Learning Domain: Geometry: Circles

Standard: Understand and apply theorems about circles

Indicator: Identify and describe relationships among inscribed angles, radii, and chords. Include the relationship between central, inscribed, and circumscribed angles; inscribed angles on a diameter are right angles; the radius of a circle is perpendicular to the tangent where the radius intersects the circle.

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Learning Domain: Number and Quantity: The Real Number System

Standard: Extend the properties of exponents to rational exponents

Indicator: Explain how the definition of the meaning of rational exponents follows from extending the properties of integer exponents to those values, allowing for a notation for radicals in terms of rational exponents. For example, we define 5^(1/3) to be the cube root of 5 because we want [5^(1/3)]^3 = 5^[(1/3) x 3] to hold, so [5^(1/3)]^3 must equal 5.

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Learning Domain: Geometry: Circles

Standard: Understand and apply theorems about circles

Indicator: Prove that all circles are similar.

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