Chapter 10.1Common Core – G.SRT.8 Use trigonometric ratios and the Pythagorean Theorem to solve right triangles in applied problems.

Objectives – To solve problems using the Pythagorean Theorem. To identify right triangles.

Ch 10.1 NotesThe Pythagorean Theorem

a c

b

Pythagorean Triple – a, b, & c are whole numbers

Examples

1) 3 x 4

2) 10 26

x

Chapter 10.2Common Core – A.REI.2 Solve simple rational and radical equations in one variable, and give examples showing how extraneous solutions my arise.

Objectives – To simplify radicals involving products and quotients.

Ch 10.2 NotesSimplifying Radicals = 2 = 9 = 3 = 10 = 4 = 11 =5 = 12 = 6 = 7 = 8

ExamplesSimplify the Radicals1) 2) 3)

4) 5) 6)

7) 8) 9)

10) 11) 12)

Chapter 10.3Common Core – A.REI.2 Solve simple rational and radical equations in one variable, and give examples showing how extraneous solutions my arise.

Objectives – To simplify sums and differences of radical expressions. To simplify products and quotients of radical expressions. .

Ch 10.3 NotesOperations with Radical ExpressionsSimplify the following:1) 7 - 12 2) 5 - 2 + 3

3) 5 - 4) 4 + 2

5) ( + 3) 6) ( - 5)

7) ( + 3) ( - 3) 8) ( - 7) (5 + 7)

9) 10)

Chapter 10.4Common Core – A.REI.2 Solve simple rational and radical equations in one variable, and give examples showing how extraneous solutions my arise.

Objectives – To solve equations containing radicals. To identify extraneous solutions.

Ch 10.4 NotesSolving Radical ExpressionsSolve the following:1) + 7 = 16 2) - 5 = -2

3) = 4) x =

5) + 8 = 2 6) 3 - = 12