Grade 5 Mathematics Power Standards                                                     3/30/07

 

·                     M(N&O) -5-1 Demonstrates conceptual understanding of rational numbers with respect to: whole numbers from 0 to 9,999,999 through equivalency, composition, decomposition, or place value using models, explanations, or other representations; and positive fractional numbers (proper, mixed number , and improper) (halves, fourths, eighths, thirds, sixths, twelfths, fifths, or powers of ten (10, 100, 1000), decimals (to thousandths), or benchmark percents (10%, 25%, 50%, 75%, or 100%) as part to whole relationship in area, set, or linear models using models, explanations, or other representations.

 

·                     M(N&)) -5-2     Demonstrates understanding of the relative magnitude of numbers by ordering, comparing, or identifying equivalent positive fractional numbers, decimals, or benchmark percents within number formats (fractions to fractions, decimals to decimals, or percents to percents); or integers in context using models or number lines.

 

·                     M(N&O)-5-3    Demonstrates conceptual understanding of mathematical operations by adding and subtracting decimals and positive proper fractions with unlike denominators.

 

·                     M(N&O)-5-4   Accurately solve problems involving multiple operations on whole numbers or the  use of the properties of factors, multiples, prime, or composite numbers; and addition or subtraction of fractions(proper) and decimals to the hundredths place. (Division of whole numbers by up to a two-digit divisor.) IMPORTANT: Applies the conventions of order of operations with and without parentheses.)

 

·                     M(G&M)-5-1   Use properties or attributes of angles (right, acute, or obtuse) or sides (number of congruent sides, parallelism, or perpendicularity) to identify, describe, classify, or distinguish among different types of triangles (right, acute, obtuse, equiangular, or equilateral) or quadrilaterals (rectangles, squares, rhombi, trapezoids, or parallelograms).

 

·                     M(G&M)-5-7   Measures and uses units of measures appropriately and consistently, and makes

      conversions within systems when solving problems across the content strands.

      (Appendix B for Benchmarks)

 

·                              M(F&A)-5-3   Demonstrate conceptual understanding of algebraic expressions by using letter to represent unknown quantities to write linear algebraic expressions involving any two of the four operations; or by evaluating linear algebraic expressions using whole numbers.

        

·                              M(F&A)-5-4   Demonstrates conceptual understanding of equality by showing equivalence between two expressions using models or different representations of the expressions (expressions consistent with the parameters of M(F&A-5-3) by solving one-step linear equations…where a, b, and c are whole numbers and a is not equal to 0; or by determining which values of a replacement set make the equation….) 

 

·                               M(DSP)-5-1    Interpret a given representation (tables, bar graphs, circle graphs, or line graphs) to answer questions related to the data, to analyze the data to formulate or justify conclusions, to make predictions, or to solve problems. IMPORTANT: Analyzes data consistent with concepts and skills in M(DSP)-5-2)

 

·                               M(DSP)-5-2    Analyzes patterns, trends, or distributions in data in a variety of contexts by determining or using measures of central tendency (mean, median, or mode) or range to analyze situations or to solve problems.