Download A2 Unit 2 Chapter 2 Assignment Sheet Pt 2 Re-Do

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Transcript
Algebra II: Assignment Sheet
Unit 2: Quadratic Functions and Equations
Chapter 2: Quadratic Functions
Date
Monday
10-31
&
Tuesday
11-01
Lesson
Lesson 2-7
Solving Quadratic
Inequalities
Classwork
Homework
Pgs. 114 –
 SmartBoard
115:
Notes
 TI-NSpire steps # 2 – 10 & 12
– 32 (Even)
 Practice
Problems
Lesson 2-8
Curve Fitting with
Quadratic Models
Pgs. 121 –
 SmartBoard
122:
Notes
# 2 – 18
 TI-NSpire steps
(Even)
 Practice
Problems
Lesson 2-9
Operations with
Complex Numbers
Pgs. 130-131:
 SmartBoard
#2 – 74
Notes
(Even)
 TI-NSpire steps
 Practice
Problems
Thursday
11-10
Test Review:
Lesson 2-7 to 2-9
 TI-NSpire steps Pgs. 138-139:
#64 – 95
 Practice
(All)
Problems
Friday
11-11
Assessment of
Transformations,
Properties and
Methods of Solving
Quadratics
Wednesday
11-02
&
Thursday
11-03
&
Friday
11-04
Monday
11-07
&
Wednesday
11-09
Score
 Free Response
Test on Lesson
2-7 to 2-9
Enjoy your
weekend 
Algebra II: Assignment Sheet
Unit 2: Quadratic Functions and Equations
Chapter 2: Quadratic Functions
Standards:
 A2.ACE.1* Create and solve equations and inequalities in one variable that model real-world
problems involving linear, quadratic, simple rational, and exponential relationships. Interpret the
solutions and determine whether they are reasonable.
 A2.ACE.2* Create equations in two or more variables to represent relationships between
quantities. Graph the equations on coordinate axes using appropriate labels, units, and scales.
 A2.AREI.4* Solve mathematical and real-world problems involving quadratic equations in one
variable.
b. Solve quadratic equations by inspection, taking square roots, completing the square, the
quadratic formula and factoring, as appropriate to the initial form
of the equation. Recognize when the quadratic formula gives complex solutions and write them
as
for real numbers a and b. (Note: A2.AREI.4b is not a Graduation Standard.)
 A2.AREI.7 Solve a simple system consisting of a linear equation and a quadratic equation in two
variables algebraically and graphically. Understand that such systems may have zero, one, two, or
infinitely many solutions. (Limit to linear equations and quadratic functions.)
 A2.AREI.11* Solve an equation of the form
graphically by identifying the xcoordinate(s) of the point(s) of intersection of the graphs of
and
 A2.ASE.3* Choose and produce an equivalent form of an expression to reveal and explain
properties of the quantity represented by the expression. (Note: A2.ASE.3b and 3c are not
Graduation Standards.)
b. Determine the maximum or minimum value of a quadratic function by completing the square.
c. Use the properties of exponents to transform expressions for exponential functions.
 A2.FBF.3* Describe the effect of the transformations
, and combinations of
such transformations on the graph of
for any real number k. Find the value of k given the
graphs and write the equation of a transformed parent function given its graph.
 A2.FIF.4* Interpret key features of a function that models the relationship between two quantities
when given in graphical or tabular form. Sketch the graph of a function from a verbal description
showing key features. Key features include intercepts; intervals where the function is increasing,
decreasing, constant, positive, or negative; relative maximums and minimums; symmetries; end
behavior and periodicity.
 A2.FIF.5* Relate the domain and range of a function to its graph and, where applicable, to the
quantitative relationship it describes.
 A2.FIF.8* Translate between different but equivalent forms of a function equation to reveal and
explain different properties of the function. (Note: A2.FIF.8b is not a Graduation Standard.)
b. Interpret expressions for exponential functions by using the properties of exponents.
 A2.FIF.9* Compare properties of two functions given in different representations such as
algebraic, graphical, tabular, or verbal.
 A2.NCNS.1* Know there is a complex number such that
, and every complex number
has the form
with a and b real.
 A2.NCNS.7* Solve quadratic equations in one variable that have complex solutions.
Objectives:
1. The equation of a quadratic function is determined by the key features of the function.
2. Quadratic functions and their graphs describe and model the relationship between two quantities.
3. Quadratic functions model the trajectory of objects in flight.
Essential Questions:
1. How do quadratic functions describe a relationship between two quantities?
2. How does the equation of a quadratic function affect the shape of the graph?
Vocabulary:
 Complex conjugate
 Discriminant
 Vertex
 Maximum
 Minimum
 Axes of symmetry
 Zeros/x-intercepts
 Roots/solutions
 Imaginary numbers
 Complex numbers
 Rational
 Irrational
 Quadratic formula
 Completing the square
 Rationalize
 Parabola
 Difference of Squares
 Perfect Square Trinomial