K-8 Mathematics

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Divisbility rules

Prime and Composite Numbers Definitions:

Prime numbers: Have exactly two whole divisors, 1 and themselves. Composite numbers: Any whole number greater than 1 that has other whole number factors other than 1 and itself. Prime factorization: is a factorization containing only prime numbers

Greatest Common Divisor/Factor and Least Common Multiple:

The GCD/GCF of two whole numbers a and b, not both 0, is the greatest whole number that divides both a and b.

Factor Tree

Integer Chips

Charge Field

Multiplication/Division Strategies

Missing factors

Repeated Subtraction

Repeated Subtraction Models: 24 - 8= 16; 16 - 8 = 8; 8 - 8 = 0. (subtracted, three 8’s) 24/8 = 3

Remainders

Bases

Converting bases

Add and Subtract Bases

Divide Bases

Multiply bases

Base 10

Properties of Multiplication

Closure property of multiplication of whole numbers: a and b, a X b is a unique whole number Cumulative Property: a and b, a X b = b X a Associative Property: (a X b) X c= a X ( b X c) Identity Property: aka multiplicative identity. There is a unique whole number 1. Multiplication Property of 0 Distributive property of multiplication over addition Distributive Property of multiplication over subtraction Properties of exponents

Integers

Negative numbers

0

Whole Numbers

Addition/Subtraction Strategies

Definition of Subtraction of Whole Numbers: a is the minuend and b is the subtrahend a is always greater or equal to b, a - b is the unique whole number c such that b + c = a

Base-ten Blocks to Develop the Standard Algorithm Partial Sums Algorithm Lattice Method Column Addition Algorithm Opposite-Change Algorithm Number Line Scratch Algorithm Mental Computations

Number Line

GCF and LCM