Download Course Title: Algebra 2B Highly Qualified Teacher: Matt Goebel

Course Title: Algebra 2B
Highly Qualified Teacher: Matt Goebel, Chris McCallum
Advisor: Chris Burke, Matt Goebel, Josh Hansen, Molly Johnson, Karen MacDonald, Eric Magi,
Chris McCallum, Amanda St. Pierre, Nathan Ziegler
Dates of Class: 8/31/2015 – 6/15/2016
Credits: 0.50
Certificated Contact Method: In-person instructional contact
Class Description: Building on their work with linear, quadratic, and exponential functions,
students extend their repertoire of functions to include polynomial, rational, and trigonometric
functions. Students work closely with the expressions that define the functions, and continue to
expand and home their abilities to model situations and to solve equations, including solving
quadratic equations over the set of complex numbers and solving exponential equations using
logarithms.
Learning Materials:
 Aleks, Khan, Math XL
 Algebra 2. Holt McDougal. 2011
 Computer & Internet
Learning Goals:
Numbers, Expressions, and Operations:
A2.2.A explains how whole, integer, rational, real and complex numbers are related, and
identifies the number systems within which a given algebraic equation can be
solved
A2.2.B uses the laws of exponents to simplify and evaluate numeric and algebraic
expressions that contain rational exponents
A2.2.C Adds, subtracts, multiplies, divides and simplifies rational and more general
algebraic expressions
Quadratic Functions and Equations:
A2.3.A Translates between the standard form of a quadratic function, the vertex form,
and the factored form; graphs and interprets the meaning of each form
A2.3.B determines the number and nature of the roots of a quadratic function
A2.3.C solves quadratic equations and inequalities, including equations with complex
roots
Exponential and Logarithmic Functions and Equations:
A2.4.C solves exponential and logarithmic equations
A2.4.A Knows and uses basic properties of exponential and logarithmic functions and the
inverse relationship between them
A2.4.B Graphs and exponential function of the form f(x) = abx and its inverse logarithmic
Function.
Additional Functions and Equations:
A2.5.A Constructs new functions using the transformations f(x-h), f(x) + K, c (f(x)), and
by adding and subtracting functions and describes the effect on the original
graph(s)
A2.5.B Plots points, sketches, and describes the graphs of square root functions and
solves related equations
A2.5.C Plots points, sketches, and describes the graphs of inverse variation functions and
solves related equations
A2.5.D Plots points, sketches, and describes the graphs and cubic functions and solves
related Equations
Probability, Data, and Distributions:
A2.6.A applies the fundamental counting principle and the ideas of order and replacement
to calculate probabilities in situations arising from two-stage experiments
(compound events)
A2.6.B given a finite sample space consisting of equally-likely outcomes and containing
events A + B, determines whether A and B are independent, and finds the
conditional probability of A given B
A2.6.F Calculates and interprets measures of variability and standard deviation and uses
these measures and the characteristics of the normal distribution to describe and
compare data sets
A2.6.C Computes permutations and combinations and uses the results to calculate
probabilities
Additional Key Content
A2.7.A Solves systems of three equations with three variables
College Readiness Standard 7.2

7.2.a Find the sum, difference, or product of two polynomials, then simplify the result.

7.2.b Factor out the greatest common factor from polynomials of any degree.

7.2.c Factor quadratic polynomials with integer coefficients into a product of linear terms.

7.2.d Simplify quotients of polynomials given in factored form, or in a form which can be
factored.

7.2.e Add, subtract, multiply, and divide two rational expressions of the form, a/bx+ c,
where a, b, and c are real numbers and B is non-zero and of the form p(x)/q(x ),
where p(x) and q(x) are polynomials.
College Readiness Standard 7.3
7.3.f Use a variety of strategies to solve quadratic equations including those with
irrational solutions and recognize when solutions are non-real. Simplify complex
solutions and check algebraically. Solve quadratic equations by completing the
square and by taking roots.
College Readiness Standard 8.2
8.2.b Describe relationship between the algebraic features of a function and the features
of its graph and/or its tabular representation.
8.2.g Sketch the graph of a polynomial given the degree, zeros, max/min values, and /or
initial conditions.
College Readiness Standard 8.3
8.3.d Recognize and sketch, without the use of technology, the graphs of the following
families of functions: linear, quadratic, cubic quartic, exponential, logarithmic,
square root, cube root, absolute value, &rational functions of the type f(x)=1/(x-a).
8.3.e Understand the relationship between the degree of a polynomial and the number of
roots; interpret the multiplicity of roots graphically.
College Readiness Standard 8.4
8.4 Model situations and relationships using a variety of basic functions (linear, quadratic,
logarithmic, exponential, and reciprocal) and piecewise-defined functions.
Performance Objectives:
Student will:
 Extend their understanding of number systems and solutions to equations to include the
entire complex number system.
 Understand non-real roots to quadratic equations.
 Make use of the vertex form of quadratic equations.
 Understand inverse functions through the application of logarithms.
 Use these functions to algebraically and graphically model and solve practical problems.
 Use transformations to construct and graph new functions.
 Apply counting principles to calculate probabilities.
 Calculate and interpret measures of variability among data sets.
Learning Activities:
Unit 3: Exponents & Polynomial Expressions, Quadratic & Polynomial Functions




9 Weeks
Complete 25% of all topics
Complete ALL Unit 1 Worksheets
Complete ALL Unit 1 Assessments
Complete Unit 1 Notebook Review
Unit 4: Radicals and Advanced Functions, Exponential and Logarithmic Functions, Rational
Expressions, Conic Sections, Sequences of Probability
9 Weeks




Complete 25% of all topics
Complete ALL Unit 1 Worksheets
Complete ALL Unit 1 Assessments
Complete Unit 1 Notebook Review
Progress Criteria/Methods of Evaluation:
Units are arranged so that students work through the math program to master the ‘I can’
statements for each target. Once they have gained the skill they will then complete activities for
each target that requires them to apply their skills to real – world problems. The unit is then
completed with an assessment of both skills and application problems.
• Work in ALEKS/Khan/Math XL/Holt
• Quizzes through ALEKS/Khan/Math XL/Holt
• Activity completion
• Unit Assessment
By completing Progress assessments and summative assessments, students will show evidence
of understanding of the learning goals.
CEDARS Codes: 02056 Algebra II 02056 (9-12)
District Code: 3353A