Day: July 11th

HOMEWORK

-pg736 #'s 11-19 odds
-pg 738 practice quiz 2



What you'll learn...

• Solve problems by using the Law of Sines
• Determine whether a triangle has one, two, or no solutions
  

Law of sines-1

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Law of cosines

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Day 14: July 10th review and homework

Homework:

• 13.2 Angles and Angle measurements-HW: pg 713 #'s 27-41 odd, 43, 49, 53
• 13.3 Trigonometric Functions of General Angles-HW: pg 722 #'s 17-21, 25-31, 33-39 ODDS!!
• Also, watch the video on Inverse Trig Functions and try problems pg 749 #'s 6-13 all.

HAVE A WONDERFUL WEEKEND!


13.2 Angles and Angle Measure

What you'll learn...

• Change radian measure to degree measure and vise versa
• Identify coterminal Angles
  

Most of you are used to thinking of a circle in terms of degrees: 360° is the whole circle. 180° is half the circle etc... Well, radian measure is just a different way of talking about the circle. Radian measure is just different unit of measure.

Just as we can measure a football field in yards or feet--we can measure a circle in degrees (like the good old days) or in radians (welcome to the big leagues!)

Think about what the word radian sounds like...well, it sounds like 'radius', right? It turns out that a radian has a close relationship to the radius of a circle

Definition of radian(we'll break this down more on this page): a radian is the measure of an angle that, when drawn a central angle of a circle, intercepts an arc whose length is equal to the length of the radius of the circle.

Degrees to radians

The general formula for converting from degrees to radians is to simply multiply the number of degree by Π /180°

• Example 1:
  Convert 200° into radian measure:
  200° (Π/180°) = 200/180Π radians or 3.49 radians
• Example 2:
  Convert 120° into radian measure:
  120° (Π/180°) = (2/3)Π radians = 2.09 radians

Radians to degrees

The general formula for converting from degrees to radians is to simply multiply the number of degree by 180°/(Π)

• Convert 1.4 radians into degrees: 1.4 (180°/Π) = 80.2 °

Example 1: Click on link






13.3 Trigonometric Functions of General Angles







Example 2: Use a Reference Angle to find a Trigonometric Value


13.7 Inverse Trigonometric Functions
What you'll learn...

* Solve Equations using Inverse Trigonometric Functions
* Find values of trigonometric expressions








Practice Quiz

Day 12: Review and homework

HOMEWORK

• Study for ch 9 test by finish the review sheet.
• 13.1 Right Triangle Trig HW: pg 706-707 #'s 15, 17, 21, 23, 25, 31, 35
  

What you'll learn...

• How to solve rational equations

Ch 9 Test Review



Chapter 13 Trigonometric Functions

What you'll learn...

• Find values of trigonometric functions for acute angles
• Solve problems involving right triangles.

*****Chapter 13 Trigonometric Functions

Right triangle trigonometry

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Day 11: Review and Homework

Chapter 9 Rational Expressions and Equations

• 9.1 Multiplying and Dividing Rational Expressions
  
• 9.2 Adding and Subtracting Rational Expressions
• 9.3 Graphing Rational Functions
• 9.4 Solving Rational Equations
  

Homework:

• pg 483 #' 41, 42
• pg 489 #'s 17, 19, 21, 23, 26, 29, 35
• pg 510-511 #'s 13-16 all, 20-27 all

NOTE: There will be an exam on Thursday.


Chapter 9 Rational Expressions and Equations

Rational expressions and equations

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Day 9: Review and Homework

NOTE: Tomorrow we will have a factoring test and ch 7 quiz/review

Chapter 7 Polynomial Functions:

Homework:

• 7.3 Solving Equations Using Quadratic Techniques- HW: pg 363 #'s 11-17, 25, 26, 27
  
• 7.7 Operations on Functions-Hw: pg 387 #'s 17, 19, 21, 31, 33
  
• 7.8 Inverse Functions and Relations-HW: pg 393 #'s 21, 24, 27, 30, 33, 35

Practice Questions for the quest.

7.3 Solving Equations Using Quadratic Techniques
7.7 Operations of Functions
7.8 Inverse Functions and Relations

What you'll learn...

• Write expressions in quadratic form.
• Use quadratic techniques to solve equations
  

7.3 quadratic techniques

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What you'll learn...

• Find the sum, difference, product, and quotient of functions
• Find the compositions of functions. F(g(x)) and G(f(x))
  

Alg 2 pg 394 Examples Sec 7-6 Function O

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Inverse functions

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Day 8: Homework and Review

Chapter 7 Polynomial Functions: Part 1

Homework:

• 7.1 Polynomial functions Hw: pg 350-351 #'s 16-21 all, 23, 27, 30, 31, 39-44 all.
  
• 7.2 Graphing Polynomial functions HW: pg 356 #'s 13, 15, 19, 23, 25
  

Examples of different polynomial graphs

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Turning points- where the graph of a function changes from increasing to decreasing or vice versa

Local maximum point – highest point or “peak” in an interval
function values at these points are called local maxima

Local minimum point – lowest point or “valley” in an interval
function values at these points are called local minima

Extrema – plural of extremum, includes all local maxima and local minima









video on finding max and min

Day 7: Homework and Review

NOTE:

1. Quiz on Wednesday over solving Quadratic Functions ( Graphing, Factoring, Completing the square, and Quadratic Formula.
2. Quiz on Thursday over ch 7 lessons
   
3. Test on Friday over factoring.
   

Homework

• 6.3 Solving Quadratic Equations by Factoring- Hw: pg 304's 23, 31, 35, 39
• 6.4 Solving Quadratic Equations by Completing the Square -Hw: pg 311 #'s 33, 35, 37
• 6.5 Quadratic Formula-HW: pg 318 #'s 15, 17, 19, 20