Students will select and apply appropriate numerical representations and theory to solve problems in real world situations using a variety of mathematical and technological strategies.
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By the end of grade Four, students will:
Represent and explain whole numbers, decimals, and fractions with
Determine the number of things in a set by
Read, write, and order whole numbers, simple fractions (e.g., halves, fourths, tenths, unit fractions) and commonly-used decimals (monetary units)
Identify and represent equivalent fractions for halves, fourths, eighths, tenths, sixteenths
In problem-solving situations involving whole numbers, select and efficiently use appropriate computational procedures such as
Add and subtract fractions with like denominators
In problem-solving situations involving money, add and subtract decimals
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By the end of grade Eight, students will:
Read, represent, and interpret various rational numbers (whole numbers, integers, decimals, fractions, and percents) with verbal descriptions, geometric models, and mathematical notation (e.g., expanded, scientific, exponential)
Perform and explain operations on rational numbers (add, subtract, multiply, divide, raise to a power, extract a root, take opposites and reciprocals, determine absolute value)
Generate and explain equivalencies among fractions, decimals, and percents
Express order relationships among rational numbers using appropriate symbols (>, <, etc.)
Apply proportional thinking in a variety of problem situations that include, but are not limited to
Model and solve problems involving number-theory concepts such as
In problem-solving situations, select and use appropriate computational procedures with rational numbers such as
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The student will:
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The student will:
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The student will:
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By the end of grade Twelve, students will:
Use complex counting procedures such as union and intersection of sets and arrangements (permutations and combinations) to solve problems
Compare real numbers using
Perform and explain operations on real numbers (add, subtract, multiply, divide, raise to a power, extract a root, take opposites and reciprocals, determine absolute value)
In problem-solving situations involving the application of different number systems (natural, integers, rational, real) select and use appropriate
Create and critically evaluate numerical arguments presented in a variety of classroom and real-world situations (e.g., political, economic, scientific, social)
Routinely assess the acceptable limits of error when
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Last Updated: 12/20/01