- Topics
- G-CO Congruence
- G-SRT Similarity, Right Triangles, and Trigonometry
- G-C Circles
- G-GPE Expressing Geometric Properties with Equations
- G-GMD Geometric Measurement and Dimension
- G-MG Modeling with Geometry
- Learning Resources
Topics
G-CO Congruence
Learning objectives:
- Understand congruence in terms of rigid motions
- Prove geometric theorems
Students will experiment with transformations in the plane and will understand congruence in terms of rigid motions.
Students will prove theorems about lines and angles.
G-SRT Similarity, Right Triangles, and Trigonometry
Learning objectives:
- Understand similarity in terms of similarity transformations
- Define trigonometric ratios and solve problems involving right triangles
Students will understand the definition of similarity in terms of transformations and will prove theorems involving similarity.
Students will use trigonometric ratios and the Pythagorean Theorem to solve right triangles in applied problems.
G-C Circles
Learning objectives:
- Understand and apply theorems about circles
- Find arc lengths and areas of sectors of circles
Students will understand and apply theorems about circles, including relationships between angles, radii, and chords.
Students will translate between the geometric description and the equation for a conic section.
G-GPE Expressing Geometric Properties with Equations
Learning objectives:
- Translate between the geometric description and the equation for a conic section
- Use coordinates to prove simple geometric theorems algebraically
Students will derive the equations of ellipses and hyperbolas given the foci.
Students will prove simple geometric theorems algebraically using coordinates.
G-GMD Geometric Measurement and Dimension
Learning objectives:
- Explain volume formulas and use them to solve problems
- Visualize relationships between two-dimensional and three-dimensional objects
Students will understand the concept of volume and will know how to compute the volume of a cylinder, pyramid, and cone.
Students will visualize the relationship between two-dimensional and three-dimensional objects.
G-MG Modeling with Geometry
Learning objectives:
- Apply geometric concepts in modeling situations
Students will apply geometric concepts to solve design problems.
