Havergal's Uncalendar, 2021-22 Academic Year

GRADE 9 MPM1D – Principles of Mathematics, Grade 9, Academic 1 CREDIT Patterns exist in everyday life. We use mathematics to represent patterns with words, tables, coordinates, equations and graphs. In the Grade 9 course, we focus on the linear relationship. We will pose questions and explore possible linear relationships between two variables, collect data, create scatterplots, represent trends with a line of best fit and eventually model the trend line with an algebraic equation. This gives us the opportunity to discuss the meaning of rates, equations, slope and intercepts in meaningful context. To work with algebraic equations, we must develop exceptional numeracy and algebraic skills, including competency with exponents, coefficients 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. As part of your final evaluation in this course, you apply your skills to conduct your own research project in which you pose a question, then collect, measure, analyze and present your data and conclusions using linear equations to make predictions.

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. Wherever appropriate, your teachers will challenge you to apply your learning in creative but mathematically rigorous ways to help you practise using newly acquired skills in real life contexts. 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

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