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Enduring Understandings and Essential Questions

Math Grade 10 Applied
MFM2P

Proportional Reasoning
By the end of the course, students will:
•       solve problems derived from a variety of applications, using proportional reasoning
•       solve problems involving similar triangles
•       solve problems involving right triangles, using trigonometry

Applying Piecewise Linear Functions
By the end of the course, students will:
•       explain the characteristics of situations involving piecewise linear functions (e.g., pay scale variations, gas consumption costs, water consumption costs, differentiated pricing, motion)
•       construct tables of values and sketch graphs to represent given descriptions of realistic situations involving piecewise linear functions, with and without the use of graphing calculators or graphing software
•       answer questions about piecewise linear functions by interpolation and extrapolation, and by considering variations on given conditions

By the end of the course, students will:
•       manipulate algebraic expressions as they relate to quadratic functions
•       determine, through investigation, the relationships between the graphs and the equations of quadratic functions
•       solve problems by interpreting graphs of quadratic functions

Enduring Understanding:
Relationships exist between real world quantities and they may be modeled and predicted with mathematics.

Essential Questions: What is an appropriate strategy and approach to model this relationship or any relationship? How can you use that model to make a prediction and solve a problem?

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