Radical Expressions and Equations

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Presentation transcript:

Radical Expressions and Equations Chapter 10

10.1 The Pythagorean Theorem Pg. 614 – 618 Obj: Learn how to solve problems using the Pythagorean Theorem and identify right triangles. Content Standard: G.SRT.8

10.1 The Pythagorean Theorem Hypotenuse – the longest side of a right triangle – opposite of the right angle (c) Leg – one of the shorter sides of a right triangle – one of the two sides that form the right angle (a and b) Pythagorean Theorem

10.1 The Pythagorean Theorem Conditional – an if-then statement Hypothesis – the part following the “if” Conclusion – the part following the “then” Converse – switches the hypothesis and the conclusion Converse of the Pythagorean Theorem –

10.2 Simplifying Radicals Pg. 619 – 625 Obj: Learn how to simplify radicals involving products and quotients. Content Standard: Prepares for A.REI.2

10.2 Simplifying Radicals Radical Expression – an expression that contains a radical Multiplication Property of Square Roots Division Property of Square Roots

10.3 Operations with Radical Expressions Pg. 626 – 631 Obj: Learn how to simplify sums, differences, products, and quotients of radical expressions. Content Standard: Prepares for A.REI.2

10.3 Operations with Radical Expressions Like radicals – radicals that have the same radicand Unlike radicals – radicals that have different radicands Conjugates

10.4 Solving Radical Equations Pg. 633 – 638 Obj: Learn how to solve equations containing radicals and identify extraneous solutions. Content Standard: A.REI.2

10.4 Solving Radical Equations Radical Equation – an equation that has a variable in a radicand Extraneous Solution – an apparent solution that does not satisfy the original equation

10.5 Graphing Square Root Functions Pg. 639 – 644 Obj: Learn how to graph square root functions and translate graphs of square root functions. Content Standards: F.IF.7.b and A.CED.2

10.6 Trigonometric Ratios Pg. 645 – 651 Obj: Learn how to find and use trigonometric ratios. Content Standards: G.SRT.8 and G.SRT.6

10.6 Trigonometric Ratios Trigonometric Ratios – ratios of the side lengths of a right triangle Sine = opposite/hypotenuse Cosine = adjacent/hypotenuse Tangent = opposite/adjacent