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How are the area formulas derived?
How can the formulas be applied to real world problems?
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Student Learning Map
- Topic:Area
- Subject(s):Math
- Days:12
- Grade(s):9, 10, 11, 12
Key Learning:
The formula for determining the area of a figure is derived from the characteristics of the figure.
Many real world applications exist for the area formulas.
Unit Essential Question(s):
Concept: Areas of Parallelograms and Triangles Concept: Areas of Trapezoids, Rhombuses, and Kites Concept: Areas of Regular Polygons Lesson Essential Question(s):What are the similarities/differences that exist between the formulas for the areas of rectangles and parallelograms? (A)How is the height of a triangle determined? (A)Lesson Essential Question(s):How is the area of a trapezoid related to the area of a parallelogram? (A)How is the area of a trapezoid related to the area of a parallelogram? (ET)What is a common characteristic of rhombuses and kites and how is it used to determine the area of the figures? (A)What is a common characteristic of rhombuses and kites and how is it used to determine the area of the figures? (ET)Concept: Circles and Arcs Concept: Areas of Circles and Sectors Concept: Lesson Essential Question(s):How is the area of a trapezoid related to the area of a parallelogram? (A)How is the circumference of a circle determined? (A)How is the area of a trapezoid related to the area of a parallelogram? (ET)How is determining arc length an extension of the circumference formula? (ET)How are these formulas applied in real world applications? (ET)How are these formulas applied in real world applications? (ET)Lesson Essential Question(s):How is the area of a circle determined? (A)What is a common characteristic of rhombuses and kites and how is it used to determine the area of the figures? (ET)How is determining the area of a sector an extension of the area formula? (ET)How are these formulas applied in real world situations? (ET)Lesson Essential Question(s):Vocabulary:circle, center, radius, congruent circles, diameter, central angle, semicircle, minor arc, major arc, adjacent arcs, circumference, pi, concentric circles, arc length, congruent arcs
Vocabulary:
Additional Info:
Ask an experienced coworker for additional reference texts and/or other materials. Prentice Hall Geometry Ch.7(7.1,7.4-7.7) Text Ancillary Materials Scientific Calculator, Protractor, Graph Paper FCAT Explorer Mission FCAT Polk County FCAT Item Test Bank www.PHSchool.com Kaplan Lesson Plans
Resources:
Acquisition Lesson(s):
1. How is the area of a trapezoid related to the area of a parallelogram?2. What is a common characteristic of rhombuses and kites and how is it used to determine the area of the figures?Extended Thinking Lesson(s):
1. What is a common characteristic of rhombuses and kites and how is it used to determine the area of the figures?2. How are these formulas applied in real world situations?