Oroville Union High School District Mathematics

Oroville Union High School District Mathematics COURSE TITLE: Honors Mathematics II Honors Mathematics II CBEDS CODE: 2426 LENGTH OF COURSE: One Year TYPE OF CREDIT: Math 2 +2 CREDIT: NO GRADE LEVEL: 9-12 PREREQUISITES: Math I and Teacher Approval TEXTBOOK: CPM, Core Connections Integrated II, (2014) ISBN# 9781603283472 CPM, Core Connections Integrated III, (2015) ISBN: TBD CPM, Core Connections Algebra 2, 2 nd Edition, (2013). ISBN # 9782604382427 SUPPLEMENTAL MATERIALS: CPM website: www.cpm.org COURSE DESCRIPTION: Honors Mathematics II is a fast-paced, rigorous formal extension of all of the math courses that students have taken up to this point, particularly Mathematics I. The concepts begin with Chapter 3 of the Math 2 curriculum and are taught in this course with increasing complexity within the following concepts: Probability and Trigonometry, Quadratic Functions, Proofs and Quadratics, Polygons, Circles and Triangles, Functions, Solids, Domain/Range, Law of Sine and Law of Cosines and Transformation of parent graphs and piecewise defined functions. The

standards for Mathematical Practice are implemented, applied and practiced throughout all lessons. COURSE OBJECTIVE: Honors Mathematics II is a continued focus on teaching strategies to help students learn and retain mathematics, at a complex level. Students engage in problem-solving lessons, cooperative learning groups and lessons provide practice and procedures repeatedly over time. Key concepts taught include: Extending the properties of exponents to rational exponents & properties of rational and irrational numbers. Perform arithmetic operations with complex numbers, and complex numbers in polynomial identities and equations. Interpret the structure of expressions, write expressions & perform operations on polynomials. Create equations that describe numbers or relationships. Solve equations and inequalities in one variable, & solve systems of equations. Interpret functions that arise in applications in terms of context & analyze functions using different representations. Build a function that models a relationship between two quantities and build new functions between existing functions. Construct and compare linear, quadratics and exponential models and solve problems & interpret expressions for functions in terms of the situations they model. Prove and apply trigonometric identities. Prove geometric theorems and theorems about circles. Understand similarity in terms of similarity transformations, prove theorems involving similarity & define trigonometric ratios and solve problems involving right angles. Translate between geometric description and equation for a conic section, use coordinates to prove simple geometric theorems algebraically, explain volume formulas and use them to solve problems. Understand independence and conditional probability and use them to interpret data & use rules of probability to compute probabilities of compound events in a uniform probability model. Use probability to evaluate outcomes of decisions. Domain and Range in the field of Statistics Law of Sine and Law of Cosines Transformation of parent graphs and piecewise defined functions Assessments of student learning will include proficiency in mathematical understanding, skill proficiency, problem solving, communication, justification, mastery over time, multiple ways of seeing and teamwork. Checkpoints will be monitored regularly throughout the lessons and chapter assessments will be given using the CPM curriculum via individual tests, Team Tests, Participation Quizzes, student presentations, class

observations, portfolios, and homework. BOARD ADOPTION DATE: June 17, 2015 UNITS:

Chapter 1 Section Lesson Lesson Objectives CCSS Standards 1.1 1.1.1 1.1.2 Making Predictions and Investigating Results Perimeters and Areas of Enlarging Tile Patterns F-BF.1a 1.1.3 Perimeters and Areas of Algebra Tiles A.SSE.3a, A-APR.1 1.1.4 Describing a Graph F-IF.4, F-IF.5 1.2 1.2.1 Attributes and Characteristics of Polygons 1.2.2 More Characteristics of Polygons 1.3 1.3.1 Vertical Angles and Angles Formed by Transversals G-CO.9 1.3.2 More Angles Formed by Transversals G-CO.9 1.3.3 Angles and Sides in a Triangle G-CO.9, G-CO.10, G-GMD.6

1.4 1.4.1 Triangle Congruence Theorems G-SRT.2, G-SRT.5 1.4.2 Flowcharts for Congruence G-CO.10, G-SRT.5 1.4.3 Proof by Contradiction and Converses G-CO.9, G-CO.10, G-SRT.5 Chapter 2 Section Lesson Lesson Objectives CCSS Standards 2.1 2.1.1 Dilations G-SRT.1a 2.1.2 Similarity G-SRT.1a, G-SRT.1b, G-SRT.2 2.1.3 Using Ratios of Similarity G-SRT.1b, G-SRT.2, G-SRT.5 2.2 2.2.1 Conditions for Triangle Similarity G-SRT.2, G-SRT.3, G-SRT.5 2.2.2 More Conditions for Triangle Similarity G-SRT.2, G-SRT.5 2.2.3 Determining Similar Triangles G-SRT.5 2.2.4 Applying Similarity G-SRT.5 2.3 2.3.1 Constant Ratios in Right Triangles G-SRT.6, G-SRT.8 2.3.2 Connecting Slope Ratios to Specific Angles G-SRT.6, G-SRT.8 2.3.3 Expanding the Trig Table G-SRT.6, G-SRT.8 2.3.4 The Tangent Ratio G-SRT.6, G-SRT.8 2.3.5 Applying the Tangent Ratio G-SRT.6 Chapter 3 Section Lesson Lesson Objectives CCSS Standards 3.1 3.1.1 Using an Area Model S-CP.1 3.1.2 Using a Tree Diagram S-CP.1 3.1.3 Probability Models S-CP.1

3.1.4 Unions, Intersections, and Complements S-CP.1, S-CP.7 3.1.5 Expected Value S-MD.6 3.2 3.2.1 Sine and Cosine Ratios G-SRT.6, G-SRT.8 3.2.2 Selecting a Trig Tool G-SRT.6, G-SRT.7, G-SRT.8 3.2.3 Inverse Trigonometry G-SRT.6, G-SRT.8 3.2.4 Trigonometric Applications G-SRT.8 Chapter 4 Section Lesson Lesson Objectives CCSS Standards 4.1 4.2 4.1.1 Special Right Triangles G-CO.10, G-SRT.8, G-SRT.8.1 4.1.2 Pythagorean Triples G-SRT.8, G-SRT.8.1 4.1.3 4.2.1 Special Right Triangles and Trigonometry Introduction to Factoring Quadratic Expressions F-TF.8, G-SRT.8 G-SRT.8.1 A.SSE.3a 4.2.2 Factoring with Area Models A.SSE.3a 4.2.3 Factoring More Quadratics A.SSE.3a 4.2.4 Factoring Completely A-SSE.2, A.SSE.3a, A-APR.1 4.2.5 Factoring Shortcuts for Special Cases A-SSE.2, A.SSE.3a Chapter 5 Section Lesson Lesson Objectives CCSS Standards 5.1 5.1.1 Investigating Quadratic Functions 5.1.2 Multiple Representations of Quadratic Functions 5.1.3 Zero Product Property A.SSE.3a, A-CED.2, F-IF.4, F-IF.5, F-IF.7a, F-IF.8a, F-IF.9, F-BF.1a A.SSE.3a, A-CED.2, F-IF.4, F-IF.5, F-IF.7a, F-IF.8a, F-IF.9, F-BF.1a A.SSE.3a, A-CED.2, A-REI.4b, F-IF.4, F-IF.7a, F-IF.8a, F-BF.1a 5.1.4 5.1.5 More Ways To Determine the x- Intercepts Writing Equations for Quadratic Functions A.SSE.3a, A-CED.2, A-REI.4b, F-IF.4, F-IF.7a, F-IF.8a, F-BF.1a A.SSE.3a, A-CED.2, A-REI.4b, F-IF.7a, F-IF.8a, F-IF.9, F-BF.1a

5.1.6 Completing the Square: Standard Form to Graphing Form A-SSE.1b, A.SSE.3a, A.SSE.3b, A-CED.2, A-REI.4a, A-REI.4b, F-IF.7a, F-IF.8a, F-BF.1a Chapter 6 Section Lesson Lesson Objective CCSS Standards 6.1 6.1.1 Explore Conjecture Prove G-CO.11 6.1.2 Properties of Rhombi G-CO.11 6.1.3 Two-Column Proofs G-CO.11 6.1.4 More Properties of Quadrilaterals G-CO.11 6.1.5 Properties of Triangles and Trapezoids G-CO.10, G-CO.11, G-SRT.5, G-GPE.4 6.2 6.2.1 Angles on a Pool Table G-SRT.8 6.2.2 Shortest Distance Problems G-SRT.5 6.2.3 Applying Quadratics A-CED.2, F-IF.4, F-IF.7 6.2.4 Creating a Mathematical Model G-SRT.5 6.2.5 Analyzing a Game S-MD.7 6.2.6 Using Transformations and Symmetry to Design Snowflakes Chapter 7 Section Lesson Lesson Objectives CCSS Standards 7.1 7.1.1 Constructing Triangle Centers G-CO.9, G-CO.10, G-C.3 7.2 7.3 7.4 7.2.1 Angles of Polygons G-SRT.5, G-GMD.1 7.2.2 Areas of Regular Polygons G-SRT.5, G-GMD.1 7.3.1 Area Ratios of Similar Figures G-GMD.1 7.3.2 Ratios of Similarity G-C.5, G-GMD.1 7.4.1 A Special Ratio G-GMD.1, G-C.1 7.4.2 Arcs and Sectors G-C.5

7.4.3 Circles in Context G-C.5 Chapter 8 Section Lesson Lesson Objectives CCSS Standards 8.1 8.1.1 Solving Quadratic Equations A.SSE.3b, A-REI.4a, A-REI.4b 8.1.2 Introduction to the Quadratic Formula 8.1.3 Applying Quadratic Equations 8.1.4 Choosing a Strategy A-REI.4a, A-REI.4b A-CED.1, A-CED.2, A-REI.4a, A-REI.4b, F-IF.8a A-CED.1, A-CED.2, A-REI.4a, A-REI.4b, F-IF.8a 8.2 8.2.1 Introducing Imaginary Numbers N-CN.1, N-CN.2, N-CN.7, N-CN.8, N-CN.9 8.3 8.3.1 Determining the Number of Solutions A-REI.4a, A-REI.4b 8.3.2 Quadratic Applications with Inequalities and Intersections A-REI.4a, A-REI.4b 8.3.3 Graphing and Intersections A-REI.7 8.3.4 Deriving the Quadratic Formula and the Number System N-RN.3 Chapter 9 Section Lesson Lesson Objectives CCSS Standards 9.1 9.2 9.1.1 The Equation of a Circle G-GPE.1 9.1.2 Completing the Square for Equations of Circles 9.2.1 Introduction to Chords G-C.2 G-C.5, G-GPE.1 9.2.2 Angles and Arcs G-C.2, G-C.5 9.2.3 Chords and Angles G-C.2 9.2.4 Tangents and Secants G-C.2, G-C.3 9.2.5 Tangents and Arcs G-C.2, G-C.4 9.3 9.3.1 Conditional Probability and Independence S-CP.3, S-CP.5, S-CP.6

9.3.2 Two-Way Tables S-CP.3, S-CP.4, S-CP.5, S-CP.6 9.3.3 Applications of Probability S-CP.2, S-CP.3, S-CP.4, S-CP.5, S-CP.6, S-CP.7, S-CP.8, S-MD.7 Chapter 10 Section Lesson Lesson Objectives CCSS Standards 10.1 10.1.1 Parabola Investigation F-IF.7b, F-BF.3 10.1.2 Transforming a Quadratic Function A-CED.2, F-IF.6, F-BF.1a 10.1.3 Transforming the Absolute Value Function F-IF.7b 10.1.4 Comparing the Growth of Functions F-LE.3 10.2 10.3 10.2.1 Inverse Functions F-BF.4a 10.2.2 Radicals and Fractional Exponents N-RN.1, N-RN.2, A.SSE.3c, F-IF.8b 10.3.1 Piecewise-Defined Functions A-CED.2, F-IF.7b, F-BF.1b 10.3.2 Combining Functions A-CED.2, F-BF.1b Chapter 11 Section Lesson Lesson Objectives CCSS Standards 11.1 11.1.1 Prisms and Cylinders F-IF.7a, G-GMD.1, G-GMD.3 11.1.2 Volumes of Similar Solids G-GMD.1, G-GMD.3, G-GMD.5 11.1.3 Ratios of Similarity G-GMD.1, G-GMD.3, G-GMD.5 11.2 11.2.1 Volume of a Pyramid G-GMD.1, G-GMD.3 11.2.2 Surface Area and Volume of a Cone G-GMD.1, G-GMD.3 11.2.3 Surface Area and Volume of a Sphere G-GMD.1, G-GMD.3 11.3 11.3.1 Introduction to Conic Sections 11.3.2 Graphing a Parabola Using the Focus and Directrix Chapter 12 G-GPE.2 Section Lesson Lesson Objectives CCSS Standards 12.1 12.1.1 The Fundamental Counting Principle S-CP.9, S-MD.6, S-MD.7 12.1.2 Permutations S-CP.9, S-MD.6

12.1.3 Combinations S-CP.9, S-MD.6 12.1.4 Categorizing Counting Problems S-CP.9, S-MD.6 12.2 12.2.1 Using Geometry to Calculate Probabilities 12.2.2 Quadratic Regression 12.2.3 The Golden Ratio 12.2.4 Some Challenging Probability Problems S-MD.7 F-IF.4, F-IF.7 A-CED.1, G-SRT.2, G-SRT.5 S-MD.6, S-MD.7 CORE CONNECTIONS INTEGRATED MATH III Chapters 1-3 Chapter 1 Teacher Guide Section Lesson Lesson Objectives CCSS Standards 1.1 1.1.1 Solving Puzzles in Teams 1.1.2 Using a Graphing Calculator to Explore a Function F-IF.4 1.1.3 Domain and Range F-IF.5, F-IF.7b 1.1.4 Points of Intersection in Multiple Representations F-IF.9 1.2 1.2.1 Modeling a Geometric Relationship F-IF.4, F-IF.5 1.2.2 Function Investigation F-IF.4, F-IF.5 1.2.3 The Family of Linear Functions F-IF.9, F-LE.5 1.2.4 Function Investigation Challenge F-IF.4 Chapter 2 Teacher Guide Section Lesson Lesson Objectives CCSS Standards Appendix A (Optional) Sequences

Appendix B (Optional) Exponential Functions 2.1 2.1.1 Modeling Non---Linear Data A-CED.2, A-SSE.1b 2.1.2 Parabola Investigation A-CED.2, A-SSE.1b, F-IF.8a, F-IF.9, F-BF.3 2.1.3 Graphing a Parabola Without a Table A-CED.2, A-SSE.1b, F-IF.4, F-IF.8a, F-IF.9, F-BF.3 2.1.4 Rewriting in Graphing Form A-CED.2, A-SSE.1b, F-IF.8a, F-IF.9. F-BF.3 2.1.5 Mathematical Modeling with Parabolas A-CED.2, A-SSE.1b, F-IF.8a, F-BF.3 2.2 2.2.1 Transforming Other Parent Graphs 2.2.2 Describing (h, k) for Each Family of Functions A-CED.2, A-SSE.1b, F-IF.4, F-IF.7b, F-IF.7e, F-IF.9, F-BF.3 A-CED.2, A-SSE.1a, A-SSE.1b, F-IF.7b, F-IF.7e, F-IF.9 2.2.3 Transformations of Functions F-IF.9 2.2.4 Transforming Non-Functions F-BF.3, F-IF.9 2.2.5 Transforming Piecewise-Defined Functions F-IF.7b, F-IF.9, F-BF.3 Chapter 3 Teacher Guide Section Lesson Lesson Objectives CCSS Standards 3.1 3.1.1 Equivalent Expressions A-APR.1, A-APR.4, A-SSE.2 3.1.2 Rewriting Expressions and Determining Equivalence A-APR.1, A-APR.4, A-SSE.2 3.1.3 Solving by Rewriting A-SSE.1a, A-SSE.1b, A-APR.1, A-APR.4, A-SSE.2 3.2 3.2.1 Investigating Rational Functions A-APR.1 3.2.2 Simplifying Rational Expressions A-APR.7+

3.2.3 3.2.4 Multiplying and Dividing Rational Expressions Adding and Subtracting Rational Expressions A-APR.7+ A-APR.7+ 3.2.5 Creating New Functions A-APR.7+