Mathematics and Science

Denver Public Schools

Geometry Instructional Planning Guide

Discovering Geometry, DPS' geometry program, helps students internalize geometric properties and test their reasoning with physical models, which improves learning in many ways:

  • The developmental focus guides all students to a high level of understanding with many opportunities to support students whose progress is slower and challenge more advanced students.
  • The program bolsters students' understanding and retention of theorems, definitions, and properties as they perform constructions, measure figures, relate patterns and properties, and discuss their findings.
  • Algebra review exercises are integrated with geometry when applicable to reinforce students' skills.
  • The Developing Proof strand build students' reasoning and proof skills by using exercises and group activities.
  • Investigations, visual representations, and discussion opportunities integrate multiple teaching modes so visual, auditory, and kinesthetic learners all benefit.
  • Real-world applications, puzzles, and extensions motivate students.
  • By focusing on critical problem-solving skills, students become self-motivated, independent thinkers.

For more information about Geometry, visit the Discovering Geometry Web site.

Adapted from the Discovering Geometry page,
"Discovering Geometry: An Investigative Approach"

The geometry instructional planning guides were created through a collaboration of educational professionals from all aspects of mathematics curriculum development and delivery. Given the mobility rate of students, all planning guides 1) provide consistent instruction across the district and 2) set target dates that guide teachers in providing key mathematical experiences at each grade level. All instructional planning guides are in Acrobat PDF format, unless otherwise noted.

The instructional planning guide includes: