Measurement

  High School

• Units and scales
• Precision, accuracy, and approximate error in measurement
• Formulas for the area, surface area, and volume of geometric figures
• Successive approximation, upper and lower bounds, and limits in measurement
• Unit analysis to check measurement computations

  Middle School

• Metric and customary system of measurement
• Convert of units within the same system
• Measure angles, perimeter, area, surface area, and volume
• Methods for estimating measurements
• Circumference of circles and the area of triangles, parallelograms, trapezoids, and circles
• Area of more-complex shapes
• Surface area and volume of selected prisms, pyramids, and cylinders
• Problems involving scale factors (using ratio and proportion)
• Problems involving velocity and density

  Elementary School

• Length, area, weight, volume, and size of angle
• Standard units in the customary and metric systems
• Simple unit conversions
• Measurements of a two-dimensional shape
• Estimating the perimeters, areas, and volumes of irregular shapes
• Standard units and tools to measure length, area, volume, weight, time, temperature, and the size of angles
• Benchmarks to estimate measurements
• Formulas to find the area of rectangles and related triangles and parallelograms
• Surface areas and volumes of rectangular solids