Warm-up
5.1 Notes
Modeling Data w/Quadratic Functions
Evaluate each function for x = -3 and x = 3 1) 2)
f ( x) = x 2
f ( x) = 12 x 3
3)
1 f ( x) = x 2 3
Quadratic Functions and Their Graphs
OBJECTIVES
Warm-up
5.2 Notes
Find the y-intercept of the graph of each function. 1) y = 3x + 3 2) 4x 3y = 12
Find the vertex of the graph of each function. Properties of Parabolas 3) y = | -2x | 4) y = | 3x +7 |
Objective
5.5 Notes (continued)
- To solve quadratic equations by graphing.
Quadratic Expressions
Solving by Graphing
Not every quadratic equation can be solved by factoring or taking the square root.
5.6 Notes
Objectives:
to identify and graph complex numbers to add, subtract, and multiply complex numbers.
Complex Numbers KEY TERMS: -imaginary number -complex numbers
Identifying Complex Numbers
In
Warm Up
1) Write the equation in standard form:
Objectives
To use the Quadratic formula to find the zeros of an equation. To understand the Discriminant of an equation. KEY TERMS The Quadratic Formu
STATION 1 Writing a Quadratic Model Standard Form *When you are given three points and told to write a quadratic model, youll have to use standard form unless you know that one of them is the vertex.
Lesson: Square Roots and Radicals Name_ Objectives: -review properties of square roots -simplify radical expressions Radical Symbol: 16 means the positive square root of 16. 16 means the negative squa
Obejctives Section 6.2
Zeros of polynomial functions Find the zeros (and their multiplicity) of a polynomial function Understand the relationship between zeros, roots, solutions, x-intercepts and fact
Objectives
Section 6.3 part 1
Polynomial long division
Divide polynomials Use polynomial division to determine if a linear expression is a factor of a given polynomial. Key Terms Divisor Dividend Quot
Hw #12 p311 17-31odd, 35 p 318 (1-4)
Free Throws! I have an idea
During 2nd semester, we will do a total of 30 free throws (maybe more) It will be worth 20 points in the test/quiz column Ill keep a ru
Objectives
Factor the sum and difference of cubes (and use this factoring to solve polynomial functions) polynomial Factor polynomials that are quadratic in form Solve Polynomial equations using a gra
Objectives
Understand the implications of the fundamental theorem of algebra Find ALL the roots to a given polynomial equation
Section 6.6
THE FUNDAMENTAL THEOREM OF ALGEBRA
Carl Friedrich Gauss
In 17
OUTLINE
Homework (and homework questions) Homework Ask any review questions you want Ask Review long division, solve by factoring and graphing calculators and BREAK 6.5 Notes (not on quiz) 6.5 Homewor
Algebra II Ch 6 Test Study Guide Answers are on my door AND online starting Friday
Name: _ Per: _
Classify the polynomial by degree and by number of terms. 1) y = x 5 x + 2 1) _ Write the polynomial f
Objectives
Section 6.8
Expanding Binomials & Pascals Triangle
Use Pascals Triangle to expand a binomial
Recall
( x 3) 2 IS NOT x2 9
Lets look for a pattern
(a + b) 2 = (a + b)(a + b) = a 2 + 2ab + b
Warm up
Section 6.1
Multiply
x(3 x 2 + 5)( x - 1)
( x - 2) 3
Polynomial Functions
Objectives
Classify polynomials by degree and by number of terms Write polynomials in standard form and factored form
Obejctives Section 6.2
Zeros of polynomial functions Polynomial Division Find the zeros (and their multiplicity) of a polynomial function Understand the relationship between zeros, roots, solutions, x
Objectives
Divide polynomials Use polynomial division to determine if a linear expression is a factor of a given polynomial. Key Terms Divisor Dividend Quotient Remainder
Review
Remember long division
Carl Friedrich Gauss
In 1799 Gauss proved that if you solve any polynomial equation, your roots are included in the complex numbers. This seems obvious, but the idea was so iimportant that we so mport
Algebra II Ch 6 Test Study Guide Answers are on my door AND online starting Friday
Name: _ Per: _
Classify the polynomial by degree and by number of terms. 1) y = x 5 x + 2 1) _ Write the polynomial f
Algebra II Ch 6 Test Study Guide Answers are on my door AND online starting Friday
Name: _ Per: _
Classify the polynomial by degree and by number of terms. 1) y = x 5 x + 2 1) _ Write the polynomial f
Objectives
Section 6.5
Rational Root Theorem!
Use the rational, irrational, and imaginary root theorems to locate all the roots of a all the given polynomial equation given
Rational Root Theorem
This
Algebra II 6.1 6.4 Quiz Show all work to receive Credit Form A
Name: _ Per: _
Write each polynomial in standard form. Then classify it by degree and by number of terms. 1) x( x 1) 3 2) (7 x 2) ( x 2 +
1.6 Notes: Probability Warm-up Write each number as a percent.
1)
3 8
2) 0.0043
3) 1
5 6
Objective: - to find experimental probabilities - to find theoretical probabilities Experimental Probability Th
Algebra II guided notes 7.1
Name: _
DIRECTIONS: Read pages 363-365 in your book and fill in this handout. When you are done, try the sample problems on the back. This will count as a class-work assign
Algebra II Chapter 1 test checklist 1) Be able to expressions involving absolute value a. - 4 + (-11) - 4 + (-11)
Name: _ b. - 20 - 22 5
2) Be able to simplify and combine like terms 1 a. - ( x - 2) -
Section 2-1 Relations and functions Warm up Evaluate each expression for x = 2, 1, and 0. 1)
- ( x - 2)
2)
2x2 + 1
Objectives: - Graph relations - Identify Domain and Range - Identify Functions Relati