The highlighted evidence outcomes are the priority for all students, serving as the essential concepts and skills. It is recommended that the remaining evidence outcomes listed be addressed as time allows, representing the full breadth of the curriculum.

Students Can (Evidence Outcomes):

HS.G-CO.B. Congruence: Understand congruence in terms of rigid motions.

• Use the definition of congruence in terms of rigid motions to show that two triangles are congruent if and only if corresponding pairs of sides and corresponding pairs of angles are congruent. (CCSS: HS.G-CO.B.7)

• Explain how the criteria for triangle congruence (ASA, SAS, and SSS) follow from the definition of congruence in terms of rigid motions. (CCSS: HS.G-CO.B.8)

HS.G-CO.C. Congruence: Prove geometric theorems.

• Prove theorems about triangles. Theorems include: measures of interior angles of a triangle sum to 180°; base angles of isosceles triangles are congruent; the segment joining midpoints of two sides of a triangle is parallel to the third side and half the length; the medians of a triangle meet at a point. (CCSS: HS.G-CO.C.10)

HS.G-SRT.B. Similarity, Right Triangles, and Trigonometry: Prove theorems involving similarity. 

• Use congruence criteria for triangles to solve problems and to prove relationships in geometric figures. (CCSS: HS.G-SRT.B.5)

HS.G-C.A. Circles: Understand and apply theorems about circles. 

• Construct the inscribed and circumscribed circles of a triangle. (CCSS: HS.G-C.A.3)

HS.G-GPE.B. Expressing Geometric Properties with Equations: Use coordinates to prove simple geometric theorems algebraically.

• Use coordinates to prove simple geometric theorems algebraically. (CCSS: HS.G-GPE.B.4)

A star symbol (⭑) represents grade level expectations and evidence outcomes that make up a mathematical modeling standards category.

Assessments:

• Chapter 5 Assessment (PDF), Chapter 6 Assessment (PDF)

• SAT Suite Educator Question Bank (Content Domain: Geometry and Trigonometry)

• Additional Assessment Tasks

Instructional Resources & Notes:

• Big Ideas Geometry Chapters 5-6 (skip Lessons 6.4, 6.6)

• Supplemental Lesson Resources: Chapter 5, Chapter 6

• Additional Modeling Tasks

  • Calling All Islanders (References: Completing the Modeling Cycle, Advice on Modeling)

• Notes: 

  • Students do not need to construct points of concurrency (circumcenter, incenter, centroid, orthocenter) independently or know their properties; these constructions can be limited to in-class activities.

  • Lesson 6.4 (The Triangle Midsegment Theorem) is optional and can be reserved for Honors Geometry classes only.

  • In Lesson 6.5 (Indirect Proof and Inequalities in One Triangle), focus on the "Triangle Longer Side Theorem" and "Triangle Larger Angle Theorem" only.

Algebra 1 Review:

In addition to the Review & Refresh exercises included with each Big Ideas Geometry lesson, the following resources can be used for curating frequent, ongoing mixed review exercise sets of key Algebra 1 concepts and skills. These resources focus on linear equations, linear functions, systems of equations & inequalities, exponential functions, quadratic functions, and quadratic equations:

• Big Ideas Algebra 1 Additional Practice

• Using Your Algebra Skills Lessons

• Algebra Warm-Ups for Geometry Teachers (Geoff Krall)

• SAT Suite Educator Question Bank (Content Domains: Algebra, Advanced Math)