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Course: Mathematics 11 Pre-Calculus Teacher Name: Sebastian Cabrera and Jordan Dickson Contact information: scabrera@sd44.ca; jdickson@sd44.ca Website information: https://www.sd44.ca/school/summer/pages/default.

1 Course: Mathematics 11 Pre-Calculus Teacher Name: Sebastian Cabrera and Jordan Dickson Contact information: Website information: Course Description: The Math Pre-Calculus 11 course is designed to provide students with the mathematical understanding and critical thinking skill identified for entry to university level mathematics, science, engineering, or other mathematically intensive fields of study. Topics include Solving Quadratic, Analyzing Quadratic Function, Graphing Inequalities & Systems of, Trigonometry, Rational Expressions &, Absolute Value & Reciprocal, and Exponential and Financial Literacy. Course Expectations: It is expected that students will: Abide by the student Code of Conduct Adhere to the Academic Honesty policy Adhere to the Summer Learning Student Engagement policy Respect yourself and others Attend every class and be punctual Inquire, think, and participate to the best of your individual ability Access technology in class for learning purposes only & only when instructed to do so Challenge yourself and have fun learning Be prepared for class (Pre-Calculus workbook, notebook, graphing calculator, pencil, eraser, etc) Summer Learning policies can be accessed at:

2 Big Ideas: Proportional comparisons: Geometry and Measurement: Proportional reasoning is used to make sense of multiplicative relationships. Operation: Computational Fluency: Development of computational fluency requires a strong sense of number. : Patterning: Patterns are used to identify regularities and form generalizations. Connected: Number: Algebraic reasoning is used to describe and analyze mathematical relationships. By the end of this course students will be expected to understand the following big ideas: Demonstrate an understanding of the absolute value of real numbers. Solve problems that involve operations on radicals and radical expressions with numerical and variable radicands. Solve problems that involve radical equations (limited to square roots). Determine equivalent forms of rational expressions (limited to numerators and denominators that are monomials, binomials or trinomials). Perform operations on rational expressions (limited to numerators and denominators that are monomials, binomials or trinomials). Solve problems that involve rational equations (limited to numerators and denominators that are monomials, binomials or trinomials). Demonstrate an understanding of angles in standard position [0 to 360 ]. Solve problems, using the three primary trigonometric ratios for angles from 0 to 360 in standard position. Solve problems, using the cosine law and sine law, including the ambiguous case Factor polynomial expressions of several forms. Graph and analyze absolute value functions (limited to linear and quadratic functions) to solve problems. Analyze quadratic functions of several forms and determine the: vertex, domain and range, direction of opening, axis of symmetry, x- and y-intercepts. Solve problems that involve quadratic equations. Solve, algebraically and graphically, problems that involve systems of linear-quadratic and quadratic-quadratic equations in two variables. Solve problems that involve linear and quadratic inequalities in two variables. Solve problems that involve quadratic inequalities in one variable. Analyze exponential function to solve problems including those related to financial literacy, growth and decay. Graph and analyze reciprocal functions (limited to the reciprocal of linear and quadratic functions). BC s New Curriculum (Big Ideas, Curricular and Core Competencies) for Pre-calculus 11 can be accessed at:

3 Curricular Competencies: Reasoning and analyzing Use reasoning and logic to analyze and apply mathematical ideas Estimate reasonably Demonstrate fluent and flexible thinking of number Use tools or technology to analyze relationships and test conjectures Model mathematics in contextualized experiences Understanding and solving Develop, demonstrate, and apply conceptual understanding of mathematical ideas Visualize to explore and illustrate mathematical concepts and relationships Apply flexible strategies to solve problems in both abstract and contextualized situations Engage in problem-solving experiences that are connected to place, story, cultural practices, and perspectives relevant to local First Peoples communities, the local community, and other cultures Communicating and representing Communicate mathematical thinking in many ways Use mathematical vocabulary and language to contribute to mathematical discussions Represent mathematical ideas in a variety of ways Explain and justify mathematical ideas Connecting and reflecting Reflect on mathematical thinking Use mathematics to support personal choices Connect mathematical concepts to each other and to other areas and personal interests Incorporate First Peoples worldviews and perspectives to make connections to mathematical concepts Core Competencies: Communication Connect and engage with others (to share and develop ideas) Acquire, interpret and present information (includes inquiries) Critical Thinking Analyze and critique Question and investigate Personal Awareness and Responsibility Self-determination Self-regulation Well-being

4 Course Content: Estimated Time Sequence Week 1 July 5 to July 7 Week 2 July 10 to July 14 Unit Chapters Topics Summative Assessment Quadratics Exponential Rational Expressions Ch 3 Solving Quadratic Ch 4 Analyzing Quadratic Handout Exponential and Financial Literacy Ch 7 Rational Expressions and Factoring, solving quadratic equations, using the quadratic formula Graphing quadratics, quadratics in standard and general form, solving for zeros and vertices Simple exponential function, graphs, exponential growth and decay. Investments and loans (Compounded yearly and compounded greater than yearly) Equivalent expressions, multiplying/dividing expressions, simplifying rational expressions, solving rational equations Ch. 3 Mid Chapter Quiz Ch. 3 Test Ch. 4 Mid- Chapter Quiz Ch. 4 Test Assignments Exponential and Exponential Literacy Mid Chapter Quiz and Ch Test Ch. 7 Mid- Chapter Quiz Ch. 7 Test Assignments Week 3 July 17 to July 21 Week 4 July Week 5 July 31- August 2 Absolute Value, Radicals, and Reciprocal Ch 2 Absolute Value and Radicals Ch 8 Absolute Value and Reciprocal Absolute values of real numbers, adding/subtracting/multi plying/dividing radical expressions Graphing absolute value and reciprocal functions Trigonometry Ch 6 - Trigonometry Angles in standard position, sine, cosine and tangent, sine law and cosine law Inequalities and Systems of Ch 5 Graphing Inequalities and Systems of Review in preparation for Final Exam Solving and graphing one and two variable inequalities, Algebraically and graphically solving systems of equations Ch. 2 Mid Chapter Quiz Ch. 2 Test Ch. 8 Mid- Chapter Quiz Ch. 8 Test Assignments Ch. 6 Mid Chapter Quiz Ch. 6 Test Ch. 5 Mid- Chapter Quiz Ch. 5 Test Assignments Final Exam

5 Learning Plan: Student Learning Activities and Strategies: note-taking/active listening group work/peer teaching completing workbook questions/assignments both in class and at home completing graphs, work sheets and inquiry questions assigned on the board or overhead Assessment: Summative Assessment Tests and Mid-Chapter quizzes Assignments designed to draw ideas from a whole unit, or connect two separate units. Final Exam Formative Assessment Teacher observations (work habits) Regular, small scale quizzes with questions from the homework Self-Assessment and Reflections Evaluation: Based on performance standards and criteria: Summative Assessment Percentage of final Mark Term Assignments 80% (Submitted Assignments, Mid-Chapter Quizzes, Chapter Tests) School based Final Assessment 20% Total 100% Supplies: Pre-Calculus 11 Workbook (purchased on the first day), note paper, graph paper, and writing utensils to every class. Students will need a graphing calculator. (Texas Instrument 83 or 84 is preferred)

Syllabus ENGR 190 Introductory Calculus (QR)

Syllabus ENGR 190 Introductory Calculus (QR) Catalog Data: ENGR 190 Introductory Calculus (4 credit hours). Note: This course may not be used for credit toward the J.B. Speed School of Engineering B. S.