ALGEBRA I CURRICULUM GUIDE Overview and Scope & Sequence

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1 ALGEBRA I CURRICULUM GUIDE Overview and Scope & Sequence Loudoun County Public Schools (Additional curriculum information and resources for teachers can be accessed through CMS)

2 Algebra I Nine Weeks Overview 1 st Quarter 2 nd Quarter 3 rd Quarter 4 th Quarter Unit 1 Expressions A.1 A.3 Unit 2 Solving Linear Equations and Inequalities A.4 a, b, d, f A.5 a, b, c Unit 3 Statistics A.10 A.9 Unit 4 Characteristics of Linear and Quadratic Functions (continues into Q2) A.7 Unit 4 Characteristics of Linear and Quadratic Functions, con t. A.7 Unit 5 Graphing Linear Equations and Inequalities Understanding Slope A.6 a Unit 6 Linear Equations and Applications A.6 b A.11 Unit 7 Direct and Inverse Variation A.8 Unit 8 Systems of Linear Equations and Inequalities A.4 e, f A.5 c, d Unit 9 Polynomial Operations (add, subtract, and multiply) A.2 a, b Unit 10 Factoring and Polynomial Division A.2 c, b Unit 11 Quadratic Functions and Applications (continues in Q4) A.7 (spiral back to A.7) A.4 a, b, c, f A.11 Unit 11 Quadratic Functions and Applications, con t A.7 (spiral back to A.7) A.4 a, b, c, f A.11 After SOL Topics A.LC.7 A.LC.1 A.LC.5 21 blocks 21 blocks 21 blocks 22 blocks

3 Quarter 1: 21 blocks total Scope & Sequence Standard Reporting Category Topic Unit 1 Expressions 3 A.1 Expressions and Operations Translating verbal situations & evaluating expressions (include the Real System) 2 A.3 Expressions and Operations Evaluate, estimate and simplify square and cube roots of whole numbers and square roots of monomial algebraic expressions Unit 2 Solving Linear Equations and Inequalities 3 A.4 Equations and Inequalities Solve and justify multi-step equations algebraically and graphically a,b,d,f Properties of Equality Properties of Real s Translate and solve one-variable multi-step equations Solve real-world problems involving equations 2 A.5 a,b,c Equations and Inequalities Solve literal equations Solve and justifying multi-step inequalities algebraically and graphically Properties of Inequality Solve and graph solutions of multi-step linear inequalities Solve real-world problems involving inequalities Unit 3 Statistics 2 A.10 Functions and Statistics Box and Whisker Plots (review measures of central tendency) 4 A.9 Functions and Statistics Calculate, interpret, and analyze variance, mean absolute deviation, standard deviation, and z-scores. Unit 4 Characteristics of Linear and Quadratic Functions (continued into Quarter 2) 2 A.7 Functions and Statistics Characteristics of quadratic and linear function families (Using graphical, numerical, and verbal representations) Determine whether a relation is a function Identify and describe domain and range Make connections between different representations of functions. 3 Review and Assessments

4 Quarter 2: 21 blocks total Standard Reporting Category Topic 3 A.7 Functions and Statistics Characteristics of quadratic and linear function families (Using graphical, numerical, and verbal representations. Solve for each of the following algebraically and graphically. Connect these concepts and skills to those presented in Math 7 and Math 8.) Zeros of a function x- and y-intercepts Finding the value of a function given the domain of the function Identify general characteristics of linear and quadratic function families. Make connections between different representations of functions. Unit 5 Graphing Linear Equations and Inequalities Understanding Slope 7 A.6 a Equations and Inequalities Graphing equations and inequalities Slope as rate of change Unit 6 Linear Equations and Applications 3 A.6 b Equations and Inequalities Writing linear equations (using graphical, numerical, and verbal representations) Equations as one of the representations for a function. 1 A.11 Functions and Statistics Line of best fit Identifying linear relationships and non-linear relationships Unit 7 Direct and Inverse Variation 4 A.8 Functions and Statistics Direct and inverse variation 3 Review and Assessments

5 Quarter 3: 21 blocks total Standard Reporting Category Topic 5 A.4 e, f 2 A.5 c,d Unit 8 Systems of Linear Equations and Inequalities Equations and Inequalities Systems of equations Equations and Inequalities Systems of inequalities Unit 9 Polynomial Operations (add, subtract and multiply) 3 A.2 a Expressions and Operations Applying laws of exponents to perform operations on expressions 3 A.2 b Expressions and Operations Polynomials operations add, subtract and multiply Unit 10 Factoring and Polynomial Division 4 A.2 c Expressions and Operations Factor polynomials 1 A.2 b Expressions and Operations Polynomials operations division Unit 11 Quadratic Functions and Applications (continued into Quarter 4) A.7 Functions and Statistics **Spiral back to A.7 Investigating characteristics of linear and quadratic functions algebraically and graphically** 1 A.4 c Expressions and Operations Solving quadratic equations algebraically and graphically. Quadratic functions - graphing 2 Review and Assessments

6 Quarter 4: 22 blocks total Standard Reporting Category 3 A.4 Equations and Inequalities a, b, c, f Topic Solving Quadratic equations algebraically and graphically. Quadratic functions Solve using Graphing Factoring Quadratic Formula 1 A.11 Functions and Statistics Curve of best fit Identifying situations that follow a quadratic pattern and those 5 SOL Review 11 After SOL Topics Compound Inequalities Absolute Value Equations & Inequalities Simplifying Radical Expressions (Rationalize the denominator) Pythagorean Theorem & Midpoint/Distance Formulas 2 Review and Assessments Additional information about the Standards of Learning can be found in the VDOE Curriculum Framework (click link below)

ALGEBRA I CURRICULUM GUIDE Overview and Scope & Sequence

ALGEBRA I CURRICULUM GUIDE Overview and Scope & Sequence Loudoun County Public Schools 2017-2018 (Additional curriculum information and resources for teachers can be accessed through CMS and VISION) 1