Single Variable Linear Inequalities

Strand: Patterns and Relations (Variables and Equations)
Outcome: 4

Step 2: Determine Evidence of Student Learning

Guiding Questions

What evidence will I look for to know that learning has occurred?
What should students demonstrate to show their understanding of the mathematical concepts, skills and Big Ideas?

Using Achievement Indicators

As you begin planning lessons and learning activities, keep in mind ongoing ways to monitor and assess student learning. One starting point for this planning is to consider the achievement indicators listed in the Mathematics Kindergarten to Grade 9 Program of Studies with Achievement Indicators. You may also generate your own indicators and use them to guide your observation of the students.

The following indicators may be used to determine whether or not students have met this specific outcome. Can students:

translate a given problem into a single variable linear inequality, using the symbols ≥ , >,
< or ≤ ?
determine if a given rational number is a possible solution of a given linear inequality?
generalize and apply a rule for adding or subtracting a positive or negative number to determine the solution of a given inequality?
generalize and apply a rule for multiplying or dividing by a positive or negative number to determine the solution of a given inequality?
solve a given linear inequality algebraically, and explain the process orally or in written form?
compare and explain the process for solving a given linear equation to the process for solving a given linear inequality?
graph the solution of a given linear inequality on a number line and understand the differences between an integral solution and a rational solution?
compare and explain the solution of a given linear equation to the solution of a given linear inequality?
verify the solution of a given linear inequality, using substitution for multiple elements in the solution?
solve a given problem involving a single variable linear inequality and graph the solution?

Sample behaviours to look for related to these indicators are suggested for some of the activities listed in Step 3, Section C: Choosing Learning Activities.