Learning Math/CS/Engineering Design with Robotics
1.3.1. Performance Task: Perimeter and Area Around RoboTown (Part A)
Learning Objectives
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Lesson Description
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Introduction
In this section, you will be using your new skills with measurement, perimeter, and area to find those metrics around RoboTown. You will measure RoboTown itself, the track, and soccer field as part of the activities. But, there is much more to explore and measure on the RoboTown mat!
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Example 1: Measure Around the Garden
| In this first example, you will find the area and perimeter around the garden in RoboTown. The robot will first trace the area that you are meant to solve. Length = 7 inches, and the width = 6 inches
To find the perimeter, we would need to solve: 7 + 6 + 7 + 6 = 26 inches
To find the area, we multiple length x width. 7 x 6 = 42 square inches
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Justification
I know that the perimeter of the shape is 26 inches because that is the sum of all the sides. Perimeter means the total distance around a shape. Since the sides are 7, 6, 7, and 6 inches, I can add them together to find the perimeter.
I can find the area by counting all of the squares inside the shape, or multiplying the width and height together. Area means the amount of space inside a shape. 7 x 6 is 42, so 42 square inches is the area. I can check my answer by counting the number of squares inside the shape. |
Example 2: Measure and Part of the Track
| In this second example, you will find the area and perimeter around a section of the track. The robot will first trace the area that you are meant to solve.
Length = 6 inches, and the width = 16 inches
To find the perimeter, we would need to solve: 6 + 16 + 6 + 16 = 44 inches
To find the area, we multiple length x width. 6 x 16 =
We can use the distributive property to make this easier to solve. Let's break up the 16 into 10 + 6.
6 x (10 + 6) =
Then, using the distributive property,
(6 x 10) + (6 x 6) = 60 + 36
= 96 square inches |
Justification
| Fill in the blanks for the justification below: I know that the perimeter is ________. This is because the length is ________. and the width is ________. I can find the perimeter by _______________. I know that the area is _________. This is because the length is _________. and the width is __________. I can find the area by ___________________. |
Example 3: Measure a Part of the Soccer Field
| In this example, you will be solving for the area and perimeter over one part of the soccer field. The robot will trace over the area that you will be solving for.
To find the perimeter, we would need to solve: 12 + 6 + 12 + 6 = 36 inches
To find the area, we multiple length x width. 12 x 6 =
We can use the distributive property to make this easier to solve. Let's break up the 12 into 10 and 2.
6 x (10 + 2) =
Then, using the distributive property,
(6 x 10) + (6 x 2) = 60 + 12
= 72 square inches |
Justification
| Justify the solutions in your own words. |
