Curriculum and Pacing Guide Mathematics: Algebra I Honors

1
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
-Editable lesson plans and worksheets
-Lesson transparencies
-Powerpoint Presentations
-Leveled practice worksheets
-IDEA Works! Modified worksheets, quizzes,
And test for special needs students
-Interactive Quizzes and Tests
For Students
-Student Edition
-Video Tutor w/Practice
-Animated Algebra
-@HomeTutor Online
-Extra practice broke out by lesson and chapter
-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
2
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)
Note: H.O.T. Questions
 Are you able to use statements with and or or? (Ch.6)
end of this document.
 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)
(by lesson) are located at the
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
4
Course Overview: Quarter 1
WEEK
1-2
3-4
5 -7
7-9
Concepts
Number of Days/Calendar Events
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
10 Days
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
12 Days
9 Days
12 Days
5
Course Overview: Quarter 2
WEEK
10-13
13-16
16-17
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
6
Course Overview: Quarter 3
WEEK
20-22
22-24
25- 28
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 x2 + bx + c
9-6 Factor ax2 + bx + c
9-7 Factor Special Products
9-8 Factor Polynomials Completely
Assessment
10-1 Graph y = ax2 + c
10-2 Graph y = ax2 + 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
7
Course Overview: Quarter 4
WEEK
29 -30
31-32
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
Date Completed / Notes
11 Days
9-10 Days
16 Days
32-35
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
15 Days
36-39
8
Algebra 1 Honors – High School Course Number: 1200320
Materials: Holt McDougal Larson Algebra 1
Chapter 1: Expressions, Equations, and Functions
Week 1
Days
Topic
1
Introduction/
Prerequisite
Skills
1
Evaluate
Expressions
1
1
1
Apply Order
of
Operations
Text
Section
Benchmarks
Vocabulary
Extensions/Resources
DW Test Item #s
Scavenger Hunt
Pg. xix
1-1
MA.912.A.1.1
MA.912.A.1.4
1-2
MA.912.A.1.4
Write
Expressions
1-3
MA.912.A.1.5
Write
Equations
and
Inequalities
1-4
Variable,
Algebraic
Expression,
Power, Base,
Exponent,
Order of
Operations
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
Verbal Model,
Rate, Unit Rate
Go to the textbook website:
http://www.thinkcentral.com/index.htm
Under Videos and Activities, Animated Math 1-3
SB 1.1
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
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
9
Week 2
Days
1
1
1
Topic
Use a Problem
Solving Plan
Text
Benchmarks
Section
1-5
MA.912.A.10.1
Represent
Functions as Rules
and Tables
1-6
Represent
Functions as
Graphs
1-7
2
Chapter 1 Review
and Assessment
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
Vocabulary
Formula
Function,
Domain, Range,
Independent
Variable,
Dependent
Variable
Function,
Domain, Range
Extensions/Resources
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
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
DW Test Item #s
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
1849,8017,14368,133710,96
590,80437,80438,16235,143
85,1850,16284,16132
10
Week 3
Text
Section
2-1
Benchmarks
Vocabulary
MA.912.D.7.2
Whole Numbers,
Integers, Rational
Numbers,
Opposites,
Absolute Value,
Conditional
Statement
Understanding Math, Under Whole Numbers and
Integers
SB 1.7
16104,61643,20311
Add Real
Numbers
2-2
MA.912.A.3.2
Additive Identity,
Additive Inverse
1807,61578,61581,61587
Subtract Real
Numbers
2-3
Multiply Real
Numbers
2-4
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.
Days
Topic
1
Use Integers and
Rational Numbers
1
1
1
Opposites
MA.912.A.1.4
MA.912.A.3.2
Multiplicative
Identity
Extensions/Resources
Use animated algebra (Skydiver in Free Fall),
available on the textbook website.
SB 1.3
DW Test Item #s
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
Week 4
Days
1
1
1
2
Topic
Text
Section
2-5
Apply The
Distributive
Property
MA.912.A.3.2
Divide Real
Numbers
2-6
Find Square Roots
and Compare Real
Numbers
2-7
Chapter 2 Review
and Assessment
Benchmarks
MA.912.A.1.4
MA.912.A.1.1M
A.912.A.1.2
Vocabulary
Extensions/Resources
Equivalent
Expressions,
Distributive
Property, Term,
Coefficient,
Constant Term,
Like Terms
Multiplicative
Inverse,
Reciprocal, Mean
Use animated algebra (Skydiver in Free Fall),
available on the textbook website.
SB 1.3
Square Root,
Radicand, Perfect
Square, Irrational
Number, Real
Numbers
Understanding Math, under Understanding
Exponents, Square Roots.
SB 1.2
DW Test Item #s
35099,726,104282,13467,18
57,13456,16098,16167,1623
7,20251
Study Island – Lesson 2d
Algebra 1 Best Practices Toolkit
SB 1.3
Extension – Cube Roots pg. 117-118
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.
2259,1858,2187,2189,2248,
61546,61608,61613,61617,1
999
708,1782,1792,1796,61558,
61560,13219,622,5591,
12
Week 5
Days
1
1
Topic
Solve One-Step
Equations
Solve Two-Step
Equations
Text
Section
3-1
3-2
Benchmarks
MA.912.A.3.1
MA.912.A.3.2
MA.912.A.3.1
Vocabulary
Extensions/Resources
DW Test Item #s
Inverse
Operations,
Equivalent
Equations,
Reciprocal
Use Balance Scale to illustrate solving one-step
equations.
SB 1.4
16105,3824,3953,19739
Like Terms,
Input, Output
Go to the textbook website:
http://www.thinkcentral.com/index.htm
Activity Generator
Animated Algebra
Video Tutor
Countdown
Pre-AP Resources
5539,16106,16107
MA.912.A.3.1,
SB 1.4, 1.5
2
Solve Multi-Step
Equations
3-3
MA.912.A.3.5
Like Terms,
Distributive
Property,
Reciprocal
SB 1.4, 1.5
Study Island – Lesson 2c
5586,20313,17555
13
Week 6
Days
1
Topic
Text
Section
Solve Equations
with Variables on
Both Sides
3-4
Write Ratios and
Proportions
Benchmarks
MA.912.A.3.1
MA.912.A.3.5
1
On the textbook website, IDEA Works!
3-5
MA.912.A.3.1,
MA.912.A.5.4
Ratio,
Proportion,
Simplest Form
Understanding Math, under Understanding
Percent, Ratios and Proportions.
3-6
MA.912.A.3.1
MA.912.A.5.4
Cross Product,
Scale Drawing,
Scale Model,
Scale
Percent,
Proportion
Understanding Math, under Understanding
Percent, Ratios and Proportions.
Solve Percent
Problems
2
Identity
Extensions/Resources
DW Test Item #s
1050,1067,2052,5566,1610,
1969
SB 1.5
1
Solve Proportions
Using Cross
Products
Vocabulary
MA.912.A.3.1
Understanding Math, under Understanding
Percent, Problems Involving Percent.
3-7
Include: Percent Change Lesson on pg. 185
2117,2120,2045,14279,2007
1,20072,20449,33345,33346
,82506,82510,2307,5705,57
13
*see above 3.5
8707,11614,35124
14
Week 7
Days
1
2
Text
Section
Rewrite Equations
3-8
and Formulas
Topic
Benchmarks
Vocabulary
Extensions/Resources
DW Test Item #s
MA.912.A.3.3
Literal Equation,
Formula
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
1237,1816,1821,1826,1829,
1830,1831,5567,7983
Chapter 3 Review
and Assessment
1
Plot Points in a
Coordinate Plane
4-1
MA.912.A.2.3,
MA.912.A.2.4
Quadrants,
Coordinate
Plane, Ordered
Pair
1
Graph Linear
Equations
4-2
MA.912.A.2.4,
MA.912.A.3.8
Quadrants,
Coordinate
Plane, Ordered
Pair
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. 227228.
Study Island – Lesson 2i
5581,1836,1844,14401,8062
9,80626
80628, 131965
15
Week 8
Days
1
2
2
Topic
Graph Using
Intercepts
Find Slope and
Rate of Change
Graph Using
Slope-Intercept
Form
Text
Section
Benchmarks
4-3
MA.912.A.3.8,
MA.912.A.3.9
4-4
4-5
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
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.
DW Test Item #s
1908,96510
1889,5569,16136,17815,203
31,35070,82539
SB 2.6
Week 9
Days
Topic
1
Model Direct
Variation
2
Graph Linear
Functions
Text
Section
4-6
4-7
Benchmarks
Vocabulary
MA.912.A.3.12
MA.912.A.2.12
Direct Variation,
Constant of
Variation
Function
Notation, Family
of Functions,
Parent Linear
Function
MA.912.A.2.3
MA.912.A.3.12
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
DW Test Item #s
16135
16
Week 10
Days
2
1
1
Topic
Write Linear
Equations in
Slope-Intercept
Form
Use Linear
Equations in
Slope-Intercept
Form
Write Linear
Equations in
Point-Slope Form
Text
Section
5-1
Benchmarks
MA.912.A.3.10,
MA.912.G.1.4
5-2
MA.912.A.3.10
Vocabulary
y-intercept,
Slope, SlopeIntercept Form
y-intercept,
Slope, SlopeIntercept Form
Extensions/Resources
Modeling Linear Relationships activity on page
288.
DW Test Item #s
5583,96513,134214,1892,19
10
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
5-3
MA.912.A.3.8,
MA.912.A.3.10
Point-Slope Form
SB 2.6, 2.8
Go to the textbook website:
http://www.thinkcentral.com/index.htm
Activity Generator
Animated Algebra
Video Tutor
Countdown
Pre-AP Resources
1908
17
Week 11
Days
2
2
1
Topic
Write Linear
Equations in
Standard Form
Text
Section
5-4
Benchmarks
Vocabulary
Standard Form
MA.912.A.3.7,
MA.912.A.3.10
Write Equations
of Parallel and
Perpendicular
Lines
5-5
Fit a Line to Data
5-6
MA.912.A.3.10
MA.912.A.3.11
Converse,
Perpendicular
Lines,
Conditional
Statement
Scatter Plot,
Correlation, Line
of Fit
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
Week 12 and 13
Days
Topic
Predict with
Linear Models
Text
Section
5-7
Benchmarks
MA.912.A.3.11
1
2
1
Best-Fitting
Line, Linear
Regression,
Interpolation
Extrapolation,
Zero of a
Function.
Chapter 5 Review
and Assessment
Solve Inequalities
using Addition
and Subtraction
6-1
MA.912.A.3.4
Solve Inequalities
using
Multiplication
and Division
6-2
MA.912.A.3.4
Solve Multi-Step
Inequalities
6-3
MA.912.A.3.4
MA.912.A.3.5
2
2
Vocabulary
Graph of an
Inequality,
Equivalent
Inequalities,
Inequality,
Solution of an
Inequality
Solve
Inequalities
Using
Multiplication
and Division
Inequality
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
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
Week 14 and 15
Days
Topic
Solve Compound
Inequalities
Text
Section
6-4
Benchmark
Vocabulary
6-5
Compound
Inequality
Go to the textbook website:
http://www.thinkcentral.com/index.htm
Animated Algebra, Sound Amplification or
Compound Inequalities, 6-4.
SB 1.6
80611,1896,5585,16115,165
63,20259,20319,
MA.912.A.3.6
Absolute Value
Equation,
Absolute
Deviation,
Absolute Value
Understanding Math, Under Understanding
Equations, Solving Absolute Value Equations.
SB 1.7
5565
Absolute Value,
Equivalent
Inequalities,
Compound
Inequality,
Absolute
Deviation, Mean
Linear Inequality
in two Variables,
Graph of an
Inequality in
two Variables
Go to the textbook website:
http://www.thinkcentral.com/index.htm
Teacher Tools Transparencies, 6-6.
SB 1.7
35166, 80603
Go to the textbook website:
http://www.thinkcentral.com/index.htm
Animated Algebra: Graphing Linear Inequalities in
Two Variables.
20523,80635,80622,134014,
134023,134222
2
Solve Absolute
Value Inequalities
6-6
MA.912.A.3.6
Graph Linear
Inequalities in
Two Variables
6-7
MA.912.A.3.12
2
1
DW Test Item #s
MA.912.A.3.4,
MA.912.A.3.5
2
Solve Absolute
Value Equations
Extensions/Resources
Lab on Absolute Value Functions on page 405.
SB 3.3
Study Island – Lesson 2k
20
Week 16
Days
2
Topic
Chapter 6 Review
and Assessment
Solve Linear
Systems by
Graphing
Text
Section
7-1
Benchmarks
MA.912.A.3.13,
MA.912.A.3.14
1
Extensions/Resources
DW Test
Item #s
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
80647,80637,81078,81079,1
31463,11284,16343,35323
Vocabulary
System of
Linear
Equations,
Solution of a
System of Linear
Equations,
Consistent
Independent
System
Week 17
Days
1
1
2
Topic
Solve Linear
Systems by
Substitution
Solve Linear
Systems by
Adding and
Subtracting
Solve Linear
Systems by
Multiplying First
Text
Benchmarks
Section
7-2
MA.912.A.3.14,
MA.912.A.3.15
7-3
7-4
Vocabulary
Extensions/Resources
System of Linear
Equations
On page 446, Exploring Algebra Activity.
SB 3.6
MA.912.A.3.14M
A.912.A.3.15
System of Linear
Equations
MA.912.A.3.14
Least Common
Multiple
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
Week 17-18
Days
Topic
Solve Special
Types of Linear
Systems
Text
Section
7-5
Benchmark
Vocabulary
MA.912.A.3.14M
A.912.A.3.15
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
1
Solve Systems of
Linear
Inequalities
7-6
MA.912.A.3.13M
A.912.A.3.15
1
2
Chapter 7 Review
and Assessment
Extensions/Resources
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
DW Test
Item #s
20272,1926,7162,127615
16285,19045,20452,35321,9
6669,8357,80647,127617
Post-Test Performance Assessment as Take Home
Project- See Teacher-One Stop Disc
Week 18-19
Days
5
Topic
Mid-Term Prep
and Exams
Text
Section
Benchmark
Vocabulary
Extensions/Resources
DW Test
Item #s
22
Week 20
Days
Topic
1
Apply Exponent
Properties
Involving Products
2
Apply Exponent
Properties
Involving
Quotients
Text
Section
8-1
MA.912.A.4.1
Order of
Understanding Math, under Understanding
Magnitude,
Exponents, Exponent Rules.
Power, Exponent, SB 4.1
Base
1165,1182,1934,1935,1937,
2009,2165,2172,96671,1042
97,131694,127618,131700,7
9906
8-2
MA.912.A.4.1
Power, Exponent, Understanding Math, under Understanding
Base
Exponents, Exponent Rules.
SB 4.1
96384,96385,96672,96675,9
6677,104301,131697,13170
1,131706,1943
Benchmarks
Vocabulary
Extensions/Resources
DW Test Item #s
Week 21
Days
2
1
2
Topic
Define and Use
Zero and Negative
Exponents
Use Scientific
Notation
Write and Graph
Exponential
Growth Functions
Text
Section
8-3
Benchmarks
Vocabulary
Extensions/Resources
DW Test Item #s
MA.912.A.4.1
Reciprocal
On Pg. 518, Exploring Algebra Activity.
SB 4.1
16702,20281,20287,34952,9
6389,96678
8-4
MA.912.A.1.1,
MA.912.A.1.4
Scientific
Notation
On Pg. 535, Graphing Calculator Activity.
SB 4.1
94480,5699,13244,14348,14
395,19012,22489,34941,351
61,96387
8-5
MA.912.A.2.3,
MA.912.A.2.13
Exponential
Function,
Exponential
Growth,
Compound
Interest
Go to the textbook website:
http://www.thinkcentral.com/index.htmAnimate
d Math: Write and Graph Exponential Growth
Functions.
SB 4.2
164365
23
Days
Topic
1
Write and Graph
Exponential Decay
Functions
Text
Section
8-6
Benchmark
MA.912.A.2.3,
MA.912.A.2.13
Week 22-23
Vocabulary
Exponential Decay
Extensions/Resources
DW Test Item #s
Pg. 546, Exploring Algebra Activity.
SB 4.2
Extension: Geometric Sequences pgs.555-556
2
Chapter 8 Review
and Assessment
Post-Test Performance Assessment as Take
Home Project- See Teacher-One Stop Disc
1
Add and Subtract
Polynomials
9-1
MA.912.A.4.2
Monomial, Degree,
Polynomial,
Leading
Coefficient,
Binomial, Trinomial
On Pg. 578, Graphing Calculator Activity.
SB 4.4
Study Island – Lesson 2o
1046,1051,1177,1178,1179,
1960,1962,1964,17744,6163
1,79933,96673
1
Multiply
Polynomials
9-2
MA.912.A.4.2
Polynomial,
Binomial
On Pg. 579, Exploring Algebra Activity.
SB 4.5
1057,1966,1968,14353,1439
2,14399,18988,18994,22482
,34715,1181,14352,14392,2
0299,16157
Week 23
Days
1
Topic
Find Special
Products of
Polynomials
Text
Section
9-3
Benchmarks
Vocabulary
MA.912.A.4.2
Binomial, Trinomial
Extensions/Resources
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
2
Solve Polynomial
Equations in
Factored Form
9-4
Factor x2 + bx + c
9-5
MA.912.A.1.8,
MA.912.A.4.3
Roots, Vertical
Motion Model
MA.912.A.4.3,
MA.912.A.7.2
Zero of a Function
Go to the textbook website:
http://www.thinkcentral.com/index.htm
Video Tutor, Solve Polynomial Equations in
Factored Form.
SB 4.6
On Pg. 600, Exploring Algebra Activity.
SB 4.6
1184,1185,2132,16191
2079,2081,2233,2084,2086,
20360
Week 24
Days
Topic
2
ax2 + bx + c
1
Factor Special
Products
2
Factor
Polynomials
Completely
2
Chapter 9 Review
and Assessment
Text
Section
9-6
Benchmarks
Vocabulary
MA.912.A.4.3,
MA.912.A.7.2
Trinomial
9-7
MA.912.A.4.3
MA.912.A.7.2
Perfect Square
Trinomial
9-8
MA.912.A.4.3
MA.912.A.7.2
Factor by Grouping,
Factor Completely
Extensions/Resources
Go to the textbook website:
http://www.thinkcentral.com/index.htm
Animated Math: Modeling the Factorization of
ax2 + 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).
DW Test Item #s
2013,16192
96699,104305,127623
104303,16233
25
Week 25
Days
Topic
2
Graph
y = ax2 + c
2
Graph
y = ax2 + bx + c
Text
Section
10-1
10-2
Benchmarks
Vocabulary
MA.912.A.7.1
MA.912.A.7.6
Quadratic Function,
Parabola, Parent
Quadratic Function,
Vertex, Axis of
Symmetry
Minimum Value,
Maximum Value
MA.912.A.7.1,
MA.912.A.7.6
Extensions/Resources
DW Test Item #s
Go to the textbook website:
http://www.thinkcentral.com/index.htm
Animated Math: A Falling Object Model.
SB 5.2
16133,35317,81199
On Pg. 655, Exploring Algebra Activity.
SB 5.3
Study Island – Lesson 2r
2137,2140,127645,80664,81
200,81202,81203,81204,820
7,17817,81208,81209,16261
, 96689,127639
Week 26
Days
2
1
2
Topic
Solve Quadratic
Equations by
Graphing
Text
Section
10-3
Use Square Roots
to Solve Quadratic
Equations
10-4
Solve Quadratic
Equations by
Completing the
Square
10-5
Benchmarks
Vocabulary
Extensions/Resources
DW Test Item #s
On Pg. 672, Graphing Calculator Activity.
SB 5.3
1184,1185,2132,16191
MA.912.A.7.6,
MA.912.A.7.10
Quadratic Equation,
x-intercept, Zero of
a Function, Roots
MA.912.A.7.8
Square Root, Perfect
Square
2011,16187,81251,81254,81
255
MA.912.A.7.2,
MA.912.A.7.8
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
26
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.
14368, 35082
Graphing Quadratic Functions in Vertex Form
pg. 691-692.
Week 27
Days
2
Topic
Solve Quadratic
Equations by the
Quadratic Formula
1
Interpret the
Discriminant
Text
Section
10-6
Benchmarks
Vocabulary
Extensions/Resources
Quadratic Formula
MA.912.A.7.2
10-7
MA.912.A.7.8
Text
Section
Benchmark
Discriminant
Understanding Math, under Understanding
Graphing, Quadratic Functions. To use for
illustration.
SB 5.4
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
Week 28
Days
Topic
2
Chapter 10 Review
and Assessment
Vocabulary
Extensions/Resources
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
DW Test Item #s
27
Days
Topic
2
Graph Square Root
Functions
2
Simplify Radical
Expressions
Days
Topic
2
Solve Radical
Equations
Apply the
Pythagorean
Theorem and Its
Converse
Apply the Distance
and Midpoint
Formulas
Chapter 11 Review
and Assessment
2
1
2
2
Flex Days
Text
Section
11-1
Benchmark
MA.912.A.2.4
11-2
MA.912.A.6.1
MA.912.A.6.2
Text
Section
11-3
Benchmark
MA.912.A.6.5
11-4
MA.912.G.5.1
11-5
MA.912.G.1.1
Weeks 28-29
Vocabulary
Radical Expression,
Radical Function,
Square Root
Function, Parent
Square Root
Function
Simplest Form of a
Radical Expression,
Rationalizing the
Denominator
DW Test Item #s
Go to the textbook website:
http://www.thinkcentral.com/index.htm
Under Videos and Activities, use the graphing
calculator in the tool box to demonstrate.
SB 4.3
Go to the textbook website:
http://www.thinkcentral.com/index.htm
Animated Algebra: Simplifying Radicals.
SB 4.3
Study Island – Lesson 2q
Weeks 29-30
Vocabulary
Radical Expression,
Extraneous Solution
Hypotenuse, Legs of
a Right Triangle,
Pythagorean
Theorem
Distance Formula,
Midpoint, Midpoint
Formula
Extensions/Resources
Extensions/Resources
16190,2097,2098,1172,2097
,2224
DW Test Item #s
On Pg. 759, Problem Solving Connections.
2107, 7267
Understanding Math, under Understanding
Exponents, Pythagorean Theorem.
2095, 22474
On Pg. 767, Exploring Algebra Activity.
1936,16693,1149,1772,2238
,2277,6093,7113
Post-Test Performance Assessment as Take
Home Project- See Teacher-One Stop Disc
Students continue working on EOC Study
Guide
28
Days
Topic
Text
Section
Benchmark
5
Standards
Review and
Practice
FCAT 2.0 for 8th
Grade Students
4
FCAT WEEK
FCAT 2.0 for 8th
Grade Students
Days
Topic
2
Model Inverse
Variation
2
Graph Rational
Functions
Benchmark
Weeks 31-32
Vocabulary
Extensions/Resources
DW Test Item #s
Students continue working on EOC
Study Guide
Week 32-33
Vocabulary
Text
Section
12-1
Extensions/Resources
MA.912.A.2.4
Inverse Variation,
Constant of Variation,
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.
12-2
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
Video Tutor with Practice: 12-2.
DW Test Item #s
29
Days
Topic
2
Divide
Polynomials
2
Simplify
Rational
Expressions
Text
Section
12-3
MA.912.A.4.4
12-4
MA.912.A.5.1
12-5
2
Multiply and
Divide Rational
Expressions
Benchmark
MA.912.A.5.2
Weeks 33-34
Vocabulary
Monomial,
Polynomial, Binomial,
Rational Function
Rational Expression,
Excluded Value,
Simplest Form of a
Rational Expression
Multiplicative Inverse,
Polynomial, Rational
Expression
Extensions/Resources
DW Test Item #s
On Pg. 818, Graphing Calculator
Activity.
16186, 1054
Go to the textbook website:
http://www.thinkcentral.com/index.ht
m
eWorkbook 12-4.
SB 4.8
1990
Study Island – Lesson 2p
On Pg. 838, Focus on Operations
SB 4.8
30
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
MA.912.A.5.5
MA.912.A.5.7
Rational Equation,
Cross Product,
Extraneous Solution,
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.
Post-Test Performance Assessment as
Take Home Project- See Teacher-One
Stop Disc
Students continue working on EOC
Study Guide
DW Test Item #s
31
Days
Topic
5
1
EOC Prep
End of Course
Exam
(May 16)
Project
**See resources
at the end of
the pacing
guide
5+
Text
Section
Benchmark
Week 36 through the end
Vocabulary
Extensions/Resources
DW Test Item #s
5/215/25?
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)
34
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 relationship exists between the correlation coefficient and the slops of the line of best fit?
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)?
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
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 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 x2 + bx + c
 What do b and c represent in x2 + bx + c? How do the signs of b and c affect the binomial factors?
9-6 Factor ax2 + bx + c
 What do a, b, and c represent in ax2 + 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 = ax2 + c
 How do you determine whether a parabola has a minimum or maximum point?
 What impact does the coefficient of x2 have on the direction of the parabola?
 Describe the process for graphing a parabola of the form y = ax2 + c.
 How do changes in the value of c impact the location of the parabola on the y-axis?
10-2 Graph y = ax2 + 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 x2 = 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?