Big Ideas Geometry Chapter 8
January – February (3 weeks); 2nd Semester
Embedded Files
Chapter Title(s):
Similarity (Chapter 8)
Prepared Graduates:
MP2. Reason abstractly and quantitatively.
MP3. Construct viable arguments and critique the reasoning of others.
MP5. Use appropriate tools strategically.
MP6. Attend to precision.
MP7. Look for and make use of structure.
MP8. Look for and express regularity in repeated reasoning.
Standard(s):
4. Geometry
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-SRT.A. Similarity, Right Triangles, and Trigonometry: Understand similarity in terms of similarity transformations.
Given two figures, use the definition of similarity in terms of similarity transformations to decide if they are similar; explain using similarity transformations the meaning of similarity for triangles as the equality of all corresponding pairs of angles and the proportionality of all corresponding pairs of sides. (CCSS: HS.G-SRT.A.2)
Use the properties of similarity transformations to establish the AA criterion for two triangles to be similar. (CCSS: HS.G-SRT.A.3)
HS.G-SRT.B. Similarity, Right Triangles, and Trigonometry: Prove theorems involving similarity.
Prove theorems about triangles. Theorems include: a line parallel to one side of a triangle divides the other two proportionally, and conversely. (CCSS: HS.G-SRT.B.4)
Use similarity criteria for triangles to solve problems and to prove relationships in geometric figures. (CCSS: HS.G-SRT.B.5)
A star symbol (⭑) represents grade level expectations and evidence outcomes that make up a mathematical modeling standards category.
Additional Colorado Academic Standards Resources:
Please visit the complete 2020 Colorado Academic Standards for High School Mathematics to view the following:
Colorado Essential Skills and Mathematical Practices connections
Inquiry Questions
Coherence Connections
Prior Knowledge Connections:
Understanding similarity through transformations and dilations (Grade 8)
Academic Vocabulary & Language Expectations:
Assessments:
SAT Suite Educator Question Bank (Content Domain: Geometry and Trigonometry)
Instructional Resources & Notes:
Big Ideas Geometry Chapter 8
Additional Modeling Tasks
Scaling a Playground (References: Completing the Modeling Cycle, Advice on Modeling)
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:
Algebra Warm-Ups for Geometry Teachers (Geoff Krall)
SAT Suite Educator Question Bank (Content Domains: Algebra, Advanced Math)
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