| EALR
#1: The student understands and applies the concepts and procedures of mathematics. |
| 1.1 Number Sense |
- Identifies, compares and orders numbers to trillions.
- Identifies, compares and orders decimals to thousandths.
- Compares and orders fractions (including improper fractions and mixed
numbers).
- Relates all fractions, decimals and percents.
- Understands concepts of prime and composite numbers, factors,
multiples, and divisibility rules.
- Compares and orders negative and positive numbers.
- Understands concept of ratio.
- Utilizes order of operations.
- Performs operations (+, -, x, ¸ ) on whole numbers.
- Performs operations (+, -, x, ¸ ) on 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 determine
reasonableness of answers.
- Interprets standard, exponential, and scientific notation.
|
| 1.2 Measurement |
- Uses tools to measure accurately length in both US and metric systems.
- Converts units of mass (1kg=1000g), length (3ft=1yd), and capacity
(1L=1000mL) within a system.
- Determines whether exact or approximate measurements are needed.
- Finds area and perimeter of polygons.
- Finds area and circumference of circle.
- Uses formula to find volume of a prism.
|
| 1.3 Geometric Sense |
- Describes attributes of two and three dimensional
shapes (i.e.; congruent, similar, vertex, face, perpendicular, adjacent,
vertical angles).
- Plots negative and positive numbers on a coordinate grid.
- Uses a protractor to measure and draw angles accurately.
- Understands and constructs simple geometric transformations using
slides, flips and turns.
- Uses a compass and straight-edge to construct symmetrical and
congruent figures.
|
| 1.4 Probability and Statistics |
- Counts possible outcomes to determine probability of an event.
- Makes predictions and inferences based on experiments.
- Collects, organizes, compares and displays data in tables, charts and
graphs.
- Uses measures of central tendency (maximum, minimum, range, media,
mode, mean) to describe data.
- Collects a random sample of data that represents a described
population.
|
| 1.5 Algebraic Sense |
- Creates and extend patterns and generates rules.
- Sets up and solves single variable equations.
- Evaluates simple expressions.
- Uses formulas with variables to find solutions.
- Represents equalities and inequalities symbolically using =, ¹ ,
>, <, ³ , £ , ».
|
| EALR #2: The student
uses mathematics to define and solve problems. |
| 2.1 Investigate Situations |
- Searches systematically for patterns.
- Uses a variety of problem-solving strategies appropriately and
effectively.
- 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 familiar situations.
|
| 2.3 Construct Solutions |
- Organizes relevant information in order to solve a problem.
- Selects and uses tools in solving problems.
- Finds solutions to problems.
|
| EALR #3: The student
uses mathematical reasoning. |
| 3.1 Analyze Information |
- Interprets, compares and contrasts information.
- Uses models, patterns and known facts to validate thinking.
|
| 3.2 Predict and Infer |
- Makes inferences based on analysis of problems.
- Predicts solutions.
|
| 3.3 Draw Conclusions and Verify |
- Check for reasonableness of answers.
- Reflects on and evaluates procedures.
- Uses data to justify results.
|
| EALR #4: The student
communicates knowledge and understanding in both everyday and mathematical language. |
| 4.1 Gather Information |
- Creates a plan for collecting information.
- Accesses information from a variety of sources (pictures, diagrams,
models, symbols, narratives).
|
| 4.2 Organize and Interpret |
- Organizes and clarifies mathematical information (math
journals, graphs, presentations).
|
| 4.3 Represent and Share |
- Expresses ideas using mathematical language and notation by using
pictures, models, tables, charts, graphs, and algebraic notation.
- Explains solution and thought processes orally and in writing.
|
| 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 |
- Recognizes relationships between different mathematical
content areas (fractions, decimals and percents).
|
| 5.2 Relate concepts and Procedures to Other
Disciplines |
- Identifies mathematical ideas and patterns in other disciplines.
- Uses mathematical thinking in other disciplines.
|
| 5.3 Relate Concepts and Procedures to Real-Life |
- Gives examples of how math is used in careers and everyday life.
- Uses a calculator appropriately and accurately.
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