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Vocabulary:Place Value: the value of a given digit depending on its place in a number
Digit: the symbols used to communicate numbers (0,1,2,3,4,5,6,7,8,9) Period: the name of each group of three digits (thousands period, millions period, etc) Expanded Form: a way to write numbers that shows the place value of each digit (789 would be 700+80+9) Standard Form: the standard way to write numbers that has one digit per place value (ie 789) Word Form: to write numbers out in letter form (ie seven hundred eighty-nine) Greater Than: the first number is more than the other (7>2) Less Than: the first number is less than the other (2<7) Equal To: both sides have equal value (ie 4+6=10)
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Vocabulary:Commutative Property of Addition: the property that states that the order of the addends
doesn't change the sum (ie 3+4=4+3) Associative Property of Addition: the property that states that the grouping of the addends doesn't change the sum (ie (2+3)+7=(3+7)+2) Identity Property of Addition: the property that states that adding 0 does not change the value of the number (7+0=7) 0 Rule of Subtraction: shows the relationship of 0 in subtraction (ie 8-0=8 and 8-8=0) Addend: the numbers being added (ie 8+2=10) Sum: the answer to an addition problem (ie 8+2=10) Minuend: the first number of a subtraction sentence (ie 8-2=6) Subtrahend: the second number in a subtraction sentence (ie 8-2=6) Difference: the answer to a subtraction problem (ie 8-2=6) Unknown: the part of an equation that isn't known, and is represented by a box Variable: the part of an equation that isn't known, and is represented by a symbol (ie 7+b=10) Click here for a link to an optional reviewObjectives:
Vocabulary:Commutative Property of Multiplication: states that the order of the factors does not change the product. For example, 4x6=6x4.
Associative Property of Multiplication: states that the grouping of the factors does not change the product. For example, (3x4)x6=(4x6)x3). Identity Property of Multiplication: states that multiplying by one does not change the value of the factor. For example, 7x1=7. 0 Property of Multiplication: states that multiplying by 0 results in 0. For example, 8x0=0. 1s in Division: shows how 1 affects division. For example, 4÷1=4 or 4÷4=1. 0s in Division: shows how 0 affects division. For example, 0÷4=0 or 4÷0=undefined (because you cannot put something into 0 groups). Repeated Subtraction: a method of division where you subtract the same number over and over again until you reach 0. Factors: a number that can evenly divide another OR the two parts of a multiplication problem. For example, 4 is a factor of 12 OR 3x4=12. Multiples: any number times another For example, multiples of 3 are 0,3,6,9,12, etc. Product: the answer to a multiplication problem. Dividend: a number to be divided. For example in 65÷5=13 the dividend is 65. Divisor: the number another number is being divided by. For example in 65÷5=13 the divisor is 5. Quotient: the answer to a division problem. For example in 65÷5=13 the quotient is 13. Decompose: to break a number into smaller parts. For example, 44 decomposed could be 11x4. Fact Family: a group of related facts. For example: 2x3=6 3x2=6 6÷3=2 6÷2=3 Click here for a link to an optional reviewObjectives:
Vocabulary:Regroup:
The process of making a group of ten when computing sums or products. For example, in adding 12 and 19 I would need to regroup my 11 ones into 1 ten and 1 one. Distributive Property: 8x34=(8x30)+(8x4) Partial Products: A multiplication method in which the product of each place value are found separately, and then added together. For example: 835x3=(800+30+5)x3 800x3=2,400 30x3=90 5x3=15 2,400+90+15=2,505 Click here for a link to an optional reviewObjectives:
Vocabulary:Operation: a mathematical process such as addition, subtraction, multiplication, or division. Methods of 2x2 Multiplication:Partial Product: a way to multiply numbers by finding the products of each place value separately and then adding them together.
Example: 34x23 would become 34x20 + 34x3= Lattice Method Distributive Property Area Model Traditional or Standard Method Click here for a link to an optional reviewObjectives:
Vocabulary:Divisor: The amount a dividend is to be divided by Dividend: A number to be divided. Quotient: The answer to a division problem. Compatible Numbers: Numbers that are factors/multiples of each other, allowing them to be divided evenly without remainders. For example, 36 and 6 or 27 and 3. Remainder: A part that is "left over" after a dividing process that cannot be evenly distributed into the divisor's amount of groups. Concepts:Divide by multiples of 10:
3600 divided by 6=600 (36 divided by 6 = 6 and add two zeros for place value) Estimating Quotients: Look for compatible numbers (numbers that evenly divide into one another) 1,702 divided by 6. 18 is close to 17 and can be divided by 6, so I will round up to 1,800. 1,800 divided by 6 is 300. Divide with and Interpret Remainders: Alex has 40 CDs he needs to box up. Each box holds 6 CDs, how many boxes will he need? 40 divided by 6 is 6 remainder 4, so he will need 7 boxes (6 full boxes, and one box of 4 CDs) Division Methods: Long Division Partial Quotient Multi-step word problems: These problems require more than one operation to solve, for example: Rocky Road Gravel Company has 2,346 pounds of gravel A, and 1,986 pounds of gravel B. If they mix both together and then divide the mixture into three cement vats, how many pounds will be in each? 1) add 2,346 and 1,986 together (4,332) 2) divide 4,332 by 3 3) 1,444 pounds of gravel in each cement vat Click here for a link to an optional reviewObjectives:
Vocabulary:Numeric Pattern: A pattern with numbers. Example: 2,4,6,8,10 or 1,3,2,6,5,15,14 Non-numeric Pattern : A pattern without numbers. Example: Rule: A statement that describes the relationship between numbers or objects. For example: 4,8,12 would have the rule add 4.
Sequence: The ordered arrangement of terms that make up a pattern. Example: 3,5,7,9,11. Term: Each number in a numeric pattern. Input: A quantity that is changed to produce an output. Example: a+7=b a is the input Output: The quantity that changes in response to the input. Example: a+7=b b is the output Click here for a link to an optional reviewObjectives:
VocabularyFactor Pairs: the two factors multiplied to equal a product (3,4 in 3x4=12)
Composite: a number with more than 2 unique factors Prime: a number with exactly 2 unique factors Neither: a number with 1 factor (1) Numerator: the top number of a fraction, it tells how many parts out of the whole there is Denominator: the bottom number of a fraction, it tells how many parts the whole is divided into Equivalent Fractions: fractions that use different digits to express the same value. Simplest Form: a fraction where the numerator and denominator have no common factors (other than 1). GCF: the greatest common factor between a set of numbers. LCM: least common multiple, the smallest multiple a set of numbers have in common. Benchmark Fractions: an often used and familiar fraction used to guide one in determining the size of an unfamiliar fraction. Examples would be 1/4, 1/2, and 1/3. Mixed Number: a fraction containing a whole number and a fraction part such as 3 3/4. Unit Fraction: a fraction with a 1 for the numerator that is used to decompose fractions. For example, 3/8 could decompose into 1/8 +1/8+1/8=3/8. Improper Fraction: a fraction where the numerator is larger than or equal to the denominator. Click here for optional review linkObjectives:
Vocabulary:Like Fractions: fractions that have the same denominator Sum of Unit a Fraction: Multiple of a Unit Fraction:
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