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1 Curriculum Catalog 2017 Glynlyon, Inc.
2 Table of Contents INTEGRATED MATH I COURSE OVERVIEW... 1 UNIT 1: FOUNDATIONS OF ALGEBRA... 1 UNIT 2: THE LANGUAGE OF ALGEBRA... 2 UNIT 3: GEOMETRY... 2 UNIT 4: COORDINATE GEOMETRY... 2 UNIT 5: SEMESTER REVIEW AND EXAM... 2 UNIT 6: LINEAR EQUATIONS... 3 UNIT 7: EQUATIONS AND INEQUALITIES... 3 UNIT 8: LINEAR SYSTEMS... 3 UNIT 9: PROBABILITY AND STATISTICS... 4 UNIT 10: SEMESTER REVIEW AND EXAM... 4 UNIT 11: FINAL EXAM Glynlyon, Inc. i
3 Course Overview is a mathematics course for high school students who have successfully completed either general mathematics for grade 8 or pre-algebra. This course is the first in a four-part, integrated high school mathematics curriculum. The materials in this course integrate the topics of algebra, geometry, probability, and statistics. Throughout the course, students will practice algebraic thinking and use algebra to model and solve real world problems. Students are exposed to several branches of mathematics and will explore ways in which each one can be used as a mathematical model in understanding the world. The course seeks to help students expand their knowledge and skills so that they may achieve the following goals: Gain an increased awareness of math as a life skill. Understand how math is like a language, with a set of conventions. Realize that while mathematical models are useful in studying the world, they have limits. In attaining these goals, students will begin to see the big picture of mathematics and understand how numeric, algebraic, and geometric concepts are woven together to build a foundation for higher mathematical thinking. Unit 1: Foundations of Algebra 1. Course Overview 15. Project: Determining Logical Equivalence 2. Classifying and Comparing Numbers 16. Converse, Inverse and Contrapositive 3. Fractions 17. Quiz 3: Logical Thinking 4. Signed Numbers 18. Open Sentences 5. Exponents and Order of Operations 19. Addition Property of Equality 6. Quiz 1: The Language of Mathematics 20. Multiplication Property of Equality 7. Variables and Expressions 21. Equations with More than One Step 8. Evaluating Expressions 22. Variables on Both Sides 9. Commutative and Associative Properties 23. Quiz 4: Properties of Equality 10. The Distributive Property 24. Special Project* 11. Simplifying Expressions 25. Review 12. Quiz 2: Introduction to Algebra 26. Test 13. Drawing Conclusions 27. Alternate Test* 14. Truth Values 28. Glossary and Credits 2017 Glynlyon, Inc. 1
4 Unit 2: The Language of Algebra 1. Multiplying with Like Bases 14. Multiplying Radicals 2. A Product to a Power 15. Dividing Radicals 3. Dividing with Like Bases 16. Adding and Subtracting Radicals 4. Scientific Notation 17. Quiz 3: Radical Expressions 5. Quiz 1: Exponential Expressions 18. Simplifying Rational Expressions 6. Adding and Subtracting Polynomials 19. Multiplying and Dividing Rational Expressions 7. Multiplying by a Monomial 20. Adding and Subtracting Rational Expressions 8. Multiplying all Polynomials 21. Quiz 4: Rational Expressions 9. F.O.I.L. and Special Cases 22. Special Project* 10. Dividing by a Monomial 23. Review 11. Long Division 24. Test 12. Quiz 2: Operations with Polynomials 25. Alternate Test* 13. Simplifying Radicals 26. Glossary and Credits Unit 3: Geometry 1. Angle Relationship Definitions 13. Volume 2. Parallel Lines and Transversals 14. Quiz 3: Polyhedra 3. Interior and Exterior Angles of Polygons 15. Central Angle and Arc Measure 4. Quiz 1: Angle Relationships 16. Area and Sectors 5. Triangle Properties 17. The Cylinder and Sphere 6. Pythagorean Theorem 18. Quiz 4: Circles and Spheres 7. Congruence 19. Special Project* 8. Parallelograms 20. Review 9. The Trapezoid 21. Test 10. Quiz 2: Polygons 22. Alternate Test* 11. Definitions and Nets 23. Glossary and Credits 12. Surface Area Unit 4: Coordinate Geometry 1. The Coordinate Plane 11. Rotations 2. Identifying Functions 12. Quiz 3: Transformations 3. Function Notation 13. Parent Functions 4. Modeling Functions 14. Reflecting a Parent Function 5. Quiz 1: Introduction to Functions 15. Shifting a Parent Function 6. The Distance Formula 16. Quiz 4: Families of Functions 7. The Midpoint Formula 17. Special Project* 8. The Circle 18. Review 9. Quiz 2: Geometry Proof 19. Test 10. Symmetry and Reflections 20. Alternate Test* Translations and Dilations 21. Glossary and Credits Unit 5: Semester Review and Exam 1. Review 3. Alternate Exam: Form A* 2. Exam 4. Alternate Exam: Form B* 2017 Glynlyon, Inc. 2
5 Unit 6: Linear Equations 1. Writing Equations from Word Problems 15. Slope 2. Combining Like Terms 16. Quiz 3: Linear Functions 3. The Distributive Property 17. Linear Equations 4. Literal Equations 18. Slope-Intercept Form 5. Quiz 1: Multi-Step Equations 19. Writing Linear Equations (1) 6. Two Unknowns 20. Writing Linear Equations (2) 7. More than Two Unknowns 21. Writing Linear Equations (3) 8. Using a Chart 22. Quiz 4: Writing Linear Function Rules 9. Percent Problems 23. Special Project* 10. Mixture and Interest Problems 24. Review 11. Quiz 2: Modeling with Linear Equations 25. Test 12. Writing a Function Rule 26. Alternate Test* 13. Arithmetic Sequences 27. Glossary and Credits 14. Direct Variation Unit 7: Equations and Inequalities 1. The Greatest Common Factor 15. Ratio Problems 2. Factoring Out the GCF 16. Quiz 3: Rational Equations 3. Factoring Trinomials 17. Graphing One-Variable Inequalities 4. Special Cases 18. Addition Property of Inequality 5. Factoring by Grouping 19. Multiplication Property of Inequality 6. Perfect Cubes 20. Multi-Step Inequalities 7. Quiz 1: Factoring 21. Maximum and Minimum 8. Recognizing a Quadratic 22. Quiz 4: Inequalities 9. The Zero Product Property 23. Special Project* 10. The Square Root Method 24. Review 11. Quiz 2: Quadratic Equations 25. Test 12. Proportions 26. Alternate Test* 13. Using the LCD 27. Glossary and Credits 14. Rate and Mixture Problems Unit 8: Linear Systems 1. Compound Inequality Graphs 12. Fractional Coefficients 2. Solving Compound Inequalities 13. Quiz 3: Solving Linear Systems Algebraically 3. Inequalities in Two Variables 14. Using Two Variables 4. Quiz 1: Compound and Two Variable Inequalities 15. Money and Unit Pricing 5. Solution of a System 16. Using Formulas 6. Graphing Systems of Equations 17. Quiz 4: Modeling with Linear Systems 7. Systems of Inequalities 18. Special Project* 8. Quiz 2: Solving Linear Systems by Graphing 19. Review 9. The Substitution Method 20. Test 10. The Elimination Method 21. Alternate Test* 11. Matrices 22. Glossary and Credits 2017 Glynlyon, Inc. 3
6 Unit 9: Probability and Statistics 1. Measures of Central Tendency 11. Probability 2. Dispersion 12. Project: Experimental Versus Theoretical Probability 3. Project: Graphing Data 13. Compound Events 4. Interpreting Data 14. Project: Probability 5. Project: Data Analysis 15. Quiz 3: Probability 6. Quiz 1: Statistical Analysis 16. Special Project* 7. Outcomes 17. Review 8. Permutations 18. Test 9. Combinations 19. Alternate Test* 10. Quiz 2: Outcomes 20. Glossary and Credits Unit 10: Semester Review and Exam 1. Review 3. Alternate Exam: Form A* 2. Exam 4. Alternate Exam: Form B* Unit 11: Final Exam 1. Exam 3. Alternate Exam: Form B* 2. Alternate Exam: Form A* (*) Indicates alternative assignment 2017 Glynlyon, Inc. 4
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