Chapter 1 Notes Math Key Words Operation Key Words Examples Addition Add Total Increase Sum Plus More 4+5 Subtraction Minus Decrease Loss Less Difference Take Away Fewer Subtract 5-4 Multiplication Multiply Times Product Double Triple 3x4 3•4 3n Division Divide Split Equally Quotient Per 10 ÷ 2 3*4 3(4) 10/2 10 2 Order of Operations ➗ ➗ PEMDAS 3 + (13 - 3) 5 Parentheses, Exponents, 3 + 10 5 Multiplication & Division, Addition 3 + 2 & Subtraction 5 Chapter 1-1 Notes Vocabulary Definition Example Combination Any of the ways we can Choices for Item 1 x Choices for combine things, when Item 2 = Total Combinations the order does not matter Factor A number that divides another number with no remainders Product The answer to a multiplication problem Table Information arranged in rows and columns Tree Diagram A structure used to calculate the number of possible outcomes Chapter 1-2 Notes Vocabulary Definition Example Comparison A way of showing whether one n x smaller number = quantity is greater than, less than larger number or equal to another quantity. 1 n x larger number = smaller number Chapter 1-3 Notes Vocabulary Definition Area The amount of surface measured in square units Array An arrangement of equal columns and equal rows Equal Groups Groups that have the same number of objects AREA VS ARRAY Example Chapter 1-4 Notes Vocabulary Definition Factor REVIEW Product REVIEW Example Chapter 1-5 Notes Vocabulary Definition Example Function Relationship between two sets of numbers There are 60 seconds in 1 minute Variable A symbol (usually a letter) that stands for one or more unknown numbers. x+3=6 x is the variable Chapter 1-6 Notes Vocabulary Definition Example Equation A statement that two expressions 1 + 1 = 2 are equal 6+2=4+4 Parentheses ( ) Symbols used to group numbers or variables Parentheses also tell which operation to perform first 4 • (2 + 5) Chapter 1-7 Notes Vocabulary Definition Combination REVIEW Comparison REVIEW Misleading Language Language in comparing sentences that may cause you to do the wrong thing Example John’s age is 3 more than Jessica. If John is 12, how old is Jessica? Chapter 1-8 Notes Vocabulary Definition Example A relationship in which two items 6 + 2 = 4 + 4 Proportional 1 minute = 60 seconds Relationships are equal Chapter 1-9 Notes Vocabulary Definition Example Comparison Chain Following the order of operations and rewriting the equation to solve 3 + (13 - 3) 5 3 + 10 5 3 + 2 5 Algebraic Chain Combining like terms and rewriting the problem to solve for the variable ➗ ➗ a + 3a = 36 4a = 36 a=9 Chapter 1-10 Notes Vocabulary Definition Example Commutative Property Adding or Multiplying numbers 7 + 1 2 = 12 + 7 in any order to get the same 7 • 1 2 = 12 • 7 answer Associative Property Changing the parentheses with (4 + 7) + 3 = 4 + (7 + 3) addition or multiplication gets (4 • 7) • 3 = 4 • (7 • 3) the same answer Distributive Property Multiply the outside number with all inside numbers 3(2 + 7) = 3 • 2 + 3 • 7 5(7 - 2) = 5 • 7 - 5 • 2 Identity Property Adding by 0 or Multiplying by 1 5 + 0 = 5 Expression do not change the value of a number 5 • 1 = 5 A math sentence with a minimum of two numbers and 3+1 5•7-1•2 at least one math operation Equation a statement that the values of 6 + 2 = 4 + 4 two mathematical expressions 6 + 2 = 8 are equal Example An example that proves a statement true Counterexample An example that proves a statement false