Course No: MTH63
Credits:
4
Date: September 2014
Course Title:
Applied Algebra I
Institution:
Rogue Community College
Type of Course:
Post-secondary Remedial Math
Length of Course:
A minimum of forty (40) lecture hours per one term.
Prerequisites:
MTH20 and RD30 or designated placement test scores.
Department Assignment:
Mathematics
Course Description: Introduces the use of formulas and equations in an entirely practical and
applied context. Topics include mathematical operations with real numbers, measurement, ratios,
proportions, percentages, dimensional analysis, order of operations, solving equations
numerically and symbolically, Pythagorean theorem, trigonometry, area, perimeter, surface area
and volume.
Course Outcomes, ILO (Institutional Learning Outcomes) Indicators and Assessment:
Expected Outcomes:
1. Use mathematical problem
solving techniques involving
real numbers, exponents, order
of operation, and linear
equations.
ILO Key Indicators:
COM 2 – Express ideas
clearly in oral, written and
visual work.
CT 3 – Locate, organize,
analyze, and interpret data.
AK 2 – Integrate previous
and new learning, along with
practical skills, and solve
problems.
AK 4 – Use numeracy skills
for interpretation, synthesis,
and analysis of data.
2. Create models of real world
situations.
CT 3 – Locate, organize,
analyze, and interpret data.
AK 1 – Demonstrate ability
to transfer learning in
familiar and unfamiliar
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Assessment Methods:
1. Criterion referenced tests
and quizzes. The understanding and application of
concepts is tested utilizing any
or all of the following: pencil
and paper, scientific
calculators, and resource
materials (texts, notes and
manipulatives). Daily
assignments involve the
interpretation and solution of
problems. Solution strategies
are assessed in class.
2. Criterion referenced tests
and quizzes. The understanding and application of
concepts is assessed utilizing
pencil and paper and graphing
Expected Outcomes:
3. Make mathematical
connections to, and solve
problems from other
disciplines (specifically,
Mechanical and Construction
Technology) that can be
represented using real
numbers, algebraic notation,
and linear models.
4. Use oral and written skills to
individually and
collaboratively communicate
about real numbers, algebraic
and numeric notation, linear
expressions and equations,
exponents, and polynomials.
5. Use appropriate technology
to enhance their mathematical
thinking and understanding of
and to solve problems
involving real numbers,
algebraic notations and linear
expressions and equations;
judge the reasonableness of
their results.
6. Do projects that encourage
independent, non-trivial
exploration of situations that
best model linear equations.
7. Use a variety of problem
solving processes and
ILO Key Indicators:
contexts in order to complete
tasks.
AK 2 – Integrate previous
and new learning, along with
practical skills, and solve
problems.
AL 3 – Internalize and
assimilate information into
new situations.
CT 3 – Locate, organize,
analyze, and interpret data.
AK 1 – Demonstrate ability
to transfer learning in
familiar and unfamiliar
contexts in order to complete
tasks.
AK 2 – Integrate previous
and new learning, along with
practical skills, and solve
problems.
COM 2 – Express ideas
clearly in oral, written and
visual work.
COM 3 – Collaborate
effectively to achieve
course/learning goals.
Assessment Methods:
calculators, and resource
materials. Daily assignments
will involve the solution and
interpretation of problems.
Solution strategies are
assessed in class.
3. Criterion referenced tests
and quizzes. Application
problems will be taken from
the career-technical areas such
as mechanical and
construction technology and
electronics. Weekly
assignments will stress these
applications and the strategies
used to solve them.
CT 3 – Locate, organize,
analyze, and interpret data.
AK 1 – Demonstrate ability
to transfer learning in
familiar and unfamiliar
contexts in order to complete
tasks.
5. Criterion referenced tests
and quizzes for specific
vocabulary, skills, concepts,
and daily problem
assignments.
CT 3 – Locate, organize,
analyze, and interpret data.
AK 1 – Demonstrate ability
to transfer learning in
familiar and unfamiliar
contexts in order to complete
tasks.
AL 3 – Internalize and
assimilate information into
6. Project completion and
presentations.
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4. Criterion referenced tests
and quizzes. Daily
assignments and in-class
projects.
7. Criterion referenced tests
and quizzes for specific
Expected Outcomes:
strategies (including linear,
geometric, proportional, and
tabular methods) to solve
problems, verify the accuracy
and interpret reasonableness of
solutions in context of the
original problem.
8. Solve problems using
geometric formulas (perimeter,
area, and volume) and
dimensional analysis (unit
conversion).
ILO Key Indicators:
new situations.
CT 3 – Locate, organize,
analyze, and interpret data.
AK 1 – Demonstrate ability
to transfer learning in
familiar and unfamiliar
contexts in order to complete
tasks.
AK 2 – Integrate previous
and new learning, along with
practical skills, to solve
problems.
AL 3 – Internalize and
assimilate information into
new situations.
CT 3 – Locate, organize,
analyze, and interpret data.
AK 1 – Demonstrate ability
to transfer learning in
familiar and unfamiliar
contexts in order to complete
tasks.
AK 2 – Integrate previous
and new learning, along with
practical skills, to solve
problems.
Assessment Methods:
vocabulary skills, concepts,
and daily problem
assignments.
8. Criterion referenced tests
and quizzes for specific
vocabulary skills, concepts,
and daily problem
assignments.
Typical Required and Recommended Text(s): Doug Gardner, Applied Algebra 1, 3rd Ed.,
2014.
Typical Required and Recommended Equipment and Materials: Scientific calculator (TI30), pencil, paper and graph paper or engineering paper.
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TYPICAL COURSE OUTLINE:
Review of Basic Concepts
Basic operations with fractions, decimals and negative numbers
Measurement
Decimal to fraction conversion (w/rounding)
Fraction to decimal conversion
Ratio, proportion and percent
Dimensional analysis
Order of operations and problem solving
Formulas and Equations
Solving simple and complex equations numerically
Solving simple equations symbolically
Right Triangle Geometry
Trigonometric functions
Solving right triangles using the Sine, Cosine, and Tangent functions
Pythagorean Theorem with applications
Angles
Trigonometry with applications
Geometry
Area and perimeter with applications
Surface area with applications
Volume with applications
Conversion to different units
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