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Transcript
Ms. Tamara Czaban Math 10C 2016/2017 Goals The main goals of mathematics education are to prepare students to: • solve problems • communicate and reason mathematically • make connections between mathematics and its applications • become mathematically literate • appreciate and value mathematics • make informed decisions as contributors to society. Outcomes Measurement 1. Solve problems that involve linear measurement, using: SI and imperial units of measure, estimation strategies and measurement strategies. 2. Apply proportional reasoning to problems that involve conversions between SI and imperial units of measure. 3. Solve problems, using SI and imperial units, that involve the surface area and volume of 3-D objects, including: right cones, right cylinders, right prisms, right pyramids and spheres. 4. Develop and apply the primary trigonometric ratios (sine, cosine, tangent) to solve problems that involve right triangles. Algebra and Number 1. Demonstrate an understanding of factors of whole numbers by determining the: prime factors, greatest common factor, least common multiple, square root and cube root. 2. Demonstrate an understanding of irrational numbers by: representing, identifying and simplifying irrational numbers and ordering irrational numbers. 3. Demonstrate an understanding of powers with integral and rational exponents. 4. Demonstrate an understanding of the multiplication of polynomial expressions (limited to monomials, binomials and trinomials), concretely, pictorially and symbolically. 5. Demonstrate an understanding of common factors and trinomial factoring, concretely, pictorially and symbolically. Relations and Functions 1. Interpret and explain the relationships among data, graphs and situations. 2. Demonstrate an understanding of relations and functions. 3. Demonstrate an understanding of slope with respect to: rise and run, line segments and lines, rate of change, parallel lines and perpendicular lines. 4. Describe and represent linear relations, using: words, ordered pairs, tables of values, graphs and equations. 5. Determine the characteristics of the graphs of linear relations, including the: intercepts, slope, domain and range. 6. Relate linear relations expressed in: slope–intercept form (y = mx + b), general form (Ax + By + C = 0) and slope–point form (y – y1 = m(x – x1)) to their graphs. 7. Determine the equation of a linear relation, given: a graph, a point and the slope, two points, a point and the equation of a parallel or perpendicular line to solve problems. 8. Represent a linear function, using function notation. 9. Solve problems that involve systems of linear equations in two variables, graphically and algebraically. Course Materials and Resources Foundations and Pre-calculus Mathematics 10, Pearson Class notes and worksheets Graphing Calculator (recommended TI83+ or TI84+) Lined paper Geometry set Pens, pencils and erasers Instructional strategies Will include, but not be limited to: lecture, question and answer sessions, discussions, smart board and white board work, group work, individual assistance, worksheets, text work, tests and quizzes. Scope and Sequence Unit 1 Measurement 2. Algebra and Number 3. Relations and Functions Text Chapters 1, 2 3, 4 5, 6, 7 Instructional Time 4-5 weeks 5-6 weeks 5-6 weeks Evaluation and Assessment Assignments and exercises Tests and Quizzes Final Exam 30% 40% 30% All assignments and exercises are to be completed neatly in pencil and are due at the beginning of class; on or before the due date. Regular attendance to class is very important to academic success and poor attendance may result in detentions and the loss of extra-curricular privileges. If a student is absent he or she must catch up on work missed. Collection of all notes and handouts and completion of all assignments missed due to an absence are the responsibility of the student.