P20.8
Demonstrate understanding of quadratic equations including the solution of:
  • single variable equations
  • systems of linear-quadratic and quadratic-quadratic equations in two variables.

[C, CN, PS, R, T, V]

Indicators for this outcome
(a) $ \text "Note: It is intended that the quadratic equations be limited to those that correspond to quadratic functions."$
(b)

Explain, using examples, the relationship among the roots of a quadratic equation, the zeros of the corresponding quadratic function and the x-intercepts of the graph of the quadratic function.

(c)

Derive the quadratic formula, using deductive reasoning.

(d)

Apply strategies for solving quadratic equations of the form $ax^2 + bx + c = 0$ including:

  • determining square roots"
  • factoring"
  • completing the square"
  • applying the quadratic formula"
  • graphing its corresponding function, with and without the use of technology"
(e)

Explain different strategies for verifying the solution to a quadratic equation.

(f)

Explain, using examples, how the discriminant may be used to determine whether a quadratic equation has two, one, or no real roots; and relate this knowledge to the number of zeros that the corresponding quadratic function will have.

(g)

Apply knowledge of quadratic equations and functions to identify and correct any errors within a solution to a quadratic equation.

(h)

Solve situational questions involving the writing and solving of quadratic equations.

(i)

Match systems of linear-quadratic and quadratic-quadratic functions to situations.

(j)

Develop, generalize, explain, and apply strategies for solving systems of linear-quadratic and quadratic-quadratic functions, including:

  • graphically
  • algebraically
  • with the use of technology.
(k)

Explain the meaning of the intersection point of a system of linear-quadratic or quadratic-quadratic equations in terms of the situation being modeled.

(l)

Illustrate and explain how a system of linear-quadratic or quadratic-quadratic equations may have zero, one, two, or an infinite number of solutions.

(m)

Solve situational questions by using systems of linear-quadratic or quadratic-quadratic equations.

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R053025
McGraw-Hill Ryerson Pre-Calculus 11. Student Edition
The student text consists of four units. Each unit opens with a two-page spread. The first page introduces what the students will learn throughout the unit and the second page introduces the unit project. Throughout the chapters are project corner boxes that will assist students to gather information for their projects. Each unit culminates with the project wrap-up. The chapters include career information based on the skills that will be learned. Opportunities are provided for students to make connections between math and the real world or to make connections to what students already know or may be studying in other classes. The student resource includes a table of contents, an answer key, a glossary and an index.
(More information)
•  McGraw-Hill Ryerson Pre-Calculus 11. Interactive Student Resource DVD
•  McGraw-Hill Ryerson Pre-Calculus 11. Interactive Teacher's Resource DVD
•  McGraw-Hill Ryerson Pre-Calculus 11. Teacher's Resource (Print & CD-ROM)
•  McGraw-Hill Ryerson Pre-Calculus 11. Teacher's Resource Package (Print, CD-ROM, Interactive Teacher's Resource DVD)
Media and Formats : Book
Price : $81.29
Record posted/updated: August 13, 2019