Use your knowledge of quadratic relationships and of how to solve quadratic equations to solve some application questions involving projectile motion, maximizing revenue, and geometric shapes.
Go to jensenmath.ca for supporting materials.
0:00 - intro
0:34 - example 1 rocket
9:57 - example 2 right triangle
14:40 - example 3 rectangle
18:03 - example 4 soccer ball
25:37 - example 5 maximizing revenue
Textbook:
McGraw Hill Ryerson - Principles of Math 10 - section 65 - solve problems using quadratic equations
Ontario curriculum expectations:
Strand - Quadratic Relations of the form y=ax^2+bx+c
Overall
- solve quadratic equations and interpret the solutions with respect to the corresponding
relations;
- solve problems involving quadratic relations
Specific
- solve problems arising from a realistic situation represented by a graph or an equation of a quadratic relation, with and without the use of technology (e.g., given the graph or the equation of a quadratic relation representing the height of a ball over elapsed time, answer questions such
as the following: What is the maximum height of the ball? After what length of time will the ball hit the ground? Over what time interval is the height of the ball greater than 3 m?).
- determine the zeros and the maximum or minimum value of a quadratic relation from its graph (i.e., using graphing calculators or graphing software) or from its defining equation (i.e., by applying algebraic techniques);