Grade Six Mathematics Power Standards 3/30/07

Numbers and Operations:

§ M (N&O) – 6-2: Demonstrates understanding of the relative magnitude of numbers by ordering or comparing numbers with whole number bases and whole number exponents (e.g., 3 to the 4^th power, 4 to the 3^rd power), integers, or rational numbers within and across number formats (fractions, decimals, or whole number percents from 1 – 100) using lines and equality or inequality symbols.

§ M (N&O) – 6-4: Accurately solves problems involving single or multiple operations on fractions (proper, improper, and mixed), or decimals; and addition or subtraction of integers; percent of a whole; or problems involving greatest common factor or least common multiple.

Geometry and Measurement:

§ M (G&M) – 6-1: Uses 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, scalene, isosceles, or equilateral) or quadrilaterals (rectangles, squares, rhombi, trapezoids, or parallelograms).

§ M (G&M) – 6-6: Demonstrates conceptual understanding of perimeter of polygons, the area of quadrilaterals or triangles, and the volume of rectangular prisms by using models, formulas, or by solving problems, and demonstrates understanding of the relationships of circle measures (radius to diameter and diameter to circumference) by solving related problems. Expresses all measures using appropriate units.

§ M (G&M) – 6-7: Measures and uses units of measures appropriately and consistently, and makes conversions within systems when solving problems across the content strands. (Benchmarks in Appendix B)

Functions and Algebra:

§ M (F&A) – 6-1: Identifies and extends to specific cases a variety of patterns (linear and nonlinear) represented in models, tables, sequences, graphs, or in problem situations; or writes a rule in words or symbols for finding specific cases of linear relationship; or writes a rule in words or symbols for finding specific cases of a nonlinear relationship; and writes an expression or equation using words or symbols to express the generalization of linear relationship (e.g., twice the term number plus one or 2n + 1).

§ M (F&A) – 6-3: Demonstrates conceptual understanding of algebraic expressions by using letters to represent unknown quantities to write linear algebraic expressions involving any of the four operations and consistent with order of operations expected at this grade level; or by evaluating linear algebraic expressions (including those with more than one variable); or by evaluating an expression within an equation (e.g., determine the value of y when x = 4 given y = 3x – 2).

Data, Statistics, and Probability:

§ M (DSP) – 6-1: Interprets a given representation (circle graphs, line graphs, or stem-and-leaf plots) to answer questions related to the data, to analyze the data to formulate or justify conclusions, to make predictions, or to solve problems. (Analyses data consistent with concepts and skills in M (DSP)-6-2)

§ M (DSP) – 6-2: Analyzes patterns, trends, or distributions in data in a variety of contexts by determining or using measures of central tendency (mean, median, and mode) or dispersion (range) to analyze situations, or to solve problems.