Elementary Mathematics

We all made digital posters as an introduction to our class.

Make sense of problems and persevere in solving them. Reason abstractly and quantitatively.Construct viable arguments and critique the reasoning of others. Model with mathematics.Use appropriate tools strategically.Attend to precision. Look for and make use of structure. Look for and express regularity in repeated reasoning.

What is "subtraction"?Removing/Taking away an amount.The difference between two numbers. Vocabulary:Minuend- The part you start with. Subtrahend- The part being taken away.Difference- The result of subtraction. Closure Property of Subtraction:3-2 = 1Associative Property of Subtraction:(7-3)-2 = 7-(3-2)Identity Property of Subtraction:3-0 = 0

What is Multiplication?Duplicates of things. Same size group of things. Vocabulary:Factor- Numbers being multiplied.Products- The result of multiplication. Closure Property of Multiplication:3 x 2 = 6Commutative Property of Multiplication:2 x 3 = 3 x 2Associative Property of Multiplication:(2 x 3)4 = 2(3 x 4)Identity Property of Multiplication:1 x 2 = 2 = 2 x 1

Even Number: A number, when divided by two, has no remainder.Odd Number: A number, when divided by two, has a remainder of one.

Prime Number: a whole number greater than 1 that cannot be exactly divided by any whole number other than itself and 1.

The least common multiple (LCM): the smallest number that two or more numbers can divide into evenly.

Steps:Make sure that the bottom numbers (denominators) are the same. If they are not, change them so that they are the same (common denominator).Once the denominators are common, add the top numbers (numerators) and place the sum over the common denominator.If possible, simplify the fraction.

Digits- 0,1,2,3,4,5,6,7,8,9Numeral- Written system for the digets.Number- An arithmetical value expressed by a word, symbol, or figure. Numeration System- A collection of properties and symbols agreed upon to represent number systematically (EX: Roman Numerals, Hindu-Arabic System)

What is "addition"/"adding"? Combining two or more thingsThe sum of two numbers put togetherVocabulary:Addend- Two numbers being addedSum- the result of additionClosure Property of Addition: 5+3 = 8Whole number+whole number=unique new numberCommutative Property of Addition:3+5 = 5+3Associative Property of Addition: (3+4)+5 = 3+(4+5)

What is division? Break up a big group into smaller groups.How many times a number fits into a number.Vocabulary:Dividend- the amount that you have that is being divided. Divisor- How what you have is being divided. Quotient- The result of division. Missing Factor Model: a/b = cb x c = aIf C is a unique number. Identity Property:6/1 = 6 1 x 6 = 6Zero Property of Division:6/0 = undefined 0/0 = undefined

Even Number: a number wen divided by 2 has no remainder.

Odd Number: a number wen divided by 2 has a remainder of 1.

Composite Number: a whole number greater than 1 that can be exactly divided by any whole number other than itself and 1.

Integer: a number that is not a fraction; a whole number.

Steps:1. Multiply the top numbers (the numerators).2. Multiply the bottom numbers (the denominators).3. Simplify the fraction if possible.