Integrated Math 2 Our curriculum consists of 9 units that will be taught in the following sequence: 1) Extending the Number System: Math 2 begins with the study of rational exponents. This builds upon your experiences with integer exponents in the past, extending the number system to include radicals and rational exponents. You will also be introduced to complex numbers, and will explore operations with complex numbers. 2) Quadratic Functions – Representations & Transformations: We will begin an in-depth study of Quadratics in Unit 2. You study representations in various formats (graphs, tables, equations, equivalent equations, etc.) and discuss how they are transformed in each of these representations. 3) Quadratic Functions – Working with Equations: In Unit 3, you will use completing the square and factoring to transfer between the different forms of equations. You will also use the Quadratic Formula to solve equations. 4) Quadratic Functions – Modeling: Unit 4 offers you the opportunity to interpret real-world situations that are quadratic in nature and use what you have learned about quadratic functions in Units 2 and 3 to solve real-world problems. 5) Comparing Functions & Modeling: Unit 5 is an opportunity for you to synthesize what you have learned about linear, exponential and quadratic functions to interpret and compare real-world situations. 6) Similarities & Volume: Unit 6 is an extension of the work with dilations and the Pythagorean Theorem from Grade 8. You will develop a more precise definition of similarity through reasoning and proof experiences. You will utilize dynamic geometry software to model real-world situations, prove similarity of figures, and investigate geometric phenomena. 7) Right Triangles & Trigonometry: Unit 7 is laying the foundation for the study of Trigonometry in Math 3. You will write the ratio of sides of right triangles as functions of its acute angles, defining the trigonometric ratios. 8) Probability: In Unit 8, we delve more deeply into Probability through the study of independence and conditional probability. 9) Circles: Finally, Unit 9 provides an opportunity to discover the connection between the graph of a circle in the coordinate plane and an algebraic equation. Materials Students will be expected to bring the following materials to class each day Pencil Notebook and folder for only math OR 1” 3-ring binder for math. This will make sure that notes and homework stay together and come to class each day. Calculator, the TI-30 is recommended. Some may have letters after the number. This is fine. Calculators can be purchased from Walmart, Kmart, Target, etc. for $10-$12. Planner Homework Homework will be assigned almost every day. Homework is due at the start of the class period. Late assignments will receive partial credit. Assignments will not be accepted more than one day late. Before each chapter test, students that have completed and turned in all homework on time for that chapter will receive a “Skip a Problem” pass. This will allow you to skip one problem on the chapter test and still get full credit for that problem. You will choose the problem you want to skip, write the problem number on the pass, and staple the pass to the front of the test. Extra Help Math builds on itself. If you don’t understand something, get help. If you don’t get help when you need it, the following lessons will be harder to understand. Please let me know if you are struggling. I am at school by 7:45 each day and usually available after school as well. I am also available during lunch upon request. Grading Grades will be weighted as follows: Semester Grade (prior to exam): 5 % classwork (see explanation below) 45% homework 30% quizzes 20% tests Overall Semester Grade: 80% semester grade 20% semester exam Classwork There will be problems on the board each day as students enter the classroom (except on quiz or test days). Students are expected to begin working on these problems quietly when they arrive. These are designed to be completed in about 5 minutes (usually 3-5 problems). They will generally review concepts learned in the previous lesson or concepts learned in a previous math class that we will be using in that day’s lesson. Answers will be discussed before starting the lesson for the day.