MATHEMATICS DEPARTMENT Course Code: MFM1P1 Course Name: Foundations of Mathematics Level: Grade 9 Applied Instructor: Period: Room Number: Course Overview: This course enables students to develop mathematical ideas and methods through the exploration of applications, the effective use of technology; and extended experiences with hands-on activities. Students will investigate relationships of straight lines in analytic geometry; solve problems involving the measurement of three-dimensional objects and twodimensional figures; and apply key numeric and algebraic skills in problem solving. Students will also have opportunities to consolidate core skills and deepen mathematical concepts. 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 Study Expectations include: abilitiesSpecific for the benefitStrands of all in theirof classroom and 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: NUMBER SENSE AND ALGEBRA: 1. Consolidating numerical skills 2. Operating with exponents 3. Manipulating polynomial, expressions and solving equations 4. Using algebraic modeling to solve problems LINEAR AND NON-LINEAR RELATIONS: 1. Determining relationships 2. Comparing linear and non-linear relations 3. Describing connections between representations of relations ANALYTIC GEOMETRY: 1. Investigating the relationship between the equation of a relation and the shape of its graph 2. Investigating the properties of slope 3. Graphing and writing the equations of lines MEASUREMENT AND GEOMETRY: 1. Investigating the optimal values of measurements 2. Solving problems involving measurement 3. Investigating geometrical relationships Efforts will be made to meet the individual learning needs of students in order to ensure these expectations are being met. Course Breakdown Resources: The course will use a variety of resources The first week of class will include Diagnostic Assessments in preparation for Grade 9 course material. including SMARTBOARD technology, video, Internet Applications, math software, and a variety of print sources. The student workbook, TIPS 4RM: Grade 9 Applied, will be distributed to students during the first week of the course. The text and all other resources assigned to students are the responsibility of the student. Any damage incurred will result in payment of $85 for replacement. Unit 1: Measurement (2D and 3D) Unit 2: Plane Geometry Unit 3: Exploring Relationships: Lines and Curves of Best Fit Unit 4: Proportional Reasoning: Ratio, Rate and Proportion Unit 5: Linear Relations: Constant Rate of Change, Initial Condition, Direct and Partial Variation Unit 6: Multiple Representations of Linear Relations Unit 7: Algebraic Models: Making Connections Unit 8: Measurement Optimization Note: EQAO and Final Examination at the end of semester. Evaluation Structure: Knowledge/Understanding 30% Application 30 % Thinking/Inquiry 20 % Communication 20 % The above is reflected both 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 CPT (20%), and the EQAO Assessment Task (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 display of -Some success in -Considerable display -Thorough knowledge, skills displaying of knowledge skills understanding of Knowledge of facts & terms and ability to apply knowledge, skills and ability to apply concepts and ability Understanding of concepts & relationships concepts and application concepts to communicate, Thinking/Inquiry of concepts think creatively and Critical thinking skills 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 such as responsibility, organization, independent work, collaboration, initiative and self regulation 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 Test missed with a legitimate reason will be written within a few days of the student returning from the absence. Student eligibility to write 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