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  Educator's Resource Guide to the Alaska Standards: Curriculum Frameworks Project


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Starting Points

Standard A: Content of Math

Standard B: Problem Solving

Standard C: Communication

Standard D: Reasoning

Standard E: Connections

Math Content Standard A: Content of Math

Key Element 5. Geometry

A student who meets the content standard should construct, draw, measure, transform, compare, visualize, classify, and analyze the relationships among geometric figures.

Geometry for All

Geometric objects provide a foundation and a motivation for measurement, patterning skills, computation, estimation, graphical representation and spatial reasoning. Geometry provides a foundation for developing and testing logic. Children learn to recognize geometric shapes in the world, comparing contrasting attributes, quantifying those attributes and comparing the effect of transformations on those quantities. Transforming geometric attributes improves the ability to predict future shapes, locations, and projections. Students interpret terms and expressions as geometric graphs or three-dimensional images. This skill is crucial to the concrete representation and internalization of algebraic, trigonometric, and calculus concepts.

Big Ideas in Geometry

Spatial relationships
Geometric foundations of measurements
Representing, interpreting, and using tools of geometric modeling/graphing
Visualizing and predicting the effects of geometric transformations
Properties of geometric figures
Geometric inductive reasoning