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Subject

Mathematics (NYS P-12 Common Core)

Description

This lesson is similar to Lesson One: Traveling Distances; however, this lesson is designed so students examine real-life data that illustrates a negative slope. Students interpret the meaning of the negative slope and y-intercept of the graph of the real-life data. By examining the graphical representation of the data, students relate the slope and y-intercept of the least squares regression line to the real-life data. They also interpret the correlation coefficient of the least squares regression line.

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Bathtub Water Levels

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Content Provider

Illuminations

Illuminations is a project designed by the National Council of Teachers of Mathematics (NCTM) and supported by the Verizon Foundation. NCTM serves as a content partner for Thinkfinity, the Verizon Foundation's free online professional learning community, where Illuminations is the primary contributor of resources for teaching and learning mathematics for grades pre-K—12. Connect and collaborate with over 70,000 educators though Thinkfinity! Share resources, join discussions and participate in special interest groups.

Related Academic Standards

New York State

8.EE.5 Graph proportional relationships, interpreting the unit rate as the slope of the graph. Compare two different proportional relationships represented in different ways. For example, compare a distance-time graph to a distance-time equation to determine which of two moving objects has greater speed.

8.SP.3 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.

F-IF.4 For a function that models a relationship between two quantities, interpret key features of graphs and tables in terms of the quantities, and sketch graphs showing key features given a verbal description of the relationship. Key features include: intercepts; intervals where the function is increasing, decreasing, positive, or negative; relative maximums and minimums; symmetries; end behavior; and periodicity.★

F-IF.7.a Graph linear and quadratic functions and show intercepts, maxima, and minima.

F-IF.7.e Graph exponential and logarithmic functions, showing intercepts and end behavior, and trigonometric functions, showing period, midline, and amplitude.

S-ID.7 Interpret the slope (rate of change) and the intercept (constant term) of a linear model in the context of the data.