Ardrey Kell High School Algebra Worksheet

Algebra 2 Module 5 DBA40 points 10 points each part
Part 1 – Application
A swimming pool can be filled using either a pipe, a hose or both. Using the pipe along it takes 12 hours.
Using a hose it takes 30 hours. How long would it take using both the hose and the pipe?
Answer to 2 decimal places.
Part 2 – Find the error(s) and solve the problem correctly.
Simplify
1
1+ 𝑥
1−
1
𝑥
2
Answer:
1
1+ 𝑥
1
1−
𝑥
2
1
𝑥
1
𝑥
1
𝑥
𝑥
𝑥
Cancel the 1’s in numerator and denominator
2
·
𝑥
1
2
Divide fractions by multiplying by reciprocal
2
= 𝑥 Simplify
=𝑥
Part 3 – Discussion/Explanation Question
In what ways can vertical, horizontal, and oblique asymptotes be identified? Use a mathematical example to
explain the ways.
Part 4 – Reflection
This question required:
1. The course resources and your teacher says that note taking is really helpful in mathematics. As you
went through this course would you agree or disagree with that? What additional advice would you give
to a student that is beginning the course today?
Choose 2 of the following questions:
2. Briefly explain a concept in this module and give at least one real world example that demonstrates the
concept that you have selected. Share an example not given in the course content or in the application
question above.
3. What would you do differently in part B that you didn’t do in this part A?
4. The course resources and your teacher says that note taking is really helpful in mathematics. As you
went through this course would you agree or disagree with that? What additional advice would you give
to a student that is beginning the course today?
5. Think back over this entire semester. What concept do you still need clarification on? Have you
reached out to your teacher about this concept? What are 3 ways that you can be successful on your
final exam? What assignments do you need to review and study before you take the final exam?
Your response must be at least three paragraphs (1 per question you choose).
Rubric
Not applicable
Needs
Improvement
Proficient
Exemplary
(0 points)
(up to 5.5 points)
(up to 8.5 points)
(up to 10 points)
Part 1
Application
Solution is
incorrect and the
student did not
show or explain
work or work the
problem incorrectly.
Solution is
incorrect; however
the student showed
their work and
made an error(s)in
calculations. OR
Solution is correct
but there is no
work shown or
explained
Solution is correct,
however there is
little work shown
for the problem.
Solution is correct.
All work shown and
explained using
mathematical
language from this
module.
Part 2
Find the
Error
Errors not found or
explained. Error in
attempt to rework
the problem.
Some or no errors
found. Problem
reworked out
partially.
All or most errors
found and
explained.
Problem not
reworked correctly.
All errors found
and explained.
Problem worked
out correctly with
all work shown
Part 3
Discussion
Question
Discussion
question not
answered or
discussed without
correct conclusion
Errors in
discussion. Little to
no mathematical
language included
in the discussion
Discussion has few
errors. Little to no
mathematical
language included
in the discussion
Discussion is
correct using
mathematical
language included
in this module to
answer the
discussion
question.
Part 4
Reflection
Reflection not
answered.
Reflection
attempted but
response is less
than 3 paragraphs.
No specific
examples given.
3 paragraphs are
written but less
than 2 sentences
and/or meaningful
discussion is
missing for a
paragraph. Little to
no specific
examples given.
3 paragraphs of at
least 3 meaningful
sentences each
answering each
question reflecting
on this module.
Specific examples
are given to justify
the reflection
questions.