| EALR
#1: The student understands and applies the concepts and procedures of mathematics. |
| 1.1 Number Sense |
- Identifies, compares and orders rational numbers.
- Relates all fractions, decimals, and percents.
- Understands concepts of prime and composite numbers, factors,
multiples, and divisibility rules.
- Understands concepts of ratio and proportion.
- Performs operations (+, x, ÷, -) on rational numbers.
- Uses mental math strategies when appropriate.
- Uses mental arithmetic, pencil, paper, calculator or computer as
appropriate to the task involving rational numbers.
- Utilizes order of operations.
- Uses estimate to predict computation results and to determine the
reasonableness of answers involving rational numbers.
- Identifies real numbers.
|
| 1.2 Measurement |
- Utilizes relationships between perimeter, area, and volume.
- Converts units of mass, length, and capacity.
- Understands and uses formulas to find volumes and areas.
|
| 1.3 Geometric Sense |
- Uses multiple attributes to describe 2&3 dimensional geometric
shapes.
- Understands and identifies properties and relationships of triangles,
quadrilaterals, and polygons.
- Uses compasses and protractors to do constructions.
- Measures and understands angles and degrees.
- Identifies convex and concave figures.
- Identifies symmetric, congruent, and similar figures.
- Understands and constructs simple geometric transformations using
flips, slides, and turns.
|
| 1.4 Probability and Statistics |
- Utilizes ratio and proportion.
- Understands dependent events.
- Understands differences of independent and dependent events.
- Shows how statistics are used to support different viewpoints.
- Identifies misleading statistics.
- Calculates and uses mean, median, and mode.
|
| 1.5 Algebraic Sense |
- Recognizes, creates, and extends patterns, series, and sequence.
- Solves and sets up one-step equations, whole numbers, fractions,
decimals.
- Solves two-step equations, whole, fractions, decimals.
- Understands and uses variables in simple equations and inequalities.
- Uses symbols and words to represent equations.
- Evaluates simple expressions.
|
| EALR #2: The student
uses mathematics to define and solve problems. |
| 2.1 Investigate Situations |
- 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.
|
| 2.2 Formulate Questions |
- Identifies questions to be answered in new situations.
- Defines problems in new situations.
- Identifies the unknowns and question to be answered.
|
| 2.3 Construct Solutions |
- Organizes relevant 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, compares, and contrasts information from a variety of
sources.
- Validates thinking an mathematical ideas using models, known facts,
patterns, relationships, and counter-examples.
|
| 3.2 Predict and Infer |
- Makes conjectures and inferences based on analysis of new
problem situations.
|
| 3.3 Draw Conclusions and Verify |
- Tests conjectures and inferences and explains why they are true or
false.
- Supports arguments and justifies results using inductive reasoning.
- Checks for reasonableness of results.
- Reflects and evaluates on procedures and results in new problem
situations.
|
| EALR #4: The student communicates knowledge and understanding in both everyday
and mathematical language. |
| 4.1 Gather
Information |
- 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.
|
| 4.2 Organize and
Interpret |
- Organizes and clarifies mathematical information by
reflecting, verbalizing, discussing, or writing.
|
| 4.3 Represent
and Share |
- 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.
- Expresses mathematical ideas with clarity 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 |
- Connects conceptual and procedural understandings among different
mathematical content areas.
- Relates and uses different mathematical models and representations
for the same situation.
|
| 5.2 Relate
concepts and Procedures to Other Disciplines |
- 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.
|
| 5.3 Relate
Concepts and Procedures to Real-Life |
- 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.
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