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Radical Expressions and Equations

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.

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Radical Expressions and Equations

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  1. Radical Expressions and Equations Chapter 10

  2. 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

  3. 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

  4. 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 –

  5. 10.2 Simplifying Radicals • Pg. 619 – 625 • Obj: Learn how to simplify radicals involving products and quotients. • Content Standard: Prepares for A.REI.2

  6. 10.2 Simplifying Radicals • Radical Expression – an expression that contains a radical • Multiplication Property of Square Roots • Division Property of Square Roots

  7. 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

  8. 10.3 Operations with Radical Expressions • Like radicals – radicals that have the same radicand • Unlike radicals – radicals that have different radicands • Conjugates

  9. 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. 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

  11. 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

  12. 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

  13. 10.6 Trigonometric Ratios • Trigonometric Ratios – ratios of the side lengths of a right triangle • Sine = opposite/hypotenuse • Cosine = adjacent/hypotenuse • Tangent = opposite/adjacent

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