P9.3
Demonstrate understanding of single variable linear inequalities with rational coefficients including:
  • solving inequalities
  • verifying
  • comparing
  • graphing.

[C, CN, PS, R, V]

Indicators for this outcome
(a)

Observe and describe situations relevant to self, family, or community, including First Nations and Métis communities, that involve inequalities and classify the inequality as being less than, greater than, less than or equal to, or greater than or equal to.

(b)

Verify whether or not a given rational number is part of the solution set for a linear inequality.

(c)

Generalize and apply rules for adding or subtracting a positive or negative number to determine the solution of an inequality.

(d)

Generalize and apply a rule for multiplying or dividing by a positive or negative number to determine the solution of an inequality.

(e)

Solve a linear inequality algebraically and explain the strategies used.

(f)

Compare and explain the process for solving a linear equation to the process for solving a linear inequality.

(g)

Explain how knowing the solution to a linear equality can be used to determine the solution of a related linear inequality, and provide an example.

(h)

Critique the statement: “For any linear equality, there are two related linear inequalities”.

(i)

Graph the solution of a linear inequality on a number line.

(j)

Explain why there is more than one solution to a linear inequality.

(k)

Verify the solution of a given linear inequality using substitution for multiple elements, in the solution and outside of the solution.

(l)

Solve a situational question involving a single variable linear inequality and graph the solution.

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R012392
Open Questions for Rich Math Lessons. Grades 7-9 (WNCP)
The resources in this series provide a range of open questions that cover the various parts of a problem-solving lesson. These questions may be used to discuss math concepts, to provide practice for concepts and skills, to create extra challenges for students or to act as models for developing your own open questions. Each book in the series focuses on a specific strand: Number, Patterns and Relations/Statistics and Probability and Shape and Space.
•  Open Questions for Rich Math Lessons. Grades 7-9, Number Strand
•  Open Questions for Rich Math Lessons. Grades 7-9, Patterns and Relations, Statistics and Probability
•  Open Questions for Rich Math Lessons. Grades 7-9, Shape and Space
Media and Formats : Book
Price : $54.95 ea.
Record posted/updated: February 10, 2020