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Geometry MAPs

Page history last edited by Brigit Minden 11 months ago

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

Develop a Deep and Flexible Conceptual Understanding   
Students will analyze the relationships between congruent shapes and similar shapes, both two-dimensional and three-dimensional. Using these relationships will allow students to develop a broader understanding of the world around them and to be able to appropriately apply mathematical processes to specific situations.
Develop Accurate and Appropriate Procedural Fluency   
Students will learn and apply procedures and algorithms useful in their study of congruency and similarity. Students will develop methods to analyze transformations in the coordinate plane which will include applying their previously learned algebraic skills and knowledge.
Develop Strategies for Problem Solving   
Students will develop appropriate problem solving techniques by identifying patterns, justifying reasoning when modeling solutions, and demonstrating their solutions using multiple representations including the use of proofs in various forms.
Develop Mathematical Reasoning   
Students will look for patterns, make and test conjectures, and construct logical arguments based on evidence using both inductive and deductive reasoning and counterexamples to form conclusions.
Develop a Productive Mathematical Disposition   
Students will build upon the idea that mathematics is a useful and efficient means to describe the world. Students will appreciate the various approaches to solving problems, and will be persistent in varying their problem solving methods to fit the task at hand.

Develop the Ability to Make Conjectures, Model, and Generalize 

 
Students will observe the world around them and discover patterns. Using those patterns, they can make conjectures about what could happen when the environment changes. Geometry provides abundant practice in observation and pattern identification. Using geometric concepts such as congruency and similarity, students can practice making and testing conjectures, modeling their findings, and generalizing results.
Develop the Ability to Communicate Mathematically   
Students will develop their communication abilities to become more precise, more sophisticated, and provide accurate descriptions. Students will use appropriate geometric 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

2016 Geometry Objective Analysis

2022 Geometry Objective Analysis (coming soon)

 

 

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