# Math 96: Intermediate Algebra in Context

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1 : Intermediate Algebra in Context Syllabus Spring Quarter 2016 Daily, 9:20 10:30am Instructor: Lauri Lindberg Office tutoring: Tutoring Center (CAS-504) 8 9am & 1 2pm daily STEM (Math) Center (RAI-338) Noon 1pm MW Tutoring Center (CAS-504) Noon-1pm Tu, Th, Fri Course Description: This course integrates numeracy, proportional reasoning, algebraic skills, and functional reasoning. Students will represent quantitative relationships in multiple ways in order to solve problems from a variety of authentic contexts. Linear and exponential functions, along with logarithms and radicals, will be studied and applied. Modeling and interpreting quantitative data is emphasized. Course Content: A. Numeracy B. Proportional Reasoning C. Algebraic Skills and Reasoning D. Functional Reasoning E. Realistic applications from relevant themes including finance, health and medicine, citizenship, and the physical world. Classroom Environment: The nature of this course is such that student s quantitative, algebraic, and critical thinking skills and knowledge will be enhanced through the mathematic content of the lessons, the collaborative interaction among the students, as well as the interaction between the students and the instructor. These lessons require us to work mostly in small groups but at times we will work individually, discuss together as the whole class, or participate in a short lecture. Text: There is no required textbook for this course. Instead, there is a packet of lessons developed by Quantway and adapted by the Pierce College Math Department. This packet of student materials is available in the bookstore and online in the WAMAP program for this class. You will need to be prepared for each class with a printed copy of the day s lesson(s). Calculator: A scientific calculator is needed for this course. The calculator on your phone is NOT an acceptable substitute during a test. Assessment: Your grade for the class is assessed in the following categories according to the given percentages: Homework 15% Student Engagement 15% Module Tests (4) 50% Comprehensive Final 20%

5 Page 5 TENTATIVE SCHEDULE Mondays Tuesdays Wednesdays Thursdays Fridays April 4 Syllabus April April April April April April April April April April April April April 21 April 22 Module 1 Test April April April April April May May May May May 6 May May 10 May 11 Module 2 Test May May May May May May May L.D.T.W. May 23 May 24 Module 3 Test May May May May 30 May June June June June June June June 9 June 10 Module 4 Test June 13 June 14 June 15 June 16 Final Test 8 10am June 17

6 Page 6 Student Outcomes: Numeracy 1. Demonstrate operation sense by communicating in words and symbols the effects of operations on numbers. Apply the correct order of operations in evaluating expressions and formulas. 2. Demonstrate an understanding of the magnitude of real numbers represented in many forms (fractions, decimals, scientific notation, square roots of numbers) by ordering and comparing them in mathematical and real-world contexts. 3. Estimate results in appropriate contexts, using appropriate precision; use estimation to detect errors and evaluate the reasonableness of answers. 4. Use dimensional analysis to convert units, rates, and ratios from any given units to other units. Include conversions among and between U.S. and metric units using a variety of metric prefixes. 5. Demonstrate measurement sense by determining the sizes of objects and angles using measurements and estimation. Determine perimeter, area, surface area, and volume using appropriate units in both the U.S. and metric systems. 6. Demonstrate an understanding of the connection between the distribution of data and various mathematical summaries of data (measures of central tendency and of variation). 7. Read, interpret, and make decisions based upon data from tables and graphical displays such as line graphs, bar graphs, scatterplots, pie charts, and histograms. Given data, choose an appropriate type of graphical display and create it using scales appropriate to the application. Proportional Reasoning 8. Recognize a proportional relationship from verbal, numeric, and visual representations. Link and create verbal, numeric, visual and symbolic representations of the relationship. 9. Compare proportional relationships represented in different ways, considering units when doing so. 10. Apply quantitative reasoning strategies to solve real-world problems with proportional relationships using whole numbers, fractions, decimals, and percents as appropriate. Algebraic Skills and Reasoning 11. Distinguish between variables and constants. Represent real-world problem situations using variables and constants. Construct equations to represent relationships between unknown quantities. 12. Simplify algebraic expressions by using the distributive property, combining like terms, and factoring out a greatest common factor. 13. Evaluate formulas with multiple variables in a variety of contexts, including science, statistics, geometry, and financial math. Solve simple formulas for a specified variable. 14. Distinguish between expressions and equations and apply appropriate methods to each. 15. Solve linear equations in one variable, including problems involving the distributive property and fractions.

7 Page 7 Algebraic Skills and Reasoning, cont. 16. Construct inequalities to represent relationships, solve simple and compound inequalities in one variable, represent solutions using interval notation, and interpret solutions in the context of the situation. 17. Use basic exponent rules to simplify expressions, including those with negative exponents. 18. Solve basic power equations of the form x^n = b using radicals. 19. Use the Pythagorean Theorem when appropriate in problem situations. Functional Reasoning 20. Translate problems from a variety of contexts into mathematical representation and vice versa (linear, exponential, simple quadratics). 21. Describe the behavior of common types of functions using words, algebraic symbols, graphs, and tables. Include descriptions of the dependent and independent variables. 22. Identify when a linear model is reasonable for a given situation and, when appropriate, formulate a linear model. In the context of the situation interpret the slope and intercepts and determine the reasonable domain and range. 23. Determine the exponential function for a situation when given an initial value and either the growth/decay rate or a second function value. Interpret the initial value and growth rate of an exponential function. Include compound interest as one application. 24. Translate exponential statements to equivalent logarithmic statements, interpret logarithmic scales, and use logarithms to solve basic exponential equations. 25. Use functional models to make predictions and solve problems. General Skills 26. Extract relevant information from complex scenarios. Obtain any necessary additional information from outside sources. Synthesize the information in order to solve problems and make decisions. 27. Identify which mathematical skills to use and then apply them in diverse scenarios and contexts. 28. Clearly communicate solution processes. Write solutions in the context of the problem in complete sentences, including units. Use mathematical notation and vocabulary correctly. 29. Use technology appropriately including calculators and computers.

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Number of Days: 20 11/27/17 12/22/17 Unit Goals Stage 1 Unit Description: Students study the concepts and language of ratios and unit rates. They use proportional reasoning to solve problems. In particular,