MATHEMATICS DEPARTMENT Course Code Course Name Level Instructor Period Room Number MBF3C1 College Preparation Grade 11 Course Overview This course enables students to broaden their understanding of mathematics as a problem solving tool in the real world. Students will extend their understanding of quadratic relations; investigate situations involving exponential growth; solve problems involving compound interest; solve financial problems connected with vehicle ownership; develop their ability to reason by collecting, analyzing, and evaluating data involving one variable; connect probability and statistics; and solve problems in geometry and trigonometry. Students will consolidate their mathematical skills as they solve problems and communicate their thinking. Prerequisite: Foundations of Mathematics, Grade 10, Applied Connection to our Catholic Faith: Students will apply Catholic values to pose and solve problems, to make logical decisions, and to become critical thinkers who share their abilities for the benefit of all in their classroom and school community. A supportive mathematics classroom provides a caring and sensitive environment where the dignity and value of all students is respected and affirmed as they grow in confidence in their mathematical abilities. Mathematical investigations will promote a respect for God’s creation and an understanding of the need to use resources wisely. A student will become self-directed, responsible and life-long learner in the mathematics classroom. Specific Strands of Study and Expectations include MATHEMATICAL MODELS 1. Make connections between the numeric, graphical, and algebraic representations of quadratic relations, and use the connections to solve problems. 2. Demonstrate an understanding of exponents, and make connections between the numeric, graphical, and algebraic representations of exponential relations. 3. Describe and represent exponential relations, and solve problems involving exponential relations arising from real-world applications. PERSONAL FINANCE 1. Compare simple and compound interest, relate compound interest to exponential growth, and solve problems involving compound interest. 2. Compare services available from financial institutions, and solve problems involving the cost of making purchases on credit. 3. Interpret information about owning and operating a vehicle, and solve problems involving the associated costs. GEOMETRY AND TRIGONOMETRY 1. Represent, in a variety of ways, two-dimensional shapes and three-dimensional figures arising from real-world applications, and solve design problems. 2. Solve problems involving trigonometry in acute triangles using the sine law and the cosine law, including problems arising from real-world applications. DATA MANAGEMENT 1. 2. Solve problems involving one-variable data by collecting, organizing, analyzing, and evaluating data. Determine and represent probability, and identify and interpret its applications. Efforts will be made to meet the individual learning needs of students in order to ensure that these expectations are being met. Course Breakdown Resources Unit 1: Trigonometry Unit 2: Quadratic Relations Part I Unit 3: Quadratic Relations Part II Unit 4: Exponents Unit 5: Compound Interest Unit 6: Personal Finance Unit 7: Probability Unit 8: One Variable Statistics Unit 9: Geometry in Design The course will use a variety of resources including SMARTBOARD technology, video, Internet Applications, math software, and a variety of print sources. The student textbook Foundations for College Mathematics 11 will be distributed to students during the first week of the course. Any damage incurred will result in payment for replacement ($85.00). Evaluation Structure Knowledge/Understanding 30% Application 30 % Communication 20 % Thinking/Inquiry 20 % The above is reflected in the term work (worth 70% of the final mark) and the summative work (worth 30% of the final mark). Summative work consists of the Final Exam (20%) and the Culminating Activity (10%) Evaluation Policy: Students will be assessed & evaluated according to the work produced & skills displayed. Methods of providing feedback will include assessing work in process & evaluating completed assignments, tests, co-operative learning activities, simulations and presentations. Peer & self-evaluations will also be utilized. Student marks will be determined by evaluating process & product according to 4 categories & 4 levels. Please see the chart below for specific skills and key words used to determine student competency in the different categories. Level Level 1: Level 2: Level 3: Level 4: Category 50-59% 60-69% 70-79% 80-100% Knowledge/Understanding -Limited -Some success -Considerable -Thorough display of in displaying display of understanding of Knowledge of facts & terms knowledge, knowledge, knowledge skills concepts and ability Understanding of concepts & relationships skills and skills and and ability to apply to communicate, Thinking/Inquiry ability to apply application of concepts think creatively and Critical thinking skills concepts concepts apply concepts Creative thinking skills Inquiry Skills Communication Communication of ideas and information Use of symbols & visuals Oral & written communication Application Applications in familiar contexts Transfer of concepts to new contexts Making logical conclusions and predictions Use of technology Making connections Feedback will also be provided for student learning skills. Skills like working independently, team work, organization, work habits and homework, and initiative are assessed independently student achievement and will be conducted through the use of a rubric indicating specific criteria to be achieved to receive each of the following letter grades: E –Excellent G – Good S – Satisfactory N - Needs Improvement Other Evaluation Issues LATE ASSIGNMENTS. Assignments submitted after the Primary Due Date established by the teacher will be accepted with a penalty of 5% off for the first day late and 2% for subsequent days to a maximum of 10%. This four day Penalty Zone is the maximum time allowed for submissions. The fourth day after the assignment is due is considered the Closure Date upon which no further assignments will be accepted. If the teacher returns the marked assignments within the four day penalty zone, the date of return is considered the closure date. Repeated lateness in submissions indicates poor organization skills and will result in parental contact and will be reflected in the learning skills section of the report card. INCOMPLETE ASSSIGNMENTS Assignments will be graded according to the extent with which they meet the criteria established in the rubric or evaluation structure. MISSED TESTS Tests missed with a legitimate reason will be written within a few days of the student returning from the absence. Student eligibility to write the test and the date of writing will be at the discretion of the teacher in consultation with the department head. CULMINATING ACTIVITIES These activities will be due toward the end of the course. They are valued between 5 and 15 per cent of the final mark and will reflect course material and competencies not otherwise reflected on the final exam. Plagiarism in any form reflects academic dishonesty and will result in a mark of zero for the assignment in question.