Understanding Real Numbers: Rational vs. Irrational

1. Tuesday, 20190813 Essential Questions • EQ1: How can we use rational and irrational numbers in calculations? Agenda Bridge Math • Store your phones • Find your seat • EQ1 Rational & Irrational Numbers • Bellwork: Rational and Irrational numbers • Notes • Practice Real Number Operations • WW#1 EXAM 20190923 • Benchmark1 20190930 • NO VISA • No Calculator • Exit Ticket • Remain in seat until bell rings. Teacher Dismisses NOT the bell. • Quote of the day: “Knowledge has never been known to enter the head via an open mouth” –Doug Larson

2. Bellwork: Tuesday, 20190813 Rational Rational Irrational Rational Irrational

3. Notes: Review Real Numbers Definition of Natural Numbers: Natural numbers are 1, 2, 3, 4, 5, 6… Definition of Whole Numbers: Whole numbers are 0, 1, 2, 3, 4, 5, 6… Definition of Integers: A positive or negative number that can be written without fractions or decimal components. …-5, -4, -3, -2, -1, 0, 1, 2, 3, 4, 5, …

4. Real Numbers Rational and Irrational

5. Real Number Sets Rational Numbers: Integers + fractions (ratios) {…,-3, -2.57,-2, -1 ¼ ,-1, 0, 2/3, 1, 1.3, 2, 5/2, 3, 4, …} Integers: Whole numbers + negative numbers {…,-3,-2,-1, 0, 1, 2, 3, 4, …} Whole Numbers: Natural numbers + zero {0, 1, 2, 3, 4, …} Natural Numbers {1, 2, 3, 4, …}

7. Practice Real Number Operations • Please take out a full sheet of paper. • Label your paper with name, date, and class period. • Please write out the questions and answers on your paper. • Note: Use the bottom of this paper for the EXIT ticket.

8. Compare, Use <, >, or =. 1) -32 □ 32 2) 26 □ |-26| 3) -8 □ -12 4) Graph the numbers -2, 3, -4, 5. and -1 on a number line. Then list the numbers in order from least to greatest. 5) The coldest temperature ever recorded east of the Mississippi is fifty-four degrees below zero in Danbury, Wisconsin, on January 24, 1922. Write the temperature as an integer. IntegerLesson Quiz

9. Find the sum or difference 1) -7 + (-6) = 2) -15 + 24 + (-9) = Evaluate x + y for x = -2 and y = -15 3) 3 – 9 = 4) -3 – (-5) = 5) Evaluate x – y + z for x = -4, y = 5, and z = -10 Find the product or quotient 1) -8 · 12 = 2) -3 · 5 · (-2) = 3) -75 ÷ 5 = 4) -110 ÷ (-2) = 5) The temperature in Bar Harbor, Maine, was -3 F. During the night, it dropped to be four times as cold. What was the temperature then? Integer Operations Lesson Quiz

10. Examples: Write each rational number as a fraction: Rational Number Lesson Quiz • 0.3 • 0.007 • -5.9 • 0.45

11. Exit Ticket Rational and Irrational Numbers • Describe the difference between rational and irrational numbers. You may use examples to help support your answer.

12. The End