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