P7.3
Demonstrate an understanding of one- and two-step linear equations of the form ax/b + c = d (where a, b, c, and d are whole numbers, c ≤ d and b ≠ 0) by modeling the solution of the equations concretely, pictorially, physically, and symbolically and explaining the solution in terms of the preservation of equality.

[C, CN, PS, R, V]

Indicators for this outcome
(a)

Model the preservation of equality for each of the four operations using concrete materials or using pictorial representations, explain the process orally and record it symbolically.

(b)

Generalize strategies for carrying out operations that involve the use of the preservation of equality.

(c)

Solve an equation by applying the preservation of equality.

(d)

Identify and provide an example of a constant term, a numerical coefficient, and a variable in an expression and an equation.

(e)

Represent a problem with a linear equation and solve the equation using concrete models, (e.g., counters, integer tiles) and record the process symbolically.

(f)

Draw a representation of the steps used to solve a linear equation.

(g)

Verify the solution to a linear equation using concrete materials or diagrams.

(h)

Explain what the solution for a linear equation means.

(i)

Represent a problem situation using a linear equation.

(j)

Solve a problem using a linear equation.

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