Progression of Geometry

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Presentation transcript:

Progression of Geometry

Progression of Geometry Elementary School Middle School High School Discovery and exploration of figure characteristics Properties and connections of geometric figures Compose and decompose figures Formulas for lengths, areas, and volumes of figures Understanding spatial reasoning Grade 5: Analyze and classify two dimensional figures. Grade 6 Draw polygons on coordinate plane Find distance between two points Grade 7 Construct similar figures Manipulate figures (enlargements, reductions) Grade 8 Rigid transformations of figures on coordinate plane Analyze relationships. Prove congruence and similarity through transformations. Use and prove theorems through rigid transformations.

Elementary School (K-4) Discovery and exploration of figures Properties and connections of geometric figures Compose and decompose figures Formulas for lengths, areas, and volumes of figures Graphing of non-negative points Understanding spatial reasoning. Kindergarten – Discovery and exploration of figures 4th Grade – Classify shapes by side length.

Middle School 6th Grade – Using decomposition to find area of a shape. 7th Grade – Construct similar figures. Grade 5: Analyze and classify two dimensional figures. Grade 6 Draw polygons on coordinate plane Find distance between two points Grade 7 Construct similar figures Manipulate figures (enlargements, reductions) Grade 8 Rigid transformations of figures on coordinate plane 8th Grade – Rigid Transformations

High School Analyze relationships. Prove congruence and similarity through transformations. Use and prove theorems through rigid transformations.