This document provides a teacher version of a math course on finding the circumference and area of circles. It outlines the prerequisite content, learning goal, and more complex content. It also provides a detailed scoring rubric assessing a student's understanding of finding the circumference and area of circles from being able to identify circle parts to solving multi-step problems involving circles.

1. Grade 8: Math Course 3 TEACHER VERSION
Ch 10-1BCircumference and Area of Circles
Prerequisite Content:
Use formulas to find surface areas and volume of three dimensional shapes,
including composite shapes.
Learning Goal:
By the end of this lesson, students will be able to find the circumference and
area of circles.
More Complex Content:
Solve multi-step equations and problems to find perimeter and area for two-
dimensional figures.
Score 4.0 In addition to Score 3.0 performance, in-depth inferences and
applications that go beyond what was taught, such as
The student can, without help, correctly solve a real-world word
problem requiring the computation of the area or circumference of a
circle.
The student can find the area or circumference of a complex shape
involving a circle(s) and other two-dimensional figure(s) (for example,
a shaded region).
Score 3.5 The student can, without help, correctly solve for the
radius or diameter of a circle given the perimeter or area
of the circle.
Score 3.0 While engaged in area and perimeter of a circle tasks, the student
demonstrates an ability to
Correctly, without help, solve for the area and circumference of a
circle.
The student exhibits no major errors or omissions.
Score 2.5 The student can, without help, correctly estimate the
area and/or circumference of a circle.
Score 2.0 No major errors or omissions regarding the simpler details and
processes, such as
with help, the student can find the circumference of a circle and/or
the area of a circle using the correct formula.
However, the student exhibits major errors or omissions with Score
3.0 elements.
Score 1.5 The student understands that π (pi) is a little more than
than three (3).

2. Score 1.0 With help, a partial understanding of some of the Score 2.0
elements and some of the Score 3.0 elements.
The student knows that the circumference of a circle is a little more
than 3 times the diameter of a circle. The student knows that the
area of a circle is a little more than three times the radius squared of
a circle.
Score 0.5 The student can identify a circle, chord, radius, diameter,
and center of a circle. The student knows the value of π
(pi) is or rounded to the hundredths place, 3.14.
Score 0.0 Even with help, no understanding or skill demonstrated.