This 66-slide PowerPoint presentation begins by showing how a relation can be represented using different Modes of Representation (i.e. Sentence Form, Equation, Ordered Pairs, Table of Values, and Graph).
The concept of a Linear Relation is explored, with special emphasis placed on developing both a conceptual understanding and computational fluency of slope. An example is included which illustrates how a single point and one's understanding of slope can be used to graph a linear relation.
The slope-intercept form is explored and students are required to correctly identify the slope and the x- and y- intercepts. An example is provided in which the equation of a linear relation is given in general form. Considerable emphasis is placed on algebraically converting the equation into its equivalent slope-intercept form so as to correctly identify the slope and y-intercept.
Having studied proportional situations, students learn the distinction between Direct (Proportional) Variations and Partial (Non-Proportional) Variations vis-a-vis y = ax versus y = ax + b.
The presentation concludes with sample problems taken from previous exams.
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