1. Topics: Place Value: The value of a digit depends on its place, or position, in the number. (Through Billions) -Comparing two numbers based on their place value -Ordering numbers based on their place value Knowing how to use as well as the difference between: Standard Form: 128,000 Expanded Form: 100,000 + 20,000 + 8,000 AND (1 x 100,000) + (2 x 10,000) + (8 x 1,000) Word Form: one hundred twenty-eight thousand Completing comparisons to describe the relationship from one place value to the next pace value position. Ex.) 200 is 10 times as much as ……20,000 is of Using place value patterns to complete a table. Number10 x as much as1/10 of 101001 3,00030,000300

2. Patterns/Sequences: Sequence: list of numbers in a specific order Terms: numbers in the sequence ARITHMETIC SEQUENCE: If you can find the next term in the sequence by adding or subtracting the SAME number to the previous term. 4, 12, 20, 28, 36, _____ (+8) GEOMETRIC SEQUENCE: If you can find the next term in the sequence by multiplying or dividing the SAME number to the previous term. 3, 12, 48, 192, _____ (x4) Multiplication: Multi-Digit Multiplication Powers of Ten Determine the number of places to move the decimal point by counting the number of zeroes in the power of ten. Ex.) 19.7 x 10 1 = 197 19.7 x 10 2 = 1970 19.7 x 10 3 = 19700 Ex.) 19.7 x 1000 = 19700 (10 3 ) If multiplying by a power of ten LESS than one, count the number of places after the decimal point. Then move the decimal point that many places to the LEFT. Ex.) 23.9 x 0.1 = 2.39 23.9 x.01 =.239

3. Properties Commutative Property of Addition and Multiplication: (to commute) 2 + 3 = 3 + 2 2 x 3 = 3 x 2 Associative Property of Addition and Multiplication: (look for parenthesis) 2 + (3 + 4) = (2 + 3) + 42 x (3 x 4) = (2 x 3) x 4 Identity Property of Addition and Multiplication: (number keeps its identity) 2 + 0 = 2 2 x 1 = 2 Multiplicative Inverse Property: (any number multiplied by its inverse equals ONE) 2/7 x 7/2 = 1 6 x 1/6 = 1 Distributive Property: (look for multiplication and addition) 2 x (4 + 5) = (2 x 4) + (2 x 5)