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
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