2018-19 CURRICULUM CATALOG
Table of Contents COURSE OVERVIEW... 1 UNIT 1: THE REAL NUMBER SYSTEM... 2 UNIT 2: MODELING PROBLEMS IN INTEGERS... 2 UNIT 3: MODELING PROBLEMS WITH RATIONAL NUMBERS... 2 UNIT 4: PROPORTIONAL REASONING... 3 UNIT 5: MORE WITH FUNCTIONS... 3 UNIT 6: MEASUREMENT... 3 UNIT 7: PLANE GEOMETRY... 4 UNIT 8: MEASURES OF SOLID FIGURES... 4 UNIT 9: DATA ANALYSIS... 4 UNIT 10: PROBABILITY... 5 UNIT 11: FINAL EXAM... 5 2018 Glynlyon, Inc. i
Course Overview is an introductory algebra course designed to prepare junior-high school students for Algebra I. The course focuses on strengthening needed skills in problem solving, integers, equations, and graphing. Students will begin to see the "big picture" of mathematics and learn how numeric, algebraic, and geometric concepts are woven together to build a foundation for higher mathematical thinking. The Real Number System: Student will explore different properties of numbers, and how to use them to simplify expressions and formulas to make computations easier. Modeling Problems in Integers: Student will translate and solve one-step equations, or two-step equations in context, and check solutions for reasonableness, using the order of operations, and by substituting values for variables. Modeling Problems with Rational Numbers: Student will add, subtract, multiply, and divide decimals, fractions, and mixed numbers with variables, likes, and unlike denominators to solve one and two-step word problems. Proportional Reasoning: Student will convert between fractions, decimals, and percent s, and compare them, and identify similar and congruent figures and their corresponding parts and solve for missing measures. More with Functions: Student will identify the parts of a line or quadratic equation and be able to graph it, and explore arithmetic and geometric sequences, as well as exponential growth and decay. Measurement: Student will explore relationships between sets of lines and the angles they create, understand and use the Pythagorean theorem, and identify characteristics of polygons. Plane Geometry: Student will determine how to calculate areas of common polygons, identify different transformations and how to determine the type and original image location. Measures of Solid Figures: Student will calculate surface area and volume of different objects and solve for missing measures of 3 dimensional figures when given surface area or volume and explain the relationship between surface area and volume. Data Analysis: Student will identify the mean, median, mode, range, lower quartile, and upper quartile of different data sets and construct the best display of the information. Probability: Student will identify all the possible outcomes of a given situation using combinations, permutations, and probability, and determine if events are dependent or independent. 2018 Glynlyon, Inc. 1
Unit 1: THE REAL NUMBER SYSTEM 1. Course Overview 11. Scientific Notation 2. Subsets of the Real Number System 12. Operations with Scientific Notation 3. Using Variables 13. Quiz 2 4. The Number Line 14. Square Roots 5. Comparing Rational Numbers 15. Order of Operations 6. Decimal-Fraction Conversions 16. Quiz 3 7. Quiz 1 17. Performance Task 8. Properties of the Real Numbers 18. Special Project* 9. Exponents 19. Test 10. Performance Task 20. Alternate Test* Unit 2: MODELING PROBLEMS IN INTEGERS 1. Translating Expressions and Equations 13. Multiplying and Dividing Integers 2. Solving One-Step Equations 14. Evaluating Expressions 3. Solving Two-Step Equations 15. Quiz 3 4. Solving Equations with Exponents 16. Graphing 5. Quiz 1 17. One-Step Equations 6. Relations and Functions 18. Two-Step Equations 7. Functions 19. Problem Solving 8. Analyzing Graphs 20. Performance Task 9. Performance Task 21. Quiz 4 10. Quiz 2 22. Special Project* 11. Addition of Integers 23. Test 12. Subtraction of Integers 24. Alternate Test* Unit 3: MODELING PROBLEMS WITH RATIONAL NUMBERS 1. Prime Factorization and the GCF 12. Quiz 2 2. Simplifying Fractions 13. One-Step Addition and Subtraction Equations 3. The LCM and the LCD 14. One-Step Multiplication and Division Equations 4. Quiz 1 15. Two-Step Equations 5. Adding and Subtracting Like Fractions 16. One-Step Inequalities 6. Adding and Subtracting Unlike Fractions 17. Two-Step Inequalities 7. Adding and Subtracting Decimal Numbers 18. Performance Task 8. Multiplying and Dividing Fractions 19. Quiz 3 9. Multiplying and Dividing Decimal Numbers 20. Special Project* 10. Irrational Numbers 21. Test 11. Performance Task 22. Alternate Test* 2018 Glynlyon, Inc. 2
Unit 4: PROPORTIONAL REASONING 1. Proportions 12. Unit Conversion within Metric Units 2. Linear Applications 13. Corresponding Parts 3. Direct Variation 14. Indirect Measure 4. Quiz 1 15. Models and Scales 5. Fraction, Percent, and Decimal Equivalents 16. Performance Task 6. Solving Percent Problems 17. Quiz 3 7. Application of Ratios and Percent s 18. Project: Proportional Reasoning 8. More Applications with Percent s 19. Alternate Project: Proportional Reasoning 9. Performance Task 20. Special Project* 10. Quiz 2 21. Test 11. Unit Conversion within Customary Units 22. Alternate Test* Unit 5: MORE WITH FUNCTIONS 1. Rewriting Equations 17. Quiz 2 2. Combine Like Terms 18. Graphing Systems of Linear Equations 3. Solving Equations by Combining Like Terms 19. Solving Systems of Linear Equations using Substitution 4. Distributive Property 20. Solving Systems of Linear Equations using Addition 5. Solving Equations with Distributive Property 21. Applications of Linear Systems 6. Solving Equations with Special Solutions 22. Performance Task 7. Literal Equations 23. Quiz 3 8. Performance Task 24. Patterns and Arithmetic Sequences 9. Quiz 1 25. Geometric Sequences 10. Slope 26. Exponential Sequences 11. Comparing Functions 27. Recursive Sequences 12. Using Intercepts 28. Quiz 4 13. Slope-Intercept Form 29. Special Project* 14. More Slope-Intercept Form 30. Test 15. Applications of Linear Functions 31. Alternate Test* 16. Non-Linear Functions Unit 6: MEASUREMENT 1. Classify and Measure Angles 10. The Quadrilateral Family 2. Perpendicular and Parallel Lines, Part 1 11. Quiz 2 3. Perpendicular and Parallel Lines, Part 2 12. Pythagorean Theorem, Part 1 4. Circles 13. Pythagorean Theorem, Part 2 5. Quiz 1 14. Performance Task 6. Classifying Polygons 15. Quiz 3 7. Interior and Exterior Measures of Polygons 16. Special Project* 8. Classifying Triangles and the Triangle Inequality Theorem 17. Test 9. Performance Task 18. Alternate Test* 2018 Glynlyon, Inc. 3
Unit 7: PLANE GEOMETRY 1. Perimeter and Circumference 13. Translations 2. Area of Parallelograms 14. Tessellations 3. Area of Triangles and Trapezoids 15. Rotations 4. Area of Circles 16. Dilations 5. Composite Figures 17. Angle Reflections, Translations, and Rotations 6. Effects of Dimensional Changes 18. Performance Task 7. Quiz 1 19. Project: Transformations 8. Symmetry 20. Quiz 3 9. Distance and Midpoint 21. Special Project* 10. Reflections 22. Test 11. Performance Task 23. Alternate Test* 12. Quiz 2 Unit 8: MEASURES OF SOLID FIGURES 1. Surface Area of Triangular Prisms 11. Volume of Cones 2. Performance Task 12. Volume of Spheres 3. Surface Area of Cylinders 13. Changes to Volume 4. Surface Area of Pyramids, Cones, and Spheres 14. Volume of Composite Figures 5. Surface Area of Composite Figures 15. Performance Task 6. Quiz 1 16. Quiz 2 7. Volume of Rectangular Prisms 17. Special Project* 8. Volume of Triangular Prisms 18. Test 9. Volume of Square Pyramids 19. Alternate Test* 10. Volume of Cylinders Unit 9: DATA ANALYSIS 1. Collecting Data 13. Misleading Graphs 2. Measures of Central Tendency and Dispersion 14. Appropriate Displays 3. Bar Graphs 15. Application of Data Analysis 4. Circle Graphs 16. Performance Task 5. Line Graphs 17. Quiz 2 6. Frequency and Histograms 18. Financial Responsibility 7. Two-Way Frequency Tables 19. Calculating Interest 8. Performance Task 20. Educational Funding 9. Quiz 1 21. Quiz 3 10. Constructing Box-and-Whisker Plots 22. Special Project* 11. Interpreting Box-and-Whisker Plots 23. Test 12. Scatter Plots 24. Alternate Test* 2018 Glynlyon, Inc. 4
Unit 10: PROBABILITY 1. Tree Diagrams and the Counting Principle 10. Performance Task 2. Permutations 11. Performance Task 3. Combinations 12. Quiz 2 4. Mixed Review of Outcomes 13. Simulate a Problem 5. Quiz 1 14. Quest: All That's Fair In...* 6. Probability and Odds 15. Special Project* 7. Experimental vs Theoretical Probability 16. Test 8. Disjointed and Overlapping Events 17. Alternate Test* 9. Independent and Dependent Events Unit 11: FINAL EXAM 1. Performance Task 1* 4. Performance Task 4* 2. Performance Task 2* 5. Exam 3. Performance Task 3* 6. Alternate Exam* (*) Indicates alternative assignment 2018 Glynlyon, Inc. 5