Grade 7 Mathematics Continuum

• Identifies, compares, and orders decimals to millionths.
• Compares and orders fractions including improper and mixed numbers.
• Relates all fractions, decimals, and percents.
• Understands the concepts of prime and composite numbers, factors, multiples, and divisibility rules.
• Compares and orders integers.
• Understands concepts of ratio and proportion.
• Utilizes order of operations.
• Performs operations on integers.
• Performs operations on positive fractions and decimals.
• Uses mental math strategies when appropriate.
• Identifies situations in which estimation is sufficient and computation is not required.
• Uses estimation to predict computation results and to check reasonableness of answers.

• Understands and calculates perimeter, area, and volume.
• Converts units of mass, length, and capacity.
• Understands the concept of rate and how to calculate rates and determine units.
• Uses estimation to obtain reasonable approximations.
• Understands the benefits of standard/ nonstandard units.
• Understands the relationship among units within both the U.S. and metric systems.

• Uses multiple attributes to describe 2-D and 3-D geometric shapes.
• Identifies and describes objects in the surrounding environment.
• Describes location of points on a coordinate grid.
• Understands and identifies properties and relationships of plane geometry including ray, angle, isosceles, equilateral, and degrees in a circle, triangle, or quadrilateral.
• Constructs symmetric, congruent, and similar figures using various tools.
• Understands and constructs simple geometric transformations using combinations of slides, flips or turns.

• Knows how to calculate numerical measures of uncertainty for simple events.
• Understands procedures for counting outcomes to determine probabilities.
• Knows how to conduct experiments and simulations and to compare results with mathematical expectations.
• Identifies how statistics can be used to support different points of view.
• Collects a random sample of data that represents a described population.
• Organizes and displays data in appropriate forms such as frequency tables, circle graphs, and stem-and-leaf graphs.
• Calculates and uses mean, median, and mode as appropriate in describing a set of data.
• Predicts outcomes of experiments and simulations and compares the predictions to experimental results.
• Understands and makes inferences based on experimental results.

• Recognizes, creates, and extends patterns and sequences.
• Represents number patterns with tables, graphs, and rules.
• Represents equalities and inequalities symbolically using =, ¹ , > , < , £ , ³ .
• Understands and uses variables in simple equations, inequalities, and formulas (3x > 18).
• Sets up and solves single-variable equations.
• Evaluates simple expressions.

EALR #2: The student uses mathematics to define and solve problems.

• Searches systematically for patterns in simple situations.
• Develops and uses a variety of strategies and approaches.
• Identifies missing or extraneous information.
• Recognizes the need to modify or abandon an unproductive approach.

• Identifies questions to be answered in new situations.
• Defines problems in new situations.
• Identifies the unknowns and question to be answered.

• Organizes relevant information from multiple sources.
• Selects and sues appropriate mathematical tools.
• Applies appropriate methods, operations, and processes to construct a solution.

• Interprets, compares, and contrasts information from a variety of sources.
• Validates thinking and mathematical ideas using models, known facts, patterns, relationships, and counter-examples.

• Makes conjectures and inferences based on analysis of new problem situations.

• Tests conjectures and inferences and explains why they are true or false.
• Support arguments and justify results using inductive reasoning.
• Check for reasonableness of results.
• Reflect and evaluate on procedures and results in new problem situations.

• Develops a plan for collecting information.
• Uses reading, listening, and observation skills to access and extract mathematical information from multiple sources such as pictures, diagrams, physical models, oral narratives, and symbolic representations.
• Chooses appropriate available technology to browse, select and retrieve relevant mathematical information from a variety of sources.

• Organizes and clarifies mathematical information by reflecting, verbalizing, discussing, or writing.

• Clearly and effectively expresses or presents ideas and situations using both everyday and mathematical language appropriate to the audience such as models, tables, charts, graphs, written reflection, or algebraic notation.

• Connects conceptual and procedural understandings among different mathematical content areas.
• Relates and uses different mathematical models and representations for the same situation.

• Identifies mathematical patterns and ideas in other disciplines.
• Uses mathematical thinking and modeling in other disciplines.
• Describes examples of contributions to the development of mathematics such as the contributions of women, men, and different cultures.

• Recognizes the extensive use of mathematics outside the classroom, for example, in banking or sports statistics.
• Investigates the use of mathematics within several occupational/career areas of interest.