6.NS.B.4 Find the greatest common factors of two whole numbers less than or equal to 100 and the least common multiple of two whole numbers less than or equal to 12. Use the distributive property to express a sum of two whole numbers 1 – 100 with a common factor as a multiple of a sum of two whole numbers with no common factor.
6.NS.B.2 Fluently divide multi-digit numbers using the standard algorithm
6.EE.A.1 Write and evaluate numerical expressions involving whole number exponents*
6.NS.B.2 Fluently divide multi-digit numbers using the standard algorithm
6.EE.A.1 Write and evaluate numerical expressions involving whole number exponents*
- algorithm: a set of steps used to solve a mathematical computation such as long division
- common factor: a factor that two or more numbers have in common
- factor: as a verb, to break down into the terms that multiply to make the quantity to be factored
- factors: numbers that divide without remainders into the number such as 2 and 3 are factors of 6
- multiples: the result of multiplying a number by an integer such as 15 is a multiple of 3, as 3 x 5 =15
- divide: to split into equal parts or groups
- quotient: the number obtained by dividing one quantity by another
- dividend: the number to be divided
- divisor: the number that divides the dividend in a division problem
- greatest common factor (GCF): the largest factor that two or more numbers have in common
- least common multiple (LCM): the smallest multiple that two or more numbers have in common
- prime factorization: determining which prime numbers multiply together to make the original number
- distributive property: the property that states that multiplying a sum by a number is the same as multiplying each addend by the number and then adding the products. The distributive property is a x (b + c) = (a x b) + (a x c).
- numerical expression: expressions using all numbers such as 34 x 82
- exponent: in 42 , 2 is the exponent; the number that dictates how many times the base multiplies by itself; 42 = 4 x 4
- base: in 42 , 4 is the base; the number multiplied by itself
- exponential notation: written in the form of Bx
- evaluate: solve
- order of operations: a collection of rules that say which calculation comes first in an expression
UNIT 2
6.NS.B.3 Fluently add, subtract, multiply, and divide multi-digit decimals using the standard algorithm for each operation
6.NS.A.1 Interpret and compute quotients of fractions and solve word problems involving division of fractions by fractions, by using visual fraction models and equations to represent the problem.
6.NS.A.1 Interpret and compute quotients of fractions and solve word problems involving division of fractions by fractions, by using visual fraction models and equations to represent the problem.
- sum: the result of adding two or more numbers
- product: the result of multiplying two numbers
- quotient: the number obtained by dividing one quantity by another
- decimal: a number that uses a decimal point, showing a value smaller than 1
- difference: the result of subtracting two numbers
- numerator: the top number of a fraction. In the fraction 3/8, 3 is the numerator that tells how many of 8 parts.
- denominator: the bottom number of a fraction that shows how many equal parts the whole is divided into
- fraction: a mathematical expression representing the division of one whole number by another. Also used to represent part of a whole number or ratio between two numbers.
- simplest form: a fraction is in simplest form when the top and bottom number cannot be any smaller (while remaining whole numbers)
- multiplicative inverse: another name for reciprocal. When you multiply a number by its "multiplicative inverse," you get 1. Example 6 x (1/6) = 1.
- algorithm: a set of steps used to solve a mathematical computation such as long division
- mixed number: a whole number plus a fraction
- proper fraction: a fraction that is less than one, with the numerator less than the denominator
- improper fraction: a fraction in which the numerator is greater than the denominator. For example 5/4.
- like and unlike denominators: refers to having the same number in the denominator (like denominators) or different numbers in the denominator (unlike denominators)