Cluster Summary for: Geometric measurement:
understand concepts of angle and measure angles.
Grade Level: 4th
Domain: Measurement and Data
Cluster Priority: ___ Major Cluster
___Supporting Cluster
X Additional Cluster
SCALE
TRIMESTER 1
TRIMESTER 2
TRIMESTER 3
4: Advanced
In addition to score 3, in-depth inferences and applications go beyond Mathematics, are applied to other disciplines, and are utilized in real-world contexts.
3: Proficient
The student
exhibits no major
errors or
omissions.
Recognize angles as geometric shapes that are
formed wherever two rays share a common
endpoint, and understand concepts of angle
measurement:
a. An angle is measured with reference to
a circle with its center at the common
endpoint of the rays, by considering
the fraction of the circular arc between
the points where the two rays
intersect the circle. An angle that turns
through 1/360 of a circle is called a
“one-degree angle”, and can be used
to measure angles.
b. An angle that turns through n onedegree angles is said to have an angle
measure of n degrees.
Measure angles in whole-number degrees using
a protractor.
Recognize angles as geometric shapes that are
formed wherever two rays share a common
endpoint, and understand concepts of angle
measurement:
a. An angle is measured with reference to a
circle with its center at the common
endpoint of the rays, by considering the
fraction of the circular arc between the
points where the two rays intersect the
circle. An angle that turns through 1/360
of a circle is called a “one-degree angle”,
and can be used to measure angles.
b. An angle that turns through n onedegree angles is said to have an angle
measure of n degrees.
Measure angles in whole-number degrees using a
protractor. Sketch angles of specified measure.
Recognize angles as geometric shapes that are formed
wherever two rays share a common endpoint, and
understand concepts of angle measurement:
a. An angle is measured with reference to a circle
with its center at the common endpoint of the
rays, by considering the fraction of the circular
arc between the points where the two rays
intersect the circle. An angle that turns through
1/360 of a circle is called a “one-degree angle”,
and can be used to measure angles.
b. An angle that turns through n one-degree angles
is said to have an angle measure of n degrees.
Measure angles in whole-number degrees using a
protractor. Sketch angles of specified measure.
Recognize angle measure as additive. When and angle is
decomposed into non-overlapping parts, the angle
measure of the whole is the sum of the angle measures of
the parts. Solve addition and subtraction problems to find
unknown angles on a diagram in real-world and
mathematical problems, e.g., by using and equation with
a symbol for the unknown angle measure.
Draw two adjacent angles whose total measurement is 70
degrees, with one of the angles being 40 degrees.
Proficiency
Measure assorted angles using a protractor.
Using a straight edge and a protractor draw a 74
Example
degree angle.
2: Partially Proficient
There are no major errors or omissions regarding the simpler details and processes as the student recognizes or recalls terminology and performs basic processes.
However, the student exhibits major errors or omissions regarding the more complex ideas and processes.
1: Novice
With help, a partial understanding of some of the simpler details and processes and some of the more complex ideas and processes.
0: No Evidence
Even with help, no understanding or skill demonstrated.
Mathematical Practices Best Taught in this Cluster: (check those that apply)
__ Make sense of problems & preserve in solving them __ Reason abstractly & quantitatively __ Construct viable arguments & critique the reasoning of others
__Model with mathematics __Use appropriate tools strategically __Attend to precision __Look for and make use of structure __Look for & express regularity in repeated reasoning
Cluster Summary for: Geometric measurement:
understand concepts of angle and measure angles.
Grade Level: 4th
Key Vocabulary for the Cluster:
Domain: Measurement and Data
Cluster Priority: ___ Major Cluster
___Supporting Cluster
X Additional Cluster