MMSD Mathematics Content Standard for Number and Operations – Grade 8
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 eighth 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
-
generate and explain equivalencies and work flexibly among fractions, decimals, and percents;
-
compare and order fractions, decimals, percents, and integers efficiently and find their approximate locations on a number line;
-
use appropriate symbols for comparisons (=, >, <, ¹, £, ³, »);
-
develop meaning for percents including those greater than 100 and less than 1 (e.g., discounts, rate of increase or decrease, sales tax, etc.);
-
represent quantitative relationships with ratios and proportions (e.g., rates, scale drawings, similarity);
-
read and appropriately use expanded, including exponential, scientific *, exponential (excluding negative exponents), and calculator notations;
-
find factors (including greatest common factors), multiples (including least common multiples), prime factorization (including exponential representation) and relatively prime numbers and apply to solve contextualized problems.
Understand meanings of operations and how they relate to one another (WMAS B.8.2) to
-
perform and explain operations on rational numbers (add, subtract, multiply, divide, take opposites and reciprocals, determine absolute value, raise to a power, and extract a root);
-
use, explain, name and simplify computations with the associative and commutative properties of addition and multiplication and the distributive property of multiplication over addition (e.g., 4 x 7 ½ is 4 x 7 plus 4 x ½);
-
use, explain, and simplify computations with the inverse relationships of addition and subtraction, multiplication and division, and squaring and finding square roots.
Compute fluently and make reasonable estimates(WMAS B.8.5, B.8.7) when
-
selecting and applying appropriate methods and tools for computing with fractions, decimals, percents, and integers from among mental computation, estimation, calculators or computers, and paper and pencil;
-
applying the order of operations;
-
developing and using strategies to estimate the results of rational-number computations and judge the reasonableness of the results;
-
developing, analyzing, and explaining methods for solving problems involving proportions, such as scaling and finding equivalent ratios.
*May be addressed in Science
Introduction | Grade 6 | Grade 7 | Grade 8