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Drill #13

Drill #13. Evaluate each expression: 1. 2. Write an algebraic expression for the verbal expression below then simplify the expression: 3. Six times the sum of a and 2b increased by twice the sum of 3a and b. 1-7 LOGICAL REASONING and COUNTEREXAMPLES.

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Drill #13

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  1. Drill #13 Evaluate each expression: 1. 2. Write an algebraic expression for the verbal expression below then simplify the expression: 3. Six times the sum of a and 2b increased by twice the sum of 3a and b

  2. 1-7 LOGICAL REASONING and COUNTEREXAMPLES Objective: Students should be able to identify the hypothesis and conclusion in a conditional statement and use a counterexample to show that assertion is false.

  3. Conditional statement:If A then BIf the popcorn burns, then the heat was too high .

  4. (34.) Conditional Statement, (35.) Hypothesis, (36.) Conclusion **Definition:Conditional Statements: theseare mathematical statements that can be written in the form If A, then B. Hypothesis: this is part of the statement immediately following if. Conclusion: this is part of the statement immediately following then.

  5. If it is Friday, then Ofelia and Miguel are going to the movies. If it is warm this afternoon, then we will have the party outside. If 4x + 3 > 27 , then x > 6. Examples*: Identify the hypothesis and conclusion of each statement.

  6. Classwork 1-7 Skills Practice #1-3

  7. 1.Mary works at the bakery every Saturday.2.Ivan only runs early in the morning.3.A polygon that has five sides is a pentagon.4.When Joseph has a fever, he stays home from school.

  8. Identify the hypothesis & conclusion then write each statement in if-then form:1.I will go to the ball game with you on Saturday.Hypothesis: it is SaturdayConclusion: I will go to the ball game with you.

  9. Ex.#2. For a number x such that 6x – 8 = 16, x = 4.Hypothesis: 6 x – 8 =16Conclusion: x = 4

  10. Classwork 1-7 Skills Practice #4-6

  11. (37.) Deductive Reasoning** The process of using facts, rules, definitions or properties to reach a valid conclusion. Deductive Reasoning Example*: “If two numbers are odd then their sum is even.” • The numbers are 7 and 3. • The sum of two numbers is 14. Does a valid conclusion follow? Explain…use a counterexample to justify.

  12. Classwork 1-7 Skills Practice #7-14 (EVEN)

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