Is It Reasonable? Proportional Reasoning
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Is It Reasonable? Proportional Reasoning
Is it reasonable? For Grade 7: five claims about recipes, speeds, prices, map scales, pay, or percents to judge as reasonable, too high, or too low with proportional reasoning, each with the right amount worked out. With an answer key.
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Tell whether a table or graph shows a proportional relationship, find the constant of proportionality k = y/x, write y = kx, and say what a point on the graph means.
Reviewed by Mr. Daniel Carter, Teacher. How we check worksheets
How to use this sheet
- Have the child divide y by x for every row of a table. If the answer is the same each time, the relationship is proportional.
- For graphs, check two things: a straight line, and it passes through (0, 0).
- Have the child write the equation as y = kx and say what k means in the story.
Common mistakes
- Calling any straight line proportional. It must also go through the origin.
- Finding k as x divided by y instead of y divided by x.
- Calling a relationship proportional because both amounts go up. They must go up at the same rate.
