**1 50 As A Percent** – 2 [Objectives] Students will solve problems including finding percentages as rates per 100, finding a given fraction, and percentages.

How can I define a percentage as a ratio? Given a fraction and a whole how can I find the percentage? Given the fraction and percent of a number how can I find the whole?

## 1 50 As A Percent

Tadarius is going to start football. He needs to buy a uniform, shoes and a football. Shoes are $20, uniforms are $48, and soccer balls are $22. If the shoes are sold at 25% off the regular price, how much is the discount? S Study the problem Underline the question. This problem asks me to find the discount amount for shoes.

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How many of the 100 cubes are placed on the grid? 25 out of 100 Can the number of cubes be expressed as a ratio in fraction form? Yes! 𝟐𝟓 𝟏𝟎𝟎

Add 10 more cubes to the 25 already on the grid. State the ratio of the cube of 100 in term and fraction form. 35 out of 100 𝟑𝟓 𝟏𝟎𝟎

Move 4 cubes. State the ratio of the cube of 100 in term and fraction form. 31 out of 100 𝟑𝟏 𝟏𝟎𝟎

Need some more practice? Add or subtract cubes and identify terms and fraction forms. ? Out of 100? 𝟏𝟎𝟎

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Place 10 cubes horizontally across the top of the page. Remove each cube and shade the squares using a blue pencil.

If 10 shaded squares equals the percentage of shaded squares out of 100, what is the percentage of 10 shaded squares? 10%

Add another 15 cubes. Remove each cube and shade the squares using a green pencil.

How many squares are not shaded? 25 How can we write this value as a ratio? 𝟐𝟓 𝟏𝟎𝟎 How can we write this as a percentage? 25%

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What is 40% of 100? Write as a ratio. What trouble do you find? 40% of 100

What is 40% of 100? Write as a ratio. Do you know the total number of squares in the grid? Yes, 100

What is 40% of 100? Write as a ratio. So what are you really looking for? Number of squares that equals 40%.

What is 40% of 100? Write as a ratio. Indicate the proportion of the shaded portion of the grid. 𝟒𝟎 𝟏𝟎𝟎

### Solved] In A Game Of Chance, The Probability Of Winning A $50 Is 40 Per Cent And The Probability Of Losing A $50 Prize Is 60 Per Cent. What Is The E…

What is 40% of 100? Write as a ratio. How many shaded squares equal 40% of the grid? 40

How does problem 3 differ from problem 1? The problem gives 1 percent and asks what part of the grid is shaded. Problem 3 gives the value of the shaded square and asks for the percentage.

25 is what percent of 100? Write as a ratio. Identify the total number of squares in the grid? 100

25 is what percent of 100? Write as a ratio. Explain how to write the value of the shaded square as a ratio. 𝟐𝟓 𝟏𝟎𝟎

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25 is what percent of 100? Write as a ratio. Determine the percentage of the shaded square. justification 𝟐𝟓% because the shaded square is equal to the percentage of the shaded square out of 100, or 25%

How does problem 5 differ from problem 3? Problem 3 gives the value of the shaded square and asks for the percentage. Problem 5 gives price and percentage and asks for total price.

15 is 15% of any number? Write as a ratio. Mark the total number of squares in the grid. 100

15 is 15% of any number? Write as a ratio. Explain how to write the value of the shaded square as a ratio. 𝟏𝟓 𝟏𝟎𝟎

#### Percent, Percentage, Using Percentages

15 is 15% of any number? Write as a ratio. Determine the whole number of squares that are compared to 15. 100

What percent of 100 is 50? Write as a ratio. Determine what the problem is asking you to find. What percent of 100 is 50?

What percent of 100 is 50? Write as a ratio. Identify the total number of squares in the grid? 100.

What percent of 100 is 50? Write as a ratio. Determine what you are looking for. The percentage of squares that equal 50 out of 100.

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What percent of 100 is 50? Write as a ratio. Indicate the proportion of the shaded portion of the grid. 𝟓𝟎 𝟏𝟎𝟎

Finding Equivalent Parts: Unknown Part Complete = Percent 100 Percent Part Complete What are you looking for in Problem 1? solution

Finding Equivalent Fractions: Unknown Part Whole = Percent 100 Percent Part Whole Problem What is known? The solution is the part of 100 that is shaded, and the total number of squares on the grid, which is 100.

Finding Equivalent Fractions: Unknown Part Complete = Percent 100 Percent Part Complete Identify the total number of squares in the grid. Solution 100

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Finding Equivalent Fractions: Unknown Part Whole = Percent 100 Percent Part Whole What is the value of the denominator of the second fraction? Solution 100

Finding Equivalent Fractions: Unknown Part Whole = Percent 100 Percent Part Whole Why is 100 when finding percent? Solution When finding a percentage, a number is always compared to 100.

Finding Equivalent Fractions: Unknown Part Whole = Percent 100 Percent Part Whole Multiply this fraction by “percent”. What numbers are percentages compared to when calculating percentages? Solution 100

Finding Equivalent Fractions: Unknown Part Whole = Percent 100 Percent Part Whole The numerator of the first fraction is the “part”. Determine which part of the whole is using the grid. Solution Number of shaded squares that are shaded to represent a whole section.

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Finding Equivalent Fractions: Unknown Part Whole = Percent 100 Percent Part Whole The denominator of the first fraction is “whole”. Determine what the whole means using the grid. Solution Total number of squares including shaded and unshaded squares.

Finding Equivalent Fractions: Unknown Part Whole = Percent 100 Percent Part Whole We can use proportional relationships to find missing values with percentages. Complete part of solution = 100%

Finding Equivalent Fractions: Unknown Part Complete = Percent 100 50 Percent Part Complete = 100 Identify the portion of the shaded grid. Record the numerator in the “Equivalent Fractions” field. Solution 50 sq

Finding Equivalent Fractions: Unknown Part Complete = Percent 100 50 Percent Part Complete = 100 100 Mark the number of squares on the grid. Record the denominator in the “Equivalent Fraction” box. Solution 100 sq

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Finding Equivalent Fractions: Unknown Part Complete = Percent 100 50 x Percent Part Complete = 100 100 Do we know the percent? Solution Record the number as “x” to represent an unknown value.

Finding Equivalent Fractions: Unknown Part Whole = Percent 100 50 x Percent Whole Part = 100 Given the letters 100, which number can we multiply by 100 to get a product of 100? Multiply the solution by 1.

Finding Equivalent Fractions: Unknown Part Whole = Percent 100 50 x Percent Part Whole = 100 100 Whatever is multiplied by, the numerator must also be multiplied by. Solution 50 50 = 100 100 𝟓𝟎×𝟏=𝟓𝟎 50 is 50% of 100.

2 is what percent of 4? Compare Problem 1 with Problem 2. There is no grid for this problem.

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Finding Equivalent Fractions: Unknown Part Whole = Percent 100 Percent Part Whole 100 Are you finding any problems? solution

Finding Equivalent Fractions: Unknown Part Whole = Percent 100 2 Percent Part Whole = 100 What is a whole fraction? Solution 2

Finding Equivalent Fractions: Unknown Part Whole = Percent 100 2 Percent Part Whole = 4 100 What is the whole number? Solution 4

Finding Equivalent Fractions: Unknown Part Complete = Percent 100 2 Percent Part Complete = 4 100 What is the unknown for the equivalent fraction? Solution Percent.

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Finding Equivalent Fractions: Unknown 𝑝𝑎𝑟𝑡 𝑤ℎ𝑜𝑙𝑒 = 𝑝𝑒𝑟𝑐𝑒𝑛𝑡 100 How can the fraction 2 x percent express the whole value of the unknown 0 percent? Solution Represent the percentage with a variable: “x.”

Find equivalent fractions: Unknown part complete = percent 100 2 x percent part complete = 4 100 Find equivalent fractions. What is equal to x? Solution 2 50 = 4 100 2 is 50% of 4. x =𝟓𝟎

Finding Equivalent Fractions: Unknown Part Whole = Percent 100 Percent Part Whole = 4 100 What is the whole for this problem? Solution 4

Finding Equivalent Parts: Unknown Part Complete = Percent 100 75 Percent Part Complete = 4 100 What is the percent of this problem? solution 75%

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Finding Equivalent Parts: Unknown Part Complete = Percent 100 x 75 Percent Part Complete = 4 100 How to represent the unknown part? Solution with variable: “x”

Finding Equivalent Fractions: Unknown Part Complete = Percent 100 x 75 Percent Part Complete = 4 100 Solution What is the final answer? 3 75 = 4 100 x = 3 3 is 75% of 4.

Finding Equivalent Parts: Unknown part complete = percent 100

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