**UNIT 1****Standards:**

**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*

*Students will have a 4-function calculator available on PARCC assessments.

**Vocabulary:**

**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

**Big Ideas:**

Determine greatest common factor of two whole numbers. Rewrite the sum of two whole numbers using the distributive property. Divide multi-digit numbers using the standard algorithm. Evaluate numerical expressions involving whole number exponents.

**Essential Questions:**

1. How can I check a division problem?

2. What is a factor?

3. What are a common factor and the greatest common factor (GCF)?