To gain access to our editable content for Parallel Lines and Transversals Join the Geometry Teacher Community! #Converse geometry calculator free#Here are your FREE Pythagorean Theorem Worksheet, Guided Notes, PowerPoint and More! PDFsĨ-1 Assignment Student Edition – The Pythagorean Theorem and Its Converse ( FREE )Ĩ-1 Assignment Teacher Edition – ( Members Only)Ĩ-1 Bell Work Student Edition – The Pythagorean Theorem and Its Converse ( FREE )Ĩ-1 Bell Work Teacher Edition – ( Members Only)Ĩ-1 Exit Quiz Student Edition – The Pythagorean Theorem and Its Converse ( FREE )Ĩ-1 Exit Quiz Teacher Edition – ( Members Only)Ĩ-1 Guide Notes Student Edition – The Pythagorean Theorem and Its Converse ( FREE )Ĩ-1 Guided Notes Teacher Edition – ( Members Only)Ĩ-1 Slide Show – The Pythagorean Theorem and Its Converse ( FREE )Ĩ-1 Online Activities ( Members Only) Word Docs & PowerPoints (You must be a member to gain access to these materials) For tips on teaching the Unit Circle: Click Here Pythagorean Theorem and its Converse Editable Materials Give them something memorable to recall so that when you teach them the Unit Circle they don’t have to memorize the whole thing because they lack these basic skills. This is one of the lessons in Geometry that has endless possibilities when it comes to creativity in the class room. Do you have to show a football related video? No! There are plenty of videos on this topic that relate to all kinds of topics from designing a house to a dirt bike ramp.The bottom line is be creative don’t lose the class before you even start the lesson. If they do not clearly understand the properties of right triangles and the Pythagorean Theorem they can’t even begin to learn trigonometry. Just think of the importance and impact of this lesson. Then the law of syllogism tells us that if we turn of the water (p) then we don't get wet (r) must be true.That will grab them and bring them into the discussion. If the water stops pouring (q) then we don't get wet any more (r). If we turn of the water (p), then the water will stop pouring (q). The law of syllogism tells us that if p → q and q → r then p → r is also true. This is called the law of detachment and is noted: This means that if p is true then q will also be true. If we call the first part p and the second part q then we know that p results in q. If we turn of the water in the shower, then the water will stop pouring. The most common patterns of reasoning are detachment and syllogism. If the conditional is true then the contrapositive is true.Ī pattern of reaoning is a true assumption if it always lead to a true conclusion. The contrapositive does always have the same truth value as the conditional. We could also negate a converse statement, this is called a contrapositive statement: if a population do not consist of 50% women then the population do not consist of 50% men. The inverse always has the same truth value as the converse. The inverse is not true juest because the conditional is true. If we negate both the hypothesis and the conclusion we get a inverse statement: if a population do not consist of 50% men then the population do not consist of 50% women. A conditional and its converse do not mean the same thing If both statements are true or if both statements are false then the converse is true. If we exchange the position of the hypothesis and the conclusion we get a converse statement: if a population consists of 50% women then 50% of the population must be men. Our conditional statement is: if a population consists of 50% men then 50% of the population must be women. If we re-arrange a conditional statement or change parts of it then we have what is called a related conditional. The example above would be false if it said "if you get good grades then you will not get into a good college". Hypotheses followed by a conclusion is called an If-then statement or a conditional statement.Ī conditional statement is false if hypothesis is true and the conclusion is false. The part after the "if": you get good grades - is called a hypotheses and the part after the "then" - you will get into a good college - is called a conclusion. If you get good grades then you will get into a good college. We will explain this by using an example. If we instead use facts, rules and definitions then it's called deductive reasoning. When we previously discussed inductive reasoning we based our reasoning on examples and on data from earlier events.
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