Geometry A
Course Description
Explore the dynamic world of geometry, where you'll dive into geometric transformations, proofs, and coordinate mastery. Discover how to reshape figures with precision through rotations, reflections, and translations, while mastering the art of constructing proofs and validating geometric conjectures. Uncover the secrets of triangles, understanding congruence and similarity through logical reasoning and innovative problem-solving techniques. Navigate the Cartesian plane with confidence, decoding geometric puzzles and revealing hidden relationships between shapes and lines using coordinates and algebraic techniques. Engage in interactive activities and collaborative projects, and embrace constructive feedback as a pathway to refining your skills and mastering geometry with confidence.
Transformations and Constructions
Learn this: I will learn how to change the shapes of figures and describe how I did it.
Engage with: I will engage in learning by interacting with the material. Below are optional ways I can do that. Or I can come up with my own teacher-approved ideas:
Demonstrate an understanding of the formal definitions of rotations, reflections, and translations.
Use mathematical models to solve real-world problems and communicate the results to an appropriate audience.
Apply problem-solving skills to analyze and prove statements involving angles and distances.
Grow from: I will respond to teacher feedback.
Reasoning and Proof Through Congruence
Learn this: I will learn how triangles can be similar and what makes them similar. I will use this understanding to solve problems and apply it to right triangles.
Engage with: I will engage in learning by interacting with the material. Below are optional ways I can do that. Or I can come up with my own teacher-approved ideas:
Use different parts of triangles to show that they are the same shape and size.
Use what you know about lines, angles, triangles, and parallelograms to prove things are true.
Use what you know about shapes being the same to solve problems involving different figures.
Use logical thinking to show that two figures are the same shape and size by moving them in a specific way.
Draw and explain how we move figures to show they are the same shape and size.
Grow from: I will respond to teacher feedback.
Reasoning and Proof Through Similarity
Learn this: I will learn how to show that triangles are the same shape and size by using different types of movements.
Engage with: I will engage in learning by interacting with the material. Below are optional ways I can do that. Or I can come up with my own teacher-approved ideas:
Correctly apply the angle-angle or side-angle-side to see if two triangles are the same shape.
Accurately use bigger or smaller sizes and specific movements to prove that two triangles are the same shape, and use technology to show what you did.
Use what we know about different shapes like diamonds, squares, and rectangles to solve problems about their angles, sides, and corners.
Grow from: I will respond to teacher feedback.
Coordinate Geometry
Learn this: I will learn how to use a coordinate system to check if different shapes and lines have certain relationships with each other.
Engage with: I will engage in learning by interacting with the material. Below are optional ways I can do that. Or I can come up with my own teacher-approved ideas:
Use the coordinate plane to analyze geometric figures
Use the equations and graphs of circles to solve problems
Prove geometric theorems using algebra and the coordinate plane
Use the equations and graphs of parabolas to solve problems
Grow from: I will respond to teacher feedback.