1. 1-3 REAL NUMBERS AND THE NUMBER LINE I Can: - classify, graph, and compare real numbers. - find and estimate square roots.

2. VOCABULARY TO KNOW  Square Root  A number a is a square root of a number b if a 2 = b  Example: 7 2 = 49, so 7 is the square root of 49.

3. SQUARE ROOT  You can use the definition of square root to find the exact square roots of some nonnegative numbers.  The radical symbol indicates a nonnegative square root, that is also called the principal square root.

4. VOCABULARY TO KNOW  Radicand  The expression under the radical symbol is called the radicand.  x is the radicand in this case

5. VOCABULARY TO KNOW  Radical  Together, the radical symbol and radicand form a radical.

6. SIMPLIFYING SQUARE ROOT EXPRESSIONS

7. VOCABULARY TO KNOW  Perfect Square  The square of an integer  For this class, you are required to memorize all perfect squares from 1-144.  Copy this list and study it. 1 2 = 17 2 = 49 2 2 = 48 2 = 64 3 2 = 99 2 = 81 4 2 = 1610 2 = 100 5 2 = 2511 2 = 121 6 2 = 3612 2 = 144

8. ESTIMATING A SQUARE ROOT  Lobster eyes are made of tiny square regions. Under a microscope, the surface of the eye looks like graph paper. A scientist measured the area of one of the squares to be 386 square microns. What is the approximate side length of the square of the nearest micron?

9. TYPES OF NUMBERS  Numbers can be classified by their characteristics.  Some can be represented on the number line.

10. SETS  Numbers are classified using sets.  Set - a well-defined collection of objects.  Each object is an element of the set.  Subset - consists of elements from the given set.

11. Sets of Numbers 0 natural numbers {1,2,3,…} 0 whole numbers {0,1,2,3,…} 0 Integers {…,-2,-1,0,1,2,…}

12. Sets of Numbers 456783

13. 45678 Irrational numbers cannot be written in as a quotient of two integers. Decimals are non-terminating Ex: 0.1010010001…, 3.141592… 3

14. #1#2 integer, rational What kind of number is 42? What kind of number is -5? natural, whole, integer, rational

15. #3 What kind of number is -4.5669? rational

16. #4 Give an example of a whole number that isn’t positive.

17. REAL NUMBERS  Rational numbers and irrational numbers form the set of real numbers.  Subsets of real numbers:  Natural  Whole  Integer  Rational  Irrational

18. Inequalities An inequality is a mathematical sentence comparing the values of two expressions using an inequality symbol. 012345678-8-7-6-5-4-3-2-9 8-6 >

19. Inequalities 012345678-8-7-6-5-4-3-2-9 -77 <

20. #5 -7 10 < #6 -5 + 10 10 - 5 =

21. ASSIGNMENT  ODDS ONLY  P.20 #19-31, 41-47, 53-55, 63