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.
ThinkCentral Online Edition: Thinkcentral.com
-Lesson transparencies
-Powerpoint Presentations
-Editable lesson plans and worksheets
-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
LA.910.1.6.1
LA.910.1.6.2
LA.910.1.6.5
LA.910.3.1.3
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)
Year at a Glance:
1st Quarter
Course Content Sunshine State Standards*
Chapter 1
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
MA.912.A.3.2, MA.912.D.7.1, MA.912.D.7.2, MA.912.A.10.1
Chapter 3
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
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
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
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
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
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
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
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
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
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
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
12 Days
12 Days
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
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 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
WEEK
29 -30
31-32
32-35
36-39
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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/
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?
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
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?
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?
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?
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
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?