Meet Slope
SOME SIMPLE INSTRUCTIONS
Learning Objectives (Today we will...)
Math Objective
A Quick Review
Which is the best representation of a quotient?
What do we call lines that do not intersect?
How do you know?
****Out of the 3 rollercoasters that I drew below which of them is the steepest? How do you know?
How do we determine slope?
****How does this program know what the slope of the ramp is?
What does it mean when the slope of the ramp =0?
What does it mean for the slope to be UNDEFINED!
What would the slope of this ride be and why?
Is the slope a quotient?
****Explain your previous answer.
Lines with the same slope
****As you play around with the slope of the two lines, what happens when you set the slopes equal to each other?
Another Quick Review
How can I show two triangles are similar? Select all that apply.
Slope Triangles
Is Triangle 1 a slope triangle?
Is Triangle 2 a slope triangle?
Why is Triangle 3 a slope triangle?
What is similar between Triangle 1,2 and 3? Select all that apply.
I claim that all 4 triangles in this activity are similar.
****How would you defend this argument?
Extended Questions
Rewrite the following in your own words. Comprehend the term “slope” to mean the quotient of the vertical distance and the horizontal distance between any two points on a line.
Your skateboarding down a hill, you're going pretty fast and you estimate the slope of the hill to be around -5. Your friend is skating right next to you and claims his hill has a slope is -6. Is this possible if you are on the same hill? Justify your answer using the idea of parallel lines.
Using what you know about slope, which rollercoaster from the drawings was the steepest?