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Algebra 2 CP – Curriculum Pacing Guide – 2012-2013
Anderson School District Five Page 1 Copyrigth © July 1, 2012
SOUTH CAROLINA ACADEMIC STANDARDS FOR MATHEMATICS
The mathematical processes provide the framework for teaching, learning, and assessing in all high school mathematics core courses. Instructional programs should be built around these processes.
Standard IA-1: The student will understand and utilize the mathematical processes of problem solving, reasoning and proof, communication, connections, and representation.
Indicators
IA-1.1 Communicate a knowledge of algebraic relationships by using mathematical terminology appropriately.
IA-1.2 Connect algebra with other branches of mathematics.
IA-1.3 Apply algebraic methods to solve problems in real-world contexts.
IA-1.4 Judge the reasonableness of mathematical solutions.
IA-1.5 Demonstrate an understanding of algebraic relationships by using a variety of representations (including verbal, graphic, numerical, and symbolic).
IA-1.6 Understand how algebraic relationships can be represented in concrete models, pictorial models, and diagrams.
IA-1.7 Understand how to represent algebraic relationships by using tools such as handheld computing devices, spreadsheets, and computer algebra systems (CASs).
COMMON CORE STATE STANDARDS FOR MATHEMATICS
Indicators
A-SSE.1 Interpret expressions that represent a quantity in terms of its context.
A-CED.2 Create equations in two or more variables to represent relationships between quantities; graph equations on coordinate axes with labels and scales.
A-CED.4 Rearrange formulas to highlight a quantity of interest, using the same reasoning as in solving equations.
F-IF.6 Calculate and interpret the average rate of change of a function (presented symbolically or as a table) over a specified interval. Estimate the rate of change from a graph.
Algebra 2 CP – Curriculum Pacing Guide – 2012-2013
Anderson School District Five Page 2 Copyrigth © July 1, 2012
Algebra 2 CP – Curriculum Pacing Guide – 2012-2013 First Nine Weeks
Anderson School District Five Page 3 Copyrigth © July 1, 2012
Unit 1 – Numbers and Functions
Indicator Objective Activities Resources Days
EA-2.5
Carry out a procedure using the properties of real numbers (including commutative,
associative, and distributive) to simplify expressions.
Identify and use properties of
real numbers.
PowerPoint – Day 1 Critical Thinking
1
EA-2.6
Carry out a procedure to evaluate an
expression by substituting a value for the variable.
Evaluate expressions using
order of operations.
Algebraic & Numeric Expressions
EA-2.1
Exemplify elements of the real number
system (including integers, rational numbers, and irrational numbers).
Classify numbers in the real number system.
EA-3.4, EA-5.10
Analyze the graph of a continuous function to determine the domain and range of the
function. Analyze given information to determine the
domain and range of a linear function in a problem situation.
Find the domain, range, and
inverse of a relation by using ordered pairs, tables,
mapping, and graphs.
Worksheet – Introduction to Functions
EA-3.1 Classify a relationship as being either a function or not a function when given data
as a table, set of ordered pairs, or graph.
Determine whether a relation and its inverse is a function.
EA-3.2
EA-3.3
Use function notation to represent functional
relationships.
Carry out a procedure to evaluate a function
for a given element in the domain.
Write a function in function
notation and evaluate it.
PowerPoint – Day 2 Function Notation
Evaluating Functions
2
IA-2.5 Carry out procedures to perform operations on polynomial functions (including f(x) +
g(x), f(x) – g(x), f(x) • g(x), and f(x)/g(x)).
Perform operations with
functions by evaluating
Worksheet – Operations with Functions
Algebra 2 CP – Curriculum Pacing Guide – 2012-2013 First Nine Weeks
Anderson School District Five Page 4 Copyrigth © July 1, 2012
Indicator Objective Activities Resources Days
IA-2.6 A Apply a procedure to write the equation of a composition of given functions.
Find the composition of two functions by evaluating.
Worksheet – Compositions of Functions 2 cont’d
SC IA-2.7
SC IA-2.8
A
CCSS
F-BF.3
Carry out a procedure to graph translations of parent functions.. including
Carry out a procedure to graph
transformations of parent functions
(including xyxyxy and,, 2).
Identify the effect on the graph of replacing f(x) + k, k f(x), f(kx), and f(x + k) for specific
values of k (both positive and negative); find
the value of k given the graphs. Experiment with cases and illustrate an explanation of
the effects on the graph using technology. Include recognizing even and odd functions
from their graphs and algebraic expressions
for them.
Given the graph of a function,
perform transformations.
PowerPoint – Day 3 Transformations
3
Review Review – Chapter 1 Study Guide
Review for Test on Unit 1
Test Test A
Test B 4
xyxyxyxyxy
1,,,, 2
Algebra 2 CP – Curriculum Pacing Guide – 2012-2013 First Nine Weeks
Anderson School District Five Page 5 Copyrigth © July 1, 2012
Unit 2 – Linear Functions
Indicator Objective Activities Resources Days
EA-5.7
CCSS
F-IF.6
Apply the concept of slope as a rate of change to solve problems.
Calculate and interpret the average rate of
change of a function (presented symbolically
or as a table) over a specified interval. Estimate the rate of change from a graph.
Identify linear functions as having a constant rate of
change within ordered pairs, tables, and mappings using
real world data.
4 cont’d
Find and analyze the slope of a linear function.
Determine the slope, graph,
and equations of horizontal and vertical lines.
5 EA-5.5
Carry out a procedure to determine the x-
intercept and y-intercept of lines from data given tabularly, graphically, symbolically,
and verbally.
Use x- and y-intercepts to graph linear functions.
EA-5.1 Carry out a procedure to graph a line when
given the equation of the line.
Use slope intercept form to
graph linear functions.
Review Linear Equations
EA-4.6 Represent linear equations in multiple forms (including point-slope, slope-intercept, and
standard).
Using a graph, write the equation in slope intercept
form.
6
SC IA-2.7,
SC IA-2.8
A
CCSS F-BF.3
Carry out a procedure to graph translations of parent functions.. including
Carry out a procedure to graph
transformations of parent functions
(including xyxyxy and,, 2).
Identify the effect on the graph of replacing f(x) + k, k f(x), f(kx), and f(x + k) for specific
values of k (both positive and negative); find
the value of k given the graphs. Experiment with cases and illustrate an explanation of
the effects on the graph using technology. Include recognizing even and odd functions
Graph linear functions using
the graphing calculator and transformations.
Worksheet – Modeling Linear Equations
xyxyxyxyxy
1,,,, 2
Algebra 2 CP – Curriculum Pacing Guide – 2012-2013 First Nine Weeks
Anderson School District Five Page 6 Copyrigth © July 1, 2012
Indicator Objective Activities Resources Days
from their graphs and algebraic expressions
for them.
EA-3.4 Analyze the graph of a continuous function to determine the domain and range of the
function.
Find the domain and range (using interval notation) of a
linear function.
7 EA-2.5
Carry out a procedure using the properties of real numbers (including commutative,
associative, and distributive) to simplify expressions.
Perform operations on linear
functions.
Operations with Linear Functions
Function Operations
Compositions & Inverses
Function Inverses
EA-4.7 Carry out procedures to solve linear
equations for one variable algebraically.
Solve linear equations and functions both algebraically
and graphically.
Solving Multi-Step Equations
Solving Linear Functions
SC IA-2.7,
SC IA-2.8
A
CCSS F-BF.3
Carry out a procedure to graph translations of parent functions.. including
Carry out a procedure to graph
transformations of parent functions
(including xyxyxy and,, 2).
Identify the effect on the graph of replacing f(x) + k, k f(x), f(kx), and f(x + k) for specific
values of k (both positive and negative); find
the value of k given the graphs. Experiment with cases and illustrate an explanation of
the effects on the graph using technology. Include recognizing even and odd functions
from their graphs and algebraic expressions
for them.
Write the equation of a line when given a point and a
slope, two points, or a graph.
Worksheet – Finding the Slope and Writing the
Equation of a Line
8
EA-5.8
Analyze the equations of two lines to
determine whether the lines are perpendicular or parallel.
Write the equation of a line
that is parallel or perpendicular to a given line.
Writing Equations of Lines
9
EA-4.8
Carry out procedures to solve linear
inequalities for one variable algebraically and then to graph the solution.
Write, solve, and graph one
and two variable linear inequalities.
Graphing Linear Inequalities
Solving Inequalities
xyxyxyxyxy
1,,,, 2
Algebra 2 CP – Curriculum Pacing Guide – 2012-2013 First Nine Weeks
Anderson School District Five Page 7 Copyrigth © July 1, 2012
Indicator Objective Activities Resources Days
Review Review Study Guide
Review Worksheet for Test 9 cont’d
Test 10
Algebra 2 CP – Curriculum Pacing Guide – 2012-2013 First Nine Weeks
Anderson School District Five Page 8 Copyrigth © July 1, 2012
Unit 3 – System of Linear Equation
Indicator Objective Activities Resources Days
SC IA-2.2
CCSS
A-CED.3
Carry out a procedure to solve a system of
linear inequalities graphically.
Represent constraints by equations or
inequalities, and by systems of equations and/or inequalities, and interpret solutions
as viable or non-viable options in a modeling context.
Identify a system as
consistent, inconsistent, dependent, or independent.
11
Solve a system of linear
equations by graphing.
Worksheet – Solve by Graphing
SC IA-2.1
CCSS A-CED.3
Carry out a procedure to solve a system of
linear inequalities algebraically.
Represent constraints by equations or inequalities, and by systems of equations
and/or inequalities, and interpret solutions
as viable or non-viable options in a modeling context.
Solve a system of linear
equations by substitution.
Systems of Two Equations
12 Solve a system of linear equations by elimination.
Worksheet – Mixed Practice on Solving Systems
Worksheet – Elimination and Substitution
Solve a system of linear equations (both two and
three variable) using matrices.
Systems of Three Equations Elimination
Systems of Three Equations Substitution 13
SC IA-2.3
CCSS A-CED.3
Analyze a problem situation to determine a
system of linear inequalities that models the problem situation.
Represent constraints by equations or
inequalities, and by systems of equations
and/or inequalities, and interpret solutions as viable or non-viable options in a modeling
context.
Solve real-world problems
using systems of equations.
Systems of Equations Word Problems
14
Algebra 2 CP – Curriculum Pacing Guide – 2012-2013 First Nine Weeks
Anderson School District Five Page 9 Copyrigth © July 1, 2012
Unit 3 – System of Linear Equation continued
Indicator Objective Activities Resources Days
SC IA-2.2
SC IA-2.4
CCSS A-CED.3
Carry out a procedure to solve a system of
linear inequalities graphically.
Use linear programming to solve contextual
problems involving a system of linear inequalities.
Represent constraints by equations or
inequalities, and by systems of equations and/or inequalities, and interpret solutions
as viable or non-viable options in a modeling
context.
Graph a system of linear
inequalities.
Worksheet – Systems of Inequalities
Systems of Inequalities
15
SC IA-2.3
CCSS A-CED.3
Analyze a problem situation to determine a
system of linear inequalities that models the
problem situation.
Represent constraints by equations or inequalities, and by systems of equations
and/or inequalities, and interpret solutions
as viable or non-viable options in a modeling context.
Write and graph a set of
constraints for a linear programming problem.
Worksheet – Linear Programming (a)
16
SC IA-2.4
CCSS
A-CED.3
Use linear programming to solve contextual problems involving a system of linear
inequalities.
Represent constraints by equations or
inequalities, and by systems of equations and/or inequalities, and interpret solutions
as viable or non-viable options in a modeling
context.
Use linear programming to
find the maximum or minimum value of an
objective function.
Worksheet – Linear Programming (b)
Worksheet – Linear Programming (c)
17-18
Review Project – Rescue to Princess
Review for the Test
Test 19
Algebra 2 CP – Curriculum Pacing Guide – 2012-2013 First Nine Weeks
Anderson School District Five Page 10 Copyrigth © July 1, 2012
Indicator Objective Activities Resources Days
Review for Nine Weeks Test 20-21
First Nine Weeks Test Exam Review Materials 22
Algebra 2 CP – Curriculum Pacing Guide – 2012-2013 Second Nine Weeks
Anderson School District Five Page 11 Copyrigth © July 1, 2012
Unit 4 – Radical Functions
Indicator Objective Activities Resources Days
EA-2.2 Apply the laws of exponents and roots to
solve problems.
Use all properties of exponents to multiply and
divide monomials.
Worksheet – Properties of Exponents
23
IA-4.7
Carry out a procedure to perform operations with expressions involving rational
exponents (including addition, subtraction, multiplication, division, and exponentiation).
Write and simplify expressions with rational
exponents in radical form and vice versa.
24 IA-4.5,
IA-4.7
Carry out a procedure to simplify algebraic
expressions involving rational exponents. Carry out a procedure to perform operations
with expressions involving rational
exponents (including addition, subtraction, multiplication, division, and exponentiation).
Simplify expressions
containing rational exponents.
Worksheet – Simplifying Rational Exponents
SC IA-4.9
CCSS A-REI.2
Carry out a procedure to solve radical equations algebraically.
Solve simple rational and radical equations
in one variable, and give examples showing how extraneous solutions may arise.
Simplify a radical.
More on Simplifying Radicals
Simplify Radical Expression
Add, Subtract, and multiply radicals.
25-26
Divide radicals and rationalize the denominator.
More on Operations with Radicals
Algebra 2 CP – Curriculum Pacing Guide – 2012-2013 Second Nine Weeks
Anderson School District Five Page 12 Copyrigth © July 1, 2012
Indicator Objective Activities Resources Days
SC IA-2.7
SC IA-2.8
B
CCSS F-BF.3
Carry out a procedure to graph translations
of parent functions.. including
Carry out a procedure to graph
transformations of parent functions
(including xyxyxy and,, 2).
Identify the effect on the graph of replacing f(x) + k, k f(x), f(kx), and f(x + k) for specific
values of k (both positive and negative); find
the value of k given the graphs. Experiment with cases and illustrate an explanation of
the effects on the graph using technology.
Include recognizing even and odd functions from their graphs and algebraic expressions
for them.
Graph radical functions using transformations.
Worksheet – Graphing Radical Transformations
26 cont’d
SC IA-4.9
CCSS
A-REI.2
Carry out a procedure to solve radical equations algebraically.
Solve simple rational and radical equations in one variable, and give examples showing
how extraneous solutions may arise.
Determine the domain and range (using interval
notation) of a radical function given the graph.
Solve radical equations, verify
solutions, and determine the domain restrictions.
Worksheet – Solving Radical Equations
27
Review
Jeopardy Review
Review – Chapter 7 Study Guide
Review for Test
28
Test 29
xyxyxyxyxy
1,,,, 2
Algebra 2 CP – Curriculum Pacing Guide – 2012-2013 Second Nine Weeks
Anderson School District Five Page 13 Copyrigth © July 1, 2012
Unit 5 – Quadratic Functions
Indicator Objective Activities Resources Days
Define quadratic functions.
30
SC IA-3.5 B
CCSS
A-CED.1
CCSS A-CED.2
CCSS A-CED.3
CCSS
A-CED.4
Analyze given information (including quadratic models) to solve contextual
problems.
Create equations and inequalities in one
variable and use them to solve problems.
Create equations in two or more variables to represent relationships between quantities;
graph equations on coordinate axes with
labels and scales.
Represent constraints by equations or inequalities, and by systems of equations
and/or inequalities, and interpret solutions
as viable or non-viable options in a modeling context.
Rearrange formulas to highlight a quantity
of interest, using the same reasoning as in
solving equations.
Graph quadratic functions using a graphing calculator
and identify important
features including the maximum/minimum, the
zeros, and the intervals where the function is
increasing/decreasing.
Worksheet – Introduction to Quadratics
Properties of Parabolas
Worksheet – Word Problems and Solving with
the Calculator
Determine the domain and
range (using interval notation) for quadratic
functions.
IA-3.3
Carry out a procedure to solve quadratic
equations algebraically (including factoring, completing the square, and applying the
quadratic formula).
Factor quadratic expressions.
Factoring Quadratic Form
Factoring Quadratic Expressions
Factoring by Grouping
Factoring a Sum & Difference of Cubes
Factoring All Techniques
Worksheet – Mixed Factoring Practice
Worksheet – Perfect Squares and Cubes and
Graphing
Wkst – Factoring Trinomials
31-32
Solve quadratic functions by factoring.
Worksheet – Solve by Factoring
Worksheet – Factoring and Solve by Factoring
Quadratic Equations by Factoring
33
Algebra 2 CP – Curriculum Pacing Guide – 2012-2013 Second Nine Weeks
Anderson School District Five Page 14 Copyrigth © July 1, 2012
Indicator Objective Activities Resources Days
Second Nine Weeks Test (if test is given before Christmas break) Review for Test A
Review for Test
Algebra 2 CP – Curriculum Pacing Guide – 2012-2013 Second Nine Weeks
Anderson School District Five Page 15 Copyrigth © July 1, 2012
Unit 5 – Quadratic Functions continued
Indicator Objective Activities Resources Days
SC IA-2.7
SC IA2.8 B
CCSS
F-BF.3
Carry out a procedure to graph translations
of parent functions.. including
Carry out a procedure to graph transformations of parent functions
(including xyxyxy and,, 2).
Identify the effect on the graph of replacing f(x) + k, k f(x), f(kx), and f(x + k) for specific
values of k (both positive and negative); find
the value of k given the graphs. Experiment
with cases and illustrate an explanation of the effects on the graph using technology.
Include recognizing even and odd functions from their graphs and algebraic expressions
for them.
Complete the square to write
a quadratic function in vertex
form.
Completing the Square
Worksheet – Write in Vertex Form and Graph
Worksheet – Complete the Square to Find the
Vertex
Worksheet – More on Completing the Square to
Find the Vertex Worksheet – Write in Vertex Form and Graph
34 Graph quadratic functions
using vertex form.
Determine the domain and
range (using interval
notation) for quadratic functions (with graphs).
SC IA-3.1
CCSS N-CN.1
Carry out a procedure to simplify expressions involving powers of i. Know there is a complex number i such that
i2 = -1, and every complex number has the
form a + bi with a and b real.
Define and simplify complex
numbers.
35
SC IA-3.2
CCSS
N-CN.2
Carry out a procedure to perform operations
with complex numbers (including addition, subtraction, multiplication, and division).
Use the relation i2 = -1 and the
commutative, associative, and distributive properties to add, subtract, and multiply
complex numbers.
Perform operations using
complex numbers.
Worksheet – Complex Numbers
Operations with Complex Numbers
Properties of Complex Numbers
Rationalizing Imaginary Denominators 36
xyxyxyxyxy
1,,,, 2
Algebra 2 CP – Curriculum Pacing Guide – 2012-2013 Second Nine Weeks
Anderson School District Five Page 16 Copyrigth © July 1, 2012
Indicator Objective Activities Resources Days
IA-3.3
Carry out a procedure to solve quadratic
equations algebraically (including factoring, completing the square, and applying the
quadratic formula).
Solve quadratic functions by
completing the square and using the square root
method.
Worksheet – Complete the Square to Solve
Quadratics
Worksheet – Complete the Square to Find Vertex
and Solve
Quadratic Equations by Completing the Square
Quadratic Equations Square Roots
37
SC IA-3.3
CCSS
N-CN.7
Carry out a procedure to solve quadratic equations algebraically (including factoring,
completing the square, and applying the quadratic formula).
Solve quadratic equations with real coefficients that have complex solutions.
Solve quadratic functions
using the quadratic formula.
Worksheet – Solve Using Quadratic Formula
Quadratic Formula
38
IA-3.4 Use the discriminant to determine the number and type of solutions of a quadratic
equation.
Use the discriminant to determine the nature of the
solutions.
Activity – Lab for Nature of Roots
The Discriminant
IA-3.6 Carry out a procedure to write an equation
of a quadratic function when given its roots.
Write the equation of a quadratic function when
given its roots.
Worksheet – Finding Eq from Roots
Factors and Zeros 39
Review
Chutes and Ladders Review for Quadratics
Jeopardy Review
Review Part B
40
Test 41
Review 42-44
Midterm Exam (if test is given after Christmas break) Exam Review Materials 45
Algebra 2 CP – Curriculum Pacing Guide – 2012-2013 Second Nine Weeks
Anderson School District Five Page 17 Copyrigth © July 1, 2012
Algebra 2 CP – Curriculum Pacing Guide – 2012-2013 Third Nine Weeks
Anderson School District Five Page 18 Copyrigth © July 1, 2012
Unit 6 – Polynomial Functions
Indicator Objective Activities Resources Days
Carry out a procedure to classify polynomials by their degree and number of
terms.
Classify polynomials Polynomial Basics
46 SC IA-4.1
CCSS A-APR.1
CCSS
A-APR.6
Carry out a procedure to perform operations (including multiplication, exponentiation,
and division) with polynomial expressions.
Understand that polynomials form a system analogous to the integers, namely they are
closed under the operations of addition,
subtraction, and multiplication; add, subtract, and multiply polynomials.
Rewrite simple rational expressions in different forms; write a(x)/b(x) in the form
q(x) + r(x)/b(x), where a(x), b(x), q(x), and
r(x) are polynomials with the degree of r(x)
less than the degree of b(x), using
inspection, long division, or, for the more complicated examples, a computer algebra
system.
Add, subtract, and multiply
polynomial functions.
Divide polynomial functions
using long division.
47
Divide polynomial functions
using synthetic division.
SC IA-4.2
CCSS
A-APR.3
CCSS F-IF.7
Carry out a procedure to determine specified points (including zeros, maximums, and
minimums) of polynomial functions.
Identify zeros of polynomials when suitable
factorizations are available, and use the zeros to construct a rough graph of the
function defined by the polynomial.
Graph functions expressed symbolically and
show key features of the graph, by hand in simple cases and using technology for more
complicated cases.
Describe the shapes of their
graphs
48
Algebra 2 CP – Curriculum Pacing Guide – 2012-2013 Third Nine Weeks
Anderson School District Five Page 19 Copyrigth © July 1, 2012
Indicator Objective Activities Resources Days
SC IA-4.2
CCSS
F-IF.4
SC IA-4.4
C
Carry out a procedure to determine specified
points (including zeros, maximums, and
minimums) of polynomial functions.
For a function that models a relationship between two quantities, interpret key
features of graphs and tables in terms of
quantities, and sketch graphs showing key features given a verbal description of the
relationship.
Analyze given information (including polynomial models) to solve contextual
problems.
Identify and describe
important features of the graph of a polynomial
function including absolute and relative
maximum/minimum points,
intervals where the function is increasing/decreasing, zeros
(including the multiplicity of each), domain and range (in
interval notation), and end behavior.
Graphing Polynomial Functions Basic Shape
Graphing Polynomial Functions
48 cont’d
SC IA-4.3
CCSS
A-SSE.2
CCSS F-1F.7
Carry out a procedure to solve polynomial equations (including factoring by grouping,
factoring the difference between two
squares, factoring the sum of two cubes, and factoring the difference between two cubes).
Use the structure of an expression to
identify ways to rewrite it.
Graph functions expressed symbolically and show key features of the graph, by hand in
simple cases and using technology for more complicated cases.
Factor and solve polynomial
functions.
Review 7.1 to 7.3
49
Use the rational root theorem
and the complex conjugate
root theorem to find the zeros of a polynomial function.
The Remainder Theorem
Rational Room Theorem
More on Factors, Zeros, and Dividing
Irrational and Imaginary Root Theorems
Descartes Rule of Signs
Analyzing and Solving Polynomial Equations
Worksheet – Rational Root Theorem (A) to Solve
Worksheet – Rational Root Theorem (B) to Solve
Worksheet – Last Practice Rational Root
50
Algebra 2 CP – Curriculum Pacing Guide – 2012-2013 Third Nine Weeks
Anderson School District Five Page 20 Copyrigth © July 1, 2012
Indicator Objective Activities Resources Days
Theorem to Find All Roots
Review Review – Chapter 6 Study Guide
Review for Test 51
Test 52
Algebra 2 CP – Curriculum Pacing Guide – 2012-2013 Third Nine Weeks
Anderson School District Five Page 21 Copyrigth © July 1, 2012
Unit 7 – Rational Functions
Indicator Objective Activities Resources Days
Identify and evaluate rational functions.
53
SC IA-4.8
CCSS A-APR.7
Carry out a procedure to perform operations with rational expressions (including addition,
subtraction, multiplication, and division).
(+) Understand that rational expressions form a system analogous to the rational
numbers, closed under addition, subtraction,
multiplication, and division by a nonzero rational expression; add, subtract, multiply,
and divide rational expressions.
Multiply and divide rational
expressions including complex fractions.
Worksheet – Multiply and Divide Rational Exp
Add and subtract rational
expressions.
Worksheet – Review of Operations
Worksheet – More on Adding and Subtracting
Worksheet – Add and Subtract with Like
Denominators Mixed Review of Operations
54
SC IA-2.9
C
CCSS
F-IF.7
Carry out a procedure to graph
discontinuous functions (including piecewise and step functions).
Graph functions expressed symbolically and show key features of the graph, by hand in
simple cases and using technology for more complicated cases.
Graph a rational function and find its domain and range (in
interval notation), write
equations for its asymptotes, and identify any holes in its
graph.
Worksheet – Graphing Rationals (a)
Worksheet – Graphing Rationals (b)
Worksheet – Graphing Rationals (c)
55
SC IA-
4.12
CCSS
A-REI.2
Carry out a procedure to solve rational
equations algebraically.
Solve simple rational and radical equations in one variable, and give examples showing
how extraneous solutions may arise.
Solve rational equations.
Worksheet – More on Solving Rational Exp
Worksheet – Solving Rational Exp
56
Review
Review – Chapter 9 Study Guide
Review – Graphing and Operations
Review – Operations & Solving Rational
57
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Indicator Objective Activities Resources Days
Equations
Review
Test 58
Algebra 2 CP – Curriculum Pacing Guide – 2012-2013 Third Nine Weeks
Anderson School District Five Page 23 Copyrigth © July 1, 2012
Unit 8 – Exponential Functions & Logarithmic Functions
Indicator Objective Activities Resources Days
SC IA-4.14
CCSS
F-IF-7c
Carry out a procedure to graph exponential functions.
Graph polynomial functions, identifying
zeros when suitable factorizations are
available, and showing end behavior.
Graph exponential functions using transformations.
Worksheet – Exponential Graphs
59
Find the domain and range
(in interval notation) and the equation of the horizontal
asymptote for an exponential function
Solve exponential equations
with like bases.
Worksheet – Exponential Eq with Like Bases
SC IA-
4.14
CCSS
F-IF.7e
Carry out a procedure to graph exponential
functions.
Graph exponential and logarithmic functions,
showing intercepts and end behavior, and trigonometric functions, showing period,
midline, and amplitude
Graph the inverse of the
exponential function and define the logarithmic
function.
Worksheet – Intro to Logs
60 SC IA-
4.13
CCSS
F-LE.4
Carry out a procedure to graph logarithmic
functions.
For exponential models, express as a logarithm the solution to ab
ct=d where a, c,
and d are numbers and the base b
Find the domain and range (in interval notation) and the
equation of the vertical asymptote for a logarithmic
function
Rewrite logarithmic
equations.
IA-4.6 Carry out a procedure to simplify algebraic
expressions involving logarithms.
Simplify and evaluate expressions involving
logarithms using the properties of logarithms.
Worksheet – Practice with Log Properties and
Solving Log Equations
61
SC IA-
4.10
CCSS
A-CED.1
Carry out a procedure to solve logarithmic
equations algebraically.
Create equations and inequalities in one variable and use them to solve problems.
Use the definitions of exponential and logarithmic
functions to solve equations.
Review – 1st Half Through Log Properties
Worksheet – Basic Log Equations with No
Calculator
Worksheet – Logs Worksheet
Worksheet – More on Logs
Classify an exponential
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Indicator Objective Activities Resources Days
function as representing a
growth or a decay.
SC IA-4.10
SC IA-4.11
CCSS F-BF.4
Carry out a procedure to solve logarithmic equations algebraically.
Carry out a procedure to solve logarithmic equations graphically.
Find inverse functions.
Solve equations involving logarithms algebraically and
graphically.
62 Solve exponential equations using common logs
algebraically and graphically.
Review – Log Equations and Exponential
Equations using Logs Worksheet – Exponential Eq with Unlike Bases
Calculate the growth of
investments under various conditions using exponential
and natural exponential
functions.
Worksheet – Compound Interest and Exp.
Funcitons
Worksheet – Growth & Decay – Solve for New
Variable
63
Write and evaluate
exponential expressions to
model growth and decay situations.
Activity – Shedding Light on the Subject
Activity – Spreading Rumors
Worksheet – More Word Problems
Worksheet – Word Problems Finding Other
Variables
Review Jeopardy Review
Station Rotation 64
Test Quiz on Logs 65
Third Nine Weeks Test Exam Review Materials 66-68
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Unit 9 – Sequence and Series
Indicator Objective Activities Resources Days
IA-6.1 Categorize a sequence as arithmetic,
geometric, or neither.
Categorize a sequence as arithmetic, geometric, or
neither.
Introduction to Sequences
69-70
IA-6.2
Carry out a procedure to write a specified
term of an arithmetic or geometric sequence
when given the nth term of the sequence.
Carry out a procedure to write a specified term of an
arithmetic sequence when
given the nth term of the sequence.
IA-6.3
Carry out a procedure to write a formula for the nth term of an arithmetic or geometric
sequence when given at least four consecutive terms of the sequence.
Write a specified term or
formula for the nth term of an arithmetic sequence when
given at least four consecutive terms of the
sequence.
IA-6.4
Carry out a procedure to write a formula for the nth term of an arithmetic or geometric
sequence when given at least four terms of
the sequence.
Write a formula for the nth term of an arithmetic
sequence when given at least
four terms of the sequence
IA-6.7
Carry out a procedure to determine
consecutive terms of a sequence that is
defined recursively.
Determine consecutive terms
of a sequence that is defined
recursively.
IA-6.8
Carry out a procedure to define a sequence
recursively when given four or more
consecutive terms of the sequence.
Define a sequence recursively
when given four or more consecutive terms of the
sequence
IA-6.9 Translate between the explicit form and the
recursive form of sequences.
Translate between the explicit form and the recursive form
of sequences.
Worksheet – Arithmetic Seq and Series
Arithmetic Sequence
Arithmetic Series
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Indicator Objective Activities Resources Days
IA-6.3
Carry out a procedure to write a formula for
the nth term of an arithmetic or geometric sequence when given at least four
consecutive terms of the sequence.
Write a specified term of an
geometric sequence when given the nth term of the
sequence.
70-71
IA-6.4
Carry out a procedure to write a formula for
the nth term of an arithmetic or geometric sequence when given at least four terms of
the sequence.
Write a specified term or formula for the nth term of
an geometric sequence when given at least four
consecutive terms of the
sequence.
Write a formula for the nth
term of an geometric sequence when given at least
four terms of the sequence
Review of Arithmetic and Geometric
Arithmetic and Geometric Means
Geometric Sequences
SC IA-6.5
CCSS
A-SSE.4
Represent an arithmetic or geometric series
by using sigma notation.
Derive the formula for the sum of a finite
geometric series (when the common ratio is not 1), and use the formula to solve
problems.
Represent an arithmetic or geometric series by using
sigma notation.
Finite Geometric Series
Infinite Geometric Series
72 SC IA-6.6
CCSS
A-SSE.4
Carry out a procedure to calculate the sum of an arithmetic or geometric series written
in sigma notation.
Derive the formula for the sum of a finite
geometric series (when the common ratio is not 1), and use the formula to solve
problems.
Calculate the sum of an
arithmetic or geometric series written in sigma notation
Review Mid-Chapter Review 73
Test 74
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Unit 10 – Piecewise Functions and Modeling
Indicator Objective Activities Resources Days
SC IA-2.9
D
CCSS
F-IF.7b
Carry out a procedure to graph
discontinuous functions (including piecewise and step functions).
Graph square root, cube root, and piecewise-defined functions, including step
functions and absolute value functions.
Define and graph piecewise
functions.
Worksheet – Graphing Piecewise Functions
75
SC
IA-2.10
CCSS
F-IF.5
Carry out a procedure to determine the
domain and range of discontinuous
functions (including piecewise and step functions).
Relate the domain of a function to its graph
and, where applicable, to the quantitative relationship it describes.
Identify the domain and range (in interval notation) of
piecewise functions.
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Indicator Objective Activities Resources Days
Define an absolute value
function.
76
SC IA-2.7
SC IA-2.8
D
CCSS F-BF.3
Carry out a procedure to graph translations of parent functions, including
Carry out a procedure to graph
transformations of parent functions
(including xyxyxy and,, 2).
Identify the effect on the graph of replacing f(x) + k, k f(x), f(kx), and f(x + k) for specific
values of k (both positive and negative); find
the value of k given the graphs. Experiment with cases and illustrate an explanation of
the effects on the graph using technology. Include recognizing even and odd functions
from their graphs and algebraic expressions
for them.
Graph an absolute value
function using
transformations and identify the domain and range (in
interval notation)
Solve absolute value
equations.
Graphing Absolute Value Equations
Solving Absolute Value Equations
Worksheet – Graphing & Solving Absolute Value
Equations
Define and graph a step
function.
SC IA-2.10
CCSS F-IF.5
Carry out a procedure to determine the domain and range of discontinuous
functions (including piecewise and step functions).
Relate the domain of a function to its graph and, where applicable, to the quantitative
relationship it describes.
Identify the domain and
range (in interval notation) of step functions.
77
xyxyxyxyxy
1,,,, 2
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Indicator Objective Activities Resources Days
SC IA-3.5
SC IA-4.4
CCSS
A-CED.1
Analyze given information (including
quadratic models) to solve contextual
problems.
Analyze given information (including polynomial models) to solve contextual
problems
Create equations and inequalities in one
variable and use them to solve problems.
Analyze given information
and scatterplots to determine the appropriate model to use
to solve contextual problems using the regression feature
of the graphing calculator.
These should include all previously learned functions.
Activity – Growing by Leaps and Bounds
Worksheet – More on Nonlinear Modeling
Problems
Worksheet (a) – Modeling Nonlinear
Worksheet – Nonlinear Modeling Using the
Calculator 78
Review Review for Test on Piecewise Functions 79
Test 80
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Anderson School District Five Page 31 Copyrigth © July 1, 2012
Unit 11 – Conic Sections
Indicator Objective Activities Resources Days
Classify a conic section as the intersection of a plane and a
double cone.
81
IA-5.2 Carry out a procedure to write an equation of a circle centered at the origin when given
its radius.
Write an equation for a circle. Worksheet – Parabola and Circle
IA-5.1
Carry out a procedure to graph the circle
whose equation is the form Given an equation of a circle, graph it and label the radius
and the center
IA-5.2
Carry out a procedure to write an equation
of a circle centered at the origin when given its radius.
Complete the square to change the equation of a
circle from general form to standard form.
IA-5.3
Carry out a procedure to graph the ellipse
whose equation is the form
Write the standard equation
of an ellipse.
Worksheet – Ellipse
82
Given an equation of an
ellipse, graph it and label the
center, vertices, covertices, and foci.
IA-5.4
Carry out a procedure to write an equation
of an ellipse centered at the origin when given information from among length of
major axis, length of minor axis, and vertices.
Complete the square to
change the equation of an ellipse from general form to
standard form.
IA-5.6
Carry out a procedure to write an equation
of a hyperbola centered at the origin with specified vertices.
Write the standard equation
for a hyperbola.
Worksheet - Hyperbola
IA-5.5
Carry out a procedure to graph the
hyperbola whose equation is the form Graph the equation of a hyperbola and identify the
center, foci, vertices, and
covertices.
x2 y2 r2
x 2
a2y 2
b21
x 2
a2y 2
b21
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Indicator Objective Activities Resources Days
IA-5.6 Carry out a procedure to write an equation of a hyperbola centered at the origin with
specified vertices.
Complete the square to
change the equation of a
hyperbola from general form to standard form.
82 cont’d
IA-5.7 Match the equation of a conic section with its graph.
Identify a conic section from
its equation.
Mixed product.
Review – Circle, Hyperbola, Ellipse
Review – Parts of Conics 83
SC IA-
2.11
CCSS
A-REI.11
Carry out a procedure to solve a system of
equations (including two linear functions
and one linear function with one quadratic function).
Explain why the x-coordinates of the points
where the graphs of the equations y = f(x)
and y = g(x) intersect are the solutions of
the equation f(x) = g(x); find the solutions
approximately, e.g., using technology to
graph the functions, make tables of values, or find successive approximations. Include cases where f(x) and/or g(x) are linear,
polynomial, rational, absolute value,
exponential, and logarithmic functions.
Solve a system of equations containing first or second
degree equations in two variables.
84
Review Activity – Parabola Race Game
Review for Test 85
Test 86
Exam Review
87-90 Final Exam Exam Review Materials