Havergal's Uncalendar, 2016-2017 Academic Year

GRADE 10 MPM2D – Principles of Mathematics, Grade 10, Academic 1 CREDIT In Grade 10, you will extend your skills from graphing lines to graphing curves, expand your knowledge of triangles from Pythagoras to working with angles and sides using trigonometry and manipulate equations to solve more complex problems involving mixtures, geometry and informed decision-making. One of the activities we did last year involved taking measurements using a mirror, straw, thread and protractor to estimate an inaccessible height or distance. Another involved providing mathematical evidence as an expert witness about the trajectory for Angry Birds who are on trial. Wherever appropriate, your teachers will challenge you to apply your learning in creative but mathematically rigorous ways to help you practice newly acquired skills. Among the many important skills you will take away this year are: factoring, working with parabolas, trigonometry, solving multiple equations. Across the units, you will often find there are several possible methods of solving problems. Your mathematical work can lead to you one, two or even some “impossible” results. As always, you will be challenged to develop and compare strategies of solving problems, communicate your reasoning and discuss the reasonableness of your results clearly and convincingly. Prerequisite: Principles of Mathematics, Grade 9, Academic, MPM1D 1 CREDIT The big idea of this course is that real-world scenarios are built on relationships between independent and dependent variables. These relationships form patterns that can be represented using words, tables of values, equations, mappings, sets of ordered pairs and graphs. The three basic relationships studied in this course include the quadratic, trigonometric and exponential functions. In order to work with these functions, you will consolidate the algebraic concepts and procedures required to manipulate these functions in equation form and will use technology to investigate patterns and solve problems based on graphical representations of these functions. The course finishes with an investigation of financial mathematics as an application of exponential functions. Although algebraic solutions to many problems will be required, this course will be less algebra intensive than MCR3U. Students who successfully complete this MCF3M course may proceed onto the Grade 12 MDM4U Data Management course. The pace of this course allows students to review and focus on the essential skills needed to see real-life connections to quadratic, exponential and trigonometric equations. Students selecting MCF3M may only proceed to MDM4U. Students should check the prerequisites of the Mathematics 4U level courses when selecting their Grade 11 level course. Prerequisite: MPM2D – Principles of Mathematics, Grade 10, Academic GRADE 11 MCF3M – Functions and Applications, Grade 11, University/College Preparation

42  HAVERGAL COLLEGE | Uncalendar 2016–2017