FS Maths Level 2 - 10th June, 2023 (Plans, elevation, mass+density+volume,speed+distance+time).

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.