Math Homework Study for Unit Test!! Individuals: Homework out from Thursday – pg. 161 Monday,...
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Transcript of Math Homework Study for Unit Test!! Individuals: Homework out from Thursday – pg. 161 Monday,...
Math HomeworkStudy for Unit Test!!
Individuals: Homework out from Thursday – pg. 161
Monday, March 16th
Homework Check
Fraction Review• A fraction is always a fraction of something –
for example, ½ of an banana or ⅗ of a pencil. This “something” is called a whole.
• The parts into which the whole is divided must be the same size – they must be “fair shares.”
Fraction Review• The number below the fraction bar is called the
denominator. It names the number of equal parts into which the whole is divided.
• The number above the fraction bar is called the numerator. It names the number of parts under consideration.
– For example, if Barney ate ⅔ of a sandwich, the sandwich is the “whole.” The fraction ⅔ tells us that the sandwich was divided into 3 equal parts, and Barney ate two of the three pieces.
• Numbers such as 45 ½ and 11 ⅗ are called mixed numbers.
Fraction Review
• Decomposing fractions – writing fractions and mixed numbers as sums.• Example: ⅘ can be decomposed into the sum of
⅕ + ⅗ or the sum of ⅖ + ⅖.
Fractional Parts of a Whole
There are 35 pencils that make a “whole.” Draw a picture and figure out a way to divide the
pencils into fifths.
How many pencils make up ⅕?
Circle ⅘ of the pencils.
1 whole = 35 pencils⅕ = 7 pencils ⅘ = 28 pencils
Fractional Parts on a Number Line
0 1 2
Draw the number line below and fill in the fractional parts…
⅞ 1 ⅜
Probability1 out of 6
3 out of 6
3 out of 7
5 out of 6
Adding Fractions
There are 2 simple steps to add fractions:• Step 1: Make sure the denominators are the
same.• Step 2: Add the numerators, put the answer over
the denominator.
Adding Fractions with Like Denominators
⅕ + ⅖ = ___Are the denominators the same?
Then add the numerators.What’s the answer?
⅗
Adding Mixed Numbers with Like Denominators
1 ⅜ + 7 ⅛ + ⅛ = ___Are the denominators the same?
Add the fractions, then add the whole numbers.What’s the answer?
8 ⅝
Adding Fractions with Unlike Denominators
Step 1: The bottom numbers are different. See how the slices are different sizes?
We need to make them the same before we can continue, because we can’t add them like that.
We have to find the LCD Least Common Denominator
Whatever you do to the bottom of the fraction, you must to do the top!!!
LCD = 6
• ⅙ already has a denominator of 6, so we’ll leave it alone.
• In order for ⅓ to have a like denominator, we have to multiply the fraction by 2.
Practice
2 53 9+
4 36 12+
3 14 2+
=
=
=
3 24 7+
5 19 7+
3 410 15+
=
=
=
Review
Equivalent Fraction Rule: if the numerator and the denominator of a fraction are multiplied by the same non-zero number, the result is a fraction that is equivalent to the original fraction.
Example: 3 155 25x = _ 5
Find 5 Equivalent Fractions for Each
25 =
37 =
89 =
Covert Fractions to Decimals
Write the following fractions as decimals:
4 5
34100
210
87100
1,000s 100s 10s 1s 0.1s 0.01s 0.001s
Thousands Hundreds Tens Ones . Tenths Hundredths Thousandths
0.8 0.34 0.2 0.87
Practice
Complete all Unit 7 journal pages. You will not be able to complete pages 214-215
because it is an experiment, so skip it.
Time : End of ClassVoice Level: 0