2010-2011 washoe county school district algebra 2 semester...

2010-2011 Washoe County School District

Aligned to WCSD NV Math Enhancements 2009 and McDougall-Littell, 2007 Algebra 2 textbook

REV 082010

Algebra 2 – Semester 1, Test Blueprint and Information The blueprint shows the recommended organization of the multiple-choice math final. It is expected that

teachers will construct an additional free response section to be given on exam day or on a previous day

so that topics not easily tested in a multiple-choice format may be assessed. Instructions for preparing

calculators for testing will be made available through the department lead. See the Course Guide for

additional information on topics and standards for this course. An approved Test Reference sheet and

other resources will be made available through the WCSD website.

Algebra 2, Semester 1 – 60 Multiple Choice Questions

Textbook Topic Standards Questions

Ch 1, Sec 1-3, 6-7

Classify Numbers Solve Linear Equations *Chapter 1 reviews prerequisite skills necessary for new or advanced course concepts introduced in later chapters; new and advanced concepts and skills will be assessed on the semester exam; see later textbook chapters

WA 1.12.8.2 WA 1.12.7.6 WA 2.12.5.3

prerequisite skills/concepts *see note

Ch 8, Sec 1 Inverse and Joint Variation WA 3.12.5.6 4 questions

Ch 2, Sec 1-5,

7-8

Equations of Lines (Parallel & Perpendicular)

Solve and Graph Linear Inequalities/Equations &

Systems

Translations of Absolute Values

WA 4.12.6.4

WA 2.12.5.2

WA 2.12.4.4

4 questions

6 questions

2 questions

Ch 3, Sec 1-8 Solving Systems with 3 variables

Matrix Operations

Matrix Interpretation *(assessment questions will focus

on Matrix operations; problems may be in context)

WA 2.12.5.3

WA 1.12.7.5

WA 1.12.7.4

WA 5.12.1.3*

4 questions

6 questions

Ch 4, Sec 1-8,

10

Parabolas – Max/Min

Solving Quadratic Equations

Complex Number Operations

Classifying Numbers

*embedded skill/concept; indicator not assessed on semester exam Quadratic Translations

Graphing Parabolas

WA 2.12.6.3

WA 2.12.6.2

WA 1.12.7.6

WA 1.12.8.2

WA 2.12.4.4

WA 4.12.1.4

2 questions

4 questions

6 questions

*see note

2 questions

4 questions

Ch 5, Sec 2-5 Polynomial Equations

Synthetic/Long Division

Perfect Cubes

WA 2.12.3.5

WA 2.12.3.4

WA 1.12.5.1

10 questions

4 questions

2 questions

2010-2011 School Year – WCSD, Algebra 2 NV Mathematics Standards with WCSD HS Enhancements, 2009

Text Resource: Algebra 2, McDougall-Littell, 2007


REV 082010

Algebra 2, Course Guide: Semester 1 WCSD HS Enhancement Enhancement Details and Vocabulary Instructional Resources Instructional Notes

WA 1.12.8.2

Classify numbers into the

various number families in

the complex number

system.

1.1 Identify subsets of the Real

Numbers

4.6 Classification of Complex

Numbers

WA 1.12.7.6

Perfom operations on

complex numbers and

graph complex numbers.

1.2 Like Terms

4.6 Operations w/Complex

Numbers

WA 3.12.5.6

Solve mathematical and

practical problems

involving direct, inverse

and joint variations.

2.5 Direct Variation

8.1 Inverse & Joint Variation




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WA 4.12.6.4

Write an equation for the

perpendicular line (or

parallel line) that goes

through a point not on the

line.

2.2 Slope Formula

2.2 Parallel & Perpendicular

Slopes

2.3 Graph Equations of Lines

2.4 Write Equations of Lines

WA 2.12.5.2

Translate among verbal

descriptions, graphic and

algebraic representations

to solve systems of linear

equations and inequalities.

-includes systems of inequalities 1.6 Linear Inequalities

2.8 Linear Inequalities w/2

variables

3.1 Linear Systems by

Graphing

3.2 Solve Linear Systems

Algebraically

Prerequisite Chapter 2

Sec 3-5

WA 2.12.4.4

Write and describe

functions using

translations and

transformations of the

following parent

functions: quadratic,

absolute value, and cubic.

2.7 Absolute Value

4.1 Quadratic

translation/transformation


Section 7




REV 082010


WA 2.12.5.3

Solve systems of equations

with three unknowns

algebraically and graph the

solution.

Review:

3.1 Linear Systems by

Graphing

3.2 Solve Linear Systems

Algebraically

New:

3.3 Graph Linear Systems of

Inequalities

3.4 Linear Equations w/3

Variables


Section 3

WA 1.12.7.5

With technology, use and

find solutions to matrix

multiplication, the inverse

and the determinant of a

square matrix.

Review:

3.5 Basic Matrix Operations

New:

3.6 Multiplying Matrices

3.7 Evaluate Determinant-no

Cramer's Rule

WA 1.12.7.4

Without technology, know

the procedure to find:

solutions to matrix

multiplication, the inverse

of 2x2 matrix.

3.6 Matrix Multiplication

3.7 Determinant

3.8 Inverse of 2x2

WA 5.12.1.3

Organize data in a matrix,

and interpret the result

when using matrix

multiplication.

3.8 Problem Solving

w/Matrices




REV 082010


WA 2.12.6.3

Find the maximum or

minimum using quadratics

in practical situations.

Find the maximum and

minimum values of

parabola in mathematical

and practical situations.

Chapter 4 Section 1

Calculator Activity pg 244

Maximum/Minimum of

a Parabola

WA 2.12.6.2

Solve quadratic equations

by factoring, completing

the square, and by using

the quadratic formula to

find real solutions.

4.3-4.4 Factoring Quadratics

4.5 Simplifying Radicals

(reference)

4.6 Operations w/Complex

Numbers

4.7 Completing the Square

4.8 Quadratic

Formula/Discriminant

WA 4.12.1.4

Write equations and

translations of circles and

parabolas.

4.2 Graph Quadratic Functions

in Vertex or intercept form

4.10 Write Quadratic

Functions and models




REV 082010


WA 2.12.3.4

Know the procedure and

use long synthetic

division with

polynomials. Use the

factor and remainder

theorems to evaluate and

verify real solutions.

5.2 Poly Functions;

Synthetic Division; End

Behaviors

5.5 Remainder & Factor

Theorems

WA 2.12.3.5

Solve polynomial

equations for real

solutions given one root

or factor.

- End Behavior

-Shape of graph 5.2 Evaluate/Graph Poly

Functions

5.3 Add, Subtract &

Multiply Polynomials

5.4

WA 1.12.5.1

Know and use perfect

cubes to 125 and perfect

cubes of 1,000 in

mathematical and

practical situations.

Chapter 5 Section 4 Sum/difference of

cubes

2010-2011 Washoe County School District


REV 082010

Algebra 2 – Semester 2, Test Blueprint and Information The blueprint shows the recommended organization of the multiple-choice math final. It is expected that

teachers will construct an additional free response section to be given on exam day or on a previous day

so that topics not easily tested in a multiple-choice format may be assessed. Instructions for preparing

calculators for testing will be made available through the department lead. See the Course Guide for

additional information on topics and standards for this course. An approved Test Reference sheet and

other resources will be made available through the WCSD website.

Algebra 2, Semester 2 – 60 Multiple Choice Questions

Textbook Topic Standards Questions

Ch 6, Sec 1-6

and Extension

6.6

Evaluate Radical Expressions

Simplify Radical Expressions

Function Composition and Function Notation

Inverse Functions

Solve Radical Equations and Inequalities

Cubic Functions – Translation/Transformations

Domain/Range of Radical Functions

WA 1.12.7.3

WA 2.12.3.6

WA 2.12.4.5

WA 2.12.4.6

WA 2.12.5.4

WA 2.12.4.4

WA 2.12.4.3

2 questions

4 questions

2 questions

2 questions

4 questions

2 questions

1 question

Ch 7, Sec 1-6

Ch 5, Sec 1

Domain/Range of Log and Exponential Functions

Evaluate Exponential Expressions

Simplify Exponential and Log Functions

Solve Log and Exponential Functions

Compound Formulas (Interest)

WA 2.12.4.3

WA 1.12.7.3

WA 2.12.3.7

WA 2.12.5.5

WA 3.12.4.2

1 question

2 questions

4 questions

4 questions

4 questions

Ch 8, Sec 2-6

and Extension

8.6

Domain/Range of Rational Functions

Graph Rational Functions

Simplify Rational Expressions

Solve Rational Equations and Inequalities

WA 2.12.4.3

WA 4.12.3.4

WA 2.12.3.6

WA 2.12.5.4

2 questions

2 questions

4 questions

4 questions

Ch 9, Sec 1-3 Parabolas Equations/Translations

Circles Equations/Translations

WA 4.12.1.4 6 questions

Ch 10, Sec 1-5 Conditional Probabilities/Binomial Probabilities

Venn Diagrams – Union/Intersection

Organize and Solve using Venn Diagrams

WA 5.12.5.4

WA 4.12.9.4

WA 5.12.1.4

4 questions

2 questions

2 questions

Ch 11, Sec 1,

3

Probability using Normal Distribution WA 5.12.3.4 2 questions




REV 082010


WA 1.12.7.3

Evaluate radical

expressions and

exponential expressions

with and without

rational exponents.

6.1 Evaluate nth Roots and

Use Rational Exponents

WA 2.12.3.6

Simplify rational and

radical expressions.

Vocabulary: Rational Expressions 4.5 Simplifying Radicals

6.2 Radicals

8.4-8.5 Rational Operations

Prerequisite Ch 4 Sec 5

WA 2.12.4.5

Know, use and combine

functions using

mathematical operations

and composition of

functions in function

notation form.

6.3 Perform Function

Operations and

Composition

Include Domain

WA 2.12.4.6

Find the inverse of a

linear function and

verify if the inverse is a

function using

compositions.

6.4 Use Inverse Functions

Exploring Inverse Activity

p437

WA 2.12.5.4

Solve radical equations

or inequalities; solve

rational equations or

inequalities.

6.6 Radical Equations

Extension p462

8.6 Rational Equations

Extension p598

Inequalities are located in

extensions at the end of the

chapters




REV 082010


WA 2.12.4.4

Write and describe

functions using

translations and

transformations of the

following parent

functions: quadratic,

absolute value, and cubic.

6.5 Graph Square root and

Cube root Functions

Translations/transformations

for cubic functions

WA 2.12.4.3

Determine the domain

and range from the graph

of cubic, rational, radical,

exponential, and

logarithmic functions

using interval, set, and

inequality notation.

6.5 Cubic and Radical Graphs

7.1-7.3

Exponential/Logarithmic

Graphs

8.2-8.3 Rational Graphs


Section 1

Standard addressed

throughout the semester

Supplement for interval &

set notation. (See

Precalculus text pages 115-

117)

WA 2.12.3.7

Simplify expressions

using properties of

exponential or

logarithmic functions.

INCLUDE 5.1 Exponent

Properties

7.3 Exponential Functions

WA 2.12.5.5

Use logarithmic and

exponential properties to

solve mathematical

equations involving

logarithmic and

exponential functions.

7.4 Evaluate Logs

7.5 Properties of Logs

7.6 Solve Equations




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WA 3.12.4.2

Solve practical financial

problems involving

compounded interest,

effective yield and

continuous compounding

formulas.

Chapter 7 Sections 1-6 Incorporate financial

problems throughout

Chapter 7, located at end

of homework problems

WA 4.12.3.4

Graph rational functions,

including vertical and

horizontal asymptotes and

holes.

8.2 Simple Graphs

8.3 General Graphs

WA 4.12.1.4

Write equations and

translations of circles and

parabolas.

Include all conic sections

Focus on identifying, completing the square, and

translations of the conic sections

Chapter 4 Section 2

Chapter 4 Section 10

Chapter 9 Sections 1-6

4.5 Simplifying Radicals

(reference)




REV 082010


WA 5.12.5.4

Find conditional

probabilities and find

binomial probabilities.

10.1-10.3 Provide Prerequisite

skills need for 10.5/10.6

10.5 Conditional Probability

10.6 Binomial Probability is

Binomial Experiment

WA 4.12.9.4

Create a Venn diagram to

illustrate intersections and

unions of events in

practical situations.

Chapter 10 Section 4

Extension p715

Use Venn Diagrams to

teach compound events

WA 5.12.1.4

Organize data and solve

problems using Venn

diagrams.

Chapter 10 Section 4 plus

Extension p715

Supplement Creating

Venn Diagrams

WA 5.12.3.4

Find the probability of an

event given that the data is

normally distributed and

the mean and standard

deviation are known.

11.1 Mean/Standard Deviation

11.3 Normal Distribution

2010-2011 washoe county school district algebra 2 semester...

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