Slide 1 :
Splash Screen : Splash Screen
Chapter Menu : Chapter Menu Lesson 10-1 Simplifying Radical Expressions
Lesson 10-2 Operations with Radical Expressions
Lesson 10-3 Radical Equations
Lesson 10-4 The Pythagorean Theorem
Lesson 10-5 The Distance Formula
Lesson 10-6 Similar Triangles
Lesson 1 Menu : Lesson 1 Menu Five-Minute Check (over Chapter 9)
Main Ideas and Vocabulary
California Standards
Key Concept: Product Property of Square Roots
Example 1: Simplify Square Roots
Example 2: Multiply Square Roots
Example 3: Simplify a Square Root with Variables
Key Concept: Quotient Property of Square Roots
Example 4: Rationalizing the Denominator
Example 5: Use Conjugates to Rationalize a Denominator
Concept Summary: Simplest Radical Form
Lesson 1 MI/Vocab : Lesson 1 MI/Vocab radical expression radicand
rationalizing the denominator
conjugate Simplify radical expression using the Product Property of Square Roots. Simplify radical expression using the Quotient Property of Square Roots.
Lesson 1 CA : Lesson 1 CA Standard 2.0 Students understand and use such operations as taking the opposite, finding the reciprocal, taking a root, and raising to a fractional power. They understand and use the rules of exponents. (Key, CAHSEE)
Standard 19.0 Students know the quadratic formula and are familiar with its proof by completing the square. (Key)
Key Concept 10-1a : Key Concept 10-1a
Lesson 1 Ex1 : Lesson 1 Ex1 Simplify Square Roots Prime factorization of 52 Product Property of Square Roots Answer:
Slide 9 : A
B
C
D
Lesson 1 Ex2 : Lesson 1 Ex2 Multiply Square Roots Product Property Product Property
Slide 11 : A
B
C
D
Lesson 1 Ex3 : Lesson 1 Ex3 Simplify a Square Root with Variables Prime factorization Product Property Simplify.
Slide 13 : A
B
C
D
Key Concept 10-1b : Key Concept 10-1b
Lesson 1 Ex4 : Lesson 1 Ex4 Rationalizing the Denominator Product Property of Square Roots
Lesson 1 Ex4 : Lesson 1 Ex4 Rationalizing the Denominator Product Property of Square Roots Prime factorization
Lesson 1 Ex4 : Lesson 1 Ex4 Rationalizing the Denominator
Slide 18 : A
B
C
D
Slide 19 : A
B
C
D
Lesson 1 Ex5 : Lesson 1 Ex5 Use Conjugates to Rationalize a Denominator (a – b)(a + b) = a2 – b2
Slide 21 : A
B
C
D
Concept Summary 10-1c : Concept Summary 10-1c
End of Lesson 1 : End of Lesson 1