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MATHEMATICS OBJECTIVE
Students will be able to:
use a graph to recognize proportionality.
identify a constant of proportionality from a graph.
interpret a point on a graph of a proportional relationship.
ESSENTIAL UNDERSTANDING
The graph of a proportional relationship is a straight line through the origin.
I can recognize a proportion on a graph.
I can identify the constant of proportionality from a graph.
I can graph a proportional relationship.
I can interpret a point on a graph of proportional relationships.
Accessible text
The graph of a proportional relationship is a straight line through the origin.
This graph shows that the total cost of tickets at a county fair is proportional to the number of tickets purchased. For each point (x, y) on the line except (0, 0), y/x = 5, which is the constant of proportionality.
[County Fair graph; x-axis Number of Tickets; y-axis Cost ($); plotted points (0,0), (1,5), (2,10), (3,15), (4,20), (5,25).]
0 tickets cost $0.
1 ticket costs $5. The constant of proportionality is 5.
Each time x increases by 1, y increases by 5.
Relationship: y = 5x.
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