| EALR
#1: The student understands and applies the concepts and procedures of mathematics. |
| 1.1 Number Sense |
- Identifies, compares and orders numbers to millions.
- Identifies, compares and orders decimals to hundredths.
- Compares and order fractions.
- Relates fractions, decimals and percents (halves, thirds, fourths,
fifths, tenths).
- Understands concepts of prime and composite numbers, factors and
multiples, and divisibility rules (by 2, 3, 5).
- Performs operations (+ - x ¸ ) on whole numbers.
- Multiplies 2 and 3-digit numbers.
- Divides 3-digit dividends by 2-digit divisors.
- Adds, subtracts and multiplies decimals.
- Adds and subtracts fractions.
- Uses mental math strategies when appropriate.
- Identifies situations in which estimation is useful.
- Uses estimation to predict computation results and to determine
reasonableness of answers.
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| 1.2 Measurement |
- Uses tools to measure length accurately 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 radius, diameter, and circumference of a circle.
- Uses a formula to find the volume of a prism.
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| 1.3 Geometric Sense |
- Describes attributes of two and three dimensional shapes (i.e.; acute
angle, symmetrical, edges, faces).
- Plots ordered positive number pairs on a coordinate grid.
- Constructs geometric transformations using slides, flips and turns.
- Uses a protractor to measure and draw angles accurately.
- Uses a compass and straight edge to make geometric constructions.
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| 1.4 Probability and Statistics |
- Determines possible outcomes 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, median,
mode, mean) to describe data.
|
| 1.5 Algebraic Sense |
- Creates and extends patterns and generates rules.
- Solves single variable equations (3+x=12 and 20÷y=4).
|
| EALR #2: The student
uses mathematics to define and solve problems. |
| 2.1 Investigate Situations |
- Searches for patterns.
- Uses a variety of problem-solving strategies appropriately and
effectively.
- Identifies missing or extraneous information.
- Tries a new approach when needed.
|
| 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.
- 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.
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| 3.2 Predict and Infer |
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| 3.3 Draw Conclusions and Verify |
- Uses estimation to 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).
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| 4.2 Organize and Interpret |
- Organizes and clarifies mathematical information (math
journals, graphs).
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| 4.3 Represent and Share |
- Expresses ideas using mathematical language and notation by using
pictures, models, tables, charts, graphs, and number sentences.
- 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
(statistics in sports).
- 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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