Havergal's Uncalendar, 2020-21 Academic Year

GRADE 9 MPM1D – Principles of Mathematics, Grade 9, Academic 1 CREDIT In Grade 9 Math, you will continue to build upon your algebra, numeracy, thinking and problem-solving skills. This year you will extend proportional reasoning to making predictions, as well as connect, represent and communicate your mathematical reasoning in various ways. You will explore equations of lines, relate them to graphs on a grid and use your skills to conduct your own research project. You will pose your own question based upon your curiosity and interests to see if there’s a relationship between two variables (e.g., amount of screentime on your phone and hours of sleep, number of sports you are involved in and how far you can be and still get a paper cup toss in). You will design your research project and identify how best to choose a sample of data. You will then collect, measure, analyze and present your data and conclusions using linear equations to make predictions. This will give you an opportunity to further discuss the meaning of rates, equations, slope and intercepts in a creative and engaging context. This is just one of the ways where you will apply newly acquired skills. You will expand upon your toolbox of working with algebraic expressions by manipulating exponents, coefficients, polynomials and systems of equations. Toward the end of the year, we also expand upon your geometry skills in two and three dimensions. Wherever possible, activities and lessons focus around balancing applications in real-life while challenging your ability for abstraction to help solidify your foundation for success in mathematics by framing math as a both a tool for informed decision-making and robust problem-solving. 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. You will take measurements using a mirror, clinometer app and other simple tools to estimate an inaccessible height or distance. You will also develop techniques to model data that follows trajectories of projectiles, arches and bridges. Wherever appropriate, your teachers will challenge you to apply your learning in creative but mathematically rigorous

ways to help you practice using newly acquired skills. Among the many important skills you will take away this year are: factoring, working with parabolas, trigonometry and solving problems involving 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 GRADE 11 MCF3M – Functions and Applications, Grade 11, University/College Preparation 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

26  HAVERGAL COLLEGE | Uncalendar 2020–21