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Geometry MAPs

Page history last edited by stettlerj@... 5 years, 6 months ago

Throughout their Pk-12 education experience, mathematically literate students will:

Develop a Deep and Flexible Conceptual Understanding   
Study the relationships between congruent shapes and similar shapes, both two-dimensional and three-dimensional.  This will help them develop better understanding of the world around them as well as how and when to apply the mathematical processes they have learned.
Develop Accurate and Appropriate Procedural Fluency   
Learn efficient procedures and algorithms for computations and repeated processes based upon the concepts of congruency and similarity.  Students develop efficient and effective measuring strategies. They will also develop effective methods of analyzing transformations. During this stage, students will also maintain their algebra skills.
Develop Strategies for Problem Solving   
Explore and develop strategies for solving problems by making geometric constructions, looking for symmetry, and looking for patterns.  Students will improve upon their strategies of guess check and improve, using equipment, making tables, and thinking.
Develop Mathematical Reasoning   
Look for patterns, make conjectures and test them, and then make generalizations.  Students will learn how to use inductive reasoning to make conjectures.  They will learn how to formalize an argument in order to prove or disprove statements.  They will develop their skills in defending their decisions using logical arguments and deductive reasoning.
Develop a Productive Mathematical Disposition   
Continue to build upon the idea that mathematics is a useful and efficient means to describe the world around them. They will become persistent problem solvers, trying several different strategies to arrive at useful and understandable solutions to the problems they face.  They will look forward to working on challenging problems using constructions, logical arguments, modeling, and other strategies to solve problems. 

Develop the Ability to Make Conjectures, Model, and Generalize 

 
Learn about the world through observation.  When they observe patterns, then they can make predictions about what will happen when something is changed in the environment. Geometry provides abundant practice in observation and pattern identification.  Through the use of interactive software, students practice their observational skills and learn to make conjectures about the relationships in Geometric constructions.  They may then test their conjectures to determine what rules are in effect.  They will develop the ability to model their findings and make generalizations about what they have observed.
Develop the Ability to Communicate Mathematically   
Develop their communication abilities to become more precise, more sophisticated, and include accurate descriptions and terminology as they progress through their studies in Geometry.  They will become more adept at drawing diagrams that are appropriate to the problems at hand. Students will become more proficient at explaining their ideas  succinctly using a variety of methods.

Introduction to the OKMath Framework

Geometry Introduction

Geometry MAPs

Geometry Learning Progression

Geometry Objective Analysis

 

 

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