Standards
Addressed
Mathematics — Measurement Standards
Grade 3
03-04 Benchmark A: Select appropriate units for perimeter,
area, weight, volume (capacity), time and temperature,
using:
Measurement Units / Y2003.CMA.S02.G03-04.BA.L03.I01
01.
Identify and select appropriate units for measuring
the following:
- temperature – degrees (Fahrenheit or Celsius)
Plop,
Plop, Fizz, Fizz — Timing Race
Measurement
Units / Y2003.CMA.S02.G03-04.BA.L03.I04
04. Read
thermometers in both Fahrenheit and Celsius scales.
Plop,
Plop, Fizz, Fizz — Timing Race
03-04
Benchmark E: Tell time to the nearest minute.
Measurement
Units / Y2003.CMA.S02.G03-04.BE.L03.I03
03. Tell time
to the nearest minute and find elapsed time using a
calendar or a clock.
Think Time!
03-04 Benchmark C: Develop
common referents for units of measure for length, weight,
volume (capacity) and
time
to make comparisons and estimates.
Use Measurement
Techniques and Tools / Y2003.CMA.S02.G03-04.BC.L03.I05
05.
Estimate and measure length, weight and volume (capacity),
using metric and U.S. customary units,
accurate to the
nearest or unit as appropriate.
The Excellent
Estimator
Grade 4
03-04 Benchmark A: Select appropriate units for perimeter,
area, weight, volume (capacity), time and temperature
using:
Measurement Units / Y2003.CMA.S02.G03-04.BA.L04.I03
03.
Identify and select appropriate units to measure the
following:
- perimeter — string
or links (inches or centimeters).
- area — tiles
(square inches or square centimeters).
- volume — cubes
(cubic inches or cubic centimeters).
Cover It Up and Keep
It Green
New
McDonald’s
Farm — Planting
the Corn
New
McDonald’s Farm — Storing
the Corn
03-04 Benchmark C: Develop
common referents for units of measure for length, weight,
volume (capacity)
and
time
to make comparisons and estimates.
Measurement
Units / Y2003.CMA.S02.G03-04.BC.L04.I02
02. Demonstrate
and describe perimeter as surrounding and area as covering
a two-dimensional shape,
and volume as
filling a three-dimensional object.
Design
a Landfill for Your School
Fill
It Up — Design
a Landfill
Measuring
the Aircraft at Wright-Patterson — Cargo
Carriers
Wright-Patterson
Air Force Base Measures Up — Making
a Runway
03-04 Benchmark B: Know
that the number of units is inversely related to the
size of
the unit
for any item
being measured.
Use Measurement Techniques
and Tools / Y2003.CMA.S02.G03-04.BB.L04.I05
05. Make
simple unit conversions within a measurement system;
e.g., inches to feet,
kilograms to grams,
quarts to gallons.
The Excellent
Estimator
Lift Off!
Pegasus: A Myth About
Flight
Watch
Out, NASCAR — Here
Comes Our Car!
03-04 Benchmark D: Identify
appropriate tools and apply counting techniques for
measuring
side lengths,
perimeter
and area of squares, rectangles and
simple irregular two-dimensional shapes, volume
of rectangular
prisms and time and temperature.
Use
Measurement Techniques and Tools / Y2003.CMA.S02.G03-04.BD.L04.I04
04.
Develop and use strategies to find perimeter using
string or links,
area using tiles or
a grid, and volume
using cubes; e.g., count squares
to find area of regular or irregular shapes on
a grid, layer
cubes
in a box
to find its volume.
Can Your Boat
Float?
Design a Landfill
for Your School
Fill
It Up — Design
a Landfill
Watch
Out, NASCAR — Here
Comes Our Car!
Use Measurement Techniques
and Tools / Y2003.CMA.S02.G03-04.BD.L04.I06
06. Write,
solve and verify solutions to multi-step problems involving
measurement.
Design a Landfill
for Your School
Fill
It Up — Design
a Landfill
Measuring
the Aircraft at Wright-Patterson — Cargo
Carriers
New
McDonald’s
Farm — Planting
the Corn
Wright-Patterson
Air Force Base Measures Up — Making
a Runway
Grade 5
05-07 Benchmark E: Use problem solving
techniques and technology as
needed to solve problems
involving length,
weight, perimeter,
area, volume, time and temperature.
Measurement
Units / Y2003.CMA.S02.G05-07.BE.L05.I02
02. Identify
paths between points on a grid or coordinate plane
and compare
the lengths
of the
paths; e.g., shortest
path, paths of equal length.
I
Want a Doughnut!
05-07 Benchmark F: Analyze
and explain what happens to area and
perimeter
or surface
area and volume
when the dimensions of an object
are changed.
Measurement Units
/ Y2003.CMA.S02.G05-07.BF.L05.I03
03. Demonstrate
and describe the differences between
covering the
faces (surface area)
and filling the
interior (volume) of
three-dimensional objects.
Can Your Boat Float?
Measuring
the Aircraft at Wright-Patterson — Cargo
Carriers
New
McDonald’s Farm — Selling
the Corn
05-07 Benchmark
G: Understand and demonstrate the independence
of
perimeter and area
for two-dimensional shapes
and of surface area and volume
for
three-dimensional shapes.
Measurement
Units / Y2003.CMA.S02.G05-07.BG.L05.I03
03.
Demonstrate and describe the differences between
covering the faces (surface area) and
filling the interior
(volume)
of three-dimensional
objects.
New
McDonald’s
Farm — Selling
the Corn
New
McDonald’s Farm — Storing
the Corn
What Measure Will
You Use?
Wright-Patterson
Air Force Base Measures Up — Making
a Runway
Measurement Units / Y2003.CMA.S02.G05-07.BG.L05.I04
04.
Demonstrate understanding of the differences among
linear units, square units and cubic
units.
Wright-Patterson
Air Force Base Measures Up — Making
a Runway
05-07 Benchmark B: Convert
units of length, area, volume, mass and time within the
same measurement
system.
Use Measurement Techniques
and Tools / Y2003.CMA.S02.G05-07.BB.L05.I05
05. Make
conversions within the same measurement system while
performing computations.
Balloon Design Challenge
The Excellent Estimator
How Much Do You
Weigh on Other Planets?
Lift Off!
The Long, Winding
Road
Plop,
Plop, Fizz, Fizz — Timing Race
05-07
Benchmark C: Identify appropriate tools and apply appropriate
techniques for measuring
angles,
perimeter
or circumference
and area of triangles,
quadrilaterals, circles and composite shapes,
and surface area and volume of prisms and
cylinders.
Use Measurement Techniques
and Tools / Y2003.CMA.S02.G05-07.BC.L05.I06
06. Use strategies
to develop formulas for determining perimeter and area
of triangles,
rectangles and
parallelograms, and volume
of rectangular
prisms.
Sail Away
Grade 6
05-07 Benchmark F: Analyze and explain
what happens to area and perimeter
or surface area and volume
when the
dimensions
of an
object are changed.
Measurement Units
/ Y2003.CMA.S02.G05-07.BF.L06.I01
01. Understand
and describe the difference between surface area and
volume.
Can
Your Boat Float?
Design a Landfill
for Your School
Fill
It Up — Design
a Landfill
Game Day
New
McDonald’s Farm — Selling the
Corn
New
McDonald’s Farm — Storing
the Corn
05-07 Benchmark G:
Understand and demonstrate the independence of perimeter
and area
for two-dimensional shapes and
of surface area and volume
for three-dimensional shapes.
Measurement
Units / Y2003.CMA.S02.G05-07.BG.L06.I01
01. Understand
and describe the difference between surface area and
volume.
New
McDonald’s
Farm — Selling
the Corn
New
McDonald’s
Farm — Storing
the Corn
05-07 Benchmark
C: Identify appropriate tools and apply appropriate
techniques
for measuring
angles,
perimeter
or circumference
and area of triangles,
quadrilaterals, circles and composite
shapes, and surface area and volume
of prisms and
cylinders.
Use Measurement Techniques
and Tools / Y2003.CMA.S02.G05-07.BC.L06.I02
02.
Use strategies to develop formulas for finding circumference
and area
of circles, and to determine
the area of sectors.
Cover It
Up and Keep It Green
New
McDonald’s
Farm — Storing
the Corn
Use Measurement
Techniques and Tools / Y2003.CMA.S02.G05-07.BC.L06.I03
03.
Estimate perimeter or circumference and area for
circles, triangles
and quadrilaterals, and
surface area and volume
for prisms and
cylinders by performing
the following:
05-07 Benchmark
E: Use problem solving techniques and technology
as needed
to solve problems
involving length,
weight, perimeter,
area,
volume,
time and temperature.
Use Measurement
Techniques and Tools / Y2003.CMA.S02.G05-07.BE.L06.I04
04.
Determine which measure (perimeter, area, surface area,
volume)
matches the context
for a problem
situation; e.g.,
perimeter is
the context for
fencing a
garden, surface area
is the context for painting a room.
Design a Landfill
for Your
School
The Excellent
Estimator
Game Day
The Long, Winding
Road
New
McDonald’s
Farm — Planting
the Corn
New
McDonald’s
Farm — Selling
the Corn
What Measure
Will You Use?
05-07 Benchmark F: Analyze
and explain what happens
to area
and perimeter
or surface area and volume
when the
dimensions
of an
object are changed.
Use
Measurement Techniques and Tools / Y2003.CMA.S02.G05-07.BF.L06.I06
06.
Describe what happens to the perimeter and area
of a two-dimensional shape
when the measurements
of the
shape are changed; e.g.
length of sides are doubled.
Game
Day
05-07 Benchmark G: Understand
and demonstrate the independence
of
perimeter and area
for two-dimensional shapes
and of surface area and
volume for three-dimensional shapes.
Use Measurement
Techniques and Tools / Y2003.CMA.S02.G05-07.BG.L06.I05
05.
Understand the difference between perimeter and
area, and demonstrate
that two shapes
may have the
same perimeter,
but
different areas
or may have the
same area, but different
perimeters.
Can Your Boat
Float?
Game Day
Grade 7
05-07 Benchmark A: Select
appropriate units to
measure angles, circumference,
surface
area,
mass and volume.
Measurement
Units / Y2003.CMA.S02.G05-07.BA.L07.I01
01. Select
appropriate units for measuring derived measurements;
e.g., miles per
hour, revolutions per minute.
The Long, Winding
Road
05-07 Benchmark E: Use
strategies to develop formulas for finding circumference
and area of circles,
and determine the area
of sectors.
Use Measurement Techniques
and Tools / Y2003.CMA.S02.G05-07.BE.L07.I05
05.
Analyze problem situations involving measurement
concepts, select
appropriate strategies, and
use an organized
approach to solve narrative
and increasingly
complex problems.
New
McDonald’s Farm — Selling
the Corn
New
McDonald’s
Farm — Storing
the Corn
05-07
Benchmark F: Analyze and explain what happens
to area
and perimeter
or surface area and volume
when the
dimensions
of an
object are changed.
Use
Measurement Techniques and Tools / Y2003.CMA.S02.G05-07.BF.L07.I09
09.
Describe what happens to the surface area
and volume
of a three-dimensional
object when
the measurements
of the object
are changed;
e.g., length of sides are doubled.
New
McDonald’s
Farm — Selling
the Corn
Grade
8
08-10 Benchmark B:
Use formulas to find surface
area and volume
for
specified three-dimensional
objects accurate to a
specified level of
precision.
Use Measurement
Techniques and Tools / Y2003.CMA.S02.G08-10.BB.L08.I04
04.
Derive formulas for surface area and volume
and justify
them using
geometric models and
common materials.
For
example, find:
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