1 / 31

Review Linear Equations

Review Linear Equations. Thursday, April 24 th. Review: Creating Equations.

laurie
Download Presentation

Review Linear Equations

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. Review Linear Equations Thursday, April 24th

  2. Review: Creating Equations Let’s assume that there is a linear relationship between amount of chocolate eaten and overall happiness. When Ada has eaten 1 chocolate bar, she feels an overall happiness of 5 smiles. When she has eaten 3 chocolate bars, she feels an overall happiness of 6 smiles. Create an equation for happiness as a function of chocolate bars eaten.

  3. Review: Creating Equations When Ada has eaten 1 chocolate bar, she feels an overall happiness of 5 smiles. When she has eaten 3 chocolate bars, she feels an overall happiness of 6 smiles. Create an equation for happiness as a function of chocolate bars eaten. Happiness Number of chocolate bars eaten

  4. Review: Creating Equations When Ada has eaten 1 chocolate bar, she feels an overall happiness of 5 smiles. When she has eaten 3 chocolate bars, she feels an overall happiness of 6 smiles. Create an equation for happiness as a function of chocolate bars eaten. (1, 5) Happiness Number of chocolate bars eaten

  5. Review: Creating Equations When Ada has eaten 1 chocolate bar, she feels an overall happiness of 5 smiles. When she has eaten 3 chocolate bars, she feels an overall happiness of 6 smiles. Create an equation for happiness as a function of chocolate bars eaten. (3, 6) (1, 5) Happiness Number of chocolate bars eaten

  6. Review: Creating Equations When Ada has eaten 1 chocolate bar, she feels an overall happiness of 5 smiles. When she has eaten 3 chocolate bars, she feels an overall happiness of 6 smiles. Create an equation for happiness as a function of chocolate bars eaten. (3, 6) (1, 5) Happiness Number of chocolate bars eaten

  7. Review: Creating Equations When Ada has eaten 1 chocolate bar, she feels an overall happiness of 5 smiles. When she has eaten 3 chocolate bars, she feels an overall happiness of 6 smiles. Create an equation for happiness as a function of chocolate bars eaten. (3, 6) Slope = ? (1, 5) Happiness Number of chocolate bars eaten

  8. Review: Creating Equations When Ada has eaten 1 chocolate bar, she feels an overall happiness of 5 smiles. When she has eaten 3 chocolate bars, she feels an overall happiness of 6 smiles. Create an equation for happiness as a function of chocolate bars eaten. (3, 6) Slope = ½ (1, 5) Happiness Number of chocolate bars eaten

  9. Review: Creating Equations When Ada has eaten 1 chocolate bar, she feels an overall happiness of 5 smiles. When she has eaten 3 chocolate bars, she feels an overall happiness of 6 smiles. Create an equation for happiness as a function of chocolate bars eaten. (3, 6) Slope = ½ (1, 5) Equation: y = ½x + b Happiness Number of chocolate bars eaten

  10. Review: Creating Equations When Ada has eaten 1 chocolate bar, she feels an overall happiness of 5 smiles. When she has eaten 3 chocolate bars, she feels an overall happiness of 6 smiles. Create an equation for happiness as a function of chocolate bars eaten. (3, 6) Slope = ½ (1, 5) Equation: y = ½x + b 5 = ½(1) + b Happiness Number of chocolate bars eaten

  11. Review: Creating Equations When Ada has eaten 1 chocolate bar, she feels an overall happiness of 5 smiles. When she has eaten 3 chocolate bars, she feels an overall happiness of 6 smiles. Create an equation for happiness as a function of chocolate bars eaten. (3, 6) Slope = ½ (1, 5) Equation: y = ½x + b 5 = ½(1) + b 9/2 = b Happiness Number of chocolate bars eaten

  12. Review: Creating Equations When Ada has eaten 1 chocolate bar, she feels an overall happiness of 5 smiles. When she has eaten 3 chocolate bars, she feels an overall happiness of 6 smiles. Create an equation for happiness as a function of chocolate bars eaten. (3, 6) Slope = ½ (1, 5) Equation: y = ½x + b 5 = ½(1) + b 9/2 = b y = ½x + 9/2 Happiness Number of chocolate bars eaten

  13. Parallel and Perpendicular Lines Matthew is walking down Keil drive, following the line: y = ¾x – 1 Meanwhile, Josh is biking down LaCroix, which is parallel to Keil and passes through the point (4, 5) at the intersection of Park and LaCroix. What is the equation for Josh’s path?

  14. Parallel and Perpendicular Lines Matthew is walking down Keil drive, following the line: y = ¾x – 1 Meanwhile, Josh is biking down LaCroix, which is parallel to Keil and passes through the point (4, 5) at the intersection of Park and LaCroix. What is the equation for Josh’s path? Slope = ?

  15. Parallel and Perpendicular Lines Matthew is walking down Keil drive, following the line: y = ¾x – 1 Meanwhile, Josh is biking down LaCroix, which is parallel to Keil and passes through the point (4, 5) at the intersection of Park and LaCroix. What is the equation for Josh’s path? Slope = ¾

  16. Parallel and Perpendicular Lines Matthew is walking down Keil drive, following the line: y = ¾x – 1 Meanwhile, Josh is biking down LaCroix, which is parallel to Keil and passes through the point (4, 5) at the intersection of Park and LaCroix. What is the equation for Josh’s path? Slope = ¾ Equation: Y = ¾x + b

  17. Parallel and Perpendicular Lines Matthew is walking down Keil drive, following the line: y = ¾x – 1 Meanwhile, Josh is biking down LaCroix, which is parallel to Keil and passes through the point (4, 5) at the intersection of Park and LaCroix. What is the equation for Josh’s path? Slope = ¾ Equation: Y = ¾x + b 5 = ¾(4) + b

  18. Parallel and Perpendicular Lines Matthew is walking down Keil drive, following the line: y = ¾x – 1 Meanwhile, Josh is biking down LaCroix, which is parallel to Keil and passes through the point (4, 5) at the intersection of Park and LaCroix. What is the equation for Josh’s path? Slope = ¾ Equation: Y = ¾x + b 5 = ¾(4) + b b = 2 y = ¾x + 2

  19. Parallel and Perpendicular Lines Matthew is walking down Keil drive, following the line: y = ¾x – 1 Meanwhile, Josh is biking down LaCroix, which is parallel to Keil and passes through the point (4, 5) at the intersection of Park and LaCroix. What is the equation for Josh’s path? y = ¾x + 2 Where do Josh and Matthew meet?

  20. Parallel and Perpendicular Lines Matthew is walking down Keil drive, following the line: y = ¾x – 1 Meanwhile, Josh is biking down LaCroix, which is parallel to Keil and passes through the point (4, 5) at the intersection of Park and LaCroix. What is the equation for Josh’s path? y = ¾x + 2 Where do Josh and Matthew meet? Never! There are no intersections between parallel lines with different intercepts

  21. Parallel and Perpendicular Lines Matthew is walking down Keil drive, following the line: y = ¾x – 1 Meanwhile, Katie is unicycling down Park, which is perpendicular to Keil and passes through the point (4, 5) at the intersection of Park and LaCroix. What is the equation for Katie’s path?

  22. Parallel and Perpendicular Lines Matthew is walking down Keil drive, following the line: y = ¾x – 1 Meanwhile, Katie is unicycling down Park, which is perpendicular to Keil and passes through the point (4, 5) at the intersection of Park and LaCroix. What is the equation for Katie’s path?

  23. Parallel and Perpendicular Lines Matthew is walking down Keil drive, following the line: y = ¾x – 1 Meanwhile, Katie is unicycling down Park, which is perpendicular to Keil and passes through the point (4, 5) at the intersection of Park and LaCroix. What is the equation for Katie’s path? Slope = ?

  24. Parallel and Perpendicular Lines Matthew is walking down Keil drive, following the line: y = ¾x – 1 Meanwhile, Katie is unicycling down Park, which is perpendicular to Keil and passes through the point (4, 5) at the intersection of Park and LaCroix. What is the equation for Katie’s path? Slope = –4/3

  25. Parallel and Perpendicular Lines Matthew is walking down Keil drive, following the line: y = ¾x – 1 Meanwhile, Katie is unicycling down Park, which is perpendicular to Keil and passes through the point (4, 5) at the intersection of Park and LaCroix. What is the equation for Katie’s path? Slope = –4/3 Equation: y = –4/3x + b

  26. Parallel and Perpendicular Lines Matthew is walking down Keil drive, following the line: y = ¾x – 1 Meanwhile, Katie is unicycling down Park, which is perpendicular to Keil and passes through the point (4, 5) at the intersection of Park and LaCroix. What is the equation for Katie’s path? Slope = –4/3 Equation: y = –4/3x + b 5 = –4/3(4) + b

  27. Parallel and Perpendicular Lines Matthew is walking down Keil drive, following the line: y = ¾x – 1 Meanwhile, Katie is unicycling down Park, which is perpendicular to Keil and passes through the point (4, 5) at the intersection of Park and LaCroix. What is the equation for Katie’s path? Slope = –4/3 Equation: y = –4/3x + b 5 = –4/3(4) + b b = 31/3 y = –(4/3)x + 31/3

  28. Parallel and Perpendicular Lines Matthew is walking down Keil drive, following the line: y = ¾x – 1 Meanwhile, Katie is unicycling down Park, which is perpendicular to Keil and passes through the point (4, 5) at the intersection of Park and LaCroix. What is the equation for Katie’s path? y = –(4/3)x + 10.33 Where do Katie and Matthew meet?

  29. Parallel and Perpendicular Lines Matthew is walking down Keil drive, following the line: y = ¾x – 1 Meanwhile, Katie is unicycling down Park, which is perpendicular to Keil and passes through the point (4, 5) at the intersection of Park and LaCroix. What is the equation for Katie’s path? y = –(4/3)x + 10.33 Where do Katie and Matthew meet? (5.4, 3.1)

  30. Jigsaw Review • Make 5 teams of 4-5 people. Make sure you fully understand the problem in your section. • Make 4 teams of 4-5 people ensuring that one member of each original team is there. Teach your teach how to solve the problems in your section.

  31. Individual Review Ask all the questions!

More Related