
10.1 - Area of Plane Figures
Presentation
•
Mathematics
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8th - 11th Grade
•
Practice Problem
•
Easy
Standards-aligned
Steve Dull
Used 26+ times
FREE Resource
12 Slides • 6 Questions
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10.1 - Area of Plane Figures
By Steve Dull
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Objective
To find area of parallelograms, triangles, trapezoids, and circles.
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We can think of the area of a two-dimensional ("plane") object as the number of square units it contains.
Each of the figures to the right has the same area.
You can see that counting boxes sometimes works well and sometimes not.
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Fortunately, there are formulas so we don't have to count boxes
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Rectangle formula is pretty straightforward
In middle school you probably learned "length times width" but because the formulas of many shapes are related we want to develop some common language. So we will say the area of a rectangle is "base times height".
Some text here about the topic of discussion
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On the next slide we'll look at the relationship between area of a rectangle and area of a triangle.
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​https://www.geogebra.org/m/jmgu5t2z
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Open Ended
Explain why the area of a triangle is half the area of a rectangle with the same base and height.
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Let's Practice
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Open Ended
Determine the area of the triangle
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A reminder
Recall from Unit 6 (properties of polygons)
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Multiple Choice
Determine the area of the parallelogram:
166.41 sq. in
91.59 sq. in.
45.8 sq. in.
1181.51 sq. in.
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The trapezoid area formula has a slight twist. It is half the height times the sum of the two bases.
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Open Ended
Determine the area of the trapezoid:
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Multiple Choice
How would you calculate the area of this circle?
A=(26)2⋅π
A=(3.14)(13)
A=26π
A=(13)2⋅π
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Open Ended
What is the area of the circle?
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Independent practice
Some text here about the topic of discussion
10.1 - Area of Plane Figures
By Steve Dull
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