10/2/18
1
Perimeter,Surface Area
& Volume
Activating Prior Knowledge
What do you know about:Perimeter?Surface Area?Volume?
Where do we encounter these concepts in the our daily lives? Examples?
10/2/18
2
Unit Overview
Big Idea:We can make sense of 3D objects by analyzing and measuringthe objects length, surface area, and volume.
By the end of this unit students will be able to:Understand the difference between Perimeter, Surface Area & Volume.Know how to determine the Perimeter, Surface Area & Volume of a variety of objects.Be able use a variety of measuring tools fluently and accurately.Analyze and understand problems involving in 3D shapes.
Unit Overview
We will be doing more hands on activities for this unit…participation is a must!!!! You will not have time to make these activities up!!!
Few ideas I have include...3D Shape Activity...Today J!!!Measuring Density LabPlatonic SolidsHouse Design (multi-unit Project)
10/2/18
3
Terminology
Perimeter
Is the distance around a 2D shape. Units = Length
10 m
8 m8 m
15 m
21 m
Perimeter = 10 m + 8 m + 8 m + 15 m + 21 m
= 62 m
Trick:When you see the word perimeter, think of how far you would have to walk around around the shape
Terminology
Surface Area
The amount of area needed cover the entire exposed surface of the shape. Can be 2D or 3D objects. Units = Length2
Trick:When you see the word Surface Area, think of what surfaces would be covered in paint.
5 m
10 m
13 m
16.4 m
10/2/18
4
Terminology
Surface Area
Some complex shapes may need be broken down into simpler and easier to calculate shapes.
5 m
10 m
13 m
16.4 m
SATotal = SA Rectangle + SA Triangle
SA Rectangle = L x W
SA Rectangle = 10 m x 5 m = 50 m2
SA Triangle = (B x H) / 2
SA Triangle = (8 m x 10 m) / 2SA Triangle = 80 m2 / 2 = 40 m2
SATotal = 50 m2 + 40 m2 = 90 m2
Terminology
Volume
The amount of physical space occupied by a 3D object. As with Surface Area some complex shapes may need be broken down into simpler and easier to calculate shapes. Units = Length3
2 m
6 m
10 m
5 m2 m
10/2/18
5
Terminology
Volume 2 m
6 m
10 m
5 m2 m
VolumeTotal = VGreen+ VOrange
VGreen = L x W x H = 10 m x 6 m x 2 m = 120 m3
VOrange = L x W x H = 10 m x 2 m x 5 m = 100 m3
VolumeTotal = 120 m3 + 100 m3 = 220 m3
Terminology
Volume 2 m
6 m
10 m
5 m2 m
VolumeTotal = VGreen+ VOrange
VGreen = L x W x H = 10 m x 8 m x 2 m = 160 m3
VOrange = L x W x H = 10 m x 2 m x 3 m = 60 m3
VolumeTotal = 160 m3 + 60 m3 = 220 m3
