# Measurement

## Content Standard

## Performance Indicator

## IMP

Students understand attributes, units, and systems of units in measurement; and develop and use techniques, tools, and formulas for measuring.

Analyze how changes in the measurement of one or more attributes of an object relate to other measurements (e.g., “In doubling the volume of a cube, what happens to the length of the sides?”).

Explain rate of change as a quotient of two different measures (e.g., velocity = change in displacement/change in time).

Use degree measures in problem situations.

Determine precision, accuracy and measurement errors; identify sources and magnitudes of possible errors in a measurement setting; describe how errors can propagate within computations; and determine how much imprecision is reasonable in various measurements.

Experimentally determine and use formulas for the volume of a sphere, cylinder, and cone.

Apply limit concepts to develop concepts of area under a curve and instantaneous rate of change.

Combine measurements using multiplication or rations to produce measures such as force, work, velocity,

## IMP 1

Patterns

Angle on Patterns: pp. 49, 51-52, 54

Putting It Together: pp. 56-64

Overland Trail

Graph Tells a Story: pp. 230-232

Making Predictions With Graphs: pp. 248-251

Calculators on the Trail?: pp. 256-257, 261-262-273

How Fast Should You Go?: pp. 275-280

California at Last!: pp. 284

Pit & the Pendulum

Poe – Master of Suspense: pp. 317-322

Statistics & the Pendulum: pp. 328-329, 343-347, 350-351

Standard Pendulum: pp. 355-356, 360

Measuring & Predicting: pp. 374

Shadows

What is a Shadow?: pp. 404-406, 409-410, 412

Geometry of Shadows: pp. 415-419

Triangles Galore: pp. 425-431, 435-437, 440, 442-445

Lights & Shadows: pp. 447-459

The Lamp & the Sun: pp. 461-464, 468-473

IMP 2

Solve It!

Keeping Things Balanced: pp. 26, -37

Linear World: pp. 72-73

Beyond Linearity: pp. 80-92

Is There Really a Difference?

Data, Data, Data: pp. 113

Coins & Dice: pp. 122-124, 126-129

Tool for Measuring Differences: pp. 153

Correlation of IMP Years 1-4 (© 1997-2000) to the Hawai’i Mathematics Content Standards8

It’s About TimeFebruary 2003