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#### Description:

This web-based graphing activity explores the similarities and differences between Velocity vs. Time and Position vs. Time graphs. It interactively accepts user inputs in creating "prediction graphs", then provides real-time animations of the process being analyzed. Learners will annotate graphs to explain changes in motion, respond to question sets, and analyze why the two types of graphs appear as they do. It is appropriate for secondary physical science courses, and may also be used for remediation in preparatory high school physics courses. This item is part of the Concord Consortium, a nonprofit research and development organization dedicated to transforming education through technology. Users must register to access full functionality of all the tools available with SmartGraphs.

#### Subjects:

• Education > General
• Mathematics > General

English

#### Access Privileges:

Public - Available to anyone

Creative Commons Attribution Non-Commercial Share Alike

#### Collections:

None
Update Standards?

#### CCSS.Math.Practice.MP4: Common Core State Standards for Mathematics

Model with mathematics.

#### CCSS.Math.Content.8.F.B: Common Core State Standards for Mathematics

Use functions to model relationships between quantities.

#### CCSS.Math.Content.8.F.B.5: Common Core State Standards for Mathematics

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.

#### CCSS.Math.Content.HSA-REI.D: Common Core State Standards for Mathematics

Represent and solve equations and inequalities graphically

#### CCSS.Math.Content.HSA-REI.D.10: Common Core State Standards for Mathematics

Understand that the graph of an equation in two variables is the set of all its solutions plotted in the coordinate plane, often forming a curve (which could be a line).

#### CCSS.Math.Content.HSF-IF.B: Common Core State Standards for Mathematics

Interpret functions that arise in applications in terms of the context

#### CCSS.Math.Content.HSF-IF.B.4: Common Core State Standards for Mathematics

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.?

#### CCSS.Math.Content.HSS-ID.C: Common Core State Standards for Mathematics

Interpret linear models

#### CCSS.Math.Content.HSS-ID.C.7: Common Core State Standards for Mathematics

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

#### CCSS.Math.Content.HSS-IC.A: Common Core State Standards for Mathematics

Understand and evaluate random processes underlying statistical experiments

#### CCSS.Math.Content.HSS-IC.A.2: Common Core State Standards for Mathematics

Decide if a specified model is consistent with results from a given data-generating process, e.g., using simulation.
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