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Logic

Classical Argument

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Outline for a Classical Argument Outline for a Rogerian Argument Introduction Capture the audience?s attention. Urge the audience to consider the case you will present. Statement of Background Narrate or explain the key events in your case. Provide information so that your audience will understand. Proposition State the position you are taking and indicate the direction your argument will proceed. Proof This is the heart of the argument. Discuss the reasons for your position and cite evidence for support. Refutation Anticipate and refute opposing views. This strengthens your argument and demonstrates your thorough knowledge of the issue. Conclusion Summarize your most important points. Make a final appeal for a change in attitude or a call to action.

Help with DBQs

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APUSH Writing the Document-Based Question (DBQ) The APUSH exam format includes one document-based question. Students will have 55 minutes to answer it. Guidelines Long-essay writing skills. The initial mystery of answering a DBQ largely disappears if you remember that it builds on the skills for writing the long-essay question, including the skills of developing a background statement (B), thesis that ?takes a position (TAP)? and has a ?roadmap (R)?; argumentation supported with relevant historical evidence; use of targeted historical thinking skills; contextualization, and synthesis. The basic difference between the long-essay question and a DBQ is that in the DBQ students must analyze and use documents in your supporting arguments.

Geometry Theorems and Postulates

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MATH NOTES PART ONE Geometry- A metric system of measuring the earth Four parts of a mathematics system- undefined terms, defined terms, postulates, theorems Defined terms- postulates, theorems Undefined terms- a point (use capitals), a line (name it with capitals, or name it line l), a plane (adds a new dimension) Zero-dimension- the dimension of a point One-dimension- the dimension of a line Two-dimensional- the dimension of a plane Collinear- when two points are on the same line Non-collinear- when two points are NOT on the same line Non-coplanar- if the point can never be in the plane Postulates- statements accepted without proof Theorem- statements that can be proven with postulates Segment- is part of a line that has two endpoints

Inference Tests

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GIVEN INFORMATION CONDITIONS H0 TEST STATISTIC CONFIDENCE INTERVAL 1- Proportion Z-Test assume SRS 10n < population H0: Use instead of for conditions 2- Proportion Z-Test assume SRS independent samples 10n1 < population 10n2 < population H0: Use , instead of pc for conditions GIVEN INFORMATION CONDITIONS H0 TEST STATISTIC Goodness of Fit Test Observed counts assume SRS all expected counts >1 no more than 20% of expected counts < 5 SHOW EXPECTED COUNTS H0: The sample distribution is the same as the population distribution df = (# proportions ? 1) Test of Independence 2-way table same conditions as GOF Expected Counts = H0: The two variables are independent or

Conditional Statements

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Conditional Statements Conditional Statement: (p(q): If you like to sprint, then you are on the Track & Field team. Converse: (q(p): If you are on the Track & Field team, then you like to sprint. Inverse (~p(~q): If you do not like to sprint, then you are not on the Track & Field team. Contrapositive (~q(~p): If you are not on the Track & Field team, then you do not like to sprint. Biconditional (p(q): If you like to sprint, if and only if you are on the Track & Field team. The biconditional statement is false. It is false because the conditional statement is false. A person could like to sprint, but that does not mean that they are on the Track & Field team.
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