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Common Core Algebra Unit 1: The Real Number System 9/15/16Lesson 3: Adding Real NumbersObjective: SWBAT classify numbers resulting from adding rational and irrational numbers.Do Now: Add the following pairs of rational numbers.Think… Pair… Share…:Consider the results from the do now. Are any of the results irrational numbers? How do you know?_________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________Group Exploration:a) With your group, identify which numbers are rational and irrational below. b) Based on the above information, conjecture which of the statements is ALWAYS true, which is SOMETIMES true, and which is NEVER true? Provide proof for your conjecture. (You may use your calculator)The sum of a rational number and a rational number is rational.The sum of a rational number and an irrational number is irrational.The sum of an irrational number and an irrational number is irrational.Check for Understanding:Remember: When adding radical expressions, the radicands must be the same in order to combine the terms.Partner Practice: Adding Irrational Numbers:Find the following sums.Adding Rational and Irrational Numbers:Find the following sums.Lesson Summary:The sum of two irrational numbers may result in an ______________ number or a _____________ number.The sum of a rational number and an irrational number will always be an __________________ number.Name _______________________________ Exit SlipCommon Core Algebra Unit 1: The Real Number System 9/15/16Lesson 3: Adding Real NumbersObjective: SWBAT classify numbers resulting from adding rational and irrational numbers.Name _______________________________ Exit SlipCommon Core Algebra Unit 1: The Real Number System 9/15/16Lesson 3: Adding Real NumbersObjective: SWBAT classify numbers resulting from adding rational and irrational numbers.Problem Set:Review your notes before completing #’s 2 and 3. Make sure you come up with an “original expression”. You may not use the expressions featured on today’s notes. 5. Ms. Fox asked her class "Is the sum of 4.2 and rational or irrational?" Patrick answered that the sum would be irrational. State whether Patrick is correct or incorrect. Justify your reasoning.6. Is the sum of and rational or irrational? Explain your answer.Challenge: Determine if the following statements are sometimes, always, or never true. Prove your conjecture by providing two different examples.The diagonal of a square is always irrational.The circumference of a circle is irrational ................
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