Basic Geometry

1
Basic Geometry

• A learning of basic geometrical properties and
  identities as they apply to general mathematics
  and the real world

2
Objectives

• Understand, describe, and apply the concepts of
  symmetry, similarity, and congruence.
• Explore properties of geometric figures using
  coordinate representation
• Use inductive and deductive reasoning to discover
  and verify properties of figures.
• Classify figures in terms of congruence and
  similarity and apply these relationships

3
More Objectives

• Investigate, explore, and describe the geometry
  in nature and real-world applications using
  models, manipulatives, and appropriate technology
• The students will learn to work in groups to
  solve mathematical problems

4
Concepts

• Basic understanding of Area, perimeter, and
  angle formulae
• Understanding, uses, and applications of the
  Cartesian Plane
• Shape similarity and congruence definitions and
  their application to squares, triangles, etc

5
Teaching Techniques

• Use of Jigsaw II format for group learning inside
  and outside of classroom (Robert Slavin)
• After school study group for students
• Lunch group for students who perform poorly
• Conscious attempt to avoid gender biasing in
  classroom

6
Application

• At beginning of class each day students will
  complete review worksheet
• Homework each day is a worksheet centered on the
  lesson learned each day
• During class students must use concepts learned
  in class to complete problems on the chalk/white
  board (still in groups)

7
Activity

• Students will complete a poster project
• First students must use concepts learned in class
  to solve real world geometrical problems
• Students will create a poster showing the real
  world problems they solved using concepts from
  class
• Students will affix basic properties where
  applicable in their real life solutions
• Students will present their poster to the class

8
Evaluation

• Students will be marked on their improvement from
  the beginning homework sheets to the final sheets
• Students will be graded on their poster projects
• Use of geometrical identities
• Computational accuracy
• Applicability of concepts to real life situations
  chosen

9
Plan for One week course
10
Classroom Setup

• Desk order and shape
• Allocation of student seating
• Basis in Jigsaw II
• Relationship with first worksheet
• Effort and evaluation