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Students will able to build a stair case by using slope

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Slope is basically steepness of a line. To find the solpe of a line, we use rise/run formula. Rise is vertical diffferences between two points and run is the horizantal differences between two points.

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-Popsicle sticks
-Glue
-Glue Gun
-Glue Sticks
-Cardboard

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First of all, students will measure the rise and run vlaues of the stairs if they have any at home and record the data.
In school, they will build a staircase with popsicle sticks. The requirements of this staircase are ;
Rise height. The maximum rise height should be 20cm.

Run length. The minimum length of the step should be 25 cm.

Slope. The ratio of rise to run for each step should be between 0.45 and 0.60.

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A set of stairs is being built for the front of the new Middle School. The ratio of rise to run is 3 to 5.

1. Is this ratio within the guidelines?

2. Make a sketch of a set of stairs that meet this ratio. Label the lengths of the rise and run of a step. Hint: keep in mind that the maximum for the rise is 20cm and the minimum of the run is 25cm.

3. Sketch the graph of a line that passes through the origin and whose y-values change by 3 units for each 5-unit change in the x-values.

4. Write an equation for the line in part (3).

a. What is the coefficient of x in the equation?

b. How is the coefficient related to the steepness of the line represented by the equation?