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How are the undefined terms used to establish definitions in geometry?
Why is the proper use of correct notation important?
Why is it important to identify and apply introductory vocabulary?
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3. Student Learning Map
- Topic:Basic Terms and Definitions
- Subject(s):Math
- Days:20
- Grade(s):9, 10, 11, 12
Key Learning:
The postulates and theorems of plane geometry are built upon three undefined terms.
Introductory geometric vocabulary can be represented symbolically.
Unit Essential Question(s):
Concept: Points, Lines and Planes Concept: Segments, rays, parallel lines and planes Concept: Measuring segments and angles Lesson Essential Question(s):What are the undefined terms and how are they important to geometry? (A)
What are the basic postulates that relate to points, lines, and planes? (A)
Explain how a postulate and a conjecture are alike and how they are different? (ET)
Lesson Essential Question(s):What is the difference between a line, a line segment, and a ray? (A)
How are parallel and skew lines alike? How are they different? (ET)
Lesson Essential Question(s):How is the Ruler Postulate applied to determine the length of a segment?
(A)How is the Protractor Postulate applied to determine the measure of angles?
(A)Explain how a postulate and a conjecture are alike and how they are different? (ET)
What are the Angle Addition and Segment Addition Postulates and how are they used?
(ET)How are a straightedge and compass used to construct congruent segments and angles and bisectors of segments and angles?
(A)Vocabulary:coordinate, congruent segments, midpoint, angle, acute angle, right angle, obtuse angle, straight angle, congruent angles
Concept: Angle Pairs Concept: The Coordinate Plane; Distance/Midpoint Formulas Concept: Introduction to Perimeter, Circumference, and Area Lesson Essential Question(s):How do you identify the different types of angle pairs?
(A)What are the similarities and differences between postulates and theorems?
(ET)How and when are the angle pair theorems applied?
(ET)Lesson Essential Question(s):What is The Distance Formula, and how and when is it used? (A)
How can a conjecture can be used to help solve a problem? (ET)
What is The Distance Formula, and how and when is it used? (ET)
How is the Ruler Postulate applied to determing the length of a segment? (A)
What is The Midpoint Formula, and how and when is it used? (A)
What is The Midpoint Formula, and how and when is it used? (ET)
Lesson Essential Question(s):What are the basic postulates that relate to points, lines, and planes? (A)
What is the formula for the perimeter and area of a rectangle? (A)
How is the Protrator Postulate applied to determine the measure of angles? (A)
What is the formula for the perimeter and area of a square? (A)
What are the Angle Addition and Segment Addition Postulates and how are they used? (A)
What is the formula for the circumference and area of a circle? (A)
Vocabulary:vertical angles, adjacent angles, complementary angles, supplementary angles, linear pair, theorem, paragraph proof
Vocabulary:Vocabulary:Concept: Classification of Triangles Concept: Measures of Interior/Exterior Angles of Triangles Concept: Measures of Interior/Exterior Angles of Polygons
Additional Information:
Ask an experienced coworker for additional reference texts and/or other materials.
Prentice Hall Geometry Ch.1(1.1, 2.5, 3.3, 3.4)
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:
Extending Thinking Lesson: