BIG IDEAS of this Unit: Enduring Understanding

The solutions of a polynomial equation are the zeros/roots of its related function!
DATE
10/12
TEXT
& SOL
5.1, 0.2-
0.3
AII.1d
AII.7,8,
9
OBJECTIVES
Modeling with Quadratics:
 Quadratic Regression, roots/zeros
Is there a correlation between
MOSQUITOES vs RAINFALL?
HOMEWORK
 IXL: J.1, J.2 (smart score 70)
10/14
10/16
5.2, 5.3
AII.6
5.3
AII.6
 Graphing quadratic functions in vertex form
 Recall factoring quadratics from A1
 Factoring Quadratics: to include grouping
 WS parabolas II
 IXL: I.1-I.3 (smart score of 70)
 IXL: I.1-I.5 (smart score of 70)
10/20
10/22
10/26
10/28
5.2
AII.6
5.3
AII.4b
5.4, 7.5
Alg 1
AII.3
5.5
AII.4b
 Equivalent Quadratic Forms: general/standard, vertex/graphic, factored
 Graphing parabolas from its parent function using transformations
Solving quadratic equations by:
 factoring
 graphing recall simplifying square roots (p. 439)
 Complex Numbers
 Recall field properties of numbers with complex numbers
 Completing the Square
 Solving Quadratics using the
Square Root Property “UNDO”
 WS Parabolas III
 IXL: J.7 and J.8
 WS Simplifying radicals
 P. 280-281/19-41 odd, 49-59 odd, 61
 P. 290-291/15-48 multiples of
3, 53, 58, 69, 70, 80, 82
10/30
11/4
11/10
11/13
11/17
11/19
5.6
AII.4b
5.7
AII.6
10.7
AII.5


The quadratic formula
Using the discriminant to predict the nature of the roots
 P. 300-301/15-43 odd






How are we doing so far?
MID-QUIZ Today!
Quadratic Functions
Writing quadratic equations
Finding maximum & minimum values
Solving Non-linear Systems
Algebraically

 Review
 Quadratic Applications: Maximum & minimum values
 Unit 2B Test
 IXL
 P. 308-309/9-19 odd, 26, 27,
29, 35-39 odd, 52
 WS Who am I?

WS non-linear systems
 Review Sheet
 Make a note card of the
Properties of Exponents on page 333
 P. 337/1-14
Need More? IXL
Factoring!!
I.1-I.3 (A2)
Graphing: T.2
(vertex) T.4 (axis of symmetry
Factor patterns:I.4
Grouping: I, 5
Graphing: J.4, J.5
Solve by Factoring:
J.7, J.8
Complex
Numbers:
H.1-H.8
Solve by: Square
Rooting: J.6
Completing the
Sq: J.9, J.10
Quad Formula:
J.11
Discriminant:
J.12
Writing Quadratic
Equations; J.3
Solve non-linear systems: E.15
Polynomials:
K.1-3
Exponents:
V.2-8


What is the BEST method to use for solving a quadratic?
 What can factoring tell you about a quadratic: expression, equation, function

Describe what the discriminant can tell you about a quadratic function?
?
Know & Apply …

The relationship between the shape of a graph, its degree and end behavior.

The appropriate use of each of the different forms of a quadratic function (intercept, standard, vertex.)

The definitions of: polynomial, constant, zero, root, determinant, prime polynomial, complex number, pure imaginary number, degree, maximum, & minimum.

Factoring by grouping.

The relationship between the solutions of an equation, zeros of a function, roots of a function,
x-intercepts of a graph, and factors of a quadratic
equation.
NEW CONCEPTS & SKILLS FOR THIS UNIT be able to…

Find and use the discriminant to predict the nature of the roots of a quadratic equation or function.

Sketch the graphs of polynomial functions using x-intercepts and end behavior.

Find the zeros of a function and describe their real-world meaning.

Solve quadratic equations over the set of complex numbers by the BEST method: (factoring,
completing the square, quadratic formula, undo)

Simplify expression containing complex numbers.

Factor quadratic expressions.

Find the vertex i.e. the maximum or minimum of any quadratic function.
PRESKILLS FOR THIS U NIT … w/o the calculator
Know & Apply …

Factor a quadratic polynomial completely.

Greatest Common Factor

Know when you have a prime polynomial

Factoring Patterns: difference of squares, trinomial be able to…

Factor a polynomial expression completely!!!!

Solve a quadratic equation using the zero product square

The quadratic formula property and/or the quadratic formula

State the domain and range of a function using interval notation, and describe its real-world meaning.

Simplify a radical (square root only)

Add, subtract, multiply and divide radicals

Rationalize the denominator of a radical expression.