Exploring linear equations

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• Offline Activity (.zip)

• GeoGebra Files

  1. Activity 1 - Move the two points until the red line lies along the handrail of the staircase. Write down the equation of your final line in your workbook. Round numbers off to 2 decimal place (.ggb)
     
  2. Activity 2 - move the slider for c and observe the effect it has on the line. Write down in your workbook two sentences that describe the relationship between c and the line. "When c increase (.ggb)
     
  3. Activity 2 - move the slider for c and observe the effect it has on the line. Write down in your workbook two sentences that describe the relationship between c and the line. "When c increase (.ggb)
     
  4. Activity 4 - move the sliders for m and c and observe any effects on the line. (.ggb)
     
  5. Activity 5 - Investigating parallel lines. Move the two blue points until the blue line lies along the line of the stairs. What is similar about the equations for your two lines? What is diff (.ggb)
     
  6. Activity 6 - What if the staircase was reflected in the y-axis so it was pointing in the opposite direction? Adjust the red dots again, so the line runs along the handrail. Compare the new e (.ggb)
     
  7. Challenge - adjust the gradients and intercepts of each line so that they overlay the struts of this laboratory jack. (.ggb)