1 / 10

Exploring Linear Graphs with Equations Activity

Plot graphs and find connections between equations and graphs in this interactive linear graph activity. Learn to calculate values and interpret the meaning of slope and intercept.

hjuarez
Télécharger la présentation

Exploring Linear Graphs with Equations Activity

An Image/Link below is provided (as is) to download presentation Download Policy: Content on the Website is provided to you AS IS for your information and personal use and may not be sold / licensed / shared on other websites without getting consent from its author. Content is provided to you AS IS for your information and personal use only. Download presentation by click this link. While downloading, if for some reason you are not able to download a presentation, the publisher may have deleted the file from their server. During download, if you can't get a presentation, the file might be deleted by the publisher.

E N D

Presentation Transcript

  1. Nuffield Free-Standing Mathematics Activity Linear graphs

  2. y x 0 Linear graphs • use an equation to calculate values In this activity you will: • plot graphs • look for a connection between the numbers in the equation and its graph

  3. 5 4 3 2 1 –5 –4 –3 –2 –1 0 1 2 3 4 5 –1 –2 –3 –4 –5 A Coordinates x coordinate The position of a point is given by two coordinates. (2, 5) y coordinate y (2, 5) (– 2, 5 ) x (– 2, – 5 ) (2, – 5 )

  4. x y 5 4 3 2 1 –5 –4 –3 –2 –1 0 1 2 3 4 5 –1 –2 –3 –4 –5 B Graphs of the form y = x + c 0 1 2 y = x + 2 2 3 4 y x y = x + 2

  5. y y = x - 1 y = x - 2 5 4 3 2 x 1 –5 –4 –3 –2 –1 0 1 2 3 4 5 –1 y = x + 3 –2 y = x + 2 –3 y = x + 1 –4 –5 Answers for B

  6. -1 0 1 2 x y y 5 4 3 2 1 x –5 –4 –3 –2 –1 0 1 2 3 4 5 –1 –2 –3 –4 –5 C Graphs of the form y = mx y = 3x -3 0 3 6 y = 3x

  7. y = 2x y = -3x y = 3x y = -2x y 5 y = 0.5x 4 3 2 1 x –5 –4 –3 –2 –1 0 1 2 3 4 5 –1 –2 –3 –4 –5 Answers for C

  8. 0 1 2 y = 2x - 1 x y y 5 4 3 2 1 x –5 –4 –3 –2 –1 0 1 2 3 4 5 –1 –2 –3 –4 –5 D Graphs of the formy = mx+ c - 1 1 3 y = 2x - 1

  9. y y = 2x + 1 y = 2x - 1 5 4 3 y = 0.5x - 1 2 x 1 –5 –4 –3 –2 –1 0 1 2 3 4 5 –1 –2 –3 –4 –5 y = 3x - 1 Answers for D

  10. Linear graphs Reflect on your work Explain to your partner what the values mandcstand for in the equation y=mx+c. For example, for the equation y =2x+ 1, what do the ‘2’ and the ‘1’ tell you about the graph?

More Related