Download 4.G.1 Task 2 - 3-5 Formative Instructional and Assessment Tasks

Formative Instructional and Assessment Tasks
Making Roads
4.G.1 - Task 2
Domain
Cluster
Standard(s)
Materials
Task
Geometry
Draw and identify lines and angles, and classify shapes by properties of their lines
and angles.
4.G.1. Draw points, lines, line segments, rays, angles (right, acute, obtuse), and
perpendicular and parallel lines. Identify these in two-dimensional figures.
Paper and pencil
Student Task (below).
Part One:
The map below shows three towns (A, B, and C).
A
B
C
1) Draw three roads that connect the 3 towns. The roads should include 1 line, 1 line
segment, and 1 ray.
2) Make a town D so that the road between A and D is perpendicular to the road between
C and D.
3) Make 2 more towns (E and F) and connect the towns with 1 line and 1 ray. One of the
roads should be parallel to another road that you already have.
Part Two:
If you were in charge of the road system, and wanted to leave open the possibility of
building more towns in the future, should most of your roads be line segments, lines, or
rays?
Level I
Limited Performance
 More than 3 solutions are
incorrect.
Rubric
Level II
Not Yet Proficient
 Solutions are all correct but the
sentence does not clearly and
accurately describe the
differences OR All but 3
solutions are correct.
NC DEPARTMENT OF PUBLIC INSTRUCTION
Level III
Proficient in Performance
 Solutions: 1) The three roads
between A, B, and C are line
segments, lines, and rays. 2) D
is in the correct place, 3) E and
F are in the correct place.
AND
 The sentence explains that
lines would be best since they
extend in both directions.
FOURTH GRADE
Formative Instructional and Assessment Tasks
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
FOURTH GRADE
Formative Instructional and Assessment Tasks
Making Roads
Part One:
The map below shows three towns (A, B, and C).
A
B
C
4) Draw three roads that connect the 3 towns. The roads should include 1 line, 1
line segment, and 1 ray.
5) Make a town D so that the road between A and D is perpendicular to the road
between C and D.
6) Make 2 more towns (E and F) and connect the towns with 1 line and 1 ray. One
of the roads should be parallel to another road that you already have.
Part Two:
If you were in charge of the road system, and wanted to leave open the possibility
of building more towns in the future, should most of your roads be line segments,
lines, or rays?
NC DEPARTMENT OF PUBLIC INSTRUCTION
FOURTH GRADE