Unit 10

Radical Expressions and Equations

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Equivalence
Essential Question: How are radical expressions represented?

Functions
Essential Question: What are the characteristics of square root functions?

Solving Equations and Inequalities
Essential Question: How can you solve a radical equation?
   

 

Graphing Calculator

Lesson/Objective Supplemental Lessons On-line Practice Homework
10-1  The Pythagorean Theorem

Objective:  To solve problems using the Pythagorean Theorem. To identify right triangles.

Essential Understandings: 
The lengths of the sides of a right triangle have a special relationship. If you know the lengths of any two of the sides, you can find the length of the third side.
 


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See Blog for hw

10-2  Simplifying Radicals

Objective:  To simplify radicals involving products and quotients.

Essential Understandings: 
You can simplify radical expressions using multiplication and division properties of square roots.
 

Simplest Radical Form by Mr. C.


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10-3  Operations with Radical Expressions

Objective:  To simplify sums and differences of radical expression. To simplify products and quotients of radical expressions.

Essential Understandings: 
You can use the properties of real numbers to perform operations with radical expressions.

 


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hw#10-3: Due 
pg 610-11 #35, 39, 41, 47, 49, 55c
pg 616-17 #1-8, 11, 15, 19, 23, 25, 29, 31, 35, 47, 49

A forward thinking algebra student might be looking at the Mid-Chapter Quiz on pg 619

10-4  Solving Radical Equations

Objective: To solve equations containing radicals. To identify extraneous solutions

Essential Understandings: 
You can solve some radical equations by squaring each side of the equations and testing the solution.
 

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hw#10-4: Due 
pg

QUIZ on sections 10-1 thru 10-4 TBA

10-5  Graphing Square Root Functions (SKIP)

Objective: To graph square root functions. To translate graphs of square root functions

Essential Understandings: 
You can graph a square root function by plotting points of using a translation of a parent square root function.
 


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hw#10-5:  (SKIP)
10-6  Trigonometric Ratios

Objective: To find and use trigonometric ratios.

Essential Understandings: 
You can use the sine, cosine and tangent ratios to find the measurements of sides and angles of right triangles. 

 

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MORE VIDEOS: Angles of elevation and depression


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hw#10-6: Due 
pg
UNIT TEST REVIEW   UNIT 10 EXTRA PRACTICE

CUMULATIVE REVIEW 1-10

hw#10-7 Due 
pg
 
UNIT 10 TEST:  TBA