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Basic Geometry

Basic Geometry. A learning of basic geometrical properties and identities as they apply to general mathematics and the real world. Objectives. Understand, describe, and apply the concepts of symmetry, similarity, and congruence.

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Basic Geometry

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  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

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