Explore Slopes
- Author:
- Sivakumar Srividya
- Topic:
- Algebra
Exploring Slopes
Explore slopes of straight lines
Horizontal line
1. Move the points A and B such that the line is horizontal. Discuss with your partner on how the slope of this line is zero using calculations and 'easy to climb' strategy. 2. Which parameter - rise or run is zero for horizontal line?
Vertical line
Now position the points A and B such that the line is vertical. Discuss the answers for the questions below within your group/partner. a) What is your rise? b) What is the run? c) What is the value of the slope of this line? d) How can you interpret this line using 'easy to climb' strategy? e) What is zero for vertical line - rise or run? d) The screen shows plus and minus infinity for slope value. Can you explain this?
Vertical line
3. Now position the points A and B such that the line is vertical. Discuss the answers for the questions below within your group/partner. a) What is your rise? b) What is the run? c) What is the value of the slope of this line? d) How can you interpret this line using 'easy to climb' strategy? e) What is zero for vertical line - rise or run? d) The screen shows plus and minus infinity for slope value. Can you explain this?
Climbing up and down
4. Now position the points A and B such that you climb up from left to right. a) Is rise and run positive or negative? b) Try this for 'easy to climb' and 'difficult to climb lines. c) Is slope positive or negative? Explain why mathematically and logically. 5. Now position points A and B such that you climb down from left to right. a) Is rise positive or negative? explain why. b) Is run positive or negative? explain why. c) Is slope positive or negative? Explain why mathematically and logically.