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Agenda Call Roll Introduce Class policies & procedures –Syllabus, textbook form, Student Handbook Info sheets Notes Icebreaker Assign HW
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The Essential 55 by Ron Clark Rule 1: When responding to any adult, you should answer by saying “Yes ma’am” or “No sir.”
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Notes 1.1 Addition and Subtraction
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Reals Rationals (fractions, decimals) Integers (…, -1, -2, 0, 1, 2, …) Whole (0, 1, 2, …) Natural (1, 2, …) Irrationals (no fractions) pi, e The Real Number System
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Rational vs. Irrational Rational numbers CAN be expressed as a fraction. Irrational numbers CANNOT be expressed as a fraction. -2.5 -2.569234567… -9.212121… Decimals that end or repeat
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The number line -5-4-3-2012345 -2.5
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1) 3.12112111211112… 2) 8.974974974… 3) 4.325 Irrational Rational or Irrational? Rational Irrational4)
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You Try … Rational or Irrational? 5) 6) 7).47646464.. 8) 9) 2.573407656631…. Irrational Rational Irrational Rational
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Absolute Value Distance from zero on a number line. -5-4-3-2012345 = 5 = 2
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Signs are alike, ADD 10) -5 + (-9) = Addition 11) 6 + 20 = -14 26
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Signs are different, SUBTRACT 12) 23 + (-11) = keep the sign of the larger number Subtraction 13) -12 + 7 = 12 -5
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14) 5 – (- 4) 15) 8 – (- 9) 16) 23.7 – 5.9 17) -12 + (-16) = 5 + 4 = 9 = 8 + 9 = 17 =17.8 = -28 You Try …
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Adding and Subtracting Fractions 18) 19) 20)
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If signs are the same, POSITIVE. 1) 5 (10) = Multiplication 2) -6 ( -9) = 50 54
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If signs are different, NEGATIVE 3) 6(-7) = Multiplication 4) -4(5) = -42 -20
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Multiplying Fractions Multiply across 5) 6) 7)
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Addition: a + b = b + a Multiplication: a b = b a Addition: a + (b + c) = (a + b) + c Multiplication:a (b c) = (a b) c Commutative Properties Associative Properties
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5.) Use the commutative property of addition to write an expression equivalent to 3x + 4y 6.) Use the associative property of multiplication. to write an expression equivalent to 3x(7y 9z)
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Addition: a + 0 = a Multiplication: a 1 = a Identity Properties 0 is the additive identity 1 is the multiplicative identity
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= The identity property allows us to take an expression and multiply it by 1. This is 1. These two expressions are equivalent.
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7.) Write an expression equivalent to by simplifying.
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Reciprocal = 1
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Division If signs are alike, POSITIVE. 10 5 = 8) 9) 2
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If signs are different, NEGATIVE Division -10 5 = 10) 11) -2
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Dividing Fractions Multiply by the reciprocal 12) 13) 14)
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Zero
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Homework Get syllabus signed Get book covered!!!!! Get notebook together Homework: 7-9/ 15-54 mult. of 3, 55-58 all
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