My PBL Project

Driving Question: How are slopes measured in a 3D room?

Introduction: This project is about slopes of the walls in a room. It focuses on the correlation between the slopes that are positive and negative as well as the correlation between walls that face the opposite of each other.This is displayed in a net format, because it is an easier way to represent a rectangular prism, the type of 3D figure that a room is.

Materials: poster board, construction paper and permanent markers

Principle: Slope of a line. The slope of a line measures the lines steepness and also indicates the lines direction.

When a number is greater than one, the slope is steeper. When the number is greater than or equal to 0 and less than 1, it is less steep.

The direction is indicated by the positivity or negativity of the slope.

Y₂ - Y₁

X₂ - X₁

Procedure: Find the length and height of a room

Use slope formula

Reflection:

What correlations are there between positive and negative slopes?

• There is a correlation between positive and negative slopes. To find one with the other, you multiply by -1.

What correlations are there between opposite walls?

• There is also a correlation between opposite walls, both the positive and negative slopes matching the one across from it when in a 3D shape.

Are 3D slopes possible?

• No, they are not. This is because the slope formula only has x and y in it and no z which would be the variable from the third dimension.