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,
Angle on Patterns: pp. 49, 51-52, 54
Putting It Together: pp. 56-64
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
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
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