2018-19 CURRICULUM CATALOG
Table of Contents Course Overview... 1 UNIT 1: FOUNDATIONS OF ALGEBRA... 1 UNIT 2: LINEAR EQUATIONS... 1 UNIT 3: FUNCTIONS... 2 UNIT 4: INEQUALITIES... 2 UNIT 5: LINEAR SYSTEMS... 2 UNIT 6: SEMESTER EXAM... 2 UNIT 7: POLYNOMIALS... 3 UNIT 8: EXPONENTIAL FUNCTIONS AND RADICAL EXPRESSIONS... 3 UNIT 9: QUADRATICS... 3 UNIT 10: STATISTICS... 3 UNIT 11: SEMESTER EXAM... 4 UNIT 12: FINAL EXAM... 4 2018 Glynlyon, Inc. i
Course Overview Algebra I is a full year, high school credit course that is intended for the student who has successfully mastered the core algebraic concepts covered in the prerequisite course, Pre-Algebra. Within the Algebra I course, the student will explore basic algebraic fundamentals such as evaluating, creating, solving and graphing linear, exponential, and quadratic functions. Upon successfully completing the course, the student should have mastered the following concepts: Solve and graph single-variable and linear equations and inequalities. Solve linear, quadratic and exponential systems of equations using graphing, substitution or elimination. Evaluate and solve quadratic equations using graphing, factoring, the quadratic formula, and by completing the square. Interpret and apply the relationship between the independent and dependent variable in linear, exponential, and quadratic functions through algebraic modeling and applications. Form an equation of a line using the slope-intercept, point-slope and standard forms of a line. Apply basic fundamental rules of rational exponents. Be able to construct a formula or equation necessary to solve algebraic word problems involving area, perimeter, and linear systems of equations, basic statistical reasoning, distance, and compounding interest. Simplify and perform operations with radical expressions such as addition and subtraction, multiplication and division. Perform operations with polynomials such as addition and subtraction, multiplication, and factoring. Interpret and analyze measures of central tendency, scatter plots, and frequency tables. UNIT 1: FOUNDATIONS OF ALGEBRA 1. Course Overview Algebra I 9. Distributive Property 2. Variables and Expressions 10. Simplifying Expressions 3. Exponents and the Order of Operations 11. Quiz 2: Properties of the Real Numbers 4. Evaluating Expressions 12. Performance Task 5. Classifying and Comparing Numbers 13. Alternate Performance Task* 6. Absolute Value 14. Special Project* 7. Quiz 1: Algebra and the Real Numbers 15. Test 8. Commutative and Associative Properties 16. Alternate Test* UNIT 2: LINEAR EQUATIONS 1. Open Sentences 14. Using a Chart 2. Addition Property of Equality 15. Quiz 3: Word Problems 3. Multiplication Property of Equality 16. Percent Problems 4. Two-Step Equations 17. Mixture and Interest Problems 5. Quiz 1: Solving Equations 18. Number Problems 6. Variables on Both Sides 19. Motion Problems 7. Combining Like Terms 20. Miscellaneous Problems 8. The Distributive Property 21. Quiz 4: Application Problems 9. Literal Equations 22. Performance Task 10. Quiz 2: Multi-Step Equations 23. Alternate Performance Task* 11. Writing Equations from Word Problems 24. Special Project* 12. Two Unknowns 25. Test 13. More than Two Unknowns 26. Alternate Test* 2018 Glynlyon, Inc. 1
UNIT 3: FUNCTIONS 1. The Coordinate Plane 15. Piecewise Defined Functions 2. Identifying Functions 16. Graphs of Piecewise Functions 3. Function Notation 17. Quiz 3: Graphing Linear Functions 4. Modeling Functions 18. Equations: Slope-Intercept 5. Quiz 1: Function Basics 19. Writing Linear Equations (1) 6. Writing a Function Rule 20. Writing Linear Equations (2) 7. Patterns and Arithmetic Sequences 21. Writing Linear Equations (3) 8. Arithmetic Sequences 22. Quiz 4: Writing Linear Equations 9. Direct Variation 23. Performance Task 10. Slope 24. Alternate Performance Task* 11. Quiz 2: Patterns 25. Special Project* 12. Linear Equations 26. Test 13. Slope-Intercept Form 27. Alternate Test* 14. Absolute Value Functions UNIT 4: INEQUALITIES 1. Graphing 10. Quiz 2: Multi-Step Inequalities 2. Addition Property of Inequality 11. Compound Inequality Graphs 3. Multiplication Property of Inequality 12. Solving Compound Inequalities 4. One-Step Inequalities 13. Inequalities with Two Variables 5. Quiz 1: One-Step Inequalities 14. Solving Inequalities 6. Multi-Step Inequalities 15. Quiz 3: Compound Inequalities 7. Two-Step Inequalities 16. Special Project* 8. Problem Solving 17. Test 9. Performance Task 18. Alternate Test* UNIT 5: LINEAR SYSTEMS 1. Solution of a System 13. Quiz 2: Solving Linear Systems Algebraically 2. Graphing Systems of Equations 14. Using Two Variables 3. Systems of Inequalities 15. Money and Unit Pricing 4. Solving Two-Order Inequalities 16. Using Formulas 5. Applications of Inequalities 17. Applications of Systems of Equations 6. Performance Task 18. Quiz 3: Representing Problems Using a Linear System 7. Alternate Performance Task* 19. Performance Task 8. Quiz 1: Solving Linear Systems by Graphing 20. Alternate Performance Task* 9. Substitution Method 21. Special Project* 10. Addition Method 22. Test 11. Matrices 23. Alternate Test* 12. Fractional Coefficients Algebra I (2052) WA UNIT 6: SEMESTER EXAM 1. Exam 2. Alternate Exam* 2018 Glynlyon, Inc. 2
UNIT 7: POLYNOMIALS 1. Adding and Subtracting Polynomials 12. Factoring Trinomials (1) 2. Grouping Symbols 13. Factoring Trinomials (2) 3. Quiz 1: Adding and Subtracting Polynomials 14. Special Cases 4. Multiplying by a Monomial 15. Complete Factorization 5. Multiplying Polynomials 16. Quiz 3: Factoring 6. F.O.I.L. and Special Cases 17. Performance Task 7. Dividing by a Monomial 18. Alternate Performance Task 8. Quiz 2: Multiplying and Dividing Polynomials 19. Special Project* 9. Greatest Common Factor 20. Test 10. Factoring Out the GCF 21. Alternate Test* 11. Factoring by Grouping UNIT 8: EXPONENTIAL FUNCTIONS AND RADICAL EXPRESSIONS 1. Multiplication 13. Exponential Sequences 2. Negative Exponents 14. Recursive Sequences 3. Exponential Expressions 15. Project: Recursive Sequences 4. Raising to a Power 16. Quiz 3: Sequences 5. Division 17. Simplifying Radicals 6. Quiz 1: Exponential Expressions 18. Multiplying Radicals 7. Exponential Equations 19. Dividing Radicals 8. Exponential Functions 20. Adding and Subtracting Radicals 9. Transformations (2) 21. Quiz 4: Radical Expressions 10. Systems of Linear and Exponential Equations 22. Special Project* 11. Quiz 2: Exponential Functions 23. Test 12. Geometric Sequences 24. Alternate Test* UNIT 9: QUADRATICS 1. Quadratic Functions 12. Quadratic Formula (1) 2. Transformations 13. Quadratic Formula (2) 3. Line of Symmetry 14. Systems of Equations 4. Quiz 1: Graphing Quadratic Functions 15. Comparing Functions 5. Solving by Factoring 16. Function Composition 6. Square Root Method 17. Quiz 3: More Solving Quadratic Equations 7. Applications of Quadratics 18. Performance Task 8. Rate of Change 19. Alternate Performance Task* 9. Completing the Square 20. Special Project* 10. Completing the Square* 21. Test 11. Quiz 2: Solving Quadratic Equations 22. Alternate Test* UNIT 10: STATISTICS 1. Measures of Central Tendency 8. Performance Task 2. Dispersion 9. Alternate Performance Task* 3. Quiz 1: Describing and Displaying Data 10. Special Project* 4. Interpreting Data 11. Course Survey 5. Scatter Plots 12. Test 6. Project: Data Analysis 13. Alternate Test* 7. Quiz 2: Scatter Plots 2018 Glynlyon, Inc. 3
UNIT 11: SEMESTER EXAM 1. Exam 2. Alternate Exam* UNIT 12: FINAL EXAM 1. Exam 2. Alternate Exam* (*) Indicates alternative assignment 2018 Glynlyon, Inc. 4