ALEX Classroom Resources

ALEX Classroom Resources
Subject: Mathematics (9 - 12), Mathematics (9 - 12)
Title: Geometry Module 1, Topic C: Transformations/Rigid Motions
URL: https://www.engageny.org/resource/geometry-module-1-topic-c-overview
Description:

Module 1, Topic C, Transformations, builds on students’ intuitive understanding developed in Grade 8. With the help of manipulatives, students observed how reflections, translations, and rotations behave individually and in sequence (8.G.1, 8.G.2). In Grade 10, this experience is formalized by clear definitions (G.CO.4) and more in-depth exploration (G.CO.3, G.CO.5). The concrete establishment of rigid motions also allows proofs of facts formerly accepted to be true (G.CO.9). Similarly, students’ Grade 8 concept of congruence transitions from a hands-on understanding (8.G.2) to a precise, formally notated understanding of congruence (G.CO.6). With a solid understanding of how transformations form the basis of congruence, students next examine triangle congruence criteria. Part of this examination includes the use of rigid motions to prove how triangle congruence criteria such as SAS actually work (G.CO.7G.CO.8).

Subject: Mathematics (9 - 12), Mathematics (9 - 12)
Title: Geometry Module 1, Topic G: Axiomatic Systems
URL: https://www.engageny.org/resource/geometry-module-1-topic-g-overview
Description:

In Module 1, Topic G, students review material covered throughout the module. Additionally, students discuss the structure of geometry as an axiomatic system.

ALEX Classroom Resources: 2