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1. Grade 8: Math Course 3 TEACHER VERSION
Ch 9-1 C Problem-Solving Investigation: Determining Reasonable
Answers
Prerequisite Content:
Round numbers.
Estimate numbers.
Use mental math.
Learning Goal:
By the end of this lesson, students will be able to solve problems by determining
reasonable answers.
More Complex Content:
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 correctly solve a word problem and determine if
their answer is correct. The student can also create a word problem
for other students to solve that would require estimation or rounding
to determine reasonableness.
Score 3.5 The student can correctly identify whether they have
solved a problem correctly without help. They can solve a
word problem after reading and understanding the
question, and formulating a problem-solving plan. Prior to
computing an answer they estimate what a reasonable
answer would be. After arriving at an answer, the student
knows they should check their answer for reasonableness
again, and they do this by determining what the answer
might roughly be through estimation or rounding.
Score 3.0 While engaged in solving word problem tasks, the student
demonstrates an ability to
without help solve a word problem after reading and understanding
the question, and formulating a problem-solving plan. After arriving
at an answer, the student knows they should check their answer for
reasonableness, and they do this by determining what the answer
might roughly be through estimation or rounding.
The student exhibits no major errors or omissions.
Score 2.5 The student can, without help, read and understand the
question being asked, and then formulate a plan to solve

2. the problem by identifying clue words and their
appropriate operations, and make a decision on a
problem solving strategy. However, after finding a
solution, the student does not have the ability to
determine if the answer arrived at is reasonable or not.
Score 2.0 No major errors or omissions regarding the simpler details and
processes, such as
without help, the student can read and understand the question
being asked, and then formulate a plan to solve the problem by
identifying clue words and their appropriate operations, but struggle
to identify a problem-solving strategy unless assisted.
However, the student exhibits major errors or omissions with Score
3.0 elements.
Score 1.5 The student with help can read and understand the
question being asked. With help the student can
formulate a plan to solve the question.
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 with help can determine what the question is asking.
Score 0.5 The student reads the question, but decides it is just too
hard to solve a word problem. The student may write any
number down, without any work shown, making a feeble
attempt to look as though (s)he has solved the problem
and arrived at an answer.
Score 0.0 Even with help, no understanding or skill demonstrated.
The student commits the cardinal sin of writing IDK, or leaving the
answer blank, without attempting to read the question.

3. Grade 8: Math Course 3 STUDENT VERSION
Ch 9-1 C Problem-Solving Investigation: Determining Reasonable
Answers
Prerequisite Content:
Round numbers.
Estimate numbers.
Use mental math.
Learning Goal:
At the end of this lesson, students will be able to solve problems by determining
reasonable answers.
More Complex Content:
Score 4.0 In addition to Score 3.0 performance, in-depth inferences and
applications that go beyond what was taught, such as
I can solve word problems correctly and determine if my answer is
reasonable or not using mental math, estimation, and/or rounding. I
can also make up word problems for my friends and classmates.
Score 3.5 I can solve a word problem correctly, and figure out if my
answer is reasonable. Before I begin doing my actual
calculations, I decide what the answer will be close to
using mental math, estimation, and rounding. After I
solve the problem, I check to see that it is correct, and
close to the number I determined would be reasonable.
Score 3.0 While engaged in solving word problem tasks, the student
demonstrates an ability to
The student exhibits no major errors or omissions.
Score 2.5 without help I can solve a word problem. I know how to
find the question and understand what it is asking. I know
how to figure out a plan to solve the problem. But what I
can’t do is check my answer very well. Sometimes, I think
the problem is correct, but then my decimal point is in
the wrong place, and I find out I was wrong.
Score 2.0 No major errors or omissions regarding the simpler details and
processes, such as
without help, the student can read and understand the question
being asked, and then formulate a plan to solve the problem by

4. identifying clue words and their appropriate operations, but struggle
to identify a problem-solving strategy unless assisted.
However, the student exhibits major errors or omissions with Score
3.0 elements.
Score 1.5 The student with help can read and understand the
question being asked. With help the student can
formulate a plan to solve the question.
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 with help can determine what the question is asking.
Score 0.5 The student reads the question, but decides it is just too
hard to solve a word problem. The student may write any
number down, without any work shown, making a feeble
attempt to look as though (s)he has solved the problem
and arrived at an answer.
Score 0.0 Even with help, no understanding or skill demonstrated.
The student commits the cardinal sin of writing IDK, or leaving the
answer blank, without attempting to read the question.