| High School
- Benchmark 1. "Select and use appropriate
tools; make accurate measurements using both metric
and common units, and measure angles in degrees and
radians."
- Angles
and Parallel Lines - Measurement (II.3.HS.1)
This site has an interactive applet that allows
geometry students to discover properties of parallel
lines. Access the applet by clicking on "11-14"
at the left side of the webpage. Locate "Angles
and Parallel Lines" from the drop down menu
to use the applet.
- Revision
Bites Measures - Measurement (II.3.HS.1)
This is a tutorial and then a question and answer
session on measurements. It involves making
conversions with the metric system and chosing
the appropriate unit to measure in.
- The
Moving Sofa Problem - Measurement (II.3.HS.1,2&6)
Students must determine whether couches, of varying
shapes, can fit around a narrow corner. In addition,
students calculate areas of different shaped furniture
and explore properties of regular and irregular
objects.
- Water
to the Max - Measurement (II.3.HS.1&4)
This is a teacher lesson plan of a student
activity. It includes measuring angles and
the distance of water flowing through a garden
hose at the different angles. This lesson
is one which can be done in class, however it
will work equally as homework or extra credit
assignment. It was designed by a teacher/
track coach and this activity could be used to
help athletes see what they should do to maximize
their performance. This activity is a great deal
of fun in the spring of the year when the students
want to get outside to enjoy the great outdoors
and the water.
- Benchmark 2. "Continue to make and apply
measurements of length, mass (weight), time, temperature,
area, volume, angle; classify objects according to
their dimensions."
- Pythagorean
Puzzle - Measurement (II.3.HS.2&6)
Outstanding
- This site gives a proof of the pythagorean
theorem using squares that students can move around.
It provides a useful link to real-life Pythagorean
applications under puzzles.
- The
Moving Sofa Problem - Measurement (II.3.HS.1,2&6)
Students must determine whether couches, of
varying shapes, can fit around a narrow corner.
In addition, students calculate areas of different
shaped furniture and explore properties of regular
and irregular objects.
- Benchmark 3. "Estimate measures with a specified
degree of accuracy and evaluate measurements for accuracy,
precision and tolerance."
- Reflect
on This - Measurement (II.3.HS.3&4)
This site, by NCTM (Illuminations) provides a
lesson on symmetry for high school geometry students.
In this lesson, the student will build a kaleidoscope
and use reflection to create and measure polygons.
Reproducible activity masters can be downloaded
by the teacher.
- Shaded
in Four Circles - Measurement (II.3.HS.3)
Four congruent circles each tangent to two of
the other. The centers are connected to form a
square. Find the estimated area formed between
the circles. This is not an interactive site.
- Benchmark 4. "Interpret measurements and
explain how changes in one measure may affect other
measures."
- Learning
about Length, Perimeter, Area, and Volume of Similar
Objects by Using Interactive Figures - Measurement
(II.3.HS.4)
As students experiment with different ratios of
side lengths (different scale factors), they have
the opportunity to observe and interpret the changes
in the volume and surface-area data. Complete
lesson plans, stand-alone applet and discussion
topics are included.
- Reflect
on This - Measurement (II.3.HS.3&4)
This site, by NCTM (Illuminations) provides
a lesson on symmetry for high school geometry
students. In this lesson, the student will build
a kaleidoscope and use reflection to create and
measure polygons. Reproducible activity masters
can be downloaded by the teacher.
- Understanding
Ratios or Areas of Inscribed Figures - Measurement
(II.3.HS.4)
This uses interactive diagrams to see how areas
change from a figure and an inscribed figure.
It also compares the ratio of the area.
- Water
to the Max - Measurement (II.3.HS.1&4)
This is a teacher lesson plan of a student activity.
It includes measuring angles and the distance
of water flowing through a garden hose at the
different angles. This lesson is one which
can be done in class, however it will work equally
as homework or extra credit assignment. It was
designed by a teacher/ track coach and this
activity could be used to help athletes see what
they should do to maximize their performance.
This activity is a great deal of fun in the spring
of the year when the students want to get outside
to enjoy the great outdoors and the water.
- Benchmark 5. "Use proportional reasoning
and indirect measurements, including applications
of trigonometric ratios, to measure inaccessible distances
and to determine derived measures such as density."
- Dave's
Short Trig Course - Measurement (II.3.HS.5)
This site contains a thorough tutorial on the
concepts of trigonometry and application of trig
functions. It could be used by both teachers
and students. There are clear explanations
and pictures as well as student practice problems.
Also included are application to the real world.
If there is anything a students needs to
know associated with a trigonometry lesson, it
can surely be found here.
- Geometry:
Special Triangles - Measurement (II.3.HS.5)
This site provides an explanation of various properties
of special right triangles. Then it gives
a few examples for the students to try.
It also provides a quiz for the students to take.
- Sine
and Cosine Rules - Measurement (II.3.HS.5)This
site is a tutorial on the sine and cosine of a
triangle. Students can read the formulas, answer
practice questions, and check themselves. A computer-scored
quiz completes the lesson.
- Benchmark 6. "Apply measurement to describe
the real world and to solve problems."
- Glencoe
Mathematics – Design a Monument - Measurement
(II.3.HS.6)
You work as an architect for an architectural
firm. The city in which your firm is located wants
to construct a monument to honor the war veterans
from your city. The monument needs to be a unique
building with a maximum of 1000 square feet of
interior floor space. They also want a unique,
creative tile pattern to be used on the floor
inside the monument. You need to present a design
for this building to the others in your firm.
Your proposal should be in a portfolio that contains
a design for the building and a pattern to be
used for tiling the floor inside the building.
If you prefer, you can prepare a Web page with
this information for the members of your firm
to view.
- Glencoe
Mathematics - "Geocaching" Sends Folks
on a Scavenger Hunt - Measurement (II.3.HS.6)
You work for a national company
that plans to market treasure hunts to radio stations,
television stations, and other organizations in
various cities. Your company will profit by selling
these hunts to the organizations. You need to
present a sample treasure hunt to your boss. You
may select any city in the U.S., or the world,
if you prefer. After your hunt has been designed,
you need to prepare a portfolio including the
map to be used, clues, questions, and answers.
If you prefer, you can prepare a Web page with
this information that others can view. Then customers
for this product could view a sample treasure
hunt.
- Pythagorean
Puzzle - Measurement (II.3.HS.2&6)
Outstanding
- This site gives a proof of the pythagorean
theorem using squares that students can move around.
It provides a useful link to real-life Pythagorean
applications under puzzles.
- The
Moving Sofa Problem - Measurement (II.3.HS.1,2&6)
Students must determine whether couches,
of varying shapes, can fit around a narrow corner.
In addition, students calculate areas of different
shaped furniture and explore properties of regular
and irregular objects
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