Michigan Learning Standards for Algebra: Alignment to ...



|McDougal Littell Algebra I |[pic] |

|Chapter 1: Connections to Algebra | |

|1.1 Variables in Algebra |2.1 |

|1.2 Exponents and Powers |1.4 |

|1.3 Order of Operations |1.5 |

|1.4 Equations and Inequalities |2.1, 3.1, 3.2, 5.1 |

|1.5 A Problem Solving Plan Using Models |4.2 |

|1.6 Tables and Graphs: Exploring Data and Statistics |19.2 |

|1.7 An Introduction to Functions |9.1 |

|Chapter 2: Properties of Real Numbers | |

|2.1 The Real Number Line |1.1 |

|2.2 Addition of Real Numbers |1.1, 1.2, 1.3 |

|2.3 Subtraction of Real Numbers |1.1, 1.2, 1.3 |

|2.4 Adding and Subtracting Matrices |-- |

|2.5 Multiplication of Real Numbers |1.1, 1.2, 1.3 |

|2.6 The Distributive Property |1.5, 2.3 |

|2.7 Division of Real Numbers |1.1, 1.2, 1.3 |

|2.8 Probability and Odds |20.2 |

|Chapter 3: Solving Linear Equations | |

|3.1 Solving Equations Using Addition and Subtraction |3.1, 3.2, 3.3 |

|3.2 Solving Equations Using Multiplication and Division |3.1, 3.2, 3.3 |

|3.3 Solving Multi-Step Equations |3.4, 3.5 |

|3.4 Solving Equations With Variables on Both Sides |3.5 |

|3.5 Linear Equations and Problem Solving |4.1, 4.2, 4.3, 4.4 |

|3.6 Solving Decimal Equations |3.2, 3.3, 3.4, 3.5 |

|3.7 Formulas and Functions |3.6, 9.3, 9.5 |

|3.8 Rates, Ratios, and Percents |3.5, 4.3, 4.4, 16.1 |

|Chapter 4: Graphing Linear Equations and Functions | |

|4.1 Coordinates and Scatter Plots |7.1, 9.4, 19.4 |

|4.2 Graphing Linear Equations |7.1, 7.2 |

|4.3 Quick Graphs Using Intercepts |7.2 |

|4.4 The Slope of a Line |7.2, 8.1 |

|4.5 Direct Variation |16.2 |

|4.6 Quick Graphs Using Slope-Intercept Form |7.2 |

|4.7 Solving Linear Equations Using Graphs |7.4 |

|4.8 Functions and Relations |9.1, 9.2, 9.3, 9.4, 9.5 |

|Chapter 5: Writing Linear Equations | |

|5.1 Writing Linear Equations in Slope-Intercept Form |8.2 |

|5.2 Writing Linear Equations Given the Slope and a Point |8.3, 8.4 |

|5.3 Writing Linear Equations Given Two Points |8.3, 8.4 |

|5.4 Fitting a Line to Data |19.4 |

|5.5 Point-Slope Form of a Linear Equation |8.3, 8.4 |

|5.6 The Standard Form of a Linear Equation |8.4 |

|5.7 Predicting With Linear Models |7.4, 9.5, 19.4, 19.5 |

|Chapter 6: Solving and Graphing Linear Inequalities | |

|6.1 Solving One-Step Linear Inequalities |5.1, 5.2, 5.7 |

|6.2 Solving Multi-Step Linear Inequalities |5.3, 5.4, 5.7 |

|6.3 Solving Compound Inequalities |5.5, 5.6, 5.7 |

|6.4 Solving Absolute-Value Equation and Inequalities |6.1, 6.2, 6.3, 6.4, 6.5 |

|6.5 Graphing Linear Inequalities in Two Variables |7.3 |

|6.6 Stem-and-Leaf Plots and Mean, Median, and Mode |19.1 |

|6.7 Box-and-Whisker Plots |19.3 |

|Chapter 7: Systems of Linear Equations and Inequalities | |

|7.1 Solving Linear Systems by Graphing |10.1 |

|7.2 Solving Linear Systems by Substitution |10.3 |

|7.3 Solving Linear Systems by Linear Combinations |10.2 |

|7.4 Applications of Linear Systems |10.5 |

|7.5 Special Types of Linear Systems |10.1, 10.2, 10.3 |

|7.6 Solving Systems of Linear Inequalities |10.4 |

|Chapter 8: Exponents and Exponential Functions | |

|8.1 Multiplication Properties of Exponents |11.1 |

|8.2 Zero and Negative Exponents |11.1 |

|8.3 Division Properties of Exponents |11.1 |

|8.4 Scientific Notation |11.2 |

|8.5 Exponential Growth Functions |-- |

|8.6 Exponential Decay Functions |-- |

|Chapter 9: Quadratic Equations and Functions | |

|9.1 Solving Quadratic Equations by Finding Square Roots |13.2 |

|9.2 Simplifying Radicals |17.1 |

|9.3 Graphing Quadratic Functions |13.5, 14.1, 14.2, 14.3 |

|9.4 Solving Quadratic Equations by Graphing |13.5 |

|9.5 Solving Quadratic Equations by the Quadratic Formula |13.5 |

|9.6 Applications of the Discriminant |13.5 |

|9.7 Graphing Quadratic Inequalities |-- |

|9.8 Comparing Linear, Exponential, and Quadratic Models |7.1, 9.4, 13.1, 14.1 |

| |Exponential not covered. |

|Chapter 10: Polynomials and Factoring | |

|10.1 Adding and Subtracting Polynomials |2.4, 11.3 |

|10.2 Multiplying Polynomials |11.4, 11.5 |

|10.3 Special Products of Polynomials |11.5 |

|10.4 Solving Polynomial Equations in Factored Form |13.3 |

|10.5 Factoring x2 + bx + c |12.4 |

|10.6 Factoring ax2 + bx + c |12.5 |

|10.7 Factoring Special Products |12.3 |

|10.8 Factoring Using the Distributive Property |12.1, 12.2 |

|Chapter 11: Rational Equations and Functions | |

|11.1 Ratio and Proportion |3.5, 15.1, 16.1 |

|11.2 Percents |4.2, 16.4 |

|11.3 Direct and Inverse Variation |16.2, 16.3 |

|11.4 Simplifying Rational Expressions |15.2 |

|11.5 Multiplying and Dividing Radical Expressions |15.3 |

|11.6 Adding and Subtracting Rational Expressions |15.4 |

|11.7 Dividing Polynomials |11.6, 11.7, 12.7 |

|11.8 Rational Equations and Functions |16.1 |

|Chapter 12: Radicals and Connections to Geometry | |

|12.1 Square-Root Functions |-- |

|12.2 Operations With Radical Expressions |17.1, 17.2, 17.3, 17.4 |

|12.3 Solving Radical Equations |18.1, 18.2 |

|12.4 Completing the Square |13.4 |

|12.5 The Pythagorean Theorem and its Converse |13.6, 14.3, 18.3, 18.4 |

|12.6 The Distance and Midpoint Formulas |18.4 |

|12.7 Trigonometic Ratios |-- |

|12.8 Logical Reasoning: Proof |3.1, 3.2, 3.3, 3.4 |

-- This topic is not directly addressed by Algebra’scool.

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