Measurement
National Council of Teachers
of Mathematics
Standards 2000
URL: http://standards.nctm.org/document/chapter6/meas.htm
For all grades, NCTM standards focus
on students being able to: "understand measurable
attributes of objects and the units, systems,
and processes of measurement; and apply appropriate
techniques, tools, and formulas to determine measurements."
|
In grades 6–8 all students should— |
| • |
understand both metric and customary
systems of measurement; |
| • |
understand, select, and use units of
appropriate size and type to measure
angles, perimeter, area, surface area,
and volume; |
| • |
select and apply techniques and tools
to accurately find length, area, volume,
and angle measures to appropriate levels
of precision; |
| • |
develop
and use formulas to determine the circumference
of circles and the area of triangles,
parallelograms, trapezoids, and circles
and develop strategies to find the area
of more- complex shapes; |
| • |
solve problems involving scale factors,
using ratio and proportion.
top
|
| |
|
|
Related Problems of the Week include:
Llama, Scale 'n' Pop
|
|
Llama I-III
(click on image for larger view)
|
The Problem: Students work to maximize
the area of a rectagular llama cage given
limited fencing.
Where's the Math: Challenges students
to estimate, hypothesize, experiment and
draw conclusions using measurement, geometry,
ratio/proportion.
NCTM Standards: Algebra, geometry,
measurement, data analysis and probability,
numbers and operations
Components: Sketchpad, HTML viewer,
number entry, button panel, text editor,
Logoscript
Llama
1 | 2
| 3
Click on the links above to learn more about
the problem series, the math involved, sample
solutions, and developers' assessment
top
|
|
|
Scale 'n' Pop
(click on image for larger view)
|
The Problem: Students resize a balloon
by scaling it with fractional scaling factors.
The balloon must be small enough to fit
between two walls, yet be big enough to
be popped by a pair of nails.
Where’s the Math: This problem
allows students to investigate the properties
of fractions. The applet allows a visual
representations of basic properties of fractions,
and makes it easier to see things like the
fact that a smaller numerator makes the
fraction smaller, but a smaller denominator
makes the fraction bigger. The problem also
illustrates how fractional scaling factors
can be used to change the size of an object.
The data table displays that scaling and
illustrates conversion between fractions
and decimals.
NCTM Standards: Geometry, measurement,
number & operations
Role of Components: Sketchpad, number
entry, JRadioButtons, JButtons, JLabels,
JTextArea.
Learn more about the problem,
the math involved, sample solutions, and
developers' assessment
top
|
|
