Planning GuideGrade 9
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Polynomials

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

Step 3: Plan for Instruction

Guiding Questions

  • What learning opportunities and experiences should I provide to promote learning of the outcomes and permit students to demonstrate their learning?
  • What teaching strategies and resources should I use?
  • How will I meet the diverse learning needs of my students?

A. Assessing Prior Knowledge and Skills

Before introducing new material, consider ways to assess and build on students' knowledge and skills related to representing operations with integers, writing and modelling algebraic expressions and substitution for a variable in an algebraic expression outlined in earlier grades.

Ways to Assess and Build on Prior Knowledge and Skills

B. Choosing Instructional Strategies

Consider the following guidelines for teaching polynomials:

  • Students need to be engaged in learning activities that involve models that will enhance their understanding of algebraic concepts.
  • Students should be given many opportunities to make sense of the way that algebra uses symbols and letters to represent mathematical ideas. It is important for students to connect the differences and the similarities between operations with polynomial notation and operations with whole numbers, integers and rational numbers.
  • The use of models such as algebra tiles help students to visualize concepts. Visual representations build lasting and meaningful understandings in algebra.
  • Students should practise procedures for operations with polynomials only after they have learned to make sense of operations with concrete materials.
  • Students must be given opportunities to communicate their thinking with other students and with the teacher. Students learn by explaining their reasoning and by listening to the strategies of other students.
  • Students develop an understanding of concepts through problem solving.

C. Choosing Learning Activities

Learning Activities are examples of activities that could be used to develop student understanding of the concepts identified in Step 1.

Sample Learning Activities
Exploring Polynomials Download Activities  Word
Adding and Subtracting Polynomials Part A Download Activities  Word
Adding and Subtracting Polynomials Part B Download Activities  Word
Multiplying Polynomials by a Monomial Download Activities  Word
Multiplying Polynomials by a Monomial Using Personal Strategies Download Activities  Word
Dividing Polynomials by a Monomial Download Activities  Word
Dividing Polynomials by a Monomial Using Personal Strategies Download Activities  Word
Multiplying and Dividing Polynomials by a Monomial Download Activities  Word