Geometry

The fundamental purpose of the Model Geometry course is to formalize and extend students' geometric experiences from the middle grades. This course is comprised of standards selected from the high school conceptual categories, which were written to encompass the scope of content and skills to be addressed throughout grades 9–12 rather than through any single course.

In this high school Model Geometry course, students explore more complex geometric situations and deepen their explanations of geometric relationships, presenting and hearing formal mathematical arguments. Important differences exist between this course and the historical approach taken in geometry classes. For example, transformations are emphasized in this course. Close attention should be paid to the introductory content for the Geometry conceptual category.

In Geometry, instructional time should focus on six critical areas:

  1. establish criteria for congruence of triangles based on rigid motions;
  2. establish criteria for similarity of triangles based on dilations and proportional reasoning; 
  3. informally develop explanations of circumference, area, and volume formulas;
  4. apply the Pythagorean Theorem to the coordinate plan;
  5. prove basic geometric theorems; and
  6. extend work with probability.

Standards for Mathematical Practice
The 2011 framework introduces Standards for Mathematical Practice. These standards complement the content standards so that students increasingly engage with the subject matter as they grow in mathematical maturity and expertise throughout the elementary, middle, and high school years. These standards are the same at all grades from Prekindergarten to 12th grade.

An explanation of how the standards can be highlighted in High School can be found here.

These eight practices can be clustered into the following categories as shown in the chart below:

Habits of Mind of a Productive Mathematical Thinker:
MP.1: Make sense of problems and persevere in solving them.
MP.6: Attend to precision.

Reasoning and Explaining
MP.2: Reason abstractly and quantitatively.
MP.3: Construct viable arguments and critique the reasoning of others

Modeling and Using Tools
MP.4: Model with mathematics.
MP.5: Use appropriate tools strategically.

Seeing Structure and Generalizing
MP.7: Look for and make use of structure.
MP.8: Look for and express regularity in repeated reasoning.

Website by SchoolMessenger Presence. © 2019 West Corporation. All rights reserved.