therefore the renamed fraction pair is ______ and 5/16
To compare fractions: <, >, or =
1) Compare the fractions to benchmark fractions of 1, 1/2, 3/4, etc.
Given 4 1/2  4 5/7
Use fraction models to add and
subtract fractions with like or unlike
denominators.
2) Use an equivalent for one of the fractions.
4/9  1/3
3) Use a common denominator.
4 1/2  4 5/7
4) Convert the fractions to decimals.
2 1/4  11/4
2/3 + 5/6
(2 out of every 3)
(5 out of every 6)
(7 out of every 8)
(3 out of every 4)
When subtracting….. look for how many more pieces are in the largest fraction.
There are 1 out of the 8 pieces more in the larger fraction than in the smaller
fraction. Therefore, 7/8 – 3/4 = 1/8.
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SRB Pages to
Review
75
What you will learn in this unit
Examples and Notes
SRB Pages to
Review
2 5/6 + 1 1/3
Add and subtract fractions with like
and unlike denominators (with or
without models).
Add and subtract mixed numbers with
like and unlike denominators (with or
without models).
The following skills will be reviewed.
Write the prime factorization of a
number using a factor tree or factor
string.
1/8 + 5/6 =
7/8 – ¾ =
83
Note: Remember, fractions (written as fractions) cannot be added or subtracted
until the denominators are common. Fractions (written as decimals) can be
added or subtracted by following rules for adding and subtracting decimals.
When dealing with fractions, the result of the decimal computation should be
written in simplified fraction form.
2 1/3 + 1 2/3=
2 3/4 + 1 1/6 =
3 5/6 + 2 1/6 + 1 1/3 =
2 5/6 – 1 1/6 =
3 2/3 – 1 5/6 =
Make a factor tree to find the prime factorization of each number.
Find the prime factorization of 30 and 75.
30
75
Note: The circled numbers are prime numbers that cannot be factored any
more. The prime factorization is the prime numbers written in a factor string.
Write the Prime Factorization of these numbers:
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What you will learn in this unit
Examples and Notes
SRB Pages to
Review
30:
75:
Find the Greatest Common Factor
based on the prime factorization.
Find the GCF of 30 and 75.
The prime factorization for 30 is:
The prime factorization for 75 is:
What factors do they share?
30 is:
75 is:
They share a _____ and a _____, therefore the GCF is the product of these
numbers or ___________.
OR
Note: List all of the factors of the two numbers, 30 and 75 and determine the
Greatest Factor they have in Common to find the GCF.
30:
75:
The greatest factor they share is _____________.
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