MMSD Mathematics Content Standard for Number and Operations – Grade 6
Introduction | Grade 6 | Grade 7 | Grade 8
Achievement of the following grade-level standards supports achievement of Wisconsin Model Academic Standards.
By the end of sixth grade, students will...
Use verbal descriptions, geometric models, and mathematical notations (WMAS B.8.1, B.8.3, B.8.4, B.8.5, B.8.6) to
- represent remainders from division problems using whole numbers, decimals, and fractions;
- generate and explain equivalencies among fractions, decimals, and percents emphasizing benchmarks of halves, thirds, fourths, and tenths;
- compare and order fractions, decimals, percents efficiently and find their approximate locations on a number line;
- use appropriate symbols for comparisons (=, >, <) and (¹, £, ³, »);
- develop meaning for percents up to and including 100 including discounts, rate of increase or decrease, sales tax;
- read and appropriately use expanded notations;
- find factors including greatest common factors, multiples including least common multiples, prime factorization including exponential representation and relatively prime numbers.
Understand meanings of operations and how they relate to one another (WMAS B.8.2) to
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perform and explain operations (add, subtract, multiply, divide) on fractional and decimal numbers;
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use, explain (but not necessarily name), and simplify computations with the associative and commutative properties of addition and multiplication with fractional and decimal numbers;
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use, explain, and simplify computations with the inverse relationships of addition and subtraction, multiplication and division.
Compute fluently and make reasonable estimates (WMAS B.8.5, B.8.7) when
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using efficient student generated or standard algorithms for multiplying and dividing with whole numbers;
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selecting and applying appropriate methods and tools with rational numbers (i.e., mental computation, estimation, calculators or computers, and paper and pencil);
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applying the order of operations;
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developing and using strategies to estimate the results of rational-number computations, and judge the reasonableness of the results.
Introduction | Grade 6 | Grade 7 | Grade 8