November 11, 2016

This activity explores the relationship between graphs of Distance vs. Time and Velocity vs. Time by blending a motion sensor lab with student-generated digital graphs. First, learners use the online graph sketching tool to predict graphs of both distance and velocity for a toy car being pushed up a ramp and allowed to coast back down. Next, they use a motion sensor to collect data on a real toy being pushed up a ramp. Finally, they analyze differences in slope between their original predictions and the actual data from the motion sensor. This item is part of the Concord Consortium, a nonprofit research and development organization dedicated to transforming education through technology. The Concord Consortium develops digital learning innovations for science, mathematics, and engineering.

- Education > General
- Mathematics > General

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Follow precisely a multistep procedure when carrying out experiments, taking measurements, or performing technical tasks.

Integrate quantitative or technical information expressed in words in a text with a version of that information expressed visually (e.g., in a flowchart, diagram, model, graph, or table).

By the end of grade 8, read and comprehend science/technical texts in the grades 6—8 text complexity band independently and proficiently.

Reason abstractly and quantitatively.

Model with mathematics.

Graph points on the coordinate plane to solve real-world and mathematical problems.

Represent real world and mathematical problems by graphing points in the first quadrant of the coordinate plane, and interpret coordinate values of points in the context of the situation.

Represent and analyze quantitative relationships between dependent and independent variables.

Use variables to represent two quantities in a real-world problem that change in relationship to one another; write an equation to express one quantity, thought of as the dependent variable, in terms of the other quantity, thought of as the independent variable. Analyze the relationship between the dependent and independent variables using graphs and tables, and relate these to the equation.

Define, evaluate, and compare functions.

Compare properties of two functions each represented in a different way (algebraically, graphically, numerically in tables, or by verbal descriptions).

Use functions to model relationships between quantities.

Construct a function to model a linear relationship between two quantities. Determine the rate of change and initial value of the function from a description of a relationship or from two (x, y) values, including reading these from a table or from a graph. Interpret the rate of change and initial value of a linear function in terms of the situation it models, and in terms of its graph or a table of values.

Describe qualitatively the functional relationship between two quantities by analyzing a graph (e.g., where the function is increasing or decreasing, linear or nonlinear). Sketch a graph that exhibits the qualitative features of a function that has been described verbally.