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PLATO: ASSET Prep Advanced Mathematics Skills Lessons

Advanced Math:
Elementary Algebra for Test 1

Elementary Algebra: Pre-Algebra topics

Math Sentences, Part 1
Variables
Monomials
Binomials
Linear Equations: 1 Variable
Linear Inequalities: 1 Variable
Special Quadratic Equations
Using Math Sentences, Part1
Math Sentences, Part 2

Elementary Algebra: Elementary Topics

Sets & Numbers (Course)
Integer Sum
Integer Difference
Integer Product & Quotient
Fractional Numbers : Addition &
Subtraction
Fractional Numbers : Multiplication &
Division
Basic Set Concepts
Set Union & Intersection
Exponents – Beginning Algebra
Quotient & Power
Square Roots – Beginning Algebra
Roots & Radicals
Review: Sets & Numbers
Polynomials & Factoring (Course)
Monomial Sum & Difference
Monomial Product & Quotient
Binomial Sum & Difference
Polynomial Sum & Difference
Polynomial Product
Polynomial Quotient
Common Factors
Factoring II
Factoring Special Cases
Factoring Trinomials I
Factoring
Trinomials II
Review: Polynomials/Factoring
Math Sentences (Course)
Simple Equations
Solving Equations
Absolute Value
Graphing
Word Problems I
Inequalities I
Inequalities II

Simple Quadratics
Word Problems II
Review: Math Sentences

Elementary Algebra: Intermediate
Topics

Rational Expressions (Course)
Graphs (Course)
Linear Systems of Equations & Inequalities
Probability (Course) – Intermediate Algebra

ASSET Prep Int. Algebra Skills for Test 2

Intermediate Algebra : Elementary
Algebra Topics

Sets & Numbers (Course)
Integer Sum
Integer Difference
Integer Product & Quotient
Fractional Numbers: Addition &
Subtraction
Fractional Numbers: Multiplication &
Division
Basic Set Concepts
Exponents – Beginning Algebra
Quotient & Power
Square Roots – Beginning Algebra
Roots & Radicals
Review: sets & Numbers
Polynomials & Factoring (Course)
Monomial Sum & Difference
Monomial Product & Quotient
Binomial Sum & Difference
Polynomial Sum & Difference
Polynomial Product
Polynomial Quotient
Common Factors
Factoring II
Factoring Special Cases
Factoring Trinomials I
Factoring Trinomials II
Review: Polynomials/Factoring
Math Sentences (Course)
Simple Equations
Solving Equations
Absolute Value
Graphing
Word Problems I
Inequalities I
Inequalities II
Simple Quadratics
Quadratic Equations
Quadratic Formula
Word Problems Ii
Review: Math Sentences

Intermediate Algebra & Coordinate
Geometry

Rational Expressions (Course)
Evaluating
Equivalent Forms
Rational Sum & Difference
Rational Product & Quotient
Unlike Denominators
Review: Rational Expression
Graphs (Course)
Points in a Plane
Linear Equations & Inequalities
Slope & Y-Intercept
Slope-Intercept Form
Parallel & Perpendicular Lines –
Intermediate Algebra
Review: Graphs
Linear Systems of Equations & Inequalities
Linear Systems
Systems – Substitute
Systems – Addition
Word Problems
Review: Linear Systems
Probability (Course) – Intermediate Algebra
Probability I
Probability II
Review: Probability – Intermediate
Algebra
The Distance Formula
Slope
Coordinates in Three Dimensions

Intermediate Algebra: College Algebra
Topics

Numbers & Their Properties
Exponents & Radicals
Algebraic Operations
Factoring
Algebraic Fractions
Equations & Inequalities
Intervals, Distance & Absolute
Values
Inequalities
Coordinates & Curves
Lines & Slopes
Parallel & Perpendicular Lines –
Advanced Algebra
Distance & Circles
Parabolas
Ellipses & Hyperbolas

ASSET Prep College Algebra Skills for
Test 3

College Algebra : Intermediate
Algebra Topics

Rational Expressions (Course)
Evaluating
Equivalent Forms
Rational Sum & Difference
Rational Product & Quotient
Unlike Denominators
Review: Rational Expression
Graphs (Course)
Points in a Plane
Linear Equations & Inequalities
Slope & Y-Intercept
Slope-Intercept Form
Parallel & Perpendicular Lines –
Intermediate Algebra
Review: Graphs
Linear Systems of Equations &
Inequalities
Linear Systems
Systems – Substitute
Systems – Addition
Word Problems
Review: Linear Systems
Probability (Course) – Intermediate
Algebra
Probability I
Probability II
Review: Probability – Intermediate
Algebra
The Distance Formula
Slope
Coordinates in Three Dimensions

College Algebra Topics

Numbers & Their Properties
Exponents & Radicals
Algebraic Operations
Factoring
Algebraic Fractions
Equations & Inequalities
Intervals, Distance & Absolute
Values
Inequalities
Coordinates & Curves
Lines & Slopes
Parallel & Perpendicular Lines –
Advanced Algebra
Distance & Circles
Parabolas
Ellipses & Hyperbolas
Functions & Their Graphs
Definitions of Functions
Graphs of Functions
More on Graphing Functions
Composite & Inverse Functions
Applications of Functions
Exponential Functions
Exponential & Logarithmic Functions
Exponential Growth & Decay

College Algebra: Trigonometry Topics

Trigonometric Functions
Trigonometric Identities & Equations

ASSET Prep Geometry Skills Lessons
for Test 4

Geometry Skills Lessons: Triangles
Congruent Triangles, Part 1
Congruent Triangles, Part 2
Congruent Triangle Problems
The Pythagorean Theorem 2
Solving the Right Triangle Problems
30-60 Degree Right Triangles
Proportionality
A Sense of Proportion
Not Everything is Created Equal
Geometry Skills Lessons: Circles
Introduction to circles
Tangents
Arcs & Chords
Measuring Circumference
The Length of Arcs
The Area of Circles
Geometry Skills Lessons: Lines
Introduction to Circles
Angles in Pairs
Transitive Properties of Lines
The Sum of the Angles in a Triangle
Geometry Skills: Other Geometric
Figures
Geometry & Measurement
Geometry
Polygons
Transformations, Symmetry, & Area
Solid & Coordinate Geometry

math syllabus

Assgn

Pg

Problems**

Type of Problem

 

 

 

REMEMBER Multiple Choice Problems From Previous Tests!!!!

 

 

HIGHLIGHTING

WS#16, 17, 25 You may use the book for extra practice where Worksheets replaced the
sections
in the book.

 

 

CODE

Sections that were assigned from the book. Some had Worksheet also:
WS#2, 18, 20, 24, 26

 

 

FOR

This section used equations from the book but had answers on WS#26 in
slope-intercept form. WS#21 was also assigned for practice in writing
equations of lines .

 

 

SYLLABUS

Chapter Reviews not guaranteed to be a complete review.

BG1.1

10

33-42; 51-74

BACKGROUND:* Arithmetic: Order of Operations using Integers

BG1.2

20

1-90

BACKGROUND:* Arithmetic: Order of Operations using Fractions

BG1.3

29

15-54

BACKGROUND:*Arithmetic: Order of Operations using Whole Number Exponents

BG1.4A

37

1-57

BACKGROUND:* Simplifying & Evaluating Algebraic Expressions

Ch.1RA

41

11-22

BACKGROUND REQUISITES -- Review of Chapter 1 for Arithmetic (WS#1)

Ch.1RB

41

23-42

BACKGROUND REQUISITES -- Review of Chapter 1 for Simple Algebra

1.4T

38

64-99

Translating English Phrases into Algebraic Expressions

Ch.1RT

42

43-60

More Translating English Phrases into Algebraic Expressions

2.1A

51

1-50

Solving: First Degree Integer Equations (WS#3)

2.1B

52

51-56 (ALL)

Word Problems: "Simple Number Type"

2.1C

52

57-66 (ALL)

Word Problems: "Number Type"

2.2A

59

1-40

Solving: First Degree Fraction Equations (WS#3)

2.2B

60

41,42,45

Word Problems: "Simple Number Type" with Fractions

2.2C

60

48-54 (ALL)

Word Problems: "Number Type" with Fractions

2.2D

60

43,44,47,55-58 (ALL)

Word Problems: Geometry with Fractions

2.3A

67

1-28

Solving: First Degree Decimal Equations(WS#3)

2.3B

68

29-50 (ALL)

Word Problems: Percents & Decimals WS#20

2.4A

77

1-14 (ALL)

Formulas: "Substitution"

2.4B

78

17-23; 25-30; 33-44

Solving: For the Indicated Variable (WS#3)

2.4C

78

24, 31, 32, 45, 46

Solving: For the Indicated Variable with Factoring WS#25

2.4D

78

47, 48 (ALL)

Word Problems: Geometry

2.4E

79

49-52 (ALL)

Word Problems: Interest WS#20

2.4F

79

58-62 (ALL)

Word Problems: Mixture WS#20

2.5A

86

1-16

Notation: Inequalities (WS#13)

2.5B

86

17-70

Solving: Linear Inequalities in One Variable (WS#13)

2.6

94

19-56

Solving: Compound Inequalities

2.7

101

1-64

Solving: Equations & Inequalities with Absolute Value

Ch.2R

104

16-24; 46, 52, 53, 56

***Review of Chapter 2 for MT#3

3.1

114

47-70

Simplifying: Sums & Differences of Polynomials (WS#4)

3.2

120

1-93

Simplifying: Products, Quotients, & Powers of Monomials (Exponent Rules) (WS#8)

3.3A

127

1-24; 29-52

Multiplying Polynomials: Simple Distributive Property & FOIL (WS#4 & WS#6)

3.3B

127

25-28; 53-74

Multiplying Polynomials -- General (WS#9)

3.4A

135

21-46

Factoring: Greatest Common Factor (WS#11 & 15)

3.4B

135

47-64

Factoring: by Grouping (WS#11 & 15)

3.4C

136

65-86

Solving: Using Factoring to Solve Equations (WS#18)

3.5A

142

1-44

Factoring: Difference of Squares (WS#14 & 15)

3.5B

142

45-56

Factoring: Sum or Difference of Cubes (WS#15 )

3.5C

142

57-70

Solving: Using More Factoring Patterns to Solve Equations (WS#18)

3.6A

150

1-56

FOIL Factoring: Trinomials (WS#14 & 15)

3.6B

150

57-94

Factoring: ALL Methods Combined (WS#15)

3.7A

156

1-54

Solving: Using All Factoring Patterns to Solve Equations (WS#18)

3.7B

156

55-70 (ALL)

Word Problems: Quadratic

Ch3R

161

46-65

***Review of Chapter 3 for MT#3
4.1A 170 1-50 Simplifying:

4.1A

170

1-50

Simplifying: Rational Expressions ( Algebraic Fractions ) (WS#16)

4.1B

171

59-68

Simplifying: Rational Expressions using: a-b = -(b-a) (WS#16)

4.2

176

1-50

Simplifying: Multiplication & Division of Rational Expressions (WS#16)

4.3

184

1-68

Simplifying: Addition & Subtraction of Rational Expressions (WS#17)

4.4

193

1-64

MORE Simplifying: Addition & Subtraction of Rational Expressions (WS#17)

4.5

200

1-64

Dividing Polynomials & Synthetic Division (See 9.1 for extra Synthetic practice.)

Ch4R

222

1-22

***Review of Chapter 4 - Sections 4.1 - 4.5 for MT#3

5.1A

231

1-42

Arithmetic: Using Integers as Exponents with Numbers (WS#8)

5.1B

231

43-74

Simplifying: With Integer Exponents in Algebraic Expressions (WS#8)

5.1C

232

75-84

Simplifying: With Integer Exponents in Algebraic Expressions with Two Terms

5.2A

242

1-20

Arithmetic: Evaluating "Simple" Roots & Radicals WS#2

5.2B

242

21-44

Simplifying: Radicals -- Numbers Only WS#24

5.2C

243

45-74

Simplifying: Radicals -- Rationalizing the Denominator WS#24

5.3

248

1-74

Simplifying: Sums of Radicals & Radicals Containing Variables WS#24

5.4

254

1-76

Products & Quotients with Radicals WS#24

5.7

271

1-32

Scientific Notation

Ch5R

275

4, 5, 13-36; 43-46

***Review of Chapter 5 for MT#3

7.1

346

1-33

Graphing Straight Lines using SLOPE , x- & y-intercepts. (Uses WS#10 along with the book.)

7.2A

356

26-39

Graphing More Lines

7.2B

356

40-59

Graphing Other Equations

7.3

361

1-24

Linear Inequalities in 2 Variables (Shade Graphs)

7.4

371

1-12, 17-48

Distance & Slope Between Two Points; Use slope to find points on line & graph.

7.5A

383

19-26; 31-34

Writing Equations of Lines given Slope & y-intercept; Vertical & Horizontal Lines

7.5B

384

43-66

Putting Linear Equations into Slope-Intercept Form; Graphing Straight Lines using Slope

7.5C

383

1-18; 27-30; 35-42

Write the Equation of a Line - General WS#26 (Answers in y=mx+b); WS#21

Ch.7R

388

1-6; 8-15; 36-41

***Review of Chapter 7 for MT#3

11.1

598

1-60

Solving: Systems of Equations (2 Equations with 2 Variables) (WS#19)

11.1B

599

1-71

Word Problems Involving 2 Equations & 2 Unknowns

 

 

**Odds, unless need extra

*If ANY trouble is encountered with any of Ch1R or WS#1, refer to these for extra practice

 

 

 

BACKGROUND REQUISITES -- Review of Chapter 1

 

 

 

Book problems replaced by Worksheets. May use book for more practice.

 

 

 

***Chapter Reviews not assigned. SOME practice problems for Tests.

 

 

 

Chapter Reviews not guaranteed to be a complete review.

Math 092 TR
Elementary and Intermediate Algebra

Text: Essentials of Introductory and Intermediate Algebra for College Students, Blitzer, Prentice Hall , 2006

Prerequisites: Math 092 has prerequisite of an ACT sub-score in MATH of 17, placement by departmental examination, or
appropriate transfer course work. If you do not have an appropriate prerequisite, your registration will be canceled.

A scientific calculator is required .

Study groups and tutoring are available in The Learning Center in LEE HALL. MY MATH software is packaged with new text books.This software provides online practice problems and tutorials.

You are training these students for MATH 100. Critical thinking and interpretations are essential. Students should be able to interpretand explain. Be sure to require written statements on assessments.

Lesson Section and Topic Assignment
1 Course overview and Review Complete worksheet
2 1.8 Exponents and Order of Operations p.88: 6,8,13,14,17,22,31,35,38,55,63,64,66,85,87,88,90,92,94,97,98
2.1 Addition Property of Equality p. 109: 6,8,15,16,20,27,29,37,40,42,43,46,47,50,53,54,57,58,60,63,64
3 2.2 Multiplication Property of Equality p. 117: 15,17,20,26,38,40,44,52,54,55,56,57,58,63,64,65,68
2.3 Solving Linear Equations p. 124: 5,23,32,36,37,43,45,47,49,59,61,65,66,73,74,77,78,82
4 2.4 Formulas and Percents p. 134: 3,4,5,8,11,12,14,18,21,22,26,27,29,31,33,34,35,37,38,39,41,43 ,49,56,69,70,
71,73,74,75,83,86
2.5 Introduction to Problem Solving p. 146: 35,48,53,54,55,56,57,59,61,62,64,65
5 2.6 Problem Solving in Geometry p. 156: 3,4,7,9,19,20,21,24,25,27,28,51, 53,58,59,62,63,71
2.7 Solving Linear Inequalities p. 170: 1,5,9,11,13,15,21,27,29,34,35,40,45,50,59,62,68,72,75,78,103,104,107,110
Mid-Chapter Check Point p. 137: 1 - 10,12 - 16
6 Review p. 99: 86,88,90,92
p. 179: 4,5,11,12,13,18,19,22,25,26,27,28,29,31,32,34 - 42,47,48,53 - 56,59,61,64,
65 - 67,69,78 and 79 in interval notation,82,84,89
Chapter 1 Test : 7,10,11,12,13
Chapter 2 Test: 1 - 12,15,16,17,19,20,21,23,30,31.
3.1 Graphing Equations in Two Variables p. 194: 3,6,10,26,29,32,35,42,45,52,54,56,57,58,60,67.
7 Test 1 Sections 1.8,2.1 - 2.7
8 3.2 Graphing Linear Equations Using Intercepts p. 204: 1,4,6,7,8,10,13,27,30,38,39,41,44,48,51,54,59,76,77,78,79,80,83,84,89,90,91,102
3.3 Slope p. 212: 4,5,7,9,12,13,16,17,18,20,21,27,35,36,37,41,44,4
9 3.4 Slope-Intercept Form of Equations p. 222: 4,10,29,30,34,35,38,39,42,44,45,47,53,54,55,59,61
3.5 Point-Slope Form of Equations p. 232: 1,4,5,13,14,15,19,25,31,35,41,69bc,72(write in slope-intercept form only)
Mid-Chapter Check Point p. 225: 1 - 11,13 - 16,18
10 4.1 Solving Systems by Graphing p. 253: 2,6,18,22,26,30,45,47,52
4.2 Solving Systems using Substitution p. 261: 2,11,17,41, 43,45 Show 3 cases : 6,14,16,42 has good use of
variables. Stress interpreting the solution in applications.
11 4.3 Solving Systems using Addition p. 269: 3,8,16,19,29,31,34,45,56,65,66
Mid-Chapter Check Point p. 271: 1,2,4 - 7,9,11
4.4 Problem Solving p. 282: 7,8,10,11,12,13
12 Review p. 240: 4,6,7,10,17,18,19 - 26,29a,32,33,37,38,slope-intercept form for 41,42,45bc
p. 301: 7,15,29,36,37,40,43,47
Chapter 3 Test 2,4,5 - 9,11 - 16,19,20bc
Chapter 4 Test 1,2,4,7,9,10,12.
5.1 Adding and Subtracting Polynomials p. 311: 2,12,15,23,27,33,40,61,65,74,82,89,93,94,97 hint: make a table,100,101
13 Test 2 Sections 3.1 - 3.5,4.1 - 4.4
14 5.2 Multiplying Polynomials p. 323: 3,5,9,11,17,19 ,21,27,29,31,36,41,47,50,52,57,58,64,65,69,72,80,87,93,96,98,
99,101,102,103,104,105,106,111,114
5.3 Special Products p.330:25,27,29,31,33,37,41,45,47,53,57,64,66,68,73,76,83,85,87,91,92,97,98,99,108,111
15 5.5 Dividing Polynomials p. 348: 1,7,13,19,21,25,33,42,43,48,56,63,64,68,71,74,79,83,89,91,95
5.7 Negative Exponents and Scientific Notation p. 372: 9,12,15,25,27,31,33,47,58,61,71,75,81,87,93,99,107,109,115,121,140,
141,143,144,147,149
6.1 Greatest Common Factor and Factoring by Grouping p. 389: 19,26,31,36,39,45,47,55,59,62,63,64,67,72,74,77,78,82,95,96
Mid-Chapter Check Point p. 341: 1 - 10,12,14,15,17,19,21
16 6.2 Factoring Trinomials p. 397: 1,11,16,20,25,33,37,40,46,52,53,59,64,75,76,77,78
6.3 Factoring Trinomials p. 405 : 7,16,33,44,48,53,63,66,70,74,89
6.4 Factoring Special Forms p. 412: 3,5,7,8,13,23,26,32,33,36,43,45,48,51,54,57,62,66,67,99,101
17 6.5 A General Factoring Strategy p. 421: 1,3,12,16,19,22,32,35,36,47,48,54,57,103,104,105,121
6.6 Solving Quadratic Equations by Factoring p. 431: 1,5,11,13,14,21,24,30,34,38,43,44,49,57,59,61,70,71,72,73,81,83,84,87,88,89
Mid - Chapter Check Point p. 407: 1 - 9,11
18 Review p. 378: 1,2,3,6,8,12,24,26,31,33,36,39,43,44,58,59,60,64,66,78,84,86,97,98,101
p. 437: 49,51,52,54,55,57,59,80,86,87,89,91,93
Chapter 5 Test: 1 - 10,13 - 16,19 - 31
Chapter 6 Test: 1 - 8,10 - 16,18,19,21 - 29
Cumulative Review p. 381: 1 - 7,10 - 12,slope-intercept form for 13,14,15
19 Test 3 Sections 5.1 - 5.3,5.5,5.7,6.1 - 6.6
20 7.1 Rational Expressions and Their Simplifications p. 449: 3,6,9,10,13,14,15,16,20,26,27,33,34,42,45,48,54,55,58,63,67,87,88,89,90,91
7.2 Multiplying and Dividing Rational Expressions p. 456: 1,7,11,15,16,20,23,24,26,33,43,44,45,46,50,52,53,56,59,64,65,74,76,79,80
21 7.3 Adding and Subtracting Rational Expressions p. 463: 5,13,24,36,65,67,68,73,74,75,83,84
7.4 Adding and Subtracting Rational Expressions p. 474: 19,21,23,26,29,35,38,40,43,47,49,66,68,71,72,85,86,93,94,97,98,101
22 Mid-Chapter Check Point p. 477: 1 - 9,11 - 16,18,19,20
7.6 Solving Rational Equations p. 493: 3,9,18,22,28,29,30,39,42,46,47,49,50,56,60,62,63,67,68,77,78,79
23 7.7 Applications using Rational Equations p. 504: 17,19,22,23,24,25,28,31,49,50,51
8.1 Introduction to Functions p. 541: Do parts a,b,and c only for 9 - 16,17abcf,27 - 32,33 - 36
24 9.1 Interval Notation and Applications p. 588: 1,3,5,7,11,15,18,23,24,28,31,32,38,41,49,57 - 64
9.2 Compound Inequalities p. 598: 1,2,3,7,10,12,13,17,25,28,29,30,31,32,33,35,39,40,45,46,47,49,55,56,75,76
Mid-Chapter Check Point p. 609: 1,2,4,5,8,10,11,15
25 Review p. 523: 1 - 4,6,7,10,11,16,19,22,23,26,33,36,41,42,50,51,54,58,68,70
  p. 573: 4abc,5abc,12,13,17b
  p. 633: 2,6,8,9,10,11,12,13,20,21,22,23,25,26,29,30; omit 16 - 19,24,28,31 - 61
Chapter 7 Test: 1 - 7,9,10,13,19,20,25,26
Chapter 8 Test: 4,7
Chapter 9 Test: 3,6 - 12
26 Test 4 Sections 7.1 - 7.4,7.6,8.1,9.1,9.2
27 Review for Final  

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Designated Rescue Area. This is an area where emergency service personnel will go first to look for individuals who need assistance in exiting the building. Students who may need assistance should identify themselves to the teaching faculty.

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