Graphing Lines
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Back to HTML5 Version |
Topics
- Graphing Linear Equations
- Lines
- Slope
Description
Explore the world of lines. Investigate the relationships between linear equations, slope, and graphs of lines. Challenge yourself in the line game!
Sample Learning Goals
- Explain how the slope of a graphed line can be computed.
- Graph a line given an equation in either slope-intercept or point-slope form.
- Write an equation in slope-intercept or point-slope form given a graphed line.
- Predict how changing variables in a linear equation will affect the graphed line.
Standards Alignment
Common Core - Math
8.EE.B.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.EE.B.6
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.
HSF-IF.C.7
Graph functions expressed symbolically and show key features of the graph, by hand in simple cases and using technology for more complicated cases.*
HSF-IF.C.7a
Graph linear and quadratic functions and show intercepts, maxima, and minima.
HSF-LE.A.1a
Prove that linear functions grow by equal differences over equal intervals, and that exponential functions grow by equal factors over equal intervals.
Version 1.00
Teacher Tips
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Overview of sim controls, model simplifications, and insights into student thinking ( PDF ). |
Teacher-Submitted Activities
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Authors | Level | Type | Subject |
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| Slope-Intercept Lesson and Activity Sheet |
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Amanda McGarry | HS MS |
Guided | Mathematics |
| Point-Slope Lesson and Activity Sheet |
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Amanda McGarry | HS MS |
Guided | Mathematics |
| Slope Lesson and Activity Sheet |
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Amanda McGarry | MS HS |
Guided | Mathematics |
| Similar Triangles and Slope |
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Andrew Freeman | MS | Guided | Mathematics | |
| Making Sense of Slope |
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Jim Freund | MS | Guided | Mathematics | |
| Alignment of PhET sims with NGSS |
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Trish Loeblein | HS | Other | Biology Physics Chemistry Earth Science |
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| How do PhET simulations fit in my middle school program? |
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Sarah Borenstein | MS | Other | Physics Earth Science Chemistry Biology |
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| CCSS Math Alignment with Sims |
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Amanda McGarry | HS K-5 MS |
Other | Mathematics | |
| Mapping of PhET and IBDP Physics | Jaya Ramchandani | HS | Other | Physics | ||
| MS and HS TEK to Sim Alignment | Elyse Zimmer | MS HS |
Other | Chemistry Biology Physics |
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| PhET Simulations Aligned for AP Physics C | Roberta Tanner | HS | Other | Physics | ||
| Linear Relationships - 7th Grade ASC | Weston Steinberg | MS | Guided Demo |
Mathematics | ||
| Introduction to Linear Relationships -7th Grade | Weston Steinberg | MS | Guided | Mathematics | ||
| NGSS Simulation Alignment/Correlation | Matthew Huffine | UG-Intro HS MS K-5 |
Demo Other |
Other | ||
| 1차 방정식의 그래프 SIM 사용지침서 | 이화국(Wha Kuk Lee) | HS MS |
Demo Lab |
Astronomy Physics Mathematics Biology Earth Science Chemistry |
| Design Team | Third-party Libraries | Thanks To |
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