CURRICULUM CATALOG. Algebra I (3130) VA

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1 CURRICULUM CATALOG

2 Table of Contents COURSE OVERVIEW... 1 UNIT 1: FOUNDATIONS OF ALGEBRA... 1 UNIT 2: LINEAR EQUATIONS... 2 UNIT 3: FUNCTIONS... 2 UNIT 4: INEQUALITIES AND LINEAR SYSTEMS... 2 UNIT 5: SEMESTER EXAM... 3 UNIT 6: POLYNOMIALS... 3 UNIT 7: EXPONENTS AND ROOTS... 3 UNIT 8: QUADRATICS... 3 UNIT 9: STATISTICS... 4 UNIT 10: SEMESTER EXAM... 4 UNIT 11: FINAL EXAM Glynlyon, Inc. i

3 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, Grade Eight Math. Within the Algebra I course, the student will explore basic algebraic fundamentals such as evaluating, creating, solving, and graphing linear and quadratic functions. Foundations of Algebra: Student will identify different real number properties, and how to use them to simplify and evaluate algebraic expressions. Linear Equations: Student will translate word problems into algebraic equations and solve them using real number properties. Functions: Student will understand the characteristics of linear functions, representing them both algebraically and graphically. Inequalities and Linear Systems: Student will write, graph, and solve inequalities using real number properties. In addition, the student will determine the solution of a pair of linear equations or inequalities, graphically or algebraically. Polynomials: Student will add, subtract, multiply, and divide monomials and polynomials, as well as factor polynomials using several different methods. Exponents and Roots: Student will simplify exponential expressions using the rules of exponents. In addition, the student will apply their understanding of exponents to explore exponential functions. Quadratics: Student will identify, write, and graph quadratic functions and solve quadratic equations and inequalities using several different methods. Statistics: Student will determine the central tendencies of a given data set, as well as use a linear or quadratic function to model and describe the set. Unit 1: FOUNDATIONS OF ALGEBRA 1. Course Overview 11. Commutative and Associative Properties 2. Variables and Expressions 12. Distributive Property 3. Exponents and Order of Operations 13. Simplifying Expressions 4. Evaluating Expressions 14. Quiz 3 5. Quiz Performance Task 6. Classifying and Comparing Numbers 16. Alternate Performance Task* 7. Adding and Subtracting Signed Numbers 17. Special Project* 8. Multiplying and Dividing Signed Numbers 18. Test 9. Absolute Value 19. Alternate Test* 10. Quiz Glynlyon, Inc. 1

4 Unit 2: LINEAR EQUATIONS 1. Open Sentences 15. More than Two Unknowns 2. Addition Property of Equality 16. Quiz 3 3. Multiplication Property of Equality 17. Using a Chart 4. Two-Step Equations 18. Percent Problems 5. Quiz Mixture and Interest Problems 6. Variables on Both Sides 20. Number Problems 7. Combining Like Terms 21. Motion Problems 8. The Distributive Property 22. Quiz 4 9. Solving Equations with Special Solutions 23. Performance Task 10. Quiz Alternate Performance Task* 11. Literal Equations 25. Special Project* 12. Literal Expressions 26. Test 13. Writing Equations from Word Problems 27. Alternate Test* 14. Two Unknowns Unit 3: FUNCTIONS 1. The Coordinate Plane 13. Absolute Value Functions 2. Identifying Functions 14. Function Relationships 3. Function Notation 15. Quiz 3 4. Modeling Functions 16. Writing Linear Equations (1) 5. Quiz Writing Linear Equations (2) 6. Writing a Function Rule 18. Writing Linear Equations (3) 7. Direct Variation 19. Quiz 4 8. Inverse Variation 20. Performance Task 9. Slope 21. Alternate Performance Task* 10. Quiz Special Project* 11. Linear Equations 23. Test 12. Slope-Intercept Form 24. Alternate Test* Unit 4: INEQUALITIES AND LINEAR SYSTEMS 1. Graphing 13. Substitution Method 2. Addition Property of Inequality 14. Addition Method 3. Multiplication Property of Inequality 15. Using Two Variables 4. Multi-Step Inequalities 16. Money and Unit Pricing 5. Problem Solving 17. Using Formulas 6. Quiz Performance Task 7. Inequalities with Two Variables 19. Quiz 3 8. Solution of a System 20. Performance Task 9. Graphing Systems of Equations 21. Alternate Performance Task* 10. Systems of Inequalities 22. Special Project* 11. Applications of Inequalities 23. Test 12. Quiz Alternate Test* 2018 Glynlyon, Inc. 2

5 Unit 5: SEMESTER EXAM 1. Exam 2. Alternate Exam* Unit 6: POLYNOMIALS 1. Adding and Subtracting Polynomials 12. Factoring by Grouping 2. Grouping Symbols 13. Factoring Trinomials (1) 3. Quiz Factoring Trinomials (2) 4. Multiplying by a Monomial 15. Special Cases 5. Multiplying Polynomials 16. Complete Factorization 6. F.O.I.L. and Special Cases 17. Quiz 3 7. Dividing by a Monomial 18. Performance Task 8. Long Division 19. Alternate Performance Task* 9. Quiz Special Project* 10. Greatest Common Factor 21. Test 11. Factoring Out the GCF 22. Alternate Test* Unit 7: EXPONENTS AND ROOTS 1. Negative Exponents 10. Scientific Notation 2. Exponential Expressions 11. Operations with Scientific Notation 3. Quiz Square Roots 4. Exponential Functions 13. Simplifying Radicals 5. Applications of Exponential Functions 14. Quiz 3 6. Multiplication 15. Performance Task 7. Raising to a Power 16. Special Project* 8. Quiz Test 9. Division 18. Alternate Test* Unit 8: QUADRATICS 1. Quadratic Functions 12. Applications of Quadratics 2. Transformations 13. Rate of Change 3. Transformations (2) 14. Quadratic Formula (1) 4. Systems of Linear and Exponential Equations 15. Quadratic Formula (2) 5. Quiz Comparing Functions 6. Line of Symmetry 17. Quiz 3 7. Quadratic Inequalities 18. Performance Task 8. Solving by Factoring 19. Alternate Performance Task* 9. Project: Solving Polynomials by Factoring 20. Special Project* 10. Square Root Method 21. Test 11. Quiz Alternate Test* 2018 Glynlyon, Inc. 3

6 Unit 9: STATISTICS 1. Measures of Central Tendency 8. Project: Plotting Residuals 2. Dispersion 9. Project: Data Analysis 3. Quiz Quiz 2 4. Interpreting Data 11. Special Project* 5. Scatter Plots 12. Test 6. Statistical Relationships 13. Alternate Test* 7. Modeling Functions Unit 10: SEMESTER EXAM 1. Exam 2. Alternate Exam* Unit 11: FINAL EXAM 1. Exam 2. Alternate Exam* (*) Indicates alternative assignment 2018 Glynlyon, Inc. 4

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