Planning GuideGrade 9
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Polynomials

Strand: Patterns and Relations (Variables and Equations)
Outcomes: 5, 6, and 7

Step 1: Identify Outcomes to Address

Guiding Questions

  • What do I want my students to learn?
  • What can my students currently understand and do?
  • What do I want my students to understand and be able to do, based on the Big Ideas and specific outcomes in the program of studies?

See Sequence of Outcomes from the Program of Studies

Strand: Patterns and Relations (Variables and Equations)

Grade 8

Grade 9

Grade 10

Patterns and Relations

Specific Outcomes

1.

Model and solve problems concretely, pictorially and symbolically, using linear equations of the form:

  • ax = b
  • = b, a ≠ 0
  • ax + b = c
  • + b = c, a ≠ 0
  • a(x + b) = c

where a, b and c are integers.
[C, CN, PS, V]

 

Patterns and Relations

Specific Outcomes

5.

Demonstrate an understanding of polynomials (limited to polynomials of degree less than or equal to 2).
[C, CN, R, V]

6.

Model, record and explain the operations of addition and subtraction of polynomial expressions, concretely, pictorially and symbolically (limited to polynomials of degree less than or equal to 2).
[C, CN, PS, R, V]

7.

Model, record and explain the operations of multiplication and division of polynomial expressions (limited to polynomials of degree less than or equal to 2) by monomials, concretely, pictorially and symbolically.
[C, CN, R, V]

 

Algebra and Number

Specific Outcomes

4.

Demonstrate an understanding of the multiplication of polynomial expressions (limited to monomials, binomials and trinomials), concretely, pictorially and symbolically.
[CN, R, V]

5.

Demonstrate an understanding of common factors and trinomial factoring, concretely, pictorially and symbolically.
[C, CN, R, V]

Big Ideas

  • Algebraic expressions are composed of terms using numbers and variables to represent a number or relations between numbers.
  • A polynomial is a collection of terms that are linked together by addition or subtraction.
  • Algebra tiles can be used to model and explore polynomials.
  • Polynomials can be added and subtracted by combining like terms.
  • Multiplication and division of polynomials can be modelled with algebra tiles and area models.
  • The distributive property is used to multiply polynomials.
  • Dividing polynomials is the inverse operation of multiplying polynomials.