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· demonstrates knowledge of exponents by changing from exponential form to standard form and vice versa
· converts a number expressed in one form to its equivalent in another form (e.g., from standard to scientific form and vice versa). · selects appropriate operations for a given set of rational numbers that will produce a specific value (e.g., given 3, 4, 6, 7, insert operations to get the smallest/largest or a given value). Identifies and uses various grouping symbols (e.g., parenthesis, brackets, fraction bar, slash). · selects appropriate operations for a given set of rational numbers that will produce a specific value (e.g., given 3, 4, 6, 7, insert operations to get the smallest/largest or a given value). Demonstrates an understanding of translating between word phrases and algebraic expressions in real-world situations and vice versa. · evaluates algebraic expressions by substituting rational values.· uses order of operations to solve expressions with rational numbers. · demonstrates an understanding of equations. · solves one- and two-step equations, using manipulatives and algorithms, applying algebraic properties (commutative, associative, distributive, inverse identity). · solves an equation, consisting of variables when given 1 variable, in a real-world setting. · predicts and justifies values for unknown variable in one- and two-step equations.· uses order of operations to solve expressions with rational numbers. · formulates and verifies equivalent expressions, using algebraic properties.· determines general rule for a given pattern involving multiple operations, having a minimum of two variables · calculates the next term in a pattern involving multiple operations. · applies patterns of 2-dimensional and 3-dimensional figures to produce specified iterations (include Sierpinski’s Triangle). · generalizes expressions, including multiple operations, for finding the nth term or any specified term demonstrates an understanding of scientific notation for numbers greater than one · extrapolates from the pattern of positive exponents the effect of negative exponents in scientific notation for numbers less than one.· demonstrates an understanding of integers, using all four operations.· demonstrates an understanding of absolute value. · explains how to determine absolute value of x when x is positive, negative, or zero. · evaluates absolute value of expressions (e.g., --2+ 7).· demonstrates knowledge of inequality symbols, including vocabulary· demonstrates a knowledge of ordered pairs in all four quadrants.· demonstrates an understanding of integers, using all four operations.· explains how a composite number can be expressed as a product of primes, using divisibility rules.· solves real-world problems, using concepts of GCF and LCM.· represents rational numbers in equivalent forms, when appropriate, in real- world situations. · demonstrates an understanding of decimals, fractions/mixed numbers, and percents in real world situations (ratio and proportion). · differentiates between the effects of operations with whole numbers and rational numbers (decimals, fractions/mixed numbers, percents.) .)
Math Benchmarks
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