1. Identify and describe patterns by explaining its properties.

2.  Variable  Symbol, usually a letter, that represents one or more numbers. (ex: n, x )  Constant  Quantities whose values do not change. (ex: 2, 67)  Numerical Expression  Mathematical phrase that contains numbers and operation symbols. (ex: 3+5)  Algebraic Expression  Mathematical phrase that contains one or more variables. (ex: 3 n + 5)

3.  Look at the figures from left to right to determine which figure should come next.  Try this:

4.  Tables are an easy way to organize data to recognize a pattern.  Input/output  Ex: how many toothpicks in the 20th figure?

5.  The following graph shows tank sizes in relation to the combined lengths of the fish it can hold.  If you want five 2-in goldfish, four 1-in guppies, and a 3-in loach, what is the smallest capacity tank you can buy?  What is the combined length?  17 inches  Make a table using some points from the graph.  The tank should be at least 19 gallons.

6. Identify properties of real numbers by graphing and ordering.

7.  Numbers can be classified by their characteristics.  Some can be represented on the number line.

9.  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.

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

11. Sets of Numbers 456783

12. 45678 Irrational numbers cannot be written in as a quotient of two integers. Decimals are non-terminating Ex: 0.1010010001…, 3.141592… 3

13. #1#2 integer, rational What kind of number is 42? What kind of number is -5? natural, whole, integer, rational

14. #3 What kind of number is - 4.5669? rational

15.  Rational numbers and irrational numbers form the set of real numbers.  Subsets of real numbers:  Natural  Whole  Integer  Rational  Irrational

16. 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 >

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

18. #5 -7 10 < #6 -5 + 10 10 - 5 =

19.  Odds p. 7 #13, 15, 23  p.15 #23-27, 35-39