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Proportions

Proportions. Learning Objectives. Define proportionality and apply it to problems. Relational Notation. Mathematics often describes relationships between two quantities using relational operators. Relational Notation. Examples: A < B (“A less than B”)

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Proportions

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  1. Proportions

  2. Learning Objectives • Define proportionality and apply it to problems

  3. Relational Notation Mathematics often describes relationships between two quantities using relational operators.

  4. Relational Notation • Examples: A < B (“A less than B”) X Y (“X greater than or equal to Y”) V r3 (“V proportional to radius cubed”) • See Table 2.2 of Mathematics Supplement for other relational operators.

  5. Direct Proportionality • The operator indicates proportionality between quantities. Example: C r (circumference directly proportional to circle radius) C = 2 r (2 is the proportionality constant)

  6. Direct Proportionality Example: A r2 (circle directly proportional to radius squared) A = r2 ( is the proportionality constant)

  7. Inverse Proportionality Example: (y is inversely proportional to x squared.) (k is theproportionality constant)

  8. Other Relational Notations Example: A = f (b,h) or A = A (b,h) “The area A, is a function of the base, b, and the height, h.” Mathematically, A h b

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