Proportions Section 6-1. ratio – a comparison of 2 quantities The ratio of a to b can be expressed as a:b or where b is not 0.

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Presentation transcript:

Proportions Section 6-1

ratio – a comparison of 2 quantities The ratio of a to b can be expressed as a:b or where b is not 0.

A special ratio often found in nature and used by artists and architects is the golden ratio. It is approximately 1: The Fibonacci sequence is related to the golden ratio. Each term in the sequence is the sum of the 2 previous terms. (1,1,2,3,5,8,13,…)

proportion – an equation stating that 2 ratios are equal eg. = The cross products of a proportion are equal. (The product of the means equals the product of the extremes.) = mean extreme

Equality of Cross Products For any numbers a and c and any nonzero numbers b and d, iff ad = bc. =

Joke Time How do you catch a “unique” rabbit? “Unique” up on him!

How do you catch a “tame” rabbit? The “tame” way!