Shamokin Area Middle & High School
Dedicated To Excellence In Education
Gredzinski, George
Page Navigation
- Shamokin Area Middle & High School
- Pre-Calculus
-
MyMathLab Information:
Chapter R
Powerpoints: R.7, R.8
HW Assignment Covered in Class Problems R.7: RATIONAL EXPRESSIONS 1 - Reducing a Rational Expression to Lowest Terms
- Multiplying and Dividing Rational Expressions
- Adding and Subtracting Rational Expressions with Equal Denominators
- Adding Rational Expressions Whose Denominators are Additive Inverses of Each Other
- Adding and Subtracting Rational Expressions with Unequal Denominators
- Finding the Least Common Multiple
- Using the Least Common Multiple to Add Rational Expressions
- Using the Least Common Multiple to Subtract Rational Expressions
- Simplifying a Mixed Quotient
- Solving an Application in Electricity
Page 68:
#8,16,21,26,32,34,38,46,52,55,60,62,
65,70,74,75
Answers R.8: nth Roots; Rational Exponents 2 - Simplifying Principal nth Roots
- Simplifying Radicals
- Combining Like Radicals
- Rationalizing Denominators
- Writing Expressions Containing Fractional Exponents as Radicals
- Using Equation (4)
- Simplifying Expressions Containing Rational Exponents
- Writing an Expression as a Single Quotient
- Factoring an Expression Containing Rational Exponents
Page 75,
#1-4,8,12,15,16,
20,24,28,32,37,43,
44,45,47,55,60,62,
68,72,74,90Answers TEST ON R.7 & R.8
Chapter 1
Practice Worksheets: Ex. 1-3, 4-6, 7-8
Powerpoints: 1.4
HW Assignment Covered in Class Problems 1.4 RADICAL EQUATIONS; EQUATIONS IN QUADRATIC FORM; FACTORABLE EQUATIONS 1 - Solving Radical Equations
- raising both sides of an equation to a power
- extraneous solutions
- raisinb both sides of an equation to a power more than once
- Solving Equations that are Quadratic in Form
- "u" is a linear expression
- "u" is a quadratic expression
- "u" is a radical expression
- Solving Equations by Factoring
Page 123:
#12, 15, 24, 27,
30, 36, 46, 49,
55, 60, 64,
74, 81, 84
Answers Chapter 2
Practice Worksheets: 2.2: Examples 1-5, 6-7, 8-11, 12
Powerpoints: 2.2, 2.3
HW Assignment Covered in Class Problems 2.2 GRAPHS OF EQUATIONS 1 - Determining Whether a Point Is On the Line of an Equation
- Graphing Equations By Plotting Points
- Finding Intercepts From a Graph
- Finding Intercepts From an Equation
- Symmetry with Respect to:
a) the x-axis,
b) the y-axis,
c) the origin - y=1/x
Page 174,
#1-5, 12, 13, 15,
20, 21, 29, 32,
42, 45, 47, 57Answers 2 2.3 CIRCLES - Writing the Standard Form of the Equation of a Circle
- Graphing a Circle
- Finding the Intercepts of a Circle
- Graphing a Circle Whose Equation is in General Form
- Using a Graphing Utility to Graph a Circle
Page 179,
#1-6, 19, 22, 27, 30 ,38, 40, 41-44, 47, 50Answers Chapter 3
Practice Worksheets: 3.1, 3.2, 3.3, 3.4
Powerpoints: 3.1, 3.2, 3.3, 3.4
HW Assignment Covered in Class Problems 3.1 FUNCTIONS 1 - An Example of a Relation
- Determining Whether a Relation Represents a Function
- Example of a Function
- Finding Values of a Function
- Determining Whether an Equation is a Function
- Finding the Domain of a Function
- Finding the Domain in an Application
- Operations on Functions
Page 229,
#5-14, 16, 18, 25, 26, 32, 33, 35,
40, 44, 47, 51, 52, 56, 57,
62, 68, 88, 89, 93, 95, 98
Answers 2 3.2 THE GRAPH OF A FUNCTION - Idnentifying the Graph of a Function
- Obtaining Information from the Graph of a Function
- Obtaining Information about the Graph of a Function
- Applying Functions
Page 236,
#1-9, 16, 21, 27, 31
Answers 3 3.3 PROPERTIES OF FUNCTIONS - Determining Even and Odd Functions from the Graph
- Identifying Even and Odd Functions Algebraically
- Determining Where a Function is Increasing, Decreasing, or Constant from Its Graph
- Finding Local Maxima and Local Minima from the Graph of a Function
- Using a Graphing Utility to Approximate Local Maxima and Minima
- Finding the Average Rate of Change
- Finding the Average Rate of Change of a Function
Page 248,
#1-10, 22, 24, 27, 29,
31, 36, 40, 49, 52, 554 3.4 LIBRARY OF FUNCTIONS; PIECEWISE-DEFINED FUNCTIONS - Graphing the Cube Root Function
- Graphing the Absolute Value Function
- Library of Functions and Their Properties
- Analyzing and Graphing a Piecewise-Defined Function
- Applying Piecewise-Defined Functions
Page 258,
#1-16, 26, 32, 34, 37,49, 55
Answers
Chapter 4
Practice Worksheets: 4.3, 4.4
Powerpoints: 4.3, 4.4
HW Assignment Covered in Class Problems 4.3 RATIONAL FUNCTIONS I 1 - Finding the Domain of a Rational Function
- Graphing y=1/x^2
- Using Transfromations to Graph Rational Functions
- Finding Vertical Asymptotes
- Finding Horizontal Asymptotes
- Finding Oblique Asymptotes
Page 339,
#1-11, 16, 21, 30, 34, 38,
44, 48, 52, 56-58Answers 2 4.4 RATIONAL FUNCTIONS II - Graphing a Rational Function
- Constructing a Rational Function from a Graph
Page 353,
#7,13,25,33,34,47
CHAPTER 5
PRACTICE WORKSHEETS: 5.1, 5.2, 5.3, 5.4, 5.5, 5.6
HW
AssignmentCovered in Class Problems 1 5.1 COMPOSITE FUNCTIONS - Evaluating a Composite Function
- Finding a Composite Function
- Finding the Domain of a Composite Function
- Showing that Two Composite Functions are Equal
- Finding the Components of a Composite Function
Page 397,
#1-6, 11, 14, 22, 26,
33, 37, 52, 55Answers 2 5.2 INVERSE FUNCTIONS - Finding the Inverse of a Function
- Using the Horizontal-Line Test
- Verifying Inverse Functions
- Graphing the Inverse Function
- Finding the Inverse Function
- Finding the Range of a Function
- Finding the Inverse of a Domain-restriced Function
Page 409:
#1-8, 13, 16, 23, 24, 30, 32, 41, 49, 58
Answers 3 5.3 EXPONENTIAL FUNCTIONS - Laws of Exponents
- Exponential Functions
- Graphing an Exponential Function
- Transforming an Exponential Function
- The base e
- Solving an Exponential Equation
- Applying Exponential Functions
Page 423:
#1-10, 23, 27, 39, 43, 47,
51, 55, 60, 67, 69, 83, 88, 99Answers 4 5.4 LOGARITHMIC FUNCTIONS - Relating Logarithms to Exponents
- Rewriting Logarithmic Expressions to Exponential Expressions
- Rewriting Exponential Expressions to Logarithmic Expressions
- Findng the Exact Value of a Logarithmic Function
- Domain of a Logarithmic Function
- Graph of a Logarithmic Function
- Graphing Logarithmic Functions By Using Transformations
- Solving a Logarithmic Equation
- Using Logarithms to Solve Exponential Equations
Page 437,
#1-8, 10, 13, 14, 17, 18,
22, 23, 26, 34, 38, 42, 46,
48, 66, 76, 77, 84, 90, 92,
97, 101, 105, 1095 5.5 PROPERTIES OF LOGARITHMS - Establishing Properties of Logarithms
- Writing Expressions as a Single Logarithm
- Expanding Logarithms
- Change-of-Base Formula
Page 449,
#1-8, 10, 16, 20, 32, 33,
35, 42, 44, 45, 47, 51, 55,
59, 63, 66, 706 5.6 LOGARITHMIC AND EXPONENTIAL EQUATIONS - Solving a Logarithmic Equation
- Solving an Exponential Equation
Finish Practice WS
CHAPTER 6
PRACTICE WORKSHEETS: 6.1, 6.2, 6.3, 6.4, 6.5, 6.6, 6.7
HW
AssignmentCovered in Class Problems 1 6.1 ANGLES AND THEIR MEASURE - Drawing Angles
- Degrees, Minutes, Seconds
- Finding the Length of an Arc
- Degrees to Radians
- Radians to Degrees
- Finding the Area of a Sector
Page 503,
#15, 16, 20, 22, 25, 28,
30, 34, 37, 39, 44, 45,
49, 50, 52, 57, 58, 62, 64,
66, 68, 70, 72, 74, 76, 80,
82, 83, 95, 96, 117, 118Answers 2 6.2: RIGHT ANGLE TRIGONOMETRY - Finding the Value of Trigonometric Functions
- Fundamental Identities
- Complementary Angles; Cofunctions
Page 515,
#1-10, 18-20, 23, 24,
28, 31, 36-38, 40, 42,
44-54, 56TESTS/QUIZZES: