Student Learning Map

  • Topic:Basic Terms and Definitions
  • Subject(s):Math
  • Days:15
  • 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: Patterns and Inductive Reasoning
Concept: Points, Lines and Planes
Concept: Segments, rays, parallel lines and planes
Lesson Essential Question(s):

Why is pattern recognition important in the inductive reasoning process? (A)

Why is pattern recognition important in the inductive reasoning process? (ET)

How can a conjecture be used to help solve a problem? (A)

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)

Concept: Measuring segments and angles
Concept: The Coordinate Plane; Distance/Midpoint Formulas
Concept: Introduction to Perimeter, Circumference, and Area
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)

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)

Additional Info:

Ask an experienced coworker for additional reference texts and/or other materials. Prentice Hall Geometry Ch.1(1.1-1.4,1.6-1.7) 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:

Vocabulary Report

  • inductive reasoning -
  • coordinate -
  • segment -
  • point -
  • space -
  • conjecture -
  • ray -
  • congruent segments -
  • midpoint -
  • opposite rays -
  • line -
  • counterexample -
  • angle -
  • collinear points -
  • parallel lines -
  • skew lines -
  • plane -
  • acute angle -
  • parallel planes -
  • coplanar -
  • right angle -
  • postulate -
  • obtuse angle -
  • straight angle -
  • axiom -
  • congruent angles -