- Standard 1: Problem Solving
- Standard 2: Communication
- Standard 3: Reasoning
- Standard 4: Connections
- Standard 5: Estimation & Computation
- Standard 6: Numeration & Number Theory
- Standard 7: Geometry
- Standard 9: Statistics
- Standard 10: Probability
- Standard 11: Algebra
- Standard 12: Patterns, Relations, Functions
- Introduction to Mathematics
- Table of Contents - All Standards
Content Standard: Measurement
Students will select and use appropriate measurement instruments, strategies and formulas to solve problems in real world situations.
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Fourth Grade Performance Standards: Measurement
By the end of grade Four, students will:
Recognize and describe measurable attributes, such as length, liquid capacity, time, weight (mass), temperature, volume, monetary value, and angle size, and identify the appropriate units to measure them
Demonstrate understanding of basic facts, principles, and techniques of measurement, including
- appropriate use of arbitrary and standard units (metric and US Customary)
- appropriate use and conversion of units within a system (such as yards, feet, and inches; kilograms and grams; gallons, quarts, pints, and cups)
- judging the reasonableness of an obtained measurement as it relates to prior experience and familiar benchmarks
Read and interpret measuring instruments (e.g., rulers, clocks, thermometers)
Determine measurements directly by using standard tools to these suggested degrees of accuracy
- length to the nearest half-inch or nearest cm
- weight (mass) to the nearest ounce or nearest 5 grams
- temperature to the nearest 5
- time to the nearest minute
- monetary value to dollars and cents
- liquid capacity to the nearest fluid ounce
Determine measurements by using basic relationships (such as perimeter and area) and approximate measurements by using estimation techniques
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Eighth Grade Performance Standards: Measurement
By the end of grade Eight, students will:
Identify and describe attributes in situations where they are not directly or easily measurable (e.g., distance, area of an irregular figure, likelihood of occurrence)
Demonstrate understanding of basic measurement facts, principles, and techniques including the following
- approximate comparisons between metric and US Customary units (e.g., a liter and a quart are about the same; a kilometer is about six-tenths of a mile)
- knowledge that direct measurement produces approximate, not exact, measures
- the use of smaller units to produce more precise measures
Determine measurement directly using standard units (metric and US Customary) with these suggested degrees of accuracy
- lengths to the nearest mm or 1/16 of an inch
- weight (mass) to the nearest 0.1 g or 0.5 ounce
- liquid capacity to the nearest ml
- angles to the nearest degree
- temperature to the nearest C or F
- elapsed time to the nearest second
Determine measurements indirectly using
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Grade Level Performance Standards: Grade Six: Measurement
The student will:
Choose appropriate metric or standard units to determine the length, width, volume, area or weight of objects.
Estimate the measure of objects; validate estimate with measurement in metric and standard units.
Define and apply precision in measuring (such as measuring to the nearest millimeter, 1/16 of an inch, degree or second).
Use scales in map reading.
Solve problems involving consumer and career applications.
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Grade Level Performance Standards: Grade Seven: Measurement
The student will:
Choose appropriate metric or standard units of measure and convert between like units (e.g., inches and yards, kilometers and meters).
Create a scale drawing to represent a building layout.
Validate estimates of measure with actual measurement; express results with appropriate precision.
Construct, measure, bisect, duplicate, enlarge and shrink geometric figures.
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Grade Level Performance Standards: Grade Eight: Measurement
The student will:
Validate estimates of measure; express results with precision and explain the range of error.
Create a scale model/drawing for a proposed area or structure; present results and document costs of implementation.
Demonstrate accurate use of various scales in map reading.
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Twelfth Grade Performance Standards: Measurement
By the end of grade Twelve, students will:
Identify, describe, and use derived attributes (e.g., density, speed, acceleration, pressure) to represent and solve problem situations
Select and use tools with appropriate degree of precision to determine measurements directly within specified degrees of accuracy and error (tolerance)
Determine measurements indirectly, using
- estimation
- proportional reasoning, including those involving squaring and cubing (e.g., reasoning that areas of circles are proportional to the squares of their radii)
- techniques of algebra, geometry, and right triangle trigonometry
- formulas in applications (e.g., for compound interest, distance formula)
- geometric formulas to derive lengths, areas, or volumes of shapes and objects (e.g., cones, parallelograms, cylinders, pyramids)
- geometric relationships and properties of circles and polygons (e.g., size of central angles, area of a sector of a circle)
- conversion constants to relate measures in one system to another (e.g., meters to feet, dollars to Deutschmarks)
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Other Mathematics Pages:
- Standard 1: Problem Solving
- Standard 2: Communication
- Standard 3: Reasoning
- Standard 4: Connections
- Standard 5: Estimation & Computation
- Standard 6: Numeration & Number Theory
- Standard 7: Geometry
- Standard 9: Statistics
- Standard 10: Probability
- Standard 11: Algebra
- Standard 12: Patterns, Relations, Functions
- Introduction to Mathematics
- Table of Contents - All Standards
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