3. Student Learning Map

  • Topic:05. Relationships Within Triangles (Chapter 5)
  • Subject(s):Math
  • Days:10
  • Grade(s):9, 10
Key Learning:

Important segment and angle relationships exist within triangles.
Unit Essential Question(s):
 
 

How are segments and angles formed within triangles related?
   
Concept:

Midsegments of Triangles

PH: 5.1

MA.912.G.2.6   MA.C.2.4.1   MA.C.1.4.1   MA.B.2.4.1  
Concept:

Bisectors in Triangles

PH: 5.2

MCD: 4.7, 10.4

MA.912.G.4.2   MA.C.2.4.1   MA.B.2.4.1  
Concept:

Concurrent Lines, Medians, and Altitudes

PH: 5.3

MCD: 10.3, 4.7

MA.912.G.6.1    MA.912.G.4.2   MA.C.3.4.2   MA.C.2.4.1   MA.B.2.4.1  
Lesson Essential Question(s):

How do I locate a triangle's midsegment?

(A)
Lesson Essential Question(s):

What observations can be made about angle bisectors and perpendicular bisectors?

 (A)
Lesson Essential Question(s):

How can the different points of concurrency be applied in real world situations? (A)

(ET)
Vocabulary:

midsegment, coordinate proof

Vocabulary:

equidistant

Vocabulary:

concurrent, point of concurrency, circumcenter of a triangle, circumscribed about, incenter of a triangle, inscribed in, median of a triangle, centroid, altitude, orthocenter

Concept:

Inequalitites in Triangles

PH: 5.5

MCD: 6.1, 6.4, 6.5

MA.912.G.4.7   MA.C.1.4.1  
Concept:
Concept:
Lesson Essential Question(s):

How are angles and sides of a triangle related?

 (A)
Lesson Essential Question(s):
Lesson Essential Question(s):
Vocabulary:

Vocabulary:

Vocabulary:

Additional Information:

Prentice Hall Geometry Textbook Chapter 5 (5.1-5.3, 5.5)

Geometry (McDougal/Littell-Jergensen/Brown/Jergensen) Textbook Chapter 4 (4.7), Chapter 10 (10.3, 10.4), and Chapter 6 (6.1, 6.4, 6.5)

Calculator, graph paper, compass, straightedge

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
Know - Understand - Do Organizer
Student Learning Map
Vocabulary Report

Acquisition Lesson:

Extending Thinking Lesson:

Vocabulary Report

  • midsegment -
  • equidistant -
  • concurrent -
  • coordinate proof -
  • point of concurrency -
  • circumcenter of a triangle -
  • circumscribed about -
  • incenter of a triangle -
  • inscribed in -
  • median of a triangle -
  • centroid -
  • altitude -
  • orthocenter -