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6th grade pacing 2012
6th grade pacing 2012

... 2.1a Write and evaluate numerical expressions involving whole-number exponents 2.1b Write, read, and evaluate expressions in which letters stand for numbers 2.1c Apply the properties of operations to generate equivalent expressions 1.2e Use the distributive property to express a sum of two whole num ...
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and add the carried-over amount. Anything to carry
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... Strings Over the Alphabet  A string is a sequence of symbols from  Let s and t be strings Then st denotes the concatenation of s and t i.e., the string obtained by the string s followed by the string t ...
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... of irrational numbers to compare the size of irrational numbers, locate them approximately on a number line diagram, and estimate the value of expressions (e.g., π2). Work with radicals and Extend the properties of integer exponents. exponents to rational exponents. Know and apply the Explain how th ...
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... Decimal system – has ten states (z=10), use for mathematic operations in common life, we are used to that and it’s suitable for us. But they are not suitable for numerical method. Binary system – Has two states (z=2), use for technical processing of the information using two numbers 0 and 1. Using ...
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... Joey is in the process of buying a new vehicle. He has narrowed his options down to 2 choices. Which vehicle gets better gas mileage (mpg) and by how much? 2.5 gallons of gas can go 48.5 miles ...
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Location arithmetic

Location arithmetic (Latin arithmeticæ localis) is the additive (non-positional) binary numeral systems, which John Napier explored as a computation technique in his treatise Rabdology (1617), both symbolically and on a chessboard-like grid.Napier's terminology, derived from using the positions of counters on the board to represent numbers, is potentially misleading in current vocabulary because the numbering system is non-positional.During Napier's time, most of the computations were made on boards with tally-marks or jetons. So, unlike it may be seen by modern reader, his goal was not to use moves of counters on a board to multiply, divide and find square roots, but rather to find a way to compute symbolically.However, when reproduced on the board, this new technique did not require mental trial-and-error computations nor complex carry memorization (unlike base 10 computations). He was so pleased by his discovery that he said in his preface ... it might be well described as more of a lark than a labor, for it carries out addition, subtraction, multiplication, division and the extraction of square roots purely by moving counters from place to place.
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