| EALR
#1: The student understands and applies the concepts and procedures of mathematics. |
| 1.1 Number Sense |
- Understands and uses properties and symbolic representations of real
numbers.
- Explains the magnitude of numbers by comparing and ordering real
numbers.
- Understands concepts of and uses processes involving prime and
composite numbers, factors and multiples, and divisibility.
- Understands and applies the concepts of ratio and proportion using
whole numbers, decimals, and fractional numbers.
- Understands operations on real numbers.
- Computes with real numbers, powers, and roots.
- Uses mental arithmetic, pencil and paper, calculator, or computer as
appropriate to the task involving real numbers.
- Uses estimation to predict computation results and to determine the
reasonableness of answers involving real numbers.
|
| 1.2 Measurement |
- Calculates rate and other derived and indirect measurements (mph).
- Understands that the precision and accuracy of measurement is
affected by calculating procedures.
- Uses estimation to obtain reasonable approximation.
|
| 1.3 Geometric Sense |
- Analyzes 2&3 dimensional figures, chooses appropriate formula,
and applies to find area, volume, perimeter, and measurement of sides.
- Understands and uses coordinate grids.
|
| 1.4 Probability and Statistics |
- Collects data using appropriate methods an technology.
- Organizes and displays data in appropriate forms such as tables or
graphs.
- Calculates and uses the different measures of central tendency,
variability, and range as appropriate in describing sets of data.
|
| 1.5 Algebraic Sense |
- Recognizes, creates, extends, and generalizes patterns, sequences,
and series.
- Understands, develops, and expresses rules describing patterns.
- Investigates the relationship between linear equations and their
graphs.
- Represents situations that involve variable quantities with
expressions, formulas and equations, and inequalities.
- Creates and solves equations and inequalities.
- Evaluates and simplifies expressions.
|
| EALR #2: The student
uses mathematics to define and solve problems. |
| 2.1 Investigate Situations |
- Searches systematically for patterns in complex situations.
- Analyzes and uses multiple strategies.
- Identifies what information is missing or extraneous and compensates
for it.
- Analyzes an unproductive approach and attempts to modify it or try a
new approach.
|
| 2.2 Formulate Questions |
- Identifies questions to be answered in complex situations.
- Defines problems in complex situations.
- Identifies the unknowns in complex situations.
|
| 2.3 Construct Solutions |
- Organizes and synthesizes information from multiple sources.
- Selects and uses appropriate mathematical tools.
- Applies appropriate methods, operations, and processes to construct a
solution.
|
| EALR #3: The student uses mathematical reasoning. |
| 3.1 Analyze
Information |
- Interprets and integrates information from multiple sources.
- Validates thinking and mathematical ideas using models, known facts,
patterns, relationships, counter-examples, and proportional reasoning.
|
| 3.2 Predict and
Infer |
- Makes and explains
conjectures and inferences based on analysis of problem situations.
|
| 3.3 Draw
Conclusions and Verify |
- Checks for reasonableness of results.
- Reflects on and evaluates procedures and results and makes necessary
revisions.
|
| EALR #4: The student communicates knowledge and understanding in both everyday
and mathematical language. |
| 4.1 Gather
Information |
- Develops or selects an efficient system for collecting information.
- Uses reading, listening, and observation skills to access and extract
mathematical information from multiple, self-selected sources.
- Integrates the use of a variety of available technologies to browse,
select, and retrieve mathematical information from multiple sources.
|
| 4.2 Organize and
Interpret |
- Organizes, clarifies, and refines mathematical information
in multiple ways - reflecting, verbalizing, discussing, or writing.
|
| 4.3 Represent
and Share |
- Expresses complex ideas and situations using mathematical language
and notation in appropriate and efficient forms.
- Expresses or presents mathematical ideas clearly and effectively
using both everyday and mathematical language appropriate to audience.
|
| EALR #5: The student understands how mathematical ideas connect to other
subject areas and real-life situations. |
| 5.1 Relate
Concepts and Procedures Within Mathematics |
- Relates and uses conceptual and procedural understandings among
multiple mathematical content areas.
- Relates and uses multiple equivalent mathematical models and
representations.
|
| 5.2 Relate
concepts and Procedures to Other Disciplines |
- Extends mathematical patterns and ideas to other disciplines.
|
| 5.3 Relate
Concepts and Procedures to Real-Life |
- Identify areas in which mathematics applies to occupational
areas of interest.
|
