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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 1 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. 2 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. 3 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 4