UNIT 4: TRANSFORMATION, REASONING, AND PROOFS

• Transformation (translation, reflection, rotation, and dilation)

• Proving in quadrilaterals (flowchart)

In math, transformation, reasoning, and proofs are like the building blocks for figuring things out. Transformation is about how things change, like shapes or equations. Reasoning is how mathematicians use logic to understand these changes and solve problems. Proofs are like the final step - they're the strong evidence that shows something is true. When these three things work together, they support each other and make math clearer. In my experience with math, I've seen how they all fit together, helping me solve tricky problems and understand new ideas. They're not just tools for solving equations; they also help me see how beautiful and orderly math can be. So, through transformation, reasoning, and proofs, math isn't just about numbers - it's a way to explore the amazing patterns and order in the world. They have helped me understand more about the properties of each shape - especially how each trait combine within each other to create a property of a shape. This unit will help me get a better understanding base of shapes so that I can furthermore use this knowledge within the future years of my education.