3. Student Learning Map

  • Topic:01. Tools of Geometry (Chapter 1)
  • Subject(s):Math
  • Days:10
  • Grade(s):9, 10
Key Learning: Geometry is a language consisting of many symbols, rules, and properties that are based on the coordinate plane.
Unit Essential Question(s):
 
 
What are the major tools of geometry?
   
Concept:

Patterns and Inductive Reasoning

PH: 1.1

Concept:

Points, Lines, and Planes

PH: 1.2

MCD: 1.2

Concept:

Segments, Rays, Parallel Lines, and Planes

PH: 1.3

MCD: 1.3

Lesson Essential Question(s):

How is inductive reasoning used to find patterns?

(A)
Lesson Essential Question(s):

What are the relationships between points, lines, and planes?

(A)
Lesson Essential Question(s):

How are segments and rays related to lines? (A)
Concept:

Measuring Segments and Angles

PH: 1.4

MCD: 1.4

Concept:

Basic Constructions

PH: 1.5

MCD: 10.1, 10.2

Concept:

The Coordinate Plane

PH: 1.6

MCD: 13.1, 13.5

Lesson Essential Question(s):

How are segments and angles measured ? (A)

(ET)
Lesson Essential Question(s):

How are angles and segments copied and bisected using construction techniques? (A)

(A)
Lesson Essential Question(s):

How do I use the distance and midpoint formulas?

(A)
Additional Information:

Prentice Hall Geometry Textbook (PH) Chapter 1 (1.1-1.6)

Geometry (McDougal/Littell-Jergensen/Brown/Jurgensen) Textbook (MCD) Chapter 1 (1.1-1.5), Chapter 10 (10.1-10.2), and Chapter 13 (13.1, 13.5)

Calculator, compass, straightedge, graph paper

Pasco Mathematics Performance Tasks (PMPT, formerly CAP): Patterning, House in the Woods

Also include Language Arts Benchmarks: LA.910.1.6.1 (use of vocabulary), LA.910.1.6.2 (read and discuss text), LA.910.1.6.5 (relate new vocabulary), and LA.910.3.1.3 (use organizational strategies and tools (e.g., technology, spreadsheet, outline, chart, table, graph, Venn Diagram)).

Resources:

View As PDF

Acquisition Lesson:

Extending Thinking Lesson:

Vocabulary Report

  • inductive reasoning -
  • congruent segments -
  • segment -
  • construction -
  • point -
  • Distance Formula -
  • straightedge -
  • Midpoint Formula -
  • ray -
  • midpoint -
  • space -
  • conjecture -
  • counterexample -
  • compass -
  • angle -
  • line -
  • opposite rays -
  • collinear points -
  • parallel lines -
  • acute angle -
  • perpendicular lines -
  • plane -
  • perpendicular bisector -
  • skew lines -
  • right angle -
  • angle bisector -
  • obtuse angle -
  • parallel planes -
  • coplanar -
  • straight angle -
  • postulate -
  • congruent angles -
  • axiom -