Lesson 12-1 Flow Chart Proofs Answer Key

What are Flow Chart Proofs?

Flow chart proofs are a type of mathematical proof used to show the logical flow of a theorem or problem. It involves creating a graphical representation of the steps taken to arrive at a solution. The flow chart is a visual aid that helps to organize the various logical steps involved in solving the problem. It is a powerful tool that helps students to understand complex mathematical concepts and to develop problem-solving skills.

How to Create a Flow Chart Proof?

The first step in creating a flow chart proof is to identify the theorem or problem that needs to be solved. Once the problem is identified, the next step is to break it down into smaller steps. Each of these steps should be represented by a box in the flow chart. The boxes should be connected by arrows to show the logical flow of the steps. The flow chart should start with the problem statement and end with the solution. The flow chart should be clear and easy to follow, with each step labeled and explained.

Advantages of Flow Chart Proofs

Flow chart proofs have several advantages over other types of mathematical proofs. One of the main advantages is that they are easy to follow and understand. They provide a clear visual representation of the logical steps involved in solving a problem, making it easier for students to grasp complex mathematical concepts. Flow chart proofs also encourage students to think logically and systematically, helping them to develop problem-solving skills that are useful in many areas of life.

Examples of Flow Chart Proofs

Here are some examples of flow chart proofs:

Example 1: Prove that the sum of two even numbers is always even.

Example 2: Prove that the product of two odd numbers is always odd.

Example 3: Prove that the square of an even number is always even.