Upload
antony-francis
View
221
Download
4
Embed Size (px)
Citation preview
GEOMETRYMeasurement
Terry Scates
Newton, Kansas
Instructor Notes
• Subject Area(s): Special Education Resource Math
• Grade level: 7th grade • Lesson Length: 50 minute class period• Synopsis: Solve for area of circles, triangles,
and parallelograms. • Objective/goals: Students will find the area
formulas for circles, squares, rectangles, triangles, and parallelograms (2.4.K1h).
• Kansas State Standard/Benchmark/Indicator; M.7.3.2.K4
Standard: Geometry
Benchmark: Measurement and Estimation
Indicator: Knows and uses perimeter and area formulas for circles, squares, rectangles, triangles, and parallelograms
• Explanation of Indicator
Find perimeter (distance around the outside) and area (square units of space inside) of various shapes
• Pre-requisite skills: Vocabulary – Area, base, height, triangle, parallelogram, pi, radius, circle.
• TurningPoint functions: standard question slides
• Materials: All instructional points and practice problems are provided within the power point slides. Practice questions are designed to be used with the TurningPoint clickers.
Instructor Notes
Lesson Outline
1. Warm-up: find area of basic shapes
2. Definitions / Key Concepts
3. Setting the Stage: Video lesson
4. Guided practice: Turning Point Questions
5. Independent practice: Paper & pencil
6. Closure: In the room find a triangle, a quadrilateral, or a circle. Using a ruler, yard stick, or metric stick determine the area of the shape you find.
Area of a Parallelogram
The area A of a parallelogram equals
the product (product means multiply) of
it’s base b and it’s height h.
Area=base X height
A=bh
The base is any side of a parallelogram.
Base
Base
The height is the length of the segment perpendicular to the base with endpoints on opposite sides.
height
Find the area of this parallelogram
8in
11in
19 in2
44 in2
88 in2
33%33%33%
a) 19 in2
b) 44 in2
c) 88 in2
CountdownCountdown
10
AnswerThe area A of a parallelogram equals
the product (product means multiply) of
it’s base b and it’s height h.
Area=base X height
A=bh or A=b X hA = 8(11) or A = 8 X 11
A = 88 in.2
Area of a Triangle
The area A of a triangle equals half (1/2) the
product (product means multiply) of it’s
base b and it’s height h.
Area = ½ X b X h
A=1/2bh
The height is the distance from a base
to the opposite vertex.
. height
The base of a triangle can beany of its sides.
base base
base
Find the area.
30
in2
60
in2
120
in2
33%33%33%
6in
10in
a) 30 in2
b) 60 in2
c) 120 in2
CountdownCountdown
10
AnswerThe area A of a triangle equals half (1/2)
The product (product means multiply) of
it’s base b and it’s height h.
Area = ½ X b X h or Area = .5 X b X h
A=1/2bh or A=.5bh
A = ½ (6)(10) or A = .5 X 6 X 10
A = ½ (60) or A = .5 X 60
A = 30 in.2
Area of a CircleThe area A of a circle equals the product(product means multiply) of pi (π) and thesquare of it’s radius r.
Area = πr2
(Pi = π = 3.14)
A=3.14 X r2 Radius
The radius r is the distance from the center to any point on the circle.
radius
Find the area. (Use 3.14 for π)
62.
8 in
2
314
in2
31.
4 in
2
33%33%33%
10in
a) 62.8 in2
b) 314 in2
c) 31.4 in2
CountdownCountdown
10
AnswerThe area A of a circle equals the product
(product means multiply) of pi (π) and thesquare of it’s radius r.
Area = π r2
A=3.14 X r2
A = 3.14 (10)2
A = 3.14 (100)
A = 314 in.2
Closure / Summary
In the room find a triangle, a
quadrilateral, or a circle. Using a ruler,
yard stick, or metric stick determine the
area of the shape you find.
References
Glencoe McGraw-Hill Math Connects Course 2, Study Guide and Intervention
and Practice Workbook, 2008.
Wiens, James, Composite Areas, PowerPoint presentation, December 2008.