Identify and describe patterns by explaining its properties.
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)
Look at the figures from left to right to determine which figure should come next. Try this:
Tables are an easy way to organize data to recognize a pattern. Input/output Ex: how many toothpicks in the 20th figure?
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.
Identify properties of real numbers by graphing and ordering.
Numbers can be classified by their characteristics. Some can be represented on the number line.
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.
Sets of Numbers 0 natural numbers {1,2,3,…} 0 whole numbers {0,1,2,3,…} 0 Integers {…,-2,-1,0,1,2,…}
Sets of Numbers
45678 Irrational numbers cannot be written in as a quotient of two integers. Decimals are non-terminating Ex: …, … 3
#1#2 integer, rational What kind of number is 42? What kind of number is -5? natural, whole, integer, rational
#3 What kind of number is ? rational
Rational numbers and irrational numbers form the set of real numbers. Subsets of real numbers: Natural Whole Integer Rational Irrational
Inequalities An inequality is a mathematical sentence comparing the values of two expressions using an inequality symbol >
Inequalities <
# < # =
Odds p. 7 #13, 15, 23 p.15 #23-27, 35-39