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        Mathematics Correlations to California State Standards

                    For Starline Press

        By Developing Excellence, Inc. www.developingexcellence.com

Math 1001 Correlation to CA Mathematics Content Standards
               
Section Page CA Standard(s)
Chapter 1, Section 1: Rational Expressions 9 Algebra I: 11.0, 12.0, 13.0   Algebra II: 7.0
Chapter 2, Section 1: Understanding the Language of Polynomials 21 Algebra I: 10.0  Algebra II: 3.0
Chapter 2, Section 2: Adding & Subtracting Polynomials 23 Algebra I: 10.0  Algebra II: 3.0
Chapter 2, Section 3: Ascending and Descending Order 26 Algebra I: 10.0  Algebra II: 3.0
Chapter 2, Section 4: Multiplying Monomials & Polynomials  27 Algebra I: 10.0  Algebra II: 3.0
Chapter 2, Section 5: Dividing Polynomials  32 Algebra I: 10.0  Algebra II: 3.0
Chapter 3, Section 1: Synthetic Division 37 Algebra I: 10.0  Algebra II: 3.0
Chapter 3, Section 2: Working with Complex Fractions 40 Algebra I: 13.0  Algebra II: 7.0
Chapter 3, Section 3: Solving Rational Equations 43 Algebra I: 11.0, 13.0  Algebra II: 4.0, 7.0
Chapter 3, Section 4: Ratios and Proportions 44 Algebra I: 15.0  Algebra II: 7.0
Chapter 3, Section 5: Direct, Inverse, and Joint Variations 45 Algebra II: 7.0
               
Math 1002 Correlation to CA Mathematics Content Standards
               
Section Page CA Standard(s)
Chapter 1 Section 1: Rational Exponents 4 Algebra I: 2.0  Algebra II: 12.0
Chapter 1, Section 2: Radicals & Roots with Absolute Values 7 Algebra I: 2.0  Algebra II: 12.0
Chapter 1, Section 3: Simplifying Radicals 9 Algebra I: 2.0  Algebra II: 12.0
Chapter 1, Section 4: Adding & Subtracting Radical Expressions 11 Algebra I: 2.0  Algebra II: 12.0
Chapter 1, Section 5: Multiplying and Dividing Radical Expressions 11 Algebra I: 2.0  Algebra II: 12.0
Chapter 2, Section 1: The Basics of Quadratic Equations 13 Algebra I: 14.0, 20.0  Algebra II: 8.0
Chapter 2, Section 2: Solving Quadratics by Factoring 14 Algebra I: 14.0  Algebra II: 8.0
Chapter 2, Section 3:Complex & Imaginary Numbers 16 Algebra II: 5.0
Chapter 2, Section 4: Quadratic Equations with Non-Real Number Solutions 17 Algebra II: 6.0, 8.0
Chapter 2, Section 5: The Square Root Method 19 Algebra II: 8.0
Chapter 2, Section 6: Graphing/Plotting Imaginary/Complex Numbers 20 Algebra II: 5.0
Chapter 3, Section 1: Completing the Square 24 Algebra I: 14.0  Algebra II: 8.0
Chapter 3, Section 2: The Quadratic Formula 26 Algebra I: 20.0  Algebra II: 8.0
Chapter 3, Section 3: The Discriminant 28 Algebra I: 20.0  Algebra II: 8.0
Chapter 3, Section 4: Checking Quadratic Equation Solutions 29 Algebra I: 20.0  Algebra II: 8.0
               
Math 1003 Correlation to CA Mathematics Content Standards
                 
Section Page CA Standard(s)
Chapter 1, Section 1: Solving Absolute Value Equations 5 Algebra I: 3.0  Algebra II: 1.0
Chapter 1, Section 2: Solving Linear Inequalities 8 Algebra I: 5.0
Chapter 1, Section 3: Compound Inequalities 11 Algebra I: 5.0
Chapter 1, Section 3: Absolute Value Inequalities 14 Algebra I: 3.0  Algebra II: 1.0
Chapter 2, Section 1: Rectangular Coordinate System 18  
Chapter 2, Section 2: Distance Formula & Pythagorean Theorem 20 Geometry: 15.0, 17.0
Chapter 2, Section 3: Midpoint Formula 23 Geometry: 17.0
Chapter 2, Section 4: Slope of a Line 24 Algebra I: 8.0
Chapter 3, Section 1: Graphing Equations of Lines 27 Algebra I: 6.0
Chapter 3, Section 2: Linear Equation Format and x- & y-Intercepts 29 Algebra I: 6.0
Chapter 3, Section 3: Point-Slope Form of the Equation of a Line 31 Algebra I: 7.0
 
Chapter 3, Section 4: Slope-Intercept Form of the Equation of a Line 33 Algebra I: 7.0
               
Math 1004 Correlation to CA Mathematics Content Standards
               
Section Page CA Standard(s)
Chapter 1, Section 1: What is a Linear Inequality? 6 Algebra I: 6.0
Chapter 1, Section 2: Graphing Systems of Inequalities 7 Algebra I: 9.0  Algebra II: 2.0
Chapter 1, Section 3: Applying Systems of Linear Inequalities 9 Algebra I: 9.0  Algebra II: 2.0
Chapter 1, Section 4: Addition and Multiplication Properties of Inequalities 11 Algebra I: 5.0
Chapter 2, Section 1: Linear Equations: Solutions Using Graphing 15 Algebra I: 9.0  Algebra II: 2.0
Chapter 2, Section 2: Dependent and Inconsistent Systems 16 Algebra I: 9.0; Algebra II: 2.0; Linear Algebra: 6.0
Chapter 2, Section 3: Solving Systems of Equations by Substitution 19 Algebra I: 9.0  Algebra II: 2.0
Chapter 2, Section 4: Solving Linear Equations Using Eliminations 20 Algebra I: 9.0
Chapter 3, Section 1: An Introduction to Matrices 23 Algebra II: 2.0
Chapter 3, Section 2: Adding and Subtracting Matrices 26 Linear Algebra: 4.0
Chapter 3, Section 3: Scalar Multiplication of Matrices 27 Linear Algebra: 5.0
Chapter 3, Section 4: Multiplying Matrices 28 Linear Algebra: 5.0
               
Math 1005 Correlation to CA Mathematics Content Standards
               
Section Page CA Standard(s)
Chapter 1, Section 1: Augmented, Coefficient, and Constant Matrices 6 Algebra II: 2.0  Linear Algebra: 2.0
Chapter 1, Section 2: Gaussian Elimination Format 7 Algebra II: 2.0  Linear Algebra: 1.0, 2.0, 3.0
Chapter 1, Section 3: Solving Linear Equation Systems Using Gaussian Elimination with Augmented Matrices 9 Algebra II: 2.0  Linear Algebra: 1.0, 2.0
Chapter 1, Section 4: Systems Where the Number of Equations and Variable Do Not Match 13 Algebra II: 2.0  Linear Algebra: 2.0
Chapter 2, Section 1: A History Lesson on Matrices and Determinants 18 Algebra II: 2.0
Chapter 2, Section 2: Determinants 20 Algebra II: 2.0
Chapter 2, Section 3: Properties of Determinants and Cramer's Rule 22 Algebra II: 2.0
Chapter 2, Section 4: Third-Order Determinants 25 Algebra II: 2.0
Chapter 3, Section 1: Identity Matrices 30 Algebra II: 2.0
Chapter 3, Section 2: Inverse Matrices 31 Linear Algebra: 9.0, 11.0
Chapter 3, Section 3: Inverses for 3 x 3 Matrices 35 Linear Algebra: 9.0
Chapter 3, Section 4: Practice, Practice, Practice 37 Algebra II: 2.0; Linear Algebra: 1.0, 2.0, 3.0, 9.0, 11.0
               
Math 1006 Correlation to CA Mathematics Content Standards
               
Section Page CA Standard(s)
Chapter 1, Section 1: A History of Logarithms 6 Algebra II: 11.1
Chapter 1, Section 2: What is a Logarithm? 7 Algebra II: 11.1, 13.0
Chapter 1, Section 3: Exponential Functions 9 Algebra II: 11.1, 12.0
Chapter 1, Section 4: Logarithmic Functions 15 Algebra II: 11.1, 24.0
Chapter 2, Section 1: The Nuts and Bolts of Logarithms 20 Algebra II: 11.1, 14.0
Chapter 2, Section 2: Solving Logarithms Using the Logarithm Table 23 Algebra II: 14.0
Chapter 2, Section 3: Antilogarithms 26 Algebra II: 14.0, 24.0
Chapter 2, Section 4: Working Logarithm and Antilogarithm Problems on a Calculator 29 Algebra II: 14.0
Chapter 3, Section 1: Solving Natural Logarithms 32 Algebra II: 14.0
Chapter 3, Section 2: Solving Exponential and Logarithmic Equations 34 Algebra II: 14.0
Chapter 3, Section 3: Changing Bases and Simplifying Natural Logarithms 37 Algebra II: 13.0
Chapter 3, Section 4: Proving the Laws of Logarithms 39 Algebra II: 11.0
Chapter 3, Section 5: Some Logarithm Problems 42 Algebra II: 11.1, 12.0, 13.0, 14.0
               
Math 1007 Correlation to CA Mathematics Content Standards
               
Section Page CA Standard(s)
Chapter 1, Section 1: Factoring Natural Numbers 5 Algebra I: 11.0
Chapter 1, Section 2: Finding the Greatest Common Factors 6 Algebra I: 11.0
Chapter 1, Section 3: Factoring Monomials 9 Algebra I: 11.0
Chapter 1, Section 4: Factoring the Difference of Two Squares 11 Algebra I: 11.0  Algebra II: 4.0
Chapter 2, Section 1: Factoring Out a Polynomial 16 Algebra I: 11.0  Algebra II: 4.0
Chapter 2, Section 2: Factoring By Grouping 17 Algebra I: 11.0  Algebra II: 4.0
Chapter 2, Section 3: Factoring the Sum or Difference of Cubes 18 Algebra I: 11.0  Algebra II: 4.0
Chapter 2, Section 4: Factoring Trinomials with Lead Coefficients of 1 21 Algebra I: 14.0  Algebra II: 8.0
Chapter 3, Section 1: Factoring Trinomials of the Form ax2 + bx + c 25 Algebra I: 11.0  Algebra II: 4.0
Chapter 3, Section 2: Factoring Square Trinomials 28 Algebra I: 11.0  Algebra II: 4.0
Chapter 3, Section 3: Solving Equations By Factoring 29 Algebra I: 14.0  Algebra II: 8.0
Chapter 3, Section 4: Review For You Before Your Test 32 Algebra I: 11.0, 14.0  Algebra II: 4.0, 8.0
               
Math 1008 Correlation to CA Mathematics Content Standards
                 
Section Page CA Standard(s)
Chapter 1, Section 1: Pascal's Triangle 6 Algebra II: 20.0
Chapter 1, Section 2: Factorials 10 Algebra II: 18.0
Chapter 1, Section 3: The Binomial Theorem 12 Algebra II: 20.0
Chapter 1, Section 4: Binomial Coefficients and Combinations 14 Algebra II: 19.0
Chapter 2, Section 1: Sequences 18 Algebra II: 22.0
Chapter 2, Section 2: Arithmetic Sequences 22 Algebra II: 22.0
Chapter 2, Section 3: Arithmetic Means 25 Algebra II: 22.0
Chapter 2, Section 4: Arithmetic Series and Summation 26 Algebra II: 22.0, 23.0
Chapter 3, Section 1: Geometric Sequences 32 Algebra II: 22.0
Chapter 3, Section 2: Geometric Means 34 Algebra II: 12.0, 22.0
Chapter 3, Section 3: Finite Geometric Series 36 Algebra II: 22.0, 23.0
Chapter 3, Section 4: Infinite Geometric Series 39 Algebra II: 22.0, 23.0
               
Math 1009 Correlation to CA Mathematics Content Standards
               
Section Page CA Standard(s)
Chapter 1, Section 1: Function Notation and Operations 6 Algebra I: 16.0, 17.0, 25.0
Chapter 1, Section 2: Relations and Functions 7 Algebra I: 16.0, 17.0, 18.0
Chapter 1, Section 3: Discrete and Continuous Functions 12 Algebra II: 24.0
Chapter 1, Section 4: Composite Functions 14 Algebra II: 24.0, 25.0
Chapter 2, Section 1: Inverse and Identity Functions 17 Algebra II: 24.0
Chapter 2, Section 2: Graphing Linear Polynomial Functions 21 Algebra I: 6.0
Chapter 2, Section 3: Graphing Rational Functions 24 Mathematical Analysis: 6.0
Chapter 2, Section 4: Practice Exercises to Help You 27 Algebra I: 6.0, 16.0, 17.0, 18.0; Algebra II: 24.0
Chapter 3, Section 1: Quadratic Functions 31 Algebra I: 21.0  Algebra II: 9.0, 10.0
Chapter 3, Section 2: Exponential Functions 34 Algebra II: 12.0
Chapter 3, Section 13 Translations of Graphs or Functions 40 Algebra II: 9.0
Chapter 3, Section 4: Logarithmic Functions 43 Algebra II: 11.1
                 
Math 1010 Correlation to CA Mathematics Content Standards
               
Section Page CA Standard(s)
Chapter 1, Section 1: Ways to Measure Central Tendency 7 Probability and Statistics: 4.0, 6.0
Chapter 1, Section 2: Graphs of Central Tendency 9 Probability and Statistics: 8.0
Chapter 1, Section 3: Making Scatter Plots 11 Probability and Statistics: 8.0
Chapter 1, Section 4: Interpreting Scatter Plots 14 Probability and Statistics: 8.0
Chapter 2, Section 1: Ways to Measure Variation in Data 20 Probability and Statistics: 8.0
Chapter 2, Section 2: Standard Deviations 23 Probability and Statistics: 5.0
Chapter 2, Section 3: The Normal Distribution 24 Probability and Statistics: 4.0, 5.0
Chapter 2, Section 4: Direct, Inverse, Joint and Combined Variation 29 Algebra I: 5.0
Chapter 3, Section 1: Permutations 34 Algebra II: 18.0
Chapter 3, Section 2: Combinations 35 Algebra II: 18.0
Chapter 3, Section 3: Probability or Odds 37 Probability and Statistics: 1.0
Chapter 3, Section 4: Adding and Multiplying Probabilities 39 Probability and Statistics: 1.0
               
Math 1011 Correlation to CA Mathematics Content Standards
               
Section Page CA Standard(s)
Chapter 1, Section 1: Proofs 5 Algebra I: 1.1, 24.0, 25.0
 
Chapter 1, Section 2: Inference 8 Algebra I: 24.0  Geometry: 3.0
Chapter 1, Section 3: True/False Statements 12 Algebra I: 1.1  Algebra II: 15.0
Chapter 1, Section 4: Let's Get Logical! 14 Algebra I: 24.1  Algebra II: 15.0
Chapter 1, Section 5: Combining Propositions 17 Algebra I: 24.1  Algebra II: 15.0
Chapter 2, Section 1: Judge Argument Validity 24 Algebra I: 24.1  Algebra II: 11.2
Chapter 2, Section 2: Logical Fallacies 25 Algebra I: 24.0
Chapter 2, Section 3: Mathematical Induction 28 Algebra I: 24.1, 24.2  Algebra II: 21.0
Chapter 2, Section 4: Induction with Positive Integers 31 Algebra I: 24.1; Algebra II: 21.0; Mathematical Analysis: 3.0
Chapter 3, Section 1: Advanced Fractions Issues 38 Algebra II: 7.0
Chapter 3, Section 2: Complex Fractions 43 Algebra II: 7.0
Chapter 3, Section 3: Complex Fractions with Terms Containing Negative Exponents 45 Algebra II: 7.0
Chapter 3, Section 4: Solving Equations That Contain Fractions 47 Algebra II: 7.0
               
Math 1012 Correlation to CA Mathematics Content Standards
                 
Section Page CA Standard(s)
Chapter 1, Section 1: Historical View of the Conic Sections 5 Algebra II: 16.0; Mathematical Analysis: 5.0
Chapter 1, Section 2: Circles 8 Algebra II: 16.0, 17.0; Mathematical Analysis: 5.0, 5.1
Chapter 1, Section 3: Parabola Basics 11 Algebra II: 9.0, 16.0; Mathematical Analysis: 5.0
Chapter 1, Section 4: Graphing Parabolas 14 Algebra II: 16.0, 17.0; Mathematical Analysis: 5.0. 5,1
Chapter 2, Section 1: Understanding Ellipses 20 Algebra II: 16.0; Mathematical Analysis: 5.0
Chapter 2, Section 2: The Ellipse Formula 23 Algebra II: 16.0; Mathematical Analysis: 5.0
Chapter 2, Section 3: Calculating Ellipse Standard Form 27 Algebra II: 16.0, 17.0; Mathematical Analysis: 5.0, 5.1
Chapter 2, Section 4: Ellipses Graphed 30 Algebra II: 16.0, 17.0; Mathematical Analysis: 5.0, 5.1
Chapter 3, Section 1: Hyperbola Basics 37 Algebra II: 16.0; Mathematical Analysis: 5.0
Chapter 3, Section 2: The Maps and Graphs of Hyperbolas 40 Algebra II: 16.0, 17.0; Mathematical Analysis: 5.0, 5.1
Chapter 3, Section 3: One More Form of Hyperbola 46 Algebra II: 16.0; Mathematical Analysis: 5.0
Chapter 3, Section 4: Practice Problems and Graphs 49 Algebra II: 16.0, 17.0; Mathematical Analysis: 5.0, 5.1
               
Correlation Analysis:
All standards are covered.

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