Big Ideas Geometry Chapter 7
January (3 weeks); 2nd Semester
Big Ideas Geometry Chapter 7
January (3 weeks); 2nd Semester
Chapter Title(s):
Quadrilaterals and Other Polygons (Chapter 7)
Prepared Graduates:
MP2. Reason abstractly and quantitatively.
MP3. Construct viable arguments and critique the reasoning of others.
MP6. Attend to precision.
MP7. Look for and make use of structure.
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-CO.C. Congruence: Prove geometric theorems.
Prove theorems about parallelograms. Theorems include: opposite sides are congruent, opposite angles are congruent, the diagonals of a parallelogram bisect each other, and conversely, rectangles are parallelograms with congruent diagonals. (CCSS: HS.G-CO.C.11)
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. For example, prove or disprove that a figure defined by four given points in the coordinate plane is a rectangle. (CCSS: HS.G-GPE.B.4)
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:
Classify two-dimensional figures (quadrilaterals) in a hierarchy based on properties (Grade 5)
Academic Vocabulary & Language Expectations:
Diagonal, equilateral polygon, equiangular polygon, regular polygon, parallelogram, rhombus, rectangle, square
Assessments:
SAT Suite Educator Question Bank (Content Domain: Geometry and Trigonometry)
Instructional Resources & Notes:
Big Ideas Geometry Chapter 7 (Lesson 7.5)
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)
Honors Geometry:
Honors Geometry students can extend their learning beyond the Colorado Academic Standards with the following concepts and lessons:
Lesson 7.5: Properties of Trapezoids and Kites