Suitable for Grades: 7th Grade, 8th Grade
CCSS: 7.RP.A.2, 8.SP.A.3
CCSS Description: Recognize and represent proportional relationships between quantities. a. Decide whether two quantities are in a proportional relationship, e.g., by testing for equivalent ratios in a table or graphing on a coordinate plane and observing whether the graph is a straight line through the origin. b. Identify the constant of proportionality (unit rate) in tables, graphs, equations, diagrams, and verbal descriptions of proportional relationships. c. Represent proportional relationships by equations. For example, if total cost t is proportional to the number n of items purchased at a constant price p, the relationship between the total cost and the number of items can be expressed as t = pn. d. Explain what a point (x, y) on the graph of a proportional relationship means in terms of the situation, with special attention to the points (0, 0) and (1, r) where r is the unit rate.
Use the equation of a linear model to solve problems in the context of bivariate measurement data, interpreting the slope and intercept. For example, in a linear model for a biology experiment, interpret a slope of 1.5 cm/hr as meaning that an additional hour of sunlight each day is associated with an additional 1.5 cm in mature plant height.
Learners will plot four different conversion graphs across this worksheet.
In question 1, students will plot a graph showing the equivalence between liters and pints. They will complete a table of values before plotting these points on pre-drawn axes.
Next, in question 2, pupils will use the fact that 1 kg ≈ 2.2 pounds to draw a conversion graph.
The graph in question 3 will show the currency conversion between € and $. This time, students are required to label the y-axis appropriately.
Lastly, students will use the approximate formula for converting between degrees Celsius and Fahrenheit to draw a conversion graph in question 4. Again, learners are required to label the y-axis before drawing the graph.