The document discusses topics for today's class including plans, elevations, mass, volume, density, speed, distance, and time. It provides examples and explanations of how to draw plans and elevations of 3D shapes from different views. It also covers the relationships between density, mass, and volume as well as speed, distance, and time through defining equations. There are practice questions provided at the end to work with these concepts.

1. Topics for today’s class:
Plan, Elevation
Mass, Volume, Density
Speed, Distance, Time

2. PLAN, ELEVATION
Projections are the different ways you can represent a 3D shape in 2D (e.g. in a diagram).
A front elevation is a view from the front and a side elevation is a view from the side. A plan is a
bird’s eye view from above.

3. Drawing Plans and Elevations of 3D Shapes
Example: Draw a plan, a front elevation, and a
side elevation of the following 3D shape.
Viewed from the side, this shape would have a width
of 2 squares and a height of 1. So, the side
elevation looks like this:
If we stood at the front of the shape, we’d see a width
of 3 squares and a height of 1. So, the front
elevation would look like this:
Finally, from above (plan view), we’d see an L-
shape like this:

4. Drawing Plans and Elevations of More Complex 3D Shapes
For complex shapes, you may be given dimensions that you will need to use to draw the plans and elevations.
Example: A builder is planning on building the following 3D structure.
Draw the front elevation of the structure on the grid.
1 square = 1 ft in real life
•The width of the bottom of the front elevation is 8 ft, so this is 8 squares
wide on the grid.
•The width of the top of the front elevation is 4 ft, so this is 4 squares wide
on the grid.
•The middle of these two lines need to be inline vertically, and need to
be 6 squares apart.

5. Question 1: Draw a plan, a front elevation, and a side elevation of the following 3D shape.
The front elevation and side elevation are the same. They are both 3 squares wide and 1 square high.
The plan (the view from above) will be a cross shape, consisting of 5 squares.
All three projections can be seen below:

6. Question 2: Draw a plan and a side elevation of the following 3D shape.
Question 3: Draw a plan, a front elevation, and a side elevation of the following 3D shape.

7. MASS, VOLUME & DENSITY

8. Density
Density measures the relationship between the mass and volume of an object.
Density, Mass and Volume
Density, Mass and Volume are related by the following equations:
Density = Mass ÷ Volume
Mass = Density × Volume
Volume = Mass ÷ Density

11. SPEED, DISTANCE, TIME

12. Speed, Distance and Time
Speed, distance and time are related by the
following equations:
Speed = Distance ÷ Time
Distance = Speed × Time
Time = Distance ÷ Speed

14. PRACTICE QUESTIONS
Question 1: Jessica drives 36 miles in 50 mins. Calculate
her average speed in mph.
Question 2: Stevie runs at an average pace of 14 km/h
for 45 minutes. Calculate how far she runs.
Question 3: Amelia cycles 21 km at an average speed
of 30 km/h. Calculate how long the bike ride is in minutes.