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Algebra 2 CP – Curriculum Pacing Guide – 2012-2013

Anderson School District Five 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


Algebra 2 CP – Curriculum Pacing Guide – 2012-2013 First Nine Weeks


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




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



Unit 2 – Linear Functions


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









Graph linear functions using

the graphing calculator and transformations.

Worksheet – Modeling Linear Equations

xyxyxyxyxy

1,,,, 2





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










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




Review Review Study Guide

Review Worksheet for Test 9 cont’d

Test 10



Unit 3 – System of Linear Equation


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


linear inequalities algebraically.

Represent constraints by equations or inequalities, and by systems of equations

and/or inequalities, and interpret solutions


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.


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



Unit 3 – System of Linear Equation continued


SC IA-2.2

SC IA-2.4

CCSS A-CED.3


linear inequalities graphically.

Use linear programming to solve contextual

problems involving a system of linear inequalities.



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.




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.



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




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


Unit 4 – Radical Functions


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




SC IA-2.7

SC IA-2.8

B

CCSS F-BF.3

Carry out a procedure to graph translations

of parent functions.. including







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



Unit 5 – Quadratic Functions


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.




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




Second Nine Weeks Test (if test is given before Christmas break) Review for Test A

Review for Test



Unit 5 – Quadratic Functions continued


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




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




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 Third Nine Weeks


Unit 6 – Polynomial Functions


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




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




Theorem to Find All Roots

Review Review – Chapter 6 Study Guide

Review for Test 51

Test 52



Unit 7 – Rational Functions


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


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




Equations

Review

Test 58



Unit 8 – Exponential Functions & Logarithmic Functions


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




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

Algebra 2 CP – Curriculum Pacing Guide – 2012-2013 Fourth Nine Weeks


Unit 9 – Sequence and Series


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




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



Unit 10 – Piecewise Functions and Modeling


SC IA-2.9

D

CCSS

F-IF.7b


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.




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









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




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



Unit 11 – Conic Sections


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


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


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




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


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

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