Estimating Areas: IM 7.3.6
[url=https://im.kendallhunt.com/MS/teachers/2/3/6/preparation.html]“Estimating Areas”[/url] from IM Grade 7 by [url=https://www.geogebra.org/m/gus8ffvr]Open Up Resources[/url] and Illustrative Mathematics. Licensed under the [url=https://creativecommons.org/licenses/by/4.0/]Creative Commons Attribution 4.0 license[/url].
Table of Contents
- Lesson 7.3.6
- IM 7.3.6 Lesson: Estimating Areas
- Practice 7.3.6
- IM 7.3.6 Practice: Estimating Areas
IM 7.3.6 Lesson: Estimating Areas
Find a strategy to make each calculation mentally:
[math]599+87[/math]
[math]254-88[/math]
[math]99\cdot75[/math]
Here is a floor plan of a house. Approximate lengths of the walls are given.
What is the approximate area of the home, including the balcony? Explain or show your reasoning.
The two triangles are equilateral, and the three pink regions are identical. The blue equilateral triangle has the same area as the three pink regions taken together.
What is the ratio of the sides of the two equilateral triangles?
IM 7.3.6 Practice: Estimating Areas
Find the area of the polygon. Show your reasoning.
Which measurements would you need to know in order to calculate an approximation of the area of Virginia? Label the sides of the polygons in the app above whose measurements you would need. (Note: You aren’t being asked to calculate anything.)
Jada’s bike wheels have a diameter of 20 inches. How far does she travel if the wheels rotate 37 times?
The radius of Earth is approximately 6,400 km. The equator is the circle around Earth dividing it into the northern and southern hemispheres. (The center of the earth is also the center of the equator.) What is the length of the equator?
Here are several recipes for sparkling lemonade. For each recipe, describe how many tablespoons of lemonade mix it takes per cup of sparkling water.
4 tablespoons of lemonade mix and 12 cups of sparkling water
4 tablespoons of lemonade mix and 6 cups of sparkling water
3 tablespoons of lemonade mix and 5 cups of sparkling water
[math]\frac{1}{2}[/math] tablespoon of lemonade mix and [math]\frac{3}{4}[/math] cups of sparkling water