Course Overview: Quarter 1

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Curriculum and Pacing Guide

Mathematics: Algebra I Honors 1200320

Revised – June 2011

General Strategies

The student will use new vocabulary that is introduced and taught directly;

The student will listen to, read, and discuss familiar and conceptually challenging text;

The student will relate new vocabulary to familiar words;

The student will pre-write by using organizational strategies and tools (e.g., technology, spreadsheet, outline, chart, table, graph, Venn Diagram, web, story map, plot pyramid) to develop a personal organizational style.

Online Resources:

ThinkCentral Online Edition: Thinkcentral.com

For Teachers

-Lesson transparencies

-Powerpoint Presentations

-Editable lesson plans and worksheets

For Students

-Student Edition

-Video Tutor w/Practice

-Animated Algebra

-Leveled practice worksheets -@HomeTutor Online

-IDEA Works! Modified worksheets, quizzes, -Extra practice broke out by lesson and chapter

And test for special needs students

-Interactive Quizzes and Tests

-All workbooks

-Graphing Calculator

-Virtual manipulatives

-Parent resource

Benchmark

LA.910.1.6.1

LA.910.1.6.2

LA.910.1.6.5

LA.910.3.1.3

1

Essential Questions:

Quarter 1

How do you write and evaluate algebraic expressions? (Ch.1)

Can you use expressions to write equations and inequalities? (Ch.1).

How do you represent functions as verbal rules, equations, tables, and graphs? (Ch.1).

Can you performing operations with real numbers? (Ch.2)

Are you able to apply properties of real numbers? (Ch.2)

How do you classify and reason with real numbers? (Ch.2)

Can you solve equations in one variable? (Ch.3)

How do you solve proportions and percent problems? (Ch.3)

Can you rewriting equations in two or more variables? (Ch.3)

Can you graph linear equations and functions using a variety of methods? (Ch.4)

How do you recognize how changes in linear equations and functions affect their graphs? (Ch.4)

Can you use the graphs of linear equations and functions to solve real-world problems? (Ch.4)

Quarter 2

Are you able to write linear equations in a variety of forms? (Ch.5)

Can you use linear models to solve problems? (Ch.5)

Are you able to model data with a line of fit? (Ch.5)

Can you apply the properties of inequality? (Ch.6)

Are you able to use statements with and or or? (Ch.6)

How do you graph inequalities? (Ch.6)

How do you solve linear systems by graphing? (Ch.7)

Can you solve linear systems using algebra? (Ch.7)

What is the process of solving systems of linear inequalities? (Ch.7)

Quarter 3

Can you apply properties of exponents to simplify expressions? (Ch.8)

Are you able to work with numbers in scientific notation? (Ch.8)

Can you write and graph exponential functions? (Ch.8

Can you add, subtract, and multiply polynomials? (Ch.9)

Are you able to factor different types of polynomials? (Ch.9)

Can you write and then use polynomial equations to solve problems? (Ch.9)

How do you graph a quadratic function? (Ch.10)

Can you solve quadratic equations? (Ch.10)

Are you able to compare linear, exponential, and quadratic models? (Ch.10)

Quarter 4

Can you graph square root functions? (Ch.11)

Are you able to use properties of radicals in expressions and equations? (Ch.11)

Can you work with radicals in geometry? (Ch.11)

How do you graph rational functions? (Ch.12)

Can you perform operations on rational expressions? (Ch.12)

How do you solve rational expressions? (Ch.12)

Note: H.O.T. Questions (by lesson) are located at the end of this document.

2

3

Year at a Glance:

1st Quarter

Course Content Sunshine State Standards*

Chapter 1

– Expressions, Equations, and Functions

MA.912.A.2.3, MA.912.A.2.4, MA.912.A.2.13, MA.912.A.3.1, MA.912.A.10.1

Chapter 2

– Properties of Real Numbers

MA.912.A.3.2, MA.912.D.7.1, MA.912.D.7.2, MA.912.A.10.1

Chapter 3

– Solving Linear Equations

MA.912.A.3.1, MA.912.A.3.2, MA.912.A.3.3, MA.912.A.3.5, MA.912.A.3.7, MA.912.A.5.4,

MA.912.A.10.1, MA.912.A.10.2

Chapter 4

– Graphing Linear Equations and Functions

MA.912.A.2.3, MA.912.A.2.4, MA.912.A.2.13, MA.912.A.3.1, MA.912.A.3.7,

MA.912.A.3.8, MA.912.A.3.9, MA.912.A.3.11, MA.912.A.3.12, MA.912.A.10.2, MA.912.G.1.4

2nd Quarter

Course Content Sunshine State Standards*

Chapter 5

– Writing Linear Equations

MA.912.A.2.3, MA.912.A.3.7, MA.912.A.3.9, MA.912.A.3.10, MA.912.A.3.11, MA.912.A.3.12,

MA.912.A.10.2, MA.912.D.7.2, MA.912.G.1.4

Chapter 6

– Solving and Graphing Linear Inequalities

MA.912.A.2.3, MA.912.A.3.4, MA.912.A.3.5, MA.912.A.3.6, MA.912.A.3.12,

MA.912.A.10.1, MA.912.D.7.2

Chapter 7

– Systems of Equations and Inequalities

MA.912.A.3.13, MA.912.A.3.14, MA.912.A.3.15, MA.912.A.10.1

3rd Quarter

Course Content Sunshine State Standards*

Chapter 8

– Exponents and Exponential Functions

MA.912.A.2.3, MA.912.A.2.4, MA.912.A.2.13, MA.912.A.4.1, MA.912.A.10.1

Chapter 9

– Polynomials and Factoring

MA.912.A.1.8, MA.912.A.2.3, MA.912.A.4.2, MA.912.A.4.3, MA.912.A.7.2, MA.912.A.7.8,

MA.912.A.10.2

Chapter 10

– Quadratic Equations and Functions

MA.912.A.2.3, MA.912.A.2.4, MA.912.A.2.13, MA.912.A.4.3, MA.912.A.7.1, MA.912.A.7.6,

MA.912.A.7.8, MA.912.A.7.10, MA.912.A.10.2

4th Quarter

Course Content Sunshine State Standards*

Chapter 11

– Radicals and Geometry Connections

MA.912.A.2.3, MA.912.A.2.4, MA.912.A.2.13, MA.912.A.6.1, MA.912.A.6.2,

MA.912.A.10.1

Chapter 12

– Rational Equations and Functions

MA.912.A.1.8, MA.912.A.2.3, MA.912.A.2.4, MA.912.A.2.13, MA.912.A.4.4, MA.912.A.5.1,

MA.912.A.5.3, MA.912.A.5.5, MA.912.A.5.7

Course Overview: Quarter 1

WEEK

1 - 2

3-4

5 -7

7-9

Concepts

Introduction/Prerequisite Skills

1-1 Evaluating Expressions

1-2 Applying Order of Operations

1-3 Writing Expressions

1-4 Writing Equations and Inequalities

1-5 Use a Problem Solving Plan

1-6 Represent Functions as Rules and Tables

1-7 Represent Functions as Graphs

Assessment

2-1 Use Integers and Rational Numbers

2-2 Add Real Numbers

2-3 Subtract Real Numbers

2-4 Multiply Real Numbers

2-5 Apply the Distributive Property

2-6 Divide Real Numbers

2-7 Find Square Roots and Compare Real Numbers

Assessment

3-1 Solve One-Step Equations

3-2 Solve Two-Step Equations

3-3 Solve Multi-Step Equations

3-4 Solve Equations with Variables on Both Sides

3-5 Writing Ratios and Proportions

3-6 Solving Proportions Using Cross Products

3-7 Solving Percent Problems

3-8 Rewriting Equations and Formulas

Assessment

4-1 Plotting Points in a Coordinate Plane

4-2 Graphing Linear Equations

4-3 Graphing Using Intercepts

4-4 Find Slope and Rate of Change

4-5 Graph Using Slope-Intercept Form

4-6 Model Direct Variation

4-7 Graph Linear Functions

Assessment

Number of Days/Calendar Events

10 Days

9 Days

4

12 Days

12 Days

WEEK

10-13

13-16

16-17

Course Overview: Quarter 2

Concepts

5-1 Write Linear Equations in Slope-Intercept Form

5-2 Use Linear Equations in Slope-Intercept Form

5-3 Write Linear Equations in Point-Slope Form

5-4 Write Linear Equations in Standard Form

Arithmetic Sequences

5-5 Write Equations of Parallel and Perpendicular Lines

5-6 Fit Line to Data

5-7 Predict with Linear Models

Assessment

6-1 Solve Inequalities Using Addition and Subtraction

6-2 Solve Inequalities Using Multiplication and Division

6-3 Solve Multi-Step Inequalities

6-4 Solve Compound Inequalities

6-5 Solve Absolute Value Equations

6-6 Solve Absolute Value Inequalities

6-7 Graph Linear Inequalities in Two Variables

Assessment

7-1 Solve Linear Systems by Graphing

7-2 Solve Linear Systems by Substitution

7-3 Solve Linear Systems by Adding and Subtracting

7-4 Solve Linear Systems by Multiplying First

7-5 Solve Special Types of Linear Systems

7-6 Solve Systems of Linear Inequalities

Assessment

Midterm Week

18-19

Date Completed / Notes

12 Days

14 Days

9 Days

5 Days

5

WEEK

20-22

22-24

25- 28

Course Overview: Quarter 3

Concepts

8-1 Apply Exponent Properties Involving Products

8-2 Apply Exponent Properties Involving Quotients

8-3 Define and Use Zero and Negative Exponents

8-4 Use Scientific Notation

8-5 Write and Graph Exponential Growth Functions

8-6 Write and Graph Exponential Decay Functions

Geometric Sequences

Assessment

9-1 Add and Subtract Polynomials

9-2 Multiply polynomials

9-3 Find Special Products of Polynomials

9-4 Solve Polynomial Equations in Factored Form

9-5 Factor x 2 + bx + c

9-6 Factor ax 2 + bx + c

9-7 Factor Special Products

9-8 Factor Polynomials Completely

Assessment

10-1 Graph y = ax 2 + c

10-2 Graph y = ax 2 + bx + c

10-3 Solve Quadratic Equations by Graphing

10-4 Use Square Roots to Solve Quadratic Equations

10-5 Solve Quadratic Equations by Completing the Square

10-6 Solve Quadratic Equations by the Quadratic Formula

10-7 Interpret the Discriminant

10-8 Compare Linear, Exponential, and Quadratic Models

Assessment

Date Completed / Notes

11 Days

14 Days

16 Days

6

WEEK

29 -30

31-32

32-35

36-39

Course Overview: Quarter 4

Concepts

11-1 Graph Square Root Functions

11-2 Simplify Radical Expressions

11-3 Solve Radical Equations

11-4 Apply the Pythagorean Theorem and its Converse

11-5 Apply the Distance and Midpoint Formulas

Assessment

Standards Review and Practice

FCAT Week

12-1 Model Inverse Variation

12-2 Graph Rational Functions

12-3 Divide Polynomials

12-4 Simplify Rational Expressions

12-5 Multiply and Divide Rational Expressions

12-6 Add and Subtract Rational Expressions

12-7 Solve Rational Expressions

Assessment

End of Course Exam (May 16)

Projects

Exam Week – Other Subject Areas

Date Completed / Notes

11 Days

9-10 Days

16 Days

15 Days

7

8

Algebra 1 Honors – High School Course Number: 1200320

Materials: Holt McDougal Larson Algebra 1

Chapter 1: Expressions, Equations, and Functions

Days Topic

1 Introduction/

Prerequisite

Skills

Text

Section

Benchmarks Vocabulary

Week 1

Scavenger Hunt

Pg. xix

Extensions/Resources

1

1 Evaluate

Expressions

Apply Order of

Operations

1 Write

Expressions

1 Write

Equations and

Inequalities

1-1

1-2

MA.912.A.1.1

MA.912.A.1.4

MA.912.A.1.4

Variable,

Algebraic

Expression,

Power, Base,

Exponent,

Order of

Operations

1-3 MA.912.A.1.5

Verbal Model,

Rate, Unit Rate

Go to the textbook website: http://www.thinkcentral.com/index.htm

Activity Generator

Animated Algebra

Video Tutor

Countdown

Pre-AP Resources

Understanding Math, under Whole Numbers and

Integers, Order of Operations

Springboard (SB) 1.1

Go to the textbook website: http://www.thinkcentral.com/index.htm

Under Videos and Activities, Animated Math 1-3

SB 1.1

1-4 MA.912.A.10.1

Equation,

Inequality,

Open Sentence,

Solution of an

Equation,

Solution of an

Inequality

Go to the textbook website: http://www.thinkcentral.com/index.htm

Under Videos and Activities, Animated Math 1-4

SB 1.4, 1.5

Study Island – Lesson 2g

DW Test Item #s

5537,61550,61554,61557,615

56

16091,1182,1759,1777,1764,2

046,2198,2259,16092,61548,7

9905,79903

716,1775,14346,16094,16100,

20242,61530,61532,61533,61

538,79936

1055,3995,14304,14400,1618

9,1876,1877,1879,1881,1882,

1893,1909,5584,17816,12094,

11304

Days Topic

1 Use a Problem

Solving Plan

1 Represent

Functions as Rules and Tables

1

2

Represent

Functions as

Graphs

Chapter 1 Review and Assessment

Text

Section

Benchmarks Vocabulary

1-5 MA.912.A.10.1

Formula

Week 2

1-6

1-7

MA.912.A.2.3

MA.912.A.2.4

MA.912.A.2.13

MA.912.A.2.3

MA.912.A.2.4

,

,

,

Function,

Domain, Range,

Independent

Variable,

Dependent

Variable

Function,

Domain, Range

Extensions/Resources DW Test Item #s

Go to the textbook website: http://www.thinkcentral.com/index.htm

Activity Generator

Animated Algebra

Video Tutor

Countdown

Pre-AP Resources

SB 2.1, 2.2

Lab 1.6 Tables & Scatterplots on Ti-84+ pg.41-42

1762,1865,2028,2048,2072,2

073,2080,2254,2265,2288,22

90,2293,2305,2116,11145,11

231,11237,11244,14282,144

34,79945,103618,103624

1854,16124,1850,2127,1613

4, 104615

Use teacher tools transparencies, available on the textbook website.

SB 2.1, 2.2

Activity pg. 49-50 in class – determine if a relation is a function.

Study Island – Lesson 2b

Post-Test Performance Assessment as Take Home

Project- See Teacher-One Stop Disc

1849,8017,14368,133710,96

590,80437,80438,16235,143

85,1850,16284,16132

9

10

Days Topic

1 Use Integers and

Rational Numbers

Text

Section

2-1

1

1

1

Add Real

Numbers

Subtract Real

Numbers

Multiply Real

Numbers

2-2

2-3

2-4

Week 3

Benchmarks Vocabulary Extensions/Resources

MA.912.D.7.2

Whole Numbers,

Integers, Rational

Numbers,

Opposites,

Absolute Value,

Conditional

Statement

MA.912.A.3.2

Additive Identity,

Additive Inverse

Understanding Math, Under Whole Numbers and

Integers

SB 1.7

MA.912.A.1.4

MA.912.A.3.2

Opposites

Multiplicative

Identity

Use integer chips to demonstrate addition of integers.

SB 1.3

Understanding Math, Under Whole Numbers and

Integers

SB 1.3

Understanding Math, Under Whole Numbers and

Integers.

Use animated algebra (Skydiver in Free Fall), available on the textbook website.

SB 1.3

DW Test Item #s

16104,61643,20311

1807,61578,61581,61587

1807,16097,32602,61594,61

595,61596,61597

1048,1779,1782,1995,2018,

2201,5560,16103,17783,178

13,22588,61589,61599,6160

3,61604,2187,2189,61546,6

1613,1858,22481,61617

11

1

2

Days

1

1

Topic

Apply The

Distributive

Property

Divide Real

Numbers

Find Square Roots and Compare Real

Numbers

Chapter 2 Review and Assessment

Text

Section

Benchmarks

2-5

MA.912.A.3.2

2-6

MA.912.A.1.4

2-7

MA.912.A.1.1M

A.912.A.1.2

Square Root,

Radicand, Perfect

Square, Irrational

Number, Real

Numbers

Understanding Math, under Understanding

Exponents, Square Roots.

SB 1.2

Extension – Cube Roots pg. 117-118

Vocabulary

Equivalent

Expressions,

Distributive

Property, Term,

Coefficient,

Constant Term,

Like Terms

Multiplicative

Inverse,

Reciprocal, Mean

Week 4

Extensions/Resources

Use animated algebra (Skydiver in Free Fall), available on the textbook website.

SB 1.3

Study Island – Lesson 2d

Algebra 1 Best Practices Toolkit

SB 1.3

Post-Test Performance Assessment as Take Home

Project- See Teacher-One Stop Disc

Study Island – Lesson 2d

Post-Test Union & Intersection pgs. 73-75

Study Island – Lesson 3a

Utilize Previous Adoption Book (McDougal Littel) to supplement if available/needed.

DW Test Item #s

35099,726,104282,13467,18

57,13456,16098,16167,1623

7,20251

2259,1858,2187,2189,2248,

61546,61608,61613,61617,1

999

708,1782,1792,1796,61558,

61560,13219,622,5591,

Days

1

Topic

1 Solve One-Step

Equations

Solve Two-Step

Equations

2 Solve Multi-Step

Equations

Text

Section

3-1

Benchmarks

MA.912.A.3.1

MA.912.A.3.2

3-2

3-3

MA.912.A.3.1

MA.912.A.3.1

,

MA.912.A.3.5

Vocabulary

Inverse

Operations,

Equivalent

Equations,

Reciprocal

Like Terms,

Input, Output

Like Terms,

Distributive

Property,

Reciprocal

Week 5

Extensions/Resources

Use Balance Scale to illustrate solving one-step equations.

SB 1.4

Go to the textbook website: http://www.thinkcentral.com/index.htm

Activity Generator

Animated Algebra

Video Tutor

Countdown

Pre-AP Resources

SB 1.4, 1.5

SB 1.4, 1.5

Study Island – Lesson 2c

DW Test Item #s

16105,3824,3953,19739

5539,16106,16107

5586,20313,17555

12

13

Days

1

Topic

Solve Equations with Variables on

Both Sides

Write Ratios and

Proportions

1

Text

Section

3-4

Benchmarks

MA.912.A.3.1

MA.912.A.3.5

3-5

MA.912.A.3.1

MA.912.A.5.4

,

Vocabulary

Identity

Week 6

Extensions/Resources

On the textbook website, IDEA Works!

SB 1.5

Ratio,

Proportion,

Simplest Form

Understanding Math, under Understanding

Percent, Ratios and Proportions.

1

2

Solve Proportions

Using Cross

Products

Solve Percent

Problems

3-6

MA.912.A.3.1

MA.912.A.5.4

3-7

MA.912.A.3.1

Cross Product,

Scale Drawing,

Scale Model,

Scale

Percent,

Proportion

Understanding Math, under Understanding

Percent, Ratios and Proportions.

Understanding Math, under Understanding

Percent, Problems Involving Percent.

Include: Percent Change Lesson on pg. 185

DW Test Item #s

1050,1067,2052,5566,1610,

1969

2117,2120,2045,14279,2007

1,20072,20449,33345,33346

,82506,82510,2307,5705,57

13

*see above 3.5

8707,11614,35124

14

Days

1

Topic

Rewrite Equations

and Formulas

Text

Section

3-8

2

1

1

Chapter 3 Review and Assessment

Plot Points in a

Coordinate Plane

Graph Linear

Equations

4-1

4-2

Benchmarks Vocabulary

MA.912.A.3.3

Literal Equation,

Formula

MA.912.A.2.3

MA.912.A.2.4

MA.912.A.2.4

MA.912.A.3.8

,

,

Quadrants,

Coordinate

Plane, Ordered

Pair

Quadrants,

Coordinate

Plane, Ordered

Pair

Week 7

Extensions/Resources

Go to the textbook website: http://www.thinkcentral.com/index.htm

Activity Generator

Animated Algebra

Video Tutor

Countdown

Pre-AP Resources

Study Island – Lesson 2e

Post-Test Performance Assessment as Take Home

Project- See Teacher-One Stop Disc

Supplement Word Problems from Previous

Adoption:

Uniform Motion, Consecutive Integers, Perimeter etc.

Go to the textbook website: http://www.thinkcentral.com/index.htm

Activity Generator

Animated Algebra

Video Tutor

Countdown

Pre-AP Resources

SB 2.1

Go to the textbook website: http://www.thinkcentral.com/index.htm

Activity Generator

Animated Algebra

Video Tutor

Countdown

Pre-AP Resources

SB 2.1

Include: Discrete & Continuous Functions pg. 227-

228.

Study Island – Lesson 2i

DW Test Item #s

1237,1816,1821,1826,1829,

1830,1831,5567,7983

5581,1836,1844,14401,8062

9,80626

80628, 131965

15

Days

1

2

Topic

Graph Using

Intercepts

Find Slope and

Rate of Change

2

Graph Using

Slope-Intercept

Form

Text

Section

4-3

4-4

4-5

Benchmarks

MA.912.A.3.8

,

MA.912.A.3.9

MA.912.A.3.9

,

MA.912.G.1.4

MA.912.A.3.7

,

MA.912.A.3.8

Vocabulary x-intercept, yintercept

Slope, Rate of

Change

Slope-Intercept

Form, Parallel

Week 8

Extensions/Resources

Use Geoboards with x and y axis to explore graphing intercepts.

SB 2.7

Make foldables to keep concepts involving slope organized.

SB 2.3

Use graphing calculators to explore graphing using slope-intercept form. Have students graph by hand after discussing explorations.

SB 2.6

DW Test Item #s

1908,96510

1889,5569,16136,17815,203

31,35070,82539

Days

2

Topic

1 Model Direct

Variation

Graph Linear

Functions

Text

Section

4-6

Benchmarks

MA.912.A.3.12

MA.912.A.2.12

4-7 MA.912.A.2.3

MA.912.A.3.12

Vocabulary

Direct Variation,

Constant of

Variation

Function

Notation, Family of Functions,

Parent Linear

Function

Week 9

Extensions/Resources

Demonstrate how the constant of variation changes the graph on the graphing calculators.

Go to the textbook website: http://www.thinkcentral.com/index.htm

Activity Generator

Animated Algebra

Video Tutor

Countdown

Pre-AP Resources

SB 2.7

16135

DW Test Item #s

16

Days

2

1

Topic

Write Linear

Equations in

Slope-Intercept

Form

Use Linear

Equations in

Slope-Intercept

Form

1 Write Linear

Equations in

Point-Slope Form

Text

Section

Benchmarks

5-1 MA.912.A.3.10

,

MA.912.G.1.4

5-2

5-3

MA.912.A.3.10

MA.912.A.3.8

,

MA.912.A.3.10

Week 10

Vocabulary Extensions/Resources y-intercept,

Slope, Slope-

Intercept Form y-intercept,

Slope, Slope-

Intercept Form

Modeling Linear Relationships activity on page

288.

SB 2.4, 2.6

Go to the textbook website: http://www.thinkcentral.com/index.htm

Activity Generator

Animated Algebra

Video Tutor

Countdown

Pre-AP Resources

SB 2.6, 2.8

Point-Slope Form Go to the textbook website: http://www.thinkcentral.com/index.htm

Activity Generator

Animated Algebra

Video Tutor

Countdown

Pre-AP Resources

DW Test Item #s

5583,96513,134214,1892,19

10

1908

17

Days

2

1

Topic

2 Write Linear

Equations in

Standard Form

Write Equations of Parallel and

Perpendicular

Lines

Fit a Line to Data

Text

Section

5-4

5-5

Benchmarks

MA.912.A.3.7

,

MA.912.A.3.10

MA.912.A.3.10

5-6

MA.912.A.3.11

Vocabulary

Standard Form

Converse,

Perpendicular

Lines,

Conditional

Statement

Scatter Plot,

Correlation, Line of Fit

Week 11

Extensions/Resources

Go to the textbook website: http://www.thinkcentral.com/index.htm

Teacher Tools Transparencies 5-4.

SB 3.2

Extension: Arithmetic Sequences pgs.315-316

Go to the textbook website: http://www.thinkcentral.com/index.htm

Animated Math: Slopes of Perpendicular and

Parallel Lines.

SB 3.4

Go to the textbook website: http://www.thinkcentral.com/index.htm

Animated Math: The Correlation of x and y.

SB 2.8

DW Test Item #s

96601,96511,132513,13395

5

1913,1921,1924,1930,2203,

5570,5582

141322,35095,19743,35089

18

Days

1

2

2

2

1

Topic

Predict with

Linear Models

Chapter 5 Review and Assessment

Solve Inequalities using Addition and Subtraction

Solve Inequalities using

Multiplication and Division

Solve Multi-Step

Inequalities

Text

Section

5-7

6-1

6-2

6-3

Benchmarks

MA.912.A.3.11

Best-Fitting

Line, Linear

Regression,

Interpolation

Extrapolation,

Zero of a

Function.

Week 12 and 13

Vocabulary Extensions/Resources

Go to the textbook website: http://www.thinkcentral.com/index.htm

Teacher Resources, Alternate Opener 5-7.

SB 2.8

Post-Test Performance Assessment as Take Home

Project- See Teacher-One Stop Disc

Study Island – Lesson 2h

Understanding Math, under Understanding

Equations, Solving Inequalities.

SB 1.6

Study Island – Lesson 2f

MA.912.A.3.4

Graph of an

Inequality,

Equivalent

Inequalities,

Inequality,

Solution of an

Inequality

MA.912.A.3.4

Solve

Inequalities

Using

MA.912.A.3.4

MA.912.A.3.5

Multiplication and Division

Inequality

Understanding Math, under Understanding

Equations, Solving Inequalities.

SB 1.6

Understanding Math, under Understanding

Equations, Solving Inequalities.

SB 1.6

DW Test Item #s

82540

1064,127592,16113,16164,

96639,131381,131419,1339

98

96640,134199,20518,14429

1257593,127594,20257,203

17,96641,131427,134001,8

0990,14398

19

Days Topic

Solve Compound

Inequalities

2

Text

Section

6-4

2

2

1

Solve Absolute

Value Equations

Solve Absolute

Value Inequalities

Graph Linear

Inequalities in

Two Variables

6-5

6-6

6-7

Benchmark

Week 14 and 15

Vocabulary Extensions/Resources

MA.912.A.3.4

MA.912.A.3.5

MA.912.A.3.6

, Compound

Inequality

Absolute Value

Equation,

Absolute

Deviation,

Absolute Value

MA.912.A.3.6

Absolute Value,

Equivalent

Inequalities,

Compound

Inequality,

Absolute

Deviation, Mean

MA.912.A.3.12

Linear Inequality in two Variables,

Graph of an

Inequality in two Variables

Go to the textbook website: http://www.thinkcentral.com/index.htm

Animated Algebra, Sound Amplification or

Compound Inequalities, 6-4.

SB 1.6

Understanding Math, Under Understanding

Equations, Solving Absolute Value Equations.

SB 1.7

Lab on Absolute Value Functions on page 405.

Go to the textbook website: http://www.thinkcentral.com/index.htm

Teacher Tools Transparencies, 6-6.

SB 1.7

Go to the textbook website: http://www.thinkcentral.com/index.htm

Animated Algebra: Graphing Linear Inequalities in

Two Variables.

SB 3.3

Study Island – Lesson 2k

DW Test Item #s

80611,1896,5585,16115,165

63,20259,20319,

5565

35166, 80603

20523,80635,80622,134014,

134023,134222

Days

2

Topic

Chapter 6 Review and Assessment

Solve Linear

Systems by

Graphing

Text

Section

Benchmarks

7-1 MA.912.A.3.13

MA.912.A.3.14

,

1

20

Week 16

Vocabulary Extensions/Resources

System of

Linear

Equations,

Solution of a

System of Linear

Equations,

Consistent

Independent

System

Post-Test Performance Assessment as Take Home

Project- See Teacher-One Stop Disc

Go to the textbook website: http://www.thinkcentral.com/index.htm

Activity Generator: Solving Linear Systems Using

Tables.

SB 3.5

Study Island – Lesson 2l

DW Test

Item #s

80647,80637,81078,81079,1

31463,11284,16343,35323

Days

1

Topic

Solve Linear

Systems by

Substitution

1

2

Solve Linear

Systems by

Adding and

Subtracting

Solve Linear

Systems by

Multiplying First

Text

Section

Benchmarks

7-2 MA.912.A.3.14

,

MA.912.A.3.15

7-3

7-4

MA.912.A.3.14M

A.912.A.3.15

MA.912.A.3.14

Vocabulary

System of Linear

Equations

System of Linear

Equations

Least Common

Multiple

Week 17

Extensions/Resources

On page 446, Exploring Algebra Activity.

SB 3.6

Go to the textbook website: http://www.thinkcentral.com/index.htm

eWorkbook, 7-3.

SB 3.6

Go to the textbook website: http://www.thinkcentral.com/index.htm

Animated Math: Mixture Problems.

On page 470, Problem Solving Connections.

SB 3.6

DW Test

Item #s

1914,1917,2297,16220,1617

3,127613,127614,20273

1170,2300,96653,131441

1923,1928,20275

21

2

Days

1

1

Topic

Solve Special

Types of Linear

Systems

Solve Systems of

Linear

Inequalities

Chapter 7 Review and Assessment

Text

Section

Benchmark

7-5 MA.912.A.3.14M

A.912.A.3.15

7-6 MA.912.A.3.13M

A.912.A.3.15

Week 17-18

Vocabulary Extensions/Resources

Inconsistent

System,

Consistent

Dependent

System, System of Linear

Equations,

Parallel

System of Linear

Inequalities,

Solution of a

System of Linear

Inequalities,

Graph of a

System of Linear

Inequalities

Go to the textbook website: http://www.thinkcentral.com/index.htm

Additional Practice: Chapter Project.

SB 3.6

Pg. 485, Graphing Calculator Activity.

SB 3.7

Post-Test Performance Assessment as Take Home

Project- See Teacher-One Stop Disc

Days

5

Topic

Mid-Term Prep and Exams

Text

Section

Benchmark Vocabulary

Week 18-19

Extensions/Resources

DW Test

Item #s

20272,1926,7162,127615

16285,19045,20452,35321,9

6669,8357,80647,127617

DW Test

Item #s

22

Days

1

Topic

Apply Exponent

Properties

Involving Products

Text

Section

8-1

Benchmarks Vocabulary

Week 20

MA.912.A.4.1

Order of

Magnitude,

Power, Exponent,

Base

Extensions/Resources

Understanding Math, under Understanding

Exponents, Exponent Rules.

SB 4.1

DW Test Item #s

1165,1182,1934,1935,1937,

2009,2165,2172,96671,1042

97,131694,127618,131700,7

9906

96384,96385,96672,96675,9

6677,104301,131697,13170

1,131706,1943

2

Apply Exponent

Properties

Involving

Quotients

8-2 MA.912.A.4.1

Power, Exponent,

Base

Understanding Math, under Understanding

Exponents, Exponent Rules.

SB 4.1

Days Topic

2

Define and Use

Zero and Negative

Exponents

1 Use Scientific

Notation

Text

Section

8-3

8-4

Benchmarks

MA.912.A.4.1

Vocabulary

Reciprocal

MA.912.A.1.1

,

MA.912.A.1.4

Scientific

Notation

Week 21

Extensions/Resources

On Pg. 518, Exploring Algebra Activity.

SB 4.1

2 Write and Graph

Exponential

Growth Functions

8-5 MA.912.A.2.3

,

MA.912.A.2.13

Exponential

Function,

Exponential

Growth,

Compound

Interest

DW Test Item #s

16702,20281,20287,34952,9

6389,96678

On Pg. 535, Graphing Calculator Activity.

SB 4.1

Go to the textbook website: http://www.thinkcentral.com/index.htm

Animate d Math: Write and Graph Exponential Growth

Functions.

SB 4.2

94480,5699,13244,14348,14

395,19012,22489,34941,351

61,96387

164365

23

Days

1 Write and Graph

Exponential Decay

Functions

2

1

1

Topic

Chapter 8 Review and Assessment

Add and Subtract

Polynomials

Multiply

Polynomials

Text

Section

8-6

9-1

9-2

Benchmark

Week 22-23

Vocabulary Extensions/Resources

MA.912.A.2.3

MA.912.A.2.13

MA.912.A.4.2

, Exponential Decay Pg. 546, Exploring Algebra Activity.

SB 4.2

Extension: Geometric Sequences pgs.555-556

Monomial, Degree,

Polynomial,

Leading

Coefficient,

Binomial, Trinomial

MA.912.A.4.2

Polynomial,

Binomial

Post-Test Performance Assessment as Take

Home Project- See Teacher-One Stop Disc

On Pg. 578, Graphing Calculator Activity.

SB 4.4

Study Island – Lesson 2o

On Pg. 579, Exploring Algebra Activity.

SB 4.5

DW Test Item #s

1046,1051,1177,1178,1179,

1960,1962,1964,17744,6163

1,79933,96673

1057,1966,1968,14353,1439

2,14399,18988,18994,22482

,34715,1181,14352,14392,2

0299,16157

Days Topic

1 Find Special

Products of

Polynomials

Text

Section

9-3

Week 23

Benchmarks Vocabulary Extensions/Resources

MA.912.A.4.2

Binomial, Trinomial Go to the textbook website: http://www.thinkcentral.com/index.htm

Under Tools, use on-line Algebra tiles to demonstrate.

SB 4.5

DW Test Item #s

1183,1972,1976

24

2 Solve Polynomial

Equations in

Factored Form

9-4 MA.912.A.1.8

,

MA.912.A.4.3

MA.912.A.4.3

,

MA.912.A.7.2

Roots, Vertical

Motion Model

Go to the textbook website: http://www.thinkcentral.com/index.htm

Video Tutor, Solve Polynomial Equations in

Factored Form.

SB 4.6

Zero of a Function On Pg. 600, Exploring Algebra Activity.

SB 4.6

1184,1185,2132,16191

2 Factor x 2 + bx + c 9-5 2079,2081,2233,2084,2086,

20360

Days

2 ax 2

1

Topic

+ bx + c

Factor Special

Products

2 Factor

Polynomials

Completely

2 Chapter 9 Review and Assessment

Text

Section

9-6

9-7

9-8

Benchmarks

MA.912.A.4.3

,

MA.912.A.7.2

MA.912.A.4.3

MA.912.A.7.2

MA.912.A.4.3

MA.912.A.7.2

Week 24

Vocabulary

Trinomial

Perfect Square

Trinomial

Factor by Grouping,

Factor Completely

Extensions/Resources DW Test Item #s

Go to the textbook website: http://www.thinkcentral.com/index.htm

Animated Math: Modeling the Factorization of ax 2 + bx + c.

SB 4.7

Go to the textbook website: http://www.thinkcentral.com/index.htm

eWorkbook, 9-7.

SB 4.6

Go to the textbook website: http://www.thinkcentral.com/index.htm

Video Tutor with Practice 9-8.

SB 4.6

Post-Test Performance Assessment as Take

Home Project- See Teacher-One Stop Disc

Additional Word Problems from Chapter 4 of previous adoption (McDougal Littel).

2013,16192

96699,104305,127623

104303,16233

25

Days

2

Topic

Graph y = ax 2 + c

Text

Section

10-1

10-2

Benchmarks

MA.912.A.7.1

MA.912.A.7.6

MA.912.A.7.1

,

MA.912.A.7.6

Vocabulary

Week 25

Quadratic Function,

Parabola, Parent

Quadratic Function,

Vertex, Axis of

Symmetry

Minimum Value,

Maximum Value

Extensions/Resources

Go to the textbook website: http://www.thinkcentral.com/index.htm

Animated Math: A Falling Object Model.

SB 5.2

On Pg. 655, Exploring Algebra Activity.

SB 5.3

Study Island – Lesson 2r

2

Graph y = ax 2 + bx + c

Days Topic

2

Solve Quadratic

Equations by

Graphing

1 Use Square Roots to Solve Quadratic

Equations

Text

Section

10-3

Benchmarks

MA.912.A.7.6

,

MA.912.A.7.10

Vocabulary

Week 26

Quadratic Equation, x-intercept, Zero of a Function, Roots

Extensions/Resources

On Pg. 672, Graphing Calculator Activity.

SB 5.3

10-4

2 Solve Quadratic

Equations by

Completing the

Square

10-5

MA.912.A.7.8

MA.912.A.7.2

,

MA.912.A.7.8

Square Root, Perfect

Square

Completing the

Square, Perfect

Square Trinomial

Go to the textbook website: http://www.thinkcentral.com/index.htm

Under Teacher Resources, Problem Solving

Workshop:

Mixed Problem Solving.

SB 5.4

Go to the textbook website: http://www.thinkcentral.com/index.htm

Animated Math:

Modeling Completing the Square.

SB 5.4

DW Test Item #s

16133,35317,81199

2137,2140,127645,80664,81

200,81202,81203,81204,820

7,17817,81208,81209,16261

, 96689,127639

DW Test Item #s

1184,1185,2132,16191

2011,16187,81251,81254,81

255

2 Compare Linear,

Exponential, and

Quadratic Models

10-8 MA.912.A.2.3

MA.912.A.2.13

Linear Function,

Exponential

Function, Quadratic

Function

On Pg. 714, Graphing Calculator Activity.

Graphing Quadratic Functions in Vertex Form pg. 691-692.

14368, 35082

Days

2

Topic

Solve Quadratic

Equations by the

Quadratic Formula

Text

Section

10-6

1 Interpret the

Discriminant

10-7

Vocabulary

Week 27

Benchmarks Extensions/Resources

MA.912.A.7.2

Quadratic Formula Understanding Math, under Understanding

Graphing, Quadratic Functions. To use for illustration.

SB 5.4

MA.912.A.7.8

Discriminant Go to the textbook website: http://www.thinkcentral.com/index.htm

Video Tutor: 10-7.

SB 5.4

Emphasize this concept as a tool to verify

results.

DW Test Item #s

2110,1174,81252,81253

1175,1176,1997

Benchmark Vocabulary

Week 28

Extensions/Resources DW Test Item #s Days Topic

2 Chapter 10 Review and Assessment

Text

Section

Post-Test Performance Assessment as Take

Home Project- See Teacher-One Stop Disc

Suggest – Students begin creating study guide for EOC.

Study Island – Lesson 2s

26

27

Days Topic

2 Graph Square Root

Functions

Text

Section

11-1

2 Simplify Radical

Expressions

11-2

Benchmark

Weeks 28-29

Vocabulary

MA.912.A.2.4

Radical Expression,

Radical Function,

Square Root

Function, Parent

Square Root

Function

MA.912.A.6.1

MA.912.A.6.2

Simplest Form of a

Radical Expression,

Rationalizing the

Denominator SB 4.3

Extensions/Resources

Go to the textbook website: http://www.thinkcentral.com/index.htm

Go to the textbook website: http://www.thinkcentral.com/index.htm

Animated Algebra: Simplifying Radicals.

Study Island – Lesson 2q

Under Videos and Activities, use the graphing calculator in the tool box to demonstrate.

SB 4.3

DW Test Item #s

16190,2097,2098,1172,2097

,2224

Benchmark

Weeks 29-30

Vocabulary Extensions/Resources DW Test Item #s Days Topic

2 Solve Radical

Equations

2 Apply the

Pythagorean

Theorem and Its

Converse

1 Apply the Distance and Midpoint

Formulas

2 Chapter 11 Review and Assessment

Text

Section

11-3

11-4

11-5

MA.912.A.6.5

Radical Expression,

Extraneous Solution

MA.912.G.5.1

Hypotenuse, Legs of a Right Triangle,

Pythagorean

Theorem

MA.912.G.1.1

Distance Formula,

Midpoint, Midpoint

Formula

On Pg. 759, Problem Solving Connections.

Understanding Math, under Understanding

Exponents, Pythagorean Theorem.

On Pg. 767, Exploring Algebra Activity.

Post-Test Performance Assessment as Take

Home Project- See Teacher-One Stop Disc

Students continue working on EOC Study

Guide

2107, 7267

2095, 22474

1936,16693,1149,1772,2238

,2277,6093,7113

2 Flex Days

Days Topic

5 Standards

Review and

Practice

4 FCAT WEEK

Text

Section

Benchmark

FCAT 2.0 for 8 th

Grade Students

Weeks 31-32

Vocabulary Extensions/Resources

FCAT 2.0 for 8 th

Grade Students

Students continue working on EOC

Study Guide

Days Topic

2 Model Inverse

Variation

2 Graph Rational

Functions

Text

Section

12-1

12-2

Benchmark

Week 32-33

Vocabulary Extensions/Resources

MA.912.A.2.4

Inverse Variation,

Constant of Variation,

Hyperbola, Branches of a Hyperbola,

Asymptotes of a

Hyperbola

MA.912.A.2.3

Rational Function,

Hyperbola, Branches of a Hyperbola,

Asymptotes of a

Hyperbola

Go to the textbook website: http://www.thinkcentral.com/index.ht

m

Animated Math: Direct and Inverse

Variation.

Go to the textbook website: http://www.thinkcentral.com/index.ht

m

Video Tutor with Practice: 12-2.

DW Test Item #s

DW Test Item #s

28

Days

2

Topic

2 Divide

Polynomials

2 Simplify

Rational

Expressions

Multiply and

Divide Rational

Expressions

Text

Section

12-3

12-4

12-5

Benchmark

Weeks 33-34

Vocabulary Extensions/Resources DW Test Item #s

MA.912.A.4.4

Monomial,

Polynomial, Binomial,

Rational Function

MA.912.A.5.1

Rational Expression,

Excluded Value,

Simplest Form of a

Rational Expression

MA.912.A.5.2

Multiplicative Inverse,

Polynomial, Rational

Expression

On Pg. 818, Graphing Calculator

Activity.

Go to the textbook website: http://www.thinkcentral.com/index.ht

m eWorkbook 12-4.

SB 4.8

Study Island – Lesson 2p

On Pg. 838, Focus on Operations

SB 4.8

16186, 1054

1990

29

Days Topic

2 Add and

Subtract

Rational

Expressions

2 Solve Rational

Equations

2 Chapter 12

Review and

Assessment

Text

Section

12-6

12-7

Benchmark

Week 35

Vocabulary

MA.912.A.5.2

Least Common

Denominator of

Rational Expressions

Extensions/Resources

Go to the textbook website: http://www.thinkcentral.com/index.ht

m

Animated Math: Add and Subtract

Rational Expressions

SB 4.8

On Pg. 855, Problem-Solving Workshop. MA.912.A.5.5

MA.912.A.5.7

Rational Equation,

Cross Product,

Extraneous Solution,

Least Common

Denominator of

Rational Expressions

Post-Test Performance Assessment as

Take Home Project- See Teacher-One

Stop Disc

Students continue working on EOC

Study Guide

DW Test Item #s

30

31

Days Topic

5 EOC Prep

1 End of Course

Exam

(May 16)

5 + Project

**See resources at the end of the pacing guide

Text

Section

5/21-

5/25?

Benchmark

Week 36 through the end

Vocabulary Extensions/Resources DW Test Item #s

In addition to a project or projects, teachers are encouraged to review areas that students found particularly challenging, as well as topics which will help them succeed in geometry (proportional reasoning, analytic geometry, etc.), leading to a Culminating Test during final exam time. There will be no CCPS District

Final Exam.

**For the end of course project, please use a project of your choosing, either from your own library, the CCPS Gifted Website, or from the resources listed below. This should be designed to allow students the opportunity to create and collaborate. Student-teacher, student-student and student-resource interaction is encouraged, for the purpose of developing higher order thinking skills.

Project and Webquests

Algebra websites: http://www.thefutureschannel.com/algebra_real_world.php

www.education.ti.com

www.mathnspired.com

http://www.education.com/ http://www.pbs.org/teachers http://bestwebquests.com/ http://kathyschrock.net/webquests/COLARUSSO/NEWCAR.HTML

http://www.glencoe.com/sec/math/algebra/algebra1/algebra1_05/webquest/index.php4/na http://mathbits.com/MathBits/MathMovies/MathMovies.htm

http://www.mathprojects.com/

32

Higher-Order Thinking Questions by Lesson:

Chapter 1

1-1 Evaluating Expressions

 Can you describe the steps needed to simplify an algebraic expression?

1-2 Applying Order of Operations

 Why do the Order of Operations exist?

1-3 Writing Expressions

 What clues are given in verbal descriptions that enable you to develop an algebraic expression?

1-4 Writing Equations and Inequalities

 How do equations and inequalities differ from algebraic expressions?

1-5 Use a Problem Solving Plan

 What step would you add to the problem solving plan on page 28 that would assist you in solving word problems or verifying your responses?

1-6 Represent Functions as Rules and Tables

 How do you determine if a relation is function?

1-7 Represent Functions as Graphs

 Can you specify the purpose behind the four different methods to represent a function? i.e. verbally, graphically, in a table, or an equation

Chapter 2

2-1 Use Integers and Rational Numbers

 Can you describe the attributes of the numbers in the Real Number System?

2-2 Add Real Numbers

 How can you tell if two numbers when added will result in an answer of zero?

2-3 Subtract Real Numbers

 How do you determine if the result of subtracting two numbers will be negative?

2-4 Multiply Real Numbers

 How is the commutative property different from the associative property?

2-5 Apply the Distributive Property

 Why is the distributive property sometimes needed to simplify some expressions i.e. why not use the order of operations? Support your response with examples.

2-6 Divide Real Numbers

 What is the difference between a response of zero and one that is undefined when dividing two numbers?

2-7 Find Square Roots and Compare Real Numbers

 How do you tell if a square root will result in a rational or irrational number without calculating?

Chapter 3

3-1 Solve One-Step Equations

 How are the properties involving equality used to solve one-step equations?

33

3-2 Solve Two-Step Equations

 Why is it efficient to solve two-step equations inversely in reverse order?

3-3 Solve Multi-Step Equations

 What benefit are there to multiplying an equation by a reciprocal first to solve an equation?

3-4 Solve Equations with Variables on Both Sides

 What is the difference between the response of “no solution” and “identity”?

3-5 Writing Ratios and Proportions

 What methods can be used to check if two ratios form a proportion?

3-6 Solving Proportions Using Cross Products

 How are cross products used to simplify a proportion to an equation?

3-7 Solving Percent Problems

 How many methods can you describe to find the percent of a number? Is one method more efficient than the other?

 Why do we transform equations?

Chapter 4

4-1 Plotting Points in a Coordinate Plane

 How are the coordinate plane and a world map similar?

4-2 Graphing Linear Equations

 How do the equations of vertical and horizontal lines differ? Why?

 What is the difference between a discrete and continuous function?

4-3 Graphing Using Intercepts

 Many real world situations can be modeled by linear equations, what benefits are there to graphing these equations using the intercepts?

 Can a graph of a liner function have more than one x or y intercept?

4-4 Find Slope and Rate of Change

 What can you conclude if the slope of a line is zero? Undefined? Positive? Negative?

 Is the slope of a linear function always constant? Why?

4-5 Graph Using Slope-Intercept Form

 Why is using the slope-intercept form of a linear equation an efficient method for graphing the function?

 How can you tell if two non-vertical lines are parallel?

 How can you tell if two non-vertical lines are parallel?

4-6 Model Direct Variation

 When looking at the graph of a linear function, how can you tell if it is a direct variation?

 What is the relationship between slope and the constant of variation?

4-7 Graph Linear Functions

 What is function notation?

 The domain of a function consists of the values of x for which the function is __________ . (defined)

Chapter 5

5-1 Write Linear Equations in Slope-Intercept Form

 What information is required to write an equation in slope-intercept form?

 If a line passes through the points (5, -7) & (5, 2) is it possible to write an equation for the line is slope-intercept form?

5-2 Use Linear Equations in Slope-Intercept Form

 How do you decide if three or more points are collinear?

 How do you write an equation of a line in slope-intercept form given a table of values? A graph? Two ordered pairs?

5-3 Write Linear Equations in Point-Slope Form

 What is the purpose of different forms of linear equations?

 How is using the point-slope form to graph an equation similar/different to using slope-intercept form?

5-4 Write Linear Equations in Standard Form

 What purpose is there to writing a linear equation is standard form?

Why can A or B not equal zero in when an equation is written in standard form?

 What is the value of C for all direct variation equations written in standard form?

5-5 Write Equations of Parallel and Perpendicular Lines

 How can you tell if two non-vertical lines are parallel?

 What is the relationship with regards to slope for lines that are perpendicular?

 What is the relationship with regards to slope for lines that are parallel?

 Is it possible for two perpendicular lines to share the same y-intercept?

 If two lines are neither parallel nor perpendicular, what two statements can be made about the slope of the lines?

5-6 Fit Line to Data

 What is the purpose of a scatterplot?

 How do you draw a line of best fit (linear regression)?

 Can you describe the difference between sets of data that show a positive trend, negative trend, and no trend (relatively no correlation)?

What relationship exists between the correlation coefficient and the slops of the line of best fit?

5-7 Predict with Linear Models

 What is a linear extrapolation?

 What is the zero of a function?

Chapter 6

6-1 Solve Inequalities Using Addition and Subtraction

 How are solving one-step inequalities similar to solving one-step equations? How are they different?

 How do graph solutions for the different inequality symbols?

6-2 Solve Inequalities Using Multiplication and Division

 How can one inequality be written two different ways?

 How do graph solutions for the different inequality symbols?

What impact does the negative coefficient have on the solution for the inequality?

6-3 Solve Multi-Step Inequalities

34

 Is the process for finding the range of solutions for an inequality similar to solving a multi-step equation?

6-4 Solve Compound Inequalities

 What is the difference between compound inequalities and singular inequalities?

 How do the graphs of unions and intersections differ?

 What real world applications can compound inequalities model?

6-5 Solve Absolute Value Equations

 How do you solve absolute value equations?

 Why do you need to rewrite absolute value equations as two equations?

 What is the purpose of absolute deviation and how do you calculate it?

6-6 Solve Absolute Value Inequalities

 What is one real world application for absolute value inequalities?

 What process do you use to solve absolute value inequalities?

6-7 Graph Linear Inequalities in Two Variables

 What does the boundary line represent?

 What methods can be used to determine which side of the boundary line contains the solutions for the linear inequality?

Chapter 7

7-1 Solve Linear Systems by Graphing

 How do you determine the solution for a system of equations that have been graphed?

 Could the solution to a system of equations be found by examining a table of values for each equation in the system?

 What is an example of an independent system of linear equations written in slope-intercept?

 What is an example of an dependent system of linear equations written in slope-intercept?

 What is an example of an inconsistent system of linear equations written in slope-intercept?

7-2 Solve Linear Systems by Substitution

 Describe the process for solving a system of equations by substitution?

 Is this method more efficient than graphing the system? Why or Why not?

What types of real world situations can you model using systems of equations?

7-3 Solve Linear Systems by Adding and Subtracting

 How is the substitution method embedded in the elimination method for solving the system of equations?

 When writing a system of equations for a given situation what impact does current or wind have on the formats of the equations?

What types of real world situations can you model using systems of equations?

7-4 Solve Linear Systems by Multiplying First

 Why is it necessary to multiply one or more of the equations in the system by a constant?

 How do you determine which method for solving a system is the most efficient?

 Can you use one method for solving a system to verify your results for another method?

What types of real world situations can you model using systems of equations?

7-5 Solve Special Types of Linear Systems

 Is it possible to have a system of equations with no solution? One solution? Infinite number of solutions?

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 How does the study of slope for each equation in the system lead to a determination of number of solutions for the system?

 What is the difference between an inconsistent system of equations and a consistent system of equations?

7-6 Solve Systems of Linear Inequalities

 How do you find the solution region for a system of linear inequalities?

 Can the solution to a system of equations be listed explicitly?

Chapter 8

8-1 Apply Exponent Properties Involving Products

 Compare and contrast the Product of Powers Property, the Power of a Power of a Power Property and the Power of a Product Property.

 What is the purpose of the order of magnitude? What is it based on?

8-2 Apply Exponent Properties Involving Quotients

 Compare and contrast the Quotient of Powers Property and the Powers of a Quotient Property.

8-3 Define and Use Zero and Negative Exponents

 Can zero raised to a negative exponent be defined?

 Is changing the position of a number with a negative exponent the same as writing the expression as a reciprocal? Why or why not?

8-4 Use Scientific Notation

 What base number is scientific notation based on? Why was this notation developed?

 How do the exponent rules impact calculations involving scientific notation?

8-5 Write and Graph Exponential Growth Functions

 How do the range values differ between linear functions and exponential growth function?

 How does the exponential growth model compare with the compound interest formula?

8-6 Write and Graph Exponential Decay Functions

 How do the range values differ when examining exponential growth versus exponential decay?

 How do you calculate depreciation?

Chapter 9

9-1 Add and Subtract Polynomials

 What role does like terms play; if any, as you add and subtract polynomials?

 What criteria dictate if an expression is a polynomial?

9-2 Multiply polynomials

 What methods can you use to multiply polynomials? When is it appropriate to use one method over another?

9-3 Find Special Products of Polynomials

 What happens to the middle terms when you find the product using the sum and difference pattern?

 What happens to the middle term when you find the square a binomial?

 How does recognizing patterns encourage efficiency when multiplying certain binomials?

9-4 Solve Polynomial Equations in Factored Form

 What is the zero product property? How is it used to solve polynomial equations?

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 What are roots?

 How is the vertical motion model used to solve problems? What elements impacting motion does it ignore?

9-5 Factor x 2 + bx + c

 What do b and c represent in x 2 + bx + c? How do the signs of b and c affect the binomial factors?

9-6 Factor ax 2 + bx + c

 What do a, b, and c represent in ax 2 + bx + ? How do the signs of a,b, & c affect the binomial factors?

 Why should you factor negative one from a polynomial expression if a is negative?

9-7 Factor Special Products

 How does recognizing patterns from multiplication of binomials assist you in factoring special products?

 If working with a polynomial that has fractional coefficients what process will assist you in factoring the polynomial?

9-8 Factor Polynomials Completely

 How does the distributive property used to factor by grouping?

 What are the steps to factoring a polynomial completely?

Chapter 10

10-1 Graph y = ax 2 + c

 How do you determine whether a parabola has a minimum or maximum point?

 What impact does the coefficient of x 2 have on the direction of the parabola?

 Describe the process for graphing a parabola of the form y = ax 2 + c.

 How do changes in the value of c impact the location of the parabola on the y-axis?

10-2 Graph y = ax 2 + bx + c

 How do changes in the value of b impact the location of the parabola on the coordinate plane?

 What purpose does finding the axis of symmetry serve?

 What impact does the absolute value of a have on the width of the parabola?

10-3 Solve Quadratic Equations by Graphing

 How do you find the roots of a quadratic equation by graphing?

 How would you describe the solution if the graph doesn’t intersect the x-axis?

 How many solutions are possible to find for a quadratic equation?

10-4 Use Square Roots to Solve Quadratic Equations

 How does the value of d in x 2 = d alter the number of solutions for the quadratic equation?

 When is it most efficient to use the square root method for solving a quadratic equation?

10-5 Solve Quadratic Equations by Completing the Square

 Describe the process for solving equations by completing the square.

 When is it most efficient to use the completing the square method for solving a quadratic equation?

 What role does factoring play in the completing the square method?

10-6 Solve Quadratic Equations by the Quadratic Formula

 What role does the order of operations play in using the quadratic formula to solve equations?

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 Consider the five methods you have learned to solve quadratic equations, how do you know when to use which method?

10-7 Interpret the Discriminant

 The discriminant provides what vital information about a quadratic equation?

 How can know the discriminant assist you in verifying you have solved an equation correctly?

10-8 Compare Linear, Exponential, and Quadratic Models

 What methods can you use to discern whether a list of ordered pairs represents a linear, quadratic, or exponential function?

Chapter 11

11-1 Graph Square Root Functions

 How do determine if a square root function is a stretch, shrink and/or a reflection as compared to the parent function?

11-2 Simplify Radical Expressions

 What process do you use to simply expression involving radicals?

 Why does rationalizing the denominator not alter the value of the expression?

 How are operations with radicals similar to working with rational numbers? Why?

11-3 Solve Radical Equations

 When arriving at a solution for a radical equation why are some solutions considered extraneous?

11-4 Apply the Pythagorean Theorem and its Converse

 How can the methods learned to solve quadratic equations be used to find the missing lengths of a right triangle?

 How do prove whether a triangle is a right triangle?

11-5 Apply the Distance and Midpoint Formulas

 Is the distance formula a transformation of the Pythagorean Theorem? Support your response.

 What purpose does the midpoint formula serve? Can you think of a unit of study in math where finding the midpoint of a line segment would be important?

Chapter 12

12-1 Model Inverse Variation

 How do you determine if an equation is an inverse variation, direct variation, or neither?

 How do changes in the value of the constant of variation impact the location of the graph on the coordinate plane?

12-2 Graph Rational Functions

 How do you find the domain and range of a rational function?

12-3 Divide Polynomials

 When do you know to perform long division or write division as a fraction when dividing polynomials?

 Can you identify the quotient, divisor, dividend, and remainder? What is the appropriate form for stating a response to long division with a remainder?

12-4 Simplify Rational Expressions

 Why are there excluded values?

 What role does factoring paly in simplifying rational expressions?

12-5 Multiply and Divide Rational Expressions

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 Can rational expression be evaluated using the same rules as used when working with rational numbers? Why or Why not?

12-6 Add and Subtract Rational Expressions

 How and why do you identify the least common denominator?

12-7 Solve Rational Expressions

 Can all rational equations be solved using cross products? Why or Why not?

 Why do all solutions need to not violate the restrictions on the variable?

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