Slope & Graphs
Rate of Change
Pitch, grade, and Trig
Random Trivia
100
On a coordinate plane, a line pointing straight up and down has this type of slope.
Undefined Slope
100
Okotoks to Edmonton is 336.7 km. Traveling at a constant speed of 110 km/h, it will take this many hours to drive.
Hint - When you are trying to find a missing variable, you cross multiply
square/square = square/square
3.06 hours
100
A mountain highway sign indicates a 9% grade. Expressed as a decimal, the slope is this.
0.09
100
With over 300 million copies sold worldwide, this block-building game created by Mojang is the best-selling video game of all time.
Minecraft
200
A wheelchair ramp has a rise of 5 feet and a run of 15 feet. Written as a fraction, its slope is this.
1/3 or 5/15
200
If a bug moves 20 cm in 10 seconds, its rate of change is this. Ie., how fast is the bug moving per second?
2 cm/1 second
200
A loading ramp has a vertical height of 20 cm and a horizontal base of 35 cm. Rounded to two decimal places, Find Slope.
0.57
200
Known for its prominent system of rings made mostly of ice and rock, this gas giant is the second-largest planet in our solar system.
Saturn
300
If a financial investment is increasing in value over time, the slope describing this scenario is this. (positive, negative, undefined, or 0.)
Positive Slope
300
As you drive a car, the volume of gas remaining in your tank over distance represents this type of slope (Positive, Negative, undefined, or 0)
Negative slope
300
If a ramp has a rise of 1 m and a run of 6 m, its angle of elevation is approximately this many degrees.
Hint: Draw a triangle with a rise of 1 m and run of 6 m then use
Tantheta = (opp)/(adj)
9.5 degrees
300
Capable of accelerating from 0 to 100 km/h in under 3 seconds, this spotted feline is the fastest land animal on Earth.
Cheetah
400
The slope of the line passing through the points (-2, 4) and (3, -2) is this fraction.
Remember:
slope = (y2-y1)/(x2-x1)
-1.2
400
A temperature graph shows a decrease from 60°F to 25°F over a span of 7 hours. The rate of change per hour is this.
Hint: Convert the temperature into coordinate points Ex: (60,0) then find slope using
slope = (y2-y1)/(x2-x1)
-5°F/hour.
400
A skateboard rail rises 5 feet over a run of 8 feet. Using the Pythagorean theorem, the actual length of the rail surface is this many feet.
Hint: Draw a triangle then use
Tantheta = (opp)/(adj)
9.4 feet
400
Making up approximately 78% of Earth's atmosphere, this gas is the most abundant element in the air we breathe.
Nitrogen
500
Joseph is snowboarding down a hill with a slope of 0.87. If his horizontal distance (run) is 500 meters, his vertical height (rise) is this many meters.
Slope = (rise)/(run)
435 meters
500
Which of these has the SMALLEST slope? Options: Black, Blue, Red, or yellow
Yellow
500
To calculate the slope of a ramp with an angle of elevation of 8 degrees, you calculate tan(8°), which equals this decimal.
slope = 0.14
500
Spanning across eight South American countries, this region contains the world's largest tropical rainforest and produces roughly 20% of the world's oxygen.
Amazon Rainforest