Graphing Lines

Graphing Lines Screenshot  Download  Embed
  • Graphing Linear Equations
  • Lines
  • Slope
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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

Download teacher tips PDF Overview of sim controls, model simplifications, and insights into student thinking ( PDF ).

Teacher-Submitted Activities

Slope-Intercept Lesson and Activity Sheet A gold star indicates high-quality, inquiry-based activities that follow the PhET design guidelines. This contribution was designed by PhET. Amanda McGarry HS
MS
Guided Mathematics
Point-Slope Lesson and Activity Sheet A gold star indicates high-quality, inquiry-based activities that follow the PhET design guidelines. This contribution was designed by PhET. Amanda McGarry HS
MS
Guided Mathematics
Slope Lesson and Activity Sheet A gold star indicates high-quality, inquiry-based activities that follow the PhET design guidelines. This contribution was designed by PhET. Amanda McGarry HS
MS
Guided Mathematics
Similar Triangles and Slope A gold star indicates high-quality, inquiry-based activities that follow the PhET design guidelines. Andrew Freeman MS Guided Mathematics
Making Sense of Slope A gold star indicates high-quality, inquiry-based activities that follow the PhET design guidelines. Jim Freund MS Guided Mathematics
How do PhET simulations fit in my middle school program? This contribution was designed by PhET. Sarah Borenstein MS Other Chemistry
Earth Science
Biology
Physics
Mapping of PhET and IBDP Physics Jaya Ramchandani HS Other Physics
MS and HS TEK to Sim Alignment Elyse Zimmer HS
MS
Other Biology
Chemistry
Physics
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 K-5
UG-Intro
HS
MS
Other
Demo
Other
PRIMARIA: Alineación con programas de la SEP México (2011 y 2017) This contribution was designed by PhET. Diana López K-5
MS
Lab
HW
Guided
Demo
Discuss
Chemistry
Astronomy
Mathematics
Physics
1차 방정식의 그래프 SIM 사용지침서 이화국(Wha Kuk Lee) HS
MS
Demo
Lab
Biology
Chemistry
Earth Science
Mathematics
Astronomy
Physics
Coeficiente Angular e Equação Reduzida da Reta. José Gleison Alves da Silva e Francisco Régis Vieira Alves HS Other
Guided
Mathematics

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Design Team Third-party Libraries Thanks To
  • Ariel Paul (lead)
  • Chris Malley (developer)
  • Bryce Gruneich
  • Karina Hensberry
  • Patricia Loeblein
  • Amanda McGarry
  • Kathy Perkins
  • Piccolo2D