standard_description: Use similar triangles to explain why the slope m is the same between any two distinct points on a non-vertical line in the coordinate plane; derive the equation y = mx for a line through the origin and the equation y = mx + b for a line intercepting the vertical axis at b.
problem_activity: Problem 1
Use a gallon, quart, pint, and cup container and water to answer the following questions.
What do you notice about the relationship between the capacity of a gallon and the capacity of a quart?
What do you notice about the relationship between the capacity of a quart and the capacity of a pint?
What do you notice about the relationship between the capacity of a pint and the capacity of a cup?
What do you notice about the relationship between the capacity of a cup and the capacity of a fluid ounce?
Problem 2
Fill in the following conversion tables.
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Problem 3
Joseph is told to dissolve a medicine in 1 pint 4 ounces of water. He has a measuring cup marked in ounces. How many ounces of water should he pour?
Problem 4
Dominica’s mom signs up to bring a gallon of fruit punch to the family potluck. She plans to use the following recipe:
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Will this recipe yield a gallon of fruit punch? If not, how much more fruit punch would she need to make? If so, how much more than a gallon will she have?


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