Mathematics
Grade 7
15 min
What percentage is illustrated?
What percentage is illustrated?
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1
Introduction & Learning Objectives
Learning Objectives
Identify the total number of parts in a visual representation.
Accurately count the number of shaded or highlighted parts in an illustration.
Express the relationship between shaded parts and total parts as a fraction.
Convert a fraction representing an illustrated portion into a decimal.
Convert a decimal into its equivalent percentage.
Determine the percentage illustrated by a given visual model (e.g., grids, circles, bar models).
Interpret various visual models to find the percentage they represent.
Ever seen a battery icon on your phone? 🔋 What does it tell you about how much power is left? That's a percentage in action!
In this lesson, you'll learn how to look at pictures and figures and figure out exactly what percentage they represent...
2
Key Concepts & Vocabulary
TermDefinitionExample
PercentageA way to express a number as a fraction of 100. The word 'percent' means 'per hundred' or 'out of 100'.25% means 25 out of 100, or $\frac{25}{100}$.
FractionA way to represent a part of a whole, written as a ratio of two numbers: $\frac{\text{numerator}}{\text{denominator}}$.If 3 out of 4 slices of a pizza are eaten, the fraction representing the eaten portion is $\frac{3}{4}$.
DecimalA number that uses a decimal point to represent parts of a whole, where each digit to the right of the decimal point represents a power of ten (tenths, hundredths, etc.).0.75 is the decimal form of $\frac{3}{4}$.
NumeratorThe top number in a fraction, representing the number of parts being considered or selected from the whole.In the fraction $\fr...
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Core Formulas
Fraction to Percentage Conversion
$\text{Percentage} = \left(\frac{\text{Numerator}}{\text{Denominator}}\right) \times 100\%$
To convert a fraction to a percentage, first divide the numerator by the denominator to get a decimal, then multiply the decimal by 100 and add the percent symbol. This rule is used when you have a fraction and want to express it as a percentage.
Decimal to Percentage Conversion
$\text{Percentage} = \text{Decimal} \times 100\%$
To convert a decimal to a percentage, simply multiply the decimal by 100 and add the percent symbol. This rule is used when you have a decimal and want to express it as a percentage.
Finding Percentage from Illustrated Parts
$\text{Percentage Illustrated} = \left(\frac{\text{Number of Shaded Parts}}{\text{Total Number of...
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Challenging
A 10x10 grid is 80% shaded. Of the shaded squares, 25% are colored with a darker tint. What percentage of the ENTIRE grid is shaded with the darker tint?
A.20%
B.25%
C.55%
D.105%
Challenging
A survey of 50 students is shown on a circle graph. 15 chose Pizza, 25 chose Burgers, and 10 chose Tacos. What percentage of the circle would be shaded to represent students who did NOT choose Burgers?
A.25%
B.40%
C.50%
D.75%
Challenging
A 4x4 grid has its 4 central squares shaded. If the grid is enlarged to an 8x8 grid, and the proportionally same central area is shaded, what percentage of the new 8x8 grid is shaded?
A.12.5%
B.25%
C.50%
D.100%
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