| 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, for example,
money.
- Compares and orders fractions.
- Relates simple fractions, decimals and percents (1/4,
½, ¾, 1/10).
- Uses objects to show understanding of x and ¸ with 1 or 2-digit
factors.
- Computes whole numbers using an appropriate strategy (mental,
paper/pencil, calculator).
- Adds and subtracts whole numbers
(4-digit).
- Recalls x and ¸ facts through 9 x 9.
- Writes number sentences for +, -, x, ¸ .
- Multiplies 2-digit numbers.
- Uses estimation to predict computation results and to determine the
reasonable-ness of answers.
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| 1.2 Measurement |
- Uses appropriate tools and units of measure for measuring time,
money, length, volume, mass, area and temperature.
- Uses tools (ruler, tape measure) to accurately measure length in both
US and metric.
- Determines whether exact or approximate measurements are needed.
- Finds area and perimeter of polygons.
- Uses perimeter, area and volume to compare objects.
- Finds volume of rectangular prisms.
|
| 1.3 Geometric Sense |
- Recognizes geometric shapes in the surrounding environment.
- Uses tools to construct two dimensional shapes.
- Identifies attributes of two and three dimensional shapes (parallel,
symmetrical, congruent, perpendicular).
- Describes the relative position of figures on a coordinate plane/grid.
- Uses a protractor to measure and draw angles accurately.
- Identifies and uses appropriate tools to construct lines, line
segments, rays, angles, vertices, simple shapes and simple geometric transformations
(slides, flips, turns).
- Classifies angles (right, acute, obtuse).
|
| 1.4 Probability and Statistics |
- Determines possible outcomes of an event.
- Makes predictions and inferences based on experiments (coin toss,
spinner, dice roll).
- Uses measures of central tendency (maximum, minimum, median, range,
mode).
- Displays information in tables charts and graphs.
|
| 1.5 Algebraic Sense |
- Creates number patterns and generates rules.
- Read, writes and solves open sentences
(3 x __ = 18).
|
| EALR #2: The student
uses mathematics to define and solve problems. |
| 2.1 Investigate Situations |
- Searches for patterns.
- Uses the following problem-solving strategies appropriately:
- guess and check
- draw a picture
- make a chart or table
- use objects
- make an organized list
- use logical reasoning
- work backwards
- look for a table
- make a simpler problem
- act it out
- Recognizes when information is missing or extraneous.
- 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.
- Solves a multi-step problem when operation is not specified (word
problem).
|
| 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 |
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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).
|
| 4.2 Organize and Interpret |
- Organizes and clarifies
mathematical information (in a math journal).
|
| 4.3 Represent and Share |
- Expresses ideas by using pictures, tables, charts, graphs and number
sentences.
- Explains solution and thought processes orally and in writing.
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| 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 and decimals).
|
| 5.2 Relate concepts and Procedures to Other
Disciplines |
- Recognizes mathematical ideas and patterns in other disciplines.
- Uses mathematical thinking in other disciplines.
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| 5.3 Relate Concepts and Procedures to Real-Life |
- Gives examples of how math is used in everyday life.
- Uses a calculator appropriately and accurately.
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