Discussion for Reasoning and Proof Discussion
You have learned about the following topics:
writing conditional statements
understanding the parts of conditional statements
writing converses, inverses, and contrapositives of conditional statements
writing biconditional statements
recognizing good definitions
understanding and using properties of congruence and equality
writing two-column proofs
Reflect on each of these topics and answer two of the following questions:
Which topic in this unit do you feel the most confident about and why?
Which topic in this unit has been the most challenging for you and why?
When might you use conditional statements in your everyday life?
Post in the discussion with answers to these questions. Next, view posts from your classmates and respond to two of them. Do you feel confident about the same topic as your classmates? Why does this topic make sense to you? Do you share the same challenge as your classmates? If so, what can you do to overcome that challenge? Do you understand the examples your classmates provided of using conditional statements in everyday life? Do their examples apply to your life too?
I feel the most confident about understanding and using properties of congruence and equality. I have practice in identifying congruent triangles and using the properties of equality to solve algebraic equations. These concepts are clear to me and I feel comfortable applying them in various proofs or problem-solving situations.
The most challenging topic for me in this unit has been writing two-column proofs. I struggle with organizing my thoughts and steps in a logical manner. It can be difficult for me to clearly explain the reasoning behind each step and justify why it follows from the previous step. I often find myself getting stuck or feeling unsure if my proof is correct. To improve in this area, I plan to practice more proofs and seek clarification from my teacher or classmates when needed.
Conditional statements can be used in everyday life in various situations. One example is when making plans with friends. If I tell my friend, "If it is not raining tomorrow, we can go for a picnic," I am using a conditional statement. The condition (if it is not raining) determines the possibility of going for a picnic. This helps in making decisions and anticipating future events based on certain conditions. Another example is when following a recipe. If a recipe says, "If the oven is preheated to 350 degrees, then bake the cookies for 10 minutes," I am using a conditional statement to ensure the cookies are baked properly.