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