Number, Number Sense, and Operations Data Analysis and Probability

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1 Algebra 1 Unit 1 Numbers 3 weeks Number, Number Sense, and Operations Data Analysis and Probability NC Apply properties of operations and the real number system, and justify when they hold for a set of numbers NE Compare, order and determine equivalent forms of real numbers NF Explain the effects of operations on the magnitude of quantities NG Estimate, compute, and solve problems involving real numbers, including ratio, proportion and percent, and explain solutions NI DH DI DJ DK N9.1 Identify and justify whether properties (closure, identify, inverse, commutative, and associative) hold for a given set and operations; e.g., even integers and multiplication. N9.2 N9.3 N9.4 N9.5 N10.3 D9.7 D9.8 D9.9 D9.10 D10.8 Content: Variables, Expressions, Real Numbers, Properties of Real Numbers, Probability Model relationships using variables, expressions and equations Apply the order of operations and properties of real numbers Find theoretical and experimental probability Use permutations and combinations to find the number of outcomes of real-world events

2 Sections 1-1 Using Variables, 1-2 Exponents and Order of Operations, 1-3 Exploring Real Numbers, 1-4 Adding Real Numbers, 1-5 Subtracting Real Numbers, 1-6 Multiplying and Dividing Real Numbers, 1-7 Distributive Property, 1-8 Properties of Real Numbers, 4-5 Applying Rations to Probability, 4-6 Probability of Compound Events, 12-8 Counting Methods and Permutations, 12-9 Combinations Use Writing and Critical Thinking questions from each section as

3 Unit 2 Solving Linear Equations 3 weeks Data Analysis and Probability PF PD DC P9.6 P10.3 P10.6 D10.1 Content: Writing and Solving Equations, Using Formulas, Measures of Central Tendency Solving equations using properties of equality Solving problems by writing equations 2-1 Solving One-Step Equations, 2-2 Solving Two-Step Equations, 2-3 Solving Multi-Step Equations, 2-4 Equations with Variables on Both Sides, 2-5 Equations and Problem Solving, 2-6 Formulas, 2-7 Using Measures of Central Tendency Use Writing and Critical Thinking questions from each section as

4 Unit 3 Linear Inequalities and Absolute Value 3 weeks PF PD P9.6 P10.6 Content: Solving and Writing Linear Inequalities, Absolute Value Solving and graphing simple and compound inequalities Solving equations and inequalities involving absolute value 3-1 Inequalities and Their Graphs, 3-2 Solving Inequalities Using Addition and Subtraction, 3-3 Solving Inequalities Using Multiplication and Division, 3-4 Solving Multi-Step Inequalities, 3-5 Compound Inequalities, 3-6 Absolute Value Equations and Inequalities Use Writing and Critical Thinking questions from each section as

5 Unit 4 Polynomials 4 weeks PD P9.11 P9.12 Content: Operations on Polynomials Evaluate exponential expressions Learn and apply properties of exponents Learn to add, subtract, multiply, and divide polynomials 8-1 Zero and Negative Exponents, 8-2 Scientific Notation, 8-3 Multiplication Properties of Exponents, 8-4 More Multiplication Properties of Exponents, 8-5 Division Properties of Exponents, 9-1 Adding and Subtracting Polynomials, 9-2 Multiplying and Distributing Monomials, 9-3 Multiplying Binomials, 9-4 Multiplying Special Cases Use Writing and Critical Thinking questions from each section as

6 Unit 5 Factoring 4 weeks PD P9.12 Content: Factoring and Solving Quadratic Equations by Factoring Factoring polynomials Solving quadratic equations using factoring Factoring Trinomials, 9-8 Factoring by Grouping, 10-5 Factoring to Solve Quadratic Equations Use Writing and Critical Thinking questions from each section as

7 Unit 6 Rational Expressions and Equations 3 weeks Measurement MD M9.1 M9.2 M9.5 Content: Rational Expressions, and Simplifying and Solving Rational Equations Operations involving rational expressions Solve equations involving rational expressions 12-1 Inverse Variation, 12-3 Simplifying Rational Expressions, 12-4 Multiplying and Dividing Rational Expressions, 12-5 Dividing Polynomials, 12-6 Adding and Subtracting Rational Expressions, 12-7 Solving Rational Equations Use Writing and Critical Thinking questions from each section as

8 Unit 7 Linear Functions 3 weeks Data Analysis and Probability PB PF PJ PG DA DE DF DG P9.1 P9.3 P9.6 P9.8 P9.15 P10.1 P10.9 P10.10 P10.12 D9.1 D9.2 D9.3 D9.4 D9.5 D9.6 D10.2 D10.3 D10.4 D10.5 D10.6 Content: Functions, Slope and Rate of Change, Graphing Linear Functions, Writing Equations of Lines Read and use functional notation while modeling function rules Write linear and graph equations Find rate of change

9 Analyze parallel and perpendicular lines 1-9 Graphing on the Coordinate, 5-1 Relating Graphs to Events, 5-2 Relations and Functions, 5-3 Function Rules, Tables and Graphs, 5-4 Writing a Function Rule, 5-5 Direct Variation, 5-6 Describing Number Patterns, 6-1 Rate of Change and Slope, 6-2 Slope-Intercept Form, 6-3 Standard Form, 6-4 Point-Slope Form and Writing Linear Equations, 6-5 Parallel and Perpendicular Lines, 6-6 Scatter Plots and Equations of Lines, 6-7 Graphing Absolute Value Equations Use Writing and Critical Thinking questions from each section as

10 Unit 8 Systems of Equations and Inequalities 3 weeks PF PH P9.8 P10.7 P10.11 Content: Solving Systems of Equations and Inequalities Solve systems of equations and inequalities by methods, such as graphing, substitution, and elimination 7-1 Solving Systems by Graphing, 7-2 Solving Systems using Substitution, 7-3 Solving Systems using Elimination, 7-4 Applications of Linear Systems, 7-5 Linear Inequalities, 7-6 Systems of Linear Inequalities Use Writing and Critical Thinking questions from each section as

11 Unit 9 Irrational Numbers and Radical Expressions and Equations 4 weeks Number, Number Sense and Operations ND NI N10.1 N10.2 N10.4 Content: Simplifying Radicals, Operations with Radical Expressions Simplify and perform operations using radical expressions Apply properties of right triangles, such as Pythagorean Theorem and trigonometric functions Use distance and midpoint formulas 10-3 Finding and Estimating Square Roots, 11-1 Simplifying Radicals, 11-2 Pythagorean Theorem, 11-3 Distance and Midpoint Formula, 11-4 Operations with Radical Expressions, 11-5 Solving Radical Equations, 11-7 Trigonometric Ratios Use Writing and Critical Thinking questions from each section as

12 Unit 10 Quadratic Equations and Functions 4 weeks PA PB PC PD PE PG PI PJ P9.2 P9.3 P9.4 P9.5 P9.7 P9.10 P9.13 P9.14 P9.15 P10.2 P10.5 P10.10 Content: Solving and Graphing Quadratic Functions Solving and graphing quadratic equations using quadratic formula, completing the square, and using the square root property Use and apply exponential and square root functions 10-1 Exploring Quadratic Graphs, 10-2 Quadratic Functions, 10-4 Solving Quadratic Equations, 10-6 Completing the Square, 10-7 Quadratic Formula, 10-8 Using the Discriminant, 8-7 Exponential Functions, 8-8 Exponential Growth and Decay, 11-6 Graphing Square Root Functions, 10-9 Choosing a Linear, Quadratic, or Exponential Model

13 Use Writing and Critical Thinking questions from each section as

Algebra I. Course Outline

Algebra I. Course Outline Algebra I Course Outline I. The Language of Algebra A. Variables and Expressions B. Order of Operations C. Open Sentences D. Identity and Equality Properties E. The Distributive Property F. Commutative