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):
 
 
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?
   
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)
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)
Concept: Classification of Triangles
Concept: Measures of Interior/Exterior Angles of Triangles
Concept: Measures of Interior/Exterior Angles of Polygons
Lesson Essential Question(s):

How do we classify triangles?

(A)

How is the measure of the exterior angle of a triangle related to the measures of its remote interior angles?

(ET)
Lesson Essential Question(s):

Why is the sum of the measures of the interior angles of a triangle 180 degrees?

(ET)
Lesson Essential Question(s):

How is the Triangle Angle-Sum Theorem used to find the sum of the measures of the interior angles of a convex polygon?

(A)

How is inductive reasoning used to justify the Polygon Exterior Angle-Sum Theorem?

(ET)
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:

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Acquisition Lesson:

Extending Thinking Lesson:

Vocabulary Report

  • point -
  • acute triangle -
  • coordinate -
  • vertical angles -
  • exterior angle of a triangle -
  • segment -
  • polygon -
  • convex polygon -
  • adjacent angles -
  • space -
  • congruent segments -
  • remote interior angle -
  • right triangle -
  • ray -
  • obtuse triangle -
  • concave polygon -
  • midpoint -
  • complementary angles -
  • opposite rays -
  • line -
  • equilateral polygon -
  • supplementary angles -
  • equiangular triangle -
  • parallel lines -
  • collinear points -
  • angle -
  • plane -
  • linear pair -
  • equilateral triangle -
  • regular polygon -
  • skew lines -
  • acute angle -
  • parallel planes -
  • right angle -
  • coplanar -
  • isosceles triangle -
  • theorem -
  • scalene triangle -
  • postulate -
  • paragraph proof -
  • obtuse angle -
  • axiom -
  • straight angle -
  • congruent angles -