Principles of Mathematics, Grade 10, Academic

Teacher: Miss. Nieuwenhuis

Email:

Website: missn.pbworks.com

Office: Room 109

Course Content

This course enables students to broaden their understanding of relationships and extend their problem-solving and algebraic skills through investigation, the effective use of technology, andabstract reasoning. Students will explore quadratic relations and their applications; solve andapply linear systems; verify properties of geometric figures using analytic geometry; and investigatethe trigonometry of right and acute triangles. Students will reason mathematically andcommunicate their thinking as they solve multi-step problems.

(From Ministry of Education: The Ontario Curriculum Grades 9 and 10: Mathematics)

By the end of this course, students will:

A: Quadratic Relations of the Form y = ax2 + bx + c

  1. determine the basic properties of quadratic relations;
  2. relate transformations of the graph of y = x2 to the algebraic representation y = a(x – h)2+ k;
  3. solve quadratic equations and interpret the solutions with respect to the corresponding relations;
  4. solve problems involving quadratic relations.

B: Analytic Geometry

  1. model and solve problems involving the intersection of two straight lines;
  2. solve problems using analytic geometry involving properties of lines and line segments;
  3. verify geometric properties of triangles and quadrilaterals, using analytic geometry.

C: Trigonometry

  1. use their knowledge of ratio and proportion to investigate similar triangles and solve problems related to similarity;
  2. solve problems involving right triangles, using the primary trigonometric ratios and the Pythagorean theorem;
  3. solve problems involving acute triangles, using the sine law and the cosine law.

Mathematical Processes

The Mathematical Processes are a set of interconnected thinking skills that support lifelong learning in mathematics. Students develop and apply these skills in all math courses as they work to achieve the expectations outlined within each course. These skills are developed through problem-solving experiences that incorporate a variety of approaches, including investigation. The mathematical processes are:

  • Problem Solving
  • Reasoning and Proving
  • Reflecting
  • Selecting Tools and Computational Strategies
  • Connecting
  • Representing
  • Communicating

Student Absences

Students are responsible for all work missed regardless of the reason for the absence. If you are away, you WILL miss something important! Work must be completed before returning to school in order to remain connected to the development of the concepts.

Students who expect to miss school due to family vacations must notify the Principal in writing, in advance. Vacations cannot be recognized as legitimate reasons for exemption from formal evaluation. Refer to Math Department policy on Missed / Late Assessments for more detailed information

Textbook

Your text is Mathematics 10 (Nelson). You must return it in the condition that you receive it or you will be charged a fee for damages.

Required Materials

Students are responsible for bringing the following: pencils, eraser, ruler, binder, graph paper, lined paper, and a scientific calculator.

Evaluation

Students will be evaluated according to the categories of Knowledge and Understanding, Application, Communication, and Thinking as specified in the achievement chart of the Ministry of Education and Training curriculum documents. Evaluation should be viewed as an opportunity to demonstrate achievement of course expectations. Evaluation will be varied, and will include mastery tests, unit tests and performance assessments. It may also include other assignments, projects, investigations, and classroom activities.

Category / Weight (% of term) / Types of Assessments
Knowledge and Understanding / 30 / Mastery (10% of final mark) – Tests -- Assignments / Projects
Application / 30 / Tests -- Assignments / Projects
Communication / 20 / Tests -- Assignments / Projects -- Investigations
Performance Tasks
Thinking, Inquiry, Problem Solving / 20 / Tests -- Assignments / Projects -- Investigations
Performance Tasks

Summative Evaluation

The final mark has two components: term work (70%) and summative evaluation (30%). The summative evaluation occurs near the end of the course, and has two components: a final examination (20%) and a performance task (10%). Attendance is mandatory for both of these evaluations.

Learning Skills: Learning skills are student habits and behaviours that enable them to learn effectively and achieve their potential. They are critical to success in all subject areas. Work habits, team work, initiative, independent work, and organizational skills will be assessed throughout the course, and communicated on the report card.

Cheating: Your mark in this course should reflect your learning. Any attempt to gain marks without learning is considered cheating. If someone asks you to help them cheat – say NO!! Offer to help them learn. What to do if you are not getting the mark that you want:

  • Examine your course choice. Are you in the right course? Do you have the prerequisites? Do you have the required background knowledge?
  • Examine your learning skills. How is your attendance? Do you take notes? Listen in class? Engage in class activities? Keep an organized notebook? Do your homework? Come for extra help?
  • Examine your study habits. How do you prepare for tests?
  • Examine your commitments. Do you have time to do your homework? Are you too busy or tired?
  • Are there other personal or family issues affecting your learning?
  • Talk to your teacher or your guidance counselor. Don’t cheat yourself!

Personal Pledge of Academic Integrity

  1. I will not cheat or help others cheat.
  2. I will do my own work. I will do the best I can. If I need help, I will ask for it.
  3. I will not copy a classmate’s answers during a test, or ask a classmate for answers during a test.
  4. I will not show my test to a classmate. If they ask me, I will say no.
  5. I will not copy assignments or give my work to others to copy.
  6. I will not ask students in other classes to tell me what is on the test, or tell them what is on the test.
  7. I will not skip evaluations in an attempt to gain an unfair advantage.
  8. I will focus on my own learning as the most effective way to achieve the marks I desire.

Signature: ______Date: ______