3. Student Learning Map

  • Topic:5) Geometric Relationships
  • Subject(s):Math
  • Days:20
  • Grade(s):10, 11, 12
Key Learning:

Geometric figures and their relationships can be represented numerically, and with models.

Unit Essential Question(s):
 
 

How does an object's geometric shape determine its classification?

   
Concept:

Lines

Pearson: 7.1 and 8.4

Glencoe: 5.1 and 5.4

Concept:

Angles

Pearson: 8.1 through 8.4

Glencoe: 5.2

Concept:

Triangles

Pearson: 7.1, 9.1, 9.2

Glencoe: 5.5

Lesson Essential Question(s):

What are the properties of lines? (A)
Lesson Essential Question(s):

What are the types and relationships of angles?

(A)
Lesson Essential Question(s):

How do I use properties of triangles to classify them?

(A)
Concept:

Similarity

Pearson: 10.2 and 11.3

Glencoe: 6.4

Concept:

Quadrilaterals

Pearson: 9.2 through 9.6

Glencoe: 5.7

Concept:

Polygons

Pearson: 11.1, 11.2

Glencoe: 5.5, 6.4, and 6.5

Lesson Essential Question(s):

How can similarity be applied to triangles?

(A)

How can similarity be applied to other polygons?

(A)
Lesson Essential Question(s):

What are the different types of quadrilaterals and their properties?

(A)
Lesson Essential Question(s):

What are the types of polygons and their properties?

(A)
Additional Information:

Liberal Arts Math: A Bridge from Algebra to Geometry (Pearson/Prentice Hall) Chapters 8, 9, 10, and 11

Integrated Math Course 1 (Glencoe) Chapters 5 and 6

Pasco Math Performance Tasks (PMPT): Distance to Dinner, No Wet Feet, The House, Big John

Prentice-Hall Geometry and Algebra I test generator

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:

Vocabulary Report

  • segment -
  • ratio -
  • square -
  • acute triangle -
  • pentagon -
  • angles: acute -
  • obtuse triangle -
  • hexagon -
  • rectangle -
  • parallel -
  • proportion -
  • obtuse -
  • right triangle -
  • parallelogram -
  • right -
  • octagon -
  • perpendicular -
  • scale factor -
  • scalene triangle -
  • similar figures -
  • congruent -
  • trapezoid -
  • adjacent -
  • regular polygon -
  • isosceles triangle -
  • skew -
  • interior angles -
  • vertex -
  • rhombus -
  • Angle-Angle (AA) Similarity Postulate -
  • kite -
  • exterior angles -
  • complementary -
  • equiangular triangle -
  • transversal -
  • supplementary -
  • intersecting -
  • equilateral triangle -
  • ray -
  • vertical -
  • leg -
  • base -
  • line -
  • corresponding -
  • alternate interior -
  • plane -
  • alternate exterior -
  • point -
  • interior -
  • hypotenuse -
  • remote exterior -
  • linear pair -
  • straight angle -
  • reflex angle -