CURRICULUM CATALOG MATHEMATICS 1 (21032X0) NC

Transcription

1 CURRICULUM CATALOG MATHEMATICS 1 (21032X0) NC

2 Table of Contents MATHEMATICS 1 (21032X0) NC COURSE OVERVIEW... 1 UNIT 1: FOUNDATIONS OF ALGEBRA... 1 UNIT 2: EQUATIONS AND INEQUALITIES... 1 UNIT 3: LINEAR FUNCTIONS... 2 UNIT 4: LINEAR SYSTEMS... 2 UNIT 5: EXPONENTS AND EXPONENTIAL FUNCTIONS... 2 UNIT 6: SEMESTER EXAM... 2 UNIT 7: POLYNOMIALS... 3 UNIT 8: QUADRATIC FUNCTIONS... 3 UNIT 9: STATISTICS AND GEOMETRY... 3 UNIT 10: COORDINATE GEOMETRY... 3 UNIT 11: AREA AND VOLUME... 4 UNIT 12: SEMESTER EXAM... 4 UNIT 13: FINAL EXAM Glynlyon, Inc. i

3 Course Overview Mathematics I is a full year, high school math course for the student who has successfully mastered the core algebraic concepts covered in the prerequisite course, Mathematics 8. The course includes concepts in Number and Quantity, Algebra, Functions, Modeling, Geometry, and Statistics and Probability. In it, students will gain solid experience with linear, exponential, and quadratic equations and functions, measures of center and dispersion, geometry terms and definitions, and measurement of two- and three-dimensional figures. By the end of the course, students will be expected to do the following: Solve and graph single variable, absolute value, and linear equations and inequalities. Evaluate and solve quadratic equations and inequalities using graphing, factoring, and the quadratic formula. Solve linear, quadratic and exponential systems of equations using graphing, substitution, or elimination. Interpret and apply the relationship between the independent and dependent variable in a linear, exponential, and quadratic function through algebraic modeling and applications. Understand and know how to apply the distance, midpoint, and slope formulas as well as the Pythagorean Theorem. Form an equation of a line using the slope-intercept, point-slope and standard forms of a line. Be able to construct a formula or equation necessary to solve algebraic word problems involving area, perimeter, and linear systems of equations, basic probability and statistical reasoning, distance, and compounding interest. Perform operations with polynomials such as addition and subtraction, multiplication, and factoring. Interpret and apply the relationship between the independent and dependent variable in a linear, exponential, and quadratic function through algebraic modeling and applications. Calculate perimeter, area, and volume of figures and solids. Unit 1: Foundations of Algebra 1. Course Overview 14. Addition Property of Equality 2. Variables and Expressions 15. Multiplication Property of Equality 3. Exponents and Order of Operations 16. Two-Step Equations 4. Evaluating Expressions 17. Quiz 3: Solving Equations 5. Absolute Value 18. Variables on Both Sides 6. Quiz 1: The Language of Algebra 19. Combining Like Terms 7. Commutative and Associative Properties 20. The Distributive Property 8. Distributive Property 21. Literal Equations 9. Simplifying Expressions 22. Quiz 4: Multi-Step Equations 10. Quiz 2: Properties of the Real Numbers 23. Special Project* 11. Performance Task 24. Test 12. Alternate Performance Task* 25. Alternate Test* 13. Open Sentences Unit 2: Equations and Inequalities 1. Writing Equations from Word Problems 11. Graphing 2. Two Unknowns 12. Addition Property of Inequality 3. More than Two Unknowns 13. Multiplication Property of Inequality 4. Using a Chart 14. Multi-Step Inequalities 5. Quiz 1: Word Problems 15. Problem Solving 6. Percent Problems 16. Quiz 3: Solving Inequalities 7. Mixture and Interest Problems 17. Special Project* 8. Performance Task 18. Test 9. Alternate Performance Task* 19. Alternate Test* 10. Quiz 2: Mixture and Investment Problems 2018 Glynlyon, Inc. 1

4 Unit 3: Linear Functions 1. The Coordinate Plane 13. Inequalities with Two Variables 2. Identifying Functions 14. Quiz 3: Graphing Linear Functions 3. Function Notation 15. Writing Linear Equations (1) 4. Modeling Functions 16. Writing Linear Equations (2) 5. Quiz 1: Function Basics 17. Writing Linear Equations (3) 6. Writing a Function Rule 18. Scatter Plots 7. Arithmetic Sequences 19. Quiz 4: Writing Linear Equations 8. Direct Variation 20. Performance Task 9. Slope 21. Alternate Performance Task* 10. Quiz 2: Patterns 22. Special Project* 11. Linear Equations 23. Test 12. Slope-Intercept Form 24. Alternate Test* Unit 4: Linear Systems 1. Solution of a System 11. Money and Unit Pricing 2. Graphing Systems of Equations 12. Using Formulas 3. Systems of Inequalities 13. Quiz 3: Representing Problems Using a Linear 4. Quiz 1: Solving Linear Systems by Graphing System 5. Substitution Method 14. Performance Task 6. Addition Method 15. Alternate Performance Task* 7. Matrices 16. Special Project* 8. Fractional Coefficients 17. Test 9. Quiz 2: Solving Linear Systems Algebraically 18. Alternate Test* 10. Using Two Variables Unit 5: Exponents and Exponential Functions 1. Exponential Functions 13. Quiz 3: Properties of Exponents 2. Exponential Applications 14. Simplifying Radicals 3. Geometric Sequences 15. Multiplying Radicals 4. Systems of Linear and Exponential Equations 16. Dividing Radicals 5. Quiz 1: Exponential Functions 17. Adding and Subtracting Radicals 6. Negative Exponents 18. Quiz 4: Radical Expressions 7. Exponential Expressions 19. Performance Task 8. Scientific Notation 20. Alternate Performance Task* 9. Quiz 2: Evaluating Exponential Expressions 21. Special Project* 10. Multiplication 22. Test 11. Raising to a Power 23. Alternate Test* 12. Division Unit 6: Semester Exam 1. Semester Exam 2. Alternate Semester Exam* 2018 Glynlyon, Inc. 2

5 Unit 7: Polynomials 1. Adding and Subtracting Polynomials 11. Factoring by Grouping 2. Grouping Symbols 12. Factoring Trinomials (1) 3. Quiz 1: Adding and Subtracting Polynomials 13. Factoring Trinomials (2) 4. Multiplying by a Monomial 14. Special Cases 5. Multiplying Polynomials 15. Complete Factorization 6. F.O.I.L. and Special Cases 16. Quiz 3: Factoring Polynomials 7. Dividing by a Monomial 17. Special Project* 8. Quiz 2: Multiplying and Dividing Polynomials 18. Test 9. Greatest Common Factor 19. Alternate Test* 10. Factoring Out the GCF Unit 8: Quadratic Functions 1. Quadratic Functions 9. Applications of Quadratics 2. Transformations 10. Rate of Change 3. Transformations (2) 11. Comparing Functions 4. Line of Symmetry 12. Quiz 2: Solving Quadratic Equations 5. Quadratic Inequalities 13. Special Project* 6. Quiz 1: Graphing Quadratic Functions 14. Test 7. Solving by Factoring 15. Alternate Test* 8. Square Root Method Unit 9: Statistics and Geometry 1. Measures of Central Tendency 13. Defined Terms: Definitions 2. Dispersion 14. Quiz 3: Defined Terms 3. Interpreting Data 15. Geometric Postulates 4. Project: Data Analysis 16. Review of Algebraic Postulates 5. Two-Way Frequency Tables 17. Geometric Theorems 6. Quiz 1: Statistics 18. Review of Properties of Algebra 7. Performance Task 19. Quiz 4: Postulates and Theorems 8. Alternate Performance Task* 20. Performance Task 9. Geometry Undefined Terms: Point 21. Alternate Performance Task* 10. Geometry Undefined Terms: Line 22. Special Project* 11. Geometry Undefined Terms: Plane 23. Test 12. Quiz 2: Undefined Terms 24. Alternate Test* Unit 10: Coordinate Geometry 1. Pythagorean Theorem 10. Midpoint Formula 2. Theorem about Right Triangles 11. Quiz 2: Distance Formula and Applications 3. Theorem about Right Triangles 12. Slope 4. Using Triangles: Rectangular Solids 13. Parallel and Perpendicular Lines 5. Using Triangles: Regular Square Pyramid 14. Equations of Lines 6. Quiz 1: Right Triangles 15. Quiz 3: Slope and Lines 7. Ordered Pairs: Points in a Plane 16. Special Project* 8. Distance Formula 17. Test 9. Perimeter and Area 18. Alternate Test* 2018 Glynlyon, Inc. 3

6 Unit 11: Area and Volume 1. Area Concepts of Polygons 12. Solids: Pyramids 2. Area of Rectangles 13. Solids: Cylinders 3. Area of Parallelograms 14. Solids: Cones 4. Area of Triangles and Rhombuses 15. Solids: Spheres 5. Area of Trapezoids 16. Quiz 2: Volume of Solids 6. Area of Regular Polygons 17. Performance Task 7. Area Comparisons of Polygons 18. Alternate Performance Task* 8. Quiz 1: Area of Polygons 19. Special Project* 9. Circles: Circumference and PI 20. Test 10. Circles: Area of Circles 21. Alternate Test* 11. Solids: Prisms Unit 12: Semester Exam 1. Semester Exam 2. Alternate Semester Exam* Unit 13: Final Exam 1. Final Exam 2. Alternate Final Exam* (*) Indicates alternative assignment 2018 Glynlyon, Inc. 4