Page 140 - Mathematics GRADE 9, DE-STREAMED (MTH1W)
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C3.3 Application of Linear and Non-Linear Relations
compare two linear relations of the form y = ax + b graphically and algebraically, and interpret the meaning of their point of intersection in terms of a given context
Teacher supports
Examples
• compare graphically:
o create a graph comparing distance in kilometres and time in hours:
o compare rates of change, initial values, and point of intersection • compare algebraically:
o compare rates of change and initial values by examining the equations
o use the method of comparison to compare relation A: d = 8t + 2 to relation B: d = 12t by setting the equations equal to each other and solving for the variables to determine the
point of intersection
Instructional Tips
Teachers can:
• sequence the learning to begin with two relations that allow students to accurately locate the point of intersection on a graph and move to relations that require an algebraic method of comparison to accurately determine the point of intersection;
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