MGSE6.RP3.c Percent

​Standard: MGSE6.rp.3C

Find a percent of a quantity as a rate per 100 (e.g. 30% of a quantity means 30/100 times the quantity); given a percent, solve problems involving finding the whole given a part and the part given the whole.​

6TH GRADE | MATHEMATICS

MGSE6.RP.3C​

​LEARNING TARGETS

​I can solve percent word problems to find the whole, given the part and percent.

I can solve percent wo​rd problems to find the part, given the whole and percent.

I can write a percent as a fraction out of 100.

I can solve percent word problems by setting up a proportion.​

6TH GRADE | MATHEMATICS

MGSE6.RP.3C​

​Vocabulary

Decimal -​ a fraction whose denominator is a power of ten and whose numerator is expressed by figures placed to the right of a decimal point.

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Fraction - A number expressible in the form a/b where a is a whole number and b is a positive whole number.

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Percent - A fraction or ratio in which the denominator is 100. A number compared to 100.

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Proportion -An equation which states that two ratios are equal.

6TH GRADE | MATHEMATICS

MGSE6.RP.3C​

​essential question

What are percentages?​

6TH GRADE | MATHEMATICS

MGSE6.RP.3C​

and

Finding a whole given part and %​

Percent of a number

Example: What is 30% of 180?

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Example: Walmart is having a clearance sale of 25% of everything. If I buy a new bike that costs $400, how much will I save?

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Example: A bag of skittles has 60 pieces in it. 10% of the skittles are purple. How many pieces are purple?​

Subject | Subject

How do I find a percent of a number?!?

​ - Example: What is ​25% of 400?

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Step 1: Change your percent into a decimal​

​How do I find a percent of a number?!?

​ - Example: What is ​25% of 400?​

Step 1: Change your percent into a decimal​ ---> 0.25 or .25

Step 2: Multiply your decimal (.25) by the whole number (400)

• 0.25 x 400 = ​

​​How do I find a percent of a number?!?

​ - Example: What is ​25% of 400?​

Step 1: Change your percent into a decimal​ ---> 0.25 or .25

Step 2: Multiply your decimal (.25) by the whole number (400)

• 0.25 x 400 = ​100

​So...25% of 400 is 100.

Examples:

• 5 is 10% of what number?

• There are 16 boys in the classroom. This is 80% of the class. How many total students are in the classroom?​

  • Here, we have a part and a percent. We know we have a part because percent is always out of 100%. We do not have 100% in these type of problems!​ The problems are saying the number we have is that percentage.

Example: 5 is 10% of what number?

• This problem is stating 5 = 10%. We should recognize that ​since

  5 = 10%, we are missing the whole number.

• Step 1: write your equation of % x whole = ​part

  • 10% x whole = 5

• ​Step 2: change your percent into a decimal

Some text here about the topic of discussion

Finding Percent of a Number vs Finding a Whole Given Part and Percent

• Finding a percent: the problem gives you a percent and a number. The number is the whole number and we are trying to find what number the percentage represents. What is 10% of 100. The word of means what part of 100 is 10%

Finding Whole Given Part and Percent

• Here, the Percent is the number given. 20 is 10% of what number?

  • The sentence is saying 20 = 10%...we know that percent is out of 100% so 20 is not the whole. It is also saying that of what number? Meaning the missing number is the big/whole number!

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