Mini-Mod 1 Whole Numbers Topic 1.1 Whole Numbers Topic 1.2 Rounding Topic 1.3 Adding Whole Numbers; Estimation Topic 1.4 Subtracting Whole Numbers Topic 1.5 Basic Problem Solving Topic 1.6 Multiplying Whole Numbers Topic 1.7 Dividing Whole Numbers Topic 1.8 More with Multiplying and Dividing Topic 1.9 Exponents Topic 1.10 Order of Operations and Whole Numbers Topic 1.11 More Problem Solving Mini-Mod 2 Factors and Fractions Topic 2.1 Factors Topic 2.2 Prime Factorization Topic 2.3 Understanding Fractions Topic 2.4 Simplifying Fractions - GCF and Factors Method Topic 2.5 Simplifying Fractions - Prime Factors Method Topic 2.6 Multiplying Fractions Topic 2.7 Dividing Fractions Mini-Mod 3 LCM and Fractions Topic 3.1 Finding the LCM - List Method Topic 3.2 Finding the LCM - GCF Method Topic 3.3 Finding the LCM - Prime Factor Method Topic 3.4 Writing Fractions with an LCD Topic 3.5 Adding and Subtracting Like Fractions Topic 3.6 Adding and Subtracting Unlike Fractions Topic 3.7 Order of Operations and Fractions Mini-Mod 4 Mixed Numbers Topic 4.1 Changing a Mixed Number to an Improper Fraction Topic 4.2 Changing an Improper Fraction to a Mixed Number Topic 4.3 Multiplying Mixed Numbers Topic 4.4 Dividing Mixed Numbers Topic 4.5 Adding Mixed Numbers Topic 4.6 Subtracting Mixed Numbers Topic 4.7 Adding and Subtracting Mixed Numbers - Improper Fractions Mini-Mod 5 Operations with Decimals Topic 5.1 Decimal Notation Topic 5.2 Comparing Decimals Topic 5.3 Rounding Decimals Topic 5.4 Adding and Subtracting Decimals Topic 5.5 Multiplying Decimals Topic 5.6 Dividing Decimals Topic 5.7 Order of Operations and Decimals Topic 5.8 Converting Fractions to Decimals Topic 5.9 Converting Decimals to Fractions Mini-Mod 6 Ratios, Rates, and Percents Topic 6.1 Ratios Topic 6.2 Rates Topic 6.3 Proportions Topic 6.4 Percent Notation Topic 6.5 Percent and Decimal Conversions Topic 6.6 Percent and Fraction Conversions Topic 6.7 The Percent Equation Topic 6.8 The Percent Proportion Topic 6.9 Percent Applications Mini-Mod 7 U.S. and Metric Measurement Topic 7.1 U.S. Length Topic 7.2 U.S. Weight and Capacity Topic 7.3 Metric Length Topic 7.4 Metric Mass and Capacity Topic 7.5 Converting between U.S. and Metric Units Topic 7.6 Time and Temperature Mini-Mod 8 Introduction to Geometry Topic 8.1 Lines and Angles Topic 8.2 Figures Topic 8.3 Perimeter - Definitions and Units Topic 8.4 Finding Perimeter Topic 8.5 Area - Definitions and Units Topic 8.6 Finding Area Topic 8.7 Understanding Circles Topic 8.8 Finding Circumference Topic 8.9 Finding Area - Circles Mini-Mod 9 More Geometry Topic 9.1 Volume - Definitions and Units Topic 9.2 Finding Volume Topic 9.3 Square Roots Topic 9.4 The Pythagorean Theorem Topic 9.5 Similar Figures Topic 9.6 Finding Missing Lengths Mini-Mod 10 Statistics Topic 10.1 Bar Graphs Topic 10.2 Line Graphs Topic 10.3 Circle Graphs Topic 10.4 Mean Topic 10.5 Median Topic 10.6 Mode Mini-Mod 11 Real Numbers and Variables Topic 11.1 Introduction to Real Numbers Topic 11.2 Graphing Rational Numbers Using a Number Line Topic 11.3 Translating Phrases into Algebraic Inequalities Topic 11.4 Finding the Absolute Value of a Real Number Mini-Mod 12 Adding and Subtracting with Real Numbers Topic 12.1 Adding Real Numbers with the Same Sign Topic 12.2 Adding Real Numbers with Different Signs Topic 12.3 Finding the Opposite of a Real Number Topic 12.4 Subtracting Real Numbers Topic 12.5 Addition Properties of Real Numbers Mini-Mod 13 Multiplying and Dividing with Real Numbers Topic 13.1 Multiplying Real Numbers Topic 13.2 Finding the Reciprocal of a Real Number Topic 13.3 Dividing Real Numbers Topic 13.4 Exponents and the Order of Operations Topic 13.5 The Distributive Property Topic 13.6 Multiplication Properties of Real Numbers Mini-Mod 14 Variables and Expressions Topic 14.1 Introduction to Expressions Topic 14.2 Evaluating Algebraic Expressions Topic 14.3 Simplifying Expressions Topic 14.4 Simplifying Expressions with Parentheses Topic 14.5 Translating Words into Symbols Mini-Mod 15 Introduction to Solving Linear Equations Topic 15.1 Translating Words into Equations Topic 15.2 Linear Equations and Solutions Topic 15.3 Using the Addition Property of Equality Topic 15.4 Using the Multiplication Property of Equality Topic 15.5 Using the Addition and Multiplication Properties Together Mini-Mod 16 Solving More Linear Equations and Inequalities Topic 16.1 Solving Equations with Variables on Both Sides Topic 16.2 Solving Equations with Parentheses Topic 16.3 Solving Equations with Fractions Topic 16.4 Solving a Variety of Equations Topic 16.5 Solving Equations and Formulas for a Variable Topic 16.6 Solving and Graphing Linear Inequalities Mini-Mod 17 Introduction to Graphing Linear Equations Topic 17.1 The Rectangular Coordinate System Topic 17.2 Graphing Linear Equations by Plotting Points Topic 17.3 Graphing Linear Equations Using Intercepts Topic 17.4 Graphing Linear Equations of the Form x=a, y=b, and y=mx Mini-Mod 18 Slope and the Equation of a Line Topic 18.1 The Slope of a Line Topic 18.2 Slope-Intercept Form Topic 18.3 Graphing Lines Using the Slope and y-Intercept Topic 18.4 Writing Equations of Lines Using a Point and Slope Topic 18.5 Writing Equations of Lines Using Two Points Mini-Mod 19 Introduction to Functions Topic 19.1 Relations and Functions Topic 19.2 The Vertical Line Test Topic 19.3 Function Notation Topic 19.4 Evaluating Functions Topic 19.5 Piecewise Functions Mini-Mod 20 Solving Systems of Linear Equations Topic 20.1 Introduction to Systems of Linear Equations Topic 20.2 Solving by the Graphing Method Topic 20.3 Solving by the Substitution Method Topic 20.4 Solving by the Elimination Method Mini-Mod 21 Introduction to Polynomials and Exponent Rules Topic 21.1 Introduction to Polynomials Topic 21.2 Addition of Polynomials Topic 21.3 Subtraction of Polynomials Topic 21.4 Product Rule for Exponents Topic 21.5 Power Rule for Exponents Mini-Mod 22 Multiplying Polynomials Topic 22.1 Multiplying by a Monomial Topic 22.2 Multiplying Binomials Topic 22.3 Multiplying Polynomials Topic 22.4 Multiplying the Sum and Difference of Two Terms Topic 22.5 Squaring Binomials Mini-Mod 23 Dividing Polynomials and More Exponent Rules Topic 23.1 The Quotient Rule Topic 23.2 Integer Exponents Topic 23.3 Scientific Notation Topic 23.4 Dividing a Polynomial by a Monomial Topic 23.5 Dividing a Polynomial by a Binomial Mini-Mod 24 Factoring Polynomials Topic 24.1 Greatest Common Factor Topic 24.2 Factoring by Grouping Topic 24.3 Factoring Trinomials of the Form Topic 24.4 Factoring Trinomials of the Form Topic 24.5 More Factoring of Trinomials Mini-Mod 25 More Factoring and Quadratic Equations Topic 25.1 Special Cases of Factoring Topic 25.2 Factoring Polynomials Topic 25.3 Solving Quadratic Equations by Factoring Topic 25.4 Applications Mini-Mod 26 Introduction to Rational Expressions Topic 26.1 Undefined Rational Expressions Topic 26.2 Simplifying Rational Expressions Topic 26.3 Multiplying Rational Expressions Topic 26.4 Dividing Rational Expressions Mini-Mod 27 Adding and Subtracting Rational Expressions Topic 27.1 Adding Like Rational Expressions Topic 27.2 Subtracting Like Rational Expressions Topic 27.3 Finding the Least Common Denominator for Rational Expressions Topic 27.4 Adding and Subtracting Unlike Rational Expressions Mini-Mod 28 Complex Rational Expressions and Rational Equations Topic 28.1 Simplifying Complex Rational Expressions by Adding and Subtracting Topic 28.2 Simplifying Complex Rational Expressions by Multiplying by the LCD Topic 28.3 Solving Rational Equations Topic 28.4 Direct Variation Topic 28.5 Inverse Variation Topic 28.6 Applications Mini-Mod 29 Roots and Radicals Topic 29.1 Square Roots Topic 29.2 Higher-Order Roots Topic 29.3 Simplifying Radical Expressions Topic 29.4 Rational Exponents Topic 29.5 The Pythagorean Theorem Topic 29.6 The Distance Formula Mini-Mod 30 Operations of Radical Expressions Topic 30.1 Adding and Subtracting Radical Expressions Topic 30.2 Multiplying Radical Expressions Topic 30.3 Dividing Radical Expressions Topic 30.4 Rationalizing the Denominator Topic 30.5 Solving Radical Equations Mini-Mod 31 Solving Quadratic Equations Topic 31.1 Introduction to Solving Quadratic Equations Topic 31.2 Solving Quadratic Equations by Factoring Topic 31.3 Solving Quadratic Equations using the Square Root Property Topic 31.4 Solving Quadratic Equations by Completing the Square Topic 31.5 Solving Quadratic Equations using the Quadratic Formula Mini-Mod 32 Graphing Quadratic Equations Topic 32.1 Introduction to Graphing Quadratic Equations Topic 32.2 Finding the Vertex of a Quadratic Equation Topic 32.3 Finding the Intercepts of a Quadratic Equation Topic 32.4 Graphing Quadratic Equations Summary Mini-Mod 33 Compound and Quadratic Inequalities Topic 33.1 Sets Topic 33.2 Interval Notation Topic 33.3 Graphing Compound Inequalities Topic 33.4 Solving Compound Inequalities Topic 33.5 Solving Quadratic Inequalities Mini-Mod 34 Absolute Value Equations and Inequalities Topic 34.1 Introduction to Absolute Value Equations Topic 34.2 Solving Basic Absolute Value Equations Topic 34.3 Solving Multiple Absolute Value Equations Topic 34.4 Solving Absolute Value Inequalities Appendix A Conic Sections Topic A.1 The Circle Topic A.2 The Parabola Topic A.3 The Ellipse Topic A.4 The Hyperbola Appendix B Logarithmic and Exponential Functions Topic B.1 Evaluating Exponential and Logarithmic Expressions Topic B.2 Graphing Exponential Functions Topic B.3 Solving Simple Exponential Equations and Applications Topic B.4 Converting Between Exponential and Logarithmic Forms Topic B.5 Solving Simple Logarithmic Equations Topic B.6 Graphing Logarithmic Functions Appendix C Solving Logarithmic and Exponential Equations Topic C.1 Properties of Logarithms Topic C.2 Common and Natural Logarithms Topic C.3 Change of Base of Logarithms Topic C.4 Solving Exponential Equations and Applications Topic C.5 Solving Logarithmic Equations and Applications Appendix D Additional Topics Topic D.1 The Midpoint Formula Topic D.2 Writing Equations of Parallel and Perpendicular Lines Topic D.3 Graphing Linear Inequalities in Two Variables Topic D.4 Systems of Linear Inequalities Topic D.5 Synthetic Division Topic D.6 Complex Numbers Topic D.7 Matrices and Determinants Topic D.8 Cramer,s Rule Topic D.9 Solving Systems of Linear Equations Using Matrices Topic D.10 Basic Probability and Statistics Topic D.11 Applications of Systems of Linear Equations
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