Grade 6 Curriculum Standards
I. Patterns, Relationships, and Functions
Content Standard 1: (Patterns) Students recognize similarities and generalize patterns, use patterns to create models and make predictions, describe the nature of patterns and relationships, and construct representations of mathematical relationships.
Content Standard 2: (Variables and Change) Students describe the relationships among variables, predict what will happen to one variable as another variable is changed, analyze natural variation and sources of variability, and compare patterns of change.
II. Geometry and Measurement
Content Standard 1: (Shape and Shape Relationships) Students develop spatial sense, use shape as an analytic and descriptive tool, identify characteristics and define shapes, identify properties and describe relationships among shapes.
Content Standard 2: (Position) Students identify locations of objects, identify location relative to other objects, and describe the effects of transformations (e.g., sliding, flipping, turning, enlarging, reducing) on an object.
Content Standard 3: (Measurement) Students compare attributes of two objects, or of one object with a standard (unit), and analyze situations to determine what measurement(s) should be made and to what level of precision.
III. Data Analysis and Statistics
Content Standard 1: (Collection, Organization and Presentation of Data) Students collect and explore data, organize data into a useful form, and develop skill in representing and reading data displayed in different formats.
Content Standard 2: (Description and Interpretation) Students examine data and describe characteristics of a distribution, relate data to the situation from which they arose, and use data to answer questions convincingly and persuasively.
Content Standard 3: (Inference and Predication) Students draw defensible inferences about unknown outcomes, make predictions, and identify the degree of confidence they have in their predictions.
IV. Number Sense and Numeration
Content Standard 1: (Concepts and Properties of Numbers) Students experience counting and measuring activities to develop intuitive sense about numbers, develop understanding about properties of numbers, understand the need for and existence of different sets of numbers, and investigate properties of special numbers.
Content Standard 2: (Representation and Uses of Numbers) Students recognize that numbers are used in different ways such as counting, measuring, ordering and estimating, understand and produce multiple representations of a number, and translate among equivalent representations.
Content Standard 3: (Number Relationships) Students investigate relationships such as equality, inequality, inverses, factors and multiples, and represent and compare very large and very small numbers.
V. Numerical and Algebraic Operations and Analytical Thinking
Content Standard 1: (Operations and their Properties) Students understand and use various types of operations (e.g., addition, subtraction, multiplication, division) to solve problems.
Content Standard 2: (Algebraic and Analytical Thinking) Students analyze problems to determine an appropriate process for solution, and use algebraic notations to model or represent problems.
VI. Probability and Discrete Mathematics
Content Standard 1: (Probability) Students develop an understanding of the notion of certainty and of probability as a measure of the degree of likelihood that can be assigned to a given event based on the knowledge available, and make critical judgments about claims that are made in probabilistic situations.
Content Standard 2: (Discrete Mathematics) Students investigate practical situations such as scheduling, routing, sequencing, networking, organizing and classifying, and analyze ideas like recurrence relations, induction, iteration, and algorithm design.