Download Trapezoids or Parallelograms

Formative Instructional and Assessment Tasks
Trapezoids or Parallelograms – 5.G.4
Domain
Cluster
Standard(s)
Materials
Geometry
Classify two-dimensional shapes into categories based on their properties.
5.G.4 Classify two-dimensional figures in a hierarchy based on properties.
Additional Standard:
5.G.3 Understand that attributes belonging to a category of two-dimensional figures also
belong to all subcategories of that category. For example, all rectangles have four right
angles and squares are rectangles, so all squares have four right angles.
Geoboard, task handout
Online geoboard can be found at this site:
http://nlvm.usu.edu/en/nav/frames_asid_172_g_2_t_3.html?open=activities
Task
Trapezoids or Parallelograms
On your geoboard, create the following shapes. After you create them, draw them on your
activity sheet and label them as trapezoids or parallelograms.
Part 1:
1) A shape with two sets of parallel sides and no right angles.
2) A shape with exactly one set of parallel sides and no right angles.
3) A shape with two sets of parallel sides and 2 or more right angles.
4) A shape with exactly one set of parallel sides and 2 or more right angles.
Part 2:
While doing Part 1 above, Kyle said, on problem 3 every time I make a shape with 2 sets
of parallel sides I create a shape with 4 right angles. It is impossible to make a shape with
2 sets of parallel sides and only have two right angles.
Is Kyle correct? Write a sentence explaining why or why not?
Level I
Limited Performance
 Student’s work shows
limited understanding of the
concepts.
Rubric
Level II
Not Yet Proficient
 Students’ explanations for
one or two parts of the task
are not clear or accurate.
NC DEPARTMENT OF PUBLIC INSTRUCTION
Level III
Proficient in Performance
 Accurately solves problem.
 Part 1: 1) A parallelogram that is
not a rectangle, 2) A trapezoid
with no right angles, 3) A
rectangle or square, 4) A trapezoid
with 2 right angles (right
trapezoid)
 Part 2: Jesus is correct. When you
create a shape with 2 sets of
parallel sides, the opposite angles
must be equal. If you have 2 right
angles with 2 sets of parallel sides,
then all 4 angles must be equal.
That means you must have 4 right
angles.
FIFTH GRADE
Formative Instructional and Assessment Tasks
* Note- In the U.S., the term “trapezoid” may have two different meanings. Research identifies these as
inclusive and exclusive definitions. The inclusive definition states: A trapezoid is a quadrilateral with
at least one pair of parallel sides. The exclusive definition states: A trapezoid is a quadrilateral with exactly one
pair of parallel sides. With this definition, a parallelogram is not a trapezoid. North Carolina has adopted the
exclusive definition. (Progressions for the CCSSM: Geometry, The Common Core Standards Writing Team,
June 2012.)
1.
2.
3.
4.
5.
6.
7.
8.
Standards for Mathematical Practice
Makes sense and perseveres in solving problems.
Reasons abstractly and quantitatively.
Constructs viable arguments and critiques the reasoning of others.
Models with mathematics.
Uses appropriate tools strategically.
Attends to precision.
Looks for and makes use of structure.
Looks for and expresses regularity in repeated reasoning.
NC DEPARTMENT OF PUBLIC INSTRUCTION
FIFTH GRADE
Formative Instructional and Assessment Tasks
Trapezoids or Parallelograms
On your geoboard, create the following shapes. After you create them, record and label them as
trapezoids or parallelograms below.
Part 1:
1) A shape with two sets of parallel sides and no right angles.
2) A shape with exactly one set of parallel sides and no right angles.
3) A shape with two sets of parallel sides and 2 or more right angles.
4) A shape with exactly one set of parallel sides and 2 or more right angles.
Part 2:
While doing Part 1 above, Kyle said, on problem 3 every time I make a shape with 2 sets of
parallel sides I create a shape with 4 right angles. It is impossible to make a shape with 2 sets of
parallel sides and only have two right angles.
Is Kyle correct? Write a sentence explaining why or why not?
NC DEPARTMENT OF PUBLIC INSTRUCTION
FIFTH GRADE