Real-World Applications

Front

Proportion Noun

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[pruh-por-shun]

Back

Proportion

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A mathematical statement declaring that two ratios or fractions are equal to each other.

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Example: This balance scale compares the weights of a rock and a feather, showing they are not equal and thus not in proportion to each other.

Front

Sales Tax Noun

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[seylz taks]

Back

Sales Tax

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A tax on sales or on receipts from sales, typically calculated as a percentage of the purchase price.

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Example: This receipt shows how sales tax works. The tax amount ($8.00) is added to the subtotal ($100.00) to calculate the final total cost ($108.00).

Front

Gratuity Noun

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[gruh-too-i-tee]

Back

Gratuity

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A tip or sum of money given to someone for a service, usually calculated as a percentage of the bill.

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Example: This image shows a restaurant receipt and visually breaks down how to calculate a gratuity (tip) by taking a percentage of the subtotal.

Front

Pythagorean Theorem Noun

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[puh-thag-uh-ree-uhn thee-er-uhm]

Back

Pythagorean Theorem

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The principle that the square of the hypotenuse in a right triangle equals the sum of the other two sides squared.

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Example: This image visually proves the Pythagorean theorem by showing that for a right-angled triangle, the area of the square on the hypotenuse (c²) equals the sum of the areas of the squares on the other two sides (a² + b²).

Front

Hypotenuse Noun

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[hai-pot-n-oos]

Back

Hypotenuse

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The longest side of a right-angled triangle, which is always the side opposite the right angle.

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Example: This image shows a right-angled triangle with two sides measured in meters. It demonstrates how to calculate the length of the hypotenuse, the longest side, using the Pythagorean theorem (a² + b² = c²).

Front

Legs (of a right triangle) Noun

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[legz]

Back

Legs (of a right triangle)

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The two sides of a right-angled triangle that intersect to form the ninety-degree right angle.

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Example: This diagram shows a right triangle, where the two sides that form the 90-degree angle are called the 'legs'.

Front

Area Noun

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[air-ee-uh]

Back

Area

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The measure of the amount of two-dimensional space enclosed within a boundary or shape.

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Example: This diagram shows how to find the area of a real-world rectangular space, like a room or garden, by multiplying its length (7m) by its width (4m).

Front

Radius Noun

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[rey-dee-uhs]

Back

Radius

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A straight line segment extending from the center of a circle or sphere to its circumference or surface.

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Example: This diagram shows a line segment extending from the center of a circle to its edge, representing the radius, and provides a real-world measurement of 50cm.

Front

Diameter Noun

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[dahy-am-i-ter]

Back

Diameter

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A straight line passing from side to side through the center of a circle or sphere.

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Example: A ruler measures the diameter of a circle, showing it is the straight-line distance across the center from one edge to the other.

Front

Pi (π) Noun

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[pahy]

Back

Pi (π)

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A mathematical constant representing the ratio of a circle's circumference to its diameter, approximately equal to 3.14159.

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Example: This diagram shows that for any circle, the constant ratio of its circumference (distance around) to its diameter (distance across) is always Pi (π).