Adaptive Perseverance: Challenges in understanding and applying rigid motion transformations to prove congruence or in creatively designing objects will require persistence. Students will learn to explore multiple approaches to find solutions, demonstrating adaptability and resilience.
Learner’s Mindset: This unit encourages a deep curiosity about geometric principles and their application in various fields. Students will be motivated to seek out new learning opportunities, whether in understanding complex concepts of congruence or in applying these concepts in innovative ways.
Communication: Explaining the process and reasoning behind using rigid motion transformations to prove congruence or to animate/design objects requires clear and effective communication. Students will practice articulating their thoughts and ideas through presentations, written reports, or digital media projects.
Responsibility: Working on projects that apply geometric concepts in real-world contexts, students learn to take responsibility for their learning and outcomes. This includes ensuring accuracy in their mathematical reasoning and considering the ethical implications of their designs.
Global Citizenship: By exploring applications of congruence and transformations in engineering, art, and problem-solving, students will understand the global relevance of mathematics. They will see how these concepts can foster innovation and address challenges in society.
Critical Thinking: Analyzing and applying rigid motion transformations to prove congruence or to create animations involves deep thinking and problem-solving. Students will evaluate information, consider different perspectives, and develop reasoned arguments.
Collaboration: Many of the projects and activities envisioned for this unit will benefit from teamwork. Students will learn to value diverse perspectives, communicate effectively, and work together to achieve common goals.
When mathematics say two objects are "the same", what do they mean?
Students will be able to…
Describe how a figure moves to get from one position to another
Know the difference between translations, reflections, and rotations
Perform a translation, reflection, and rotation
Apply transformations given coordinates
Decide whether two figures are congruent
Describe the effects of transformations on side lengths and angles
Use angle relationships to solve problems
Apply the Triangle Sum Theorem
8.G.A - Understand congruence
8.G.A.1 - Verify the properties of rotations, reflections, and translations
8.G.A.2 - Understand that rigid motions maintain congruence
8.G.A.3 - Describe the effect of transformations on 2D figures using coordinates
8.G.A.5 - Establish facts about angle relationships
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