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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
Using Math Sentences, Part1
Math Sentences, Part 2

Elementary Algebra: Elementary Topics

Sets & Numbers (Course)
Integer Sum
Integer Difference
Integer Product & Quotient
Subtraction
Fractional Numbers : Multiplication &
Division
Basic Set Concepts
Set Union & Intersection
Exponents – Beginning Algebra
Quotient & Power
Square Roots – Beginning Algebra
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

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
Subtraction
Fractional Numbers: Multiplication &
Division
Basic Set Concepts
Exponents – Beginning Algebra
Quotient & Power
Square Roots – Beginning Algebra
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
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
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
Algebraic Operations
Factoring
Algebraic Fractions
Equations & Inequalities
Intervals, Distance & Absolute
Values
Inequalities
Coordinates & Curves
Lines & Slopes
Parallel & Perpendicular Lines –
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
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
Algebraic Operations
Factoring
Algebraic Fractions
Equations & Inequalities
Intervals, Distance & Absolute
Values
Inequalities
Coordinates & Curves
Lines & Slopes
Parallel & Perpendicular Lines –
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 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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