Concepts of shape, center, spread and outliers graphs such as dot plots and box plots

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1 Intermediate Algebra - non STEM path Math in the Real World (3 hours) o Percentages o Unit conversion o Solving literal equations Functions (6 hours) o Unit analysis of input and output variables o Practical domain and range for models o Discrete probability functions Linear models (9 hours) o Interpreting slope as a rate of change o Evaluating/solving linear models o Unit analysis of slope, vertical intercept, independent and dependent variables Models (9 hours) o Non-whole number exponents o 4 approaches (Words, tables, graphs, symbols) o Basic logarithm functions and change of base property o Growth/decay factor vs. rate of growth decay o Evaluating/solving linear models o Natural base, e x and ln x Power functions variation (3 hours) o Proportion problems Quadratic models (7 hours) o Vertex and minimum/maximum problems o Algebra necessary for input/output problems quadratic formula Using formulas (1 hour) o Manipulating and using formulas Data Analysis (6 hours) o Difference between quantitative and qualitative data o Qualitative data bar graphs o Quantitative data Univariate data Concepts of shape, center, spread and outliers graphs such as dot plots and box plots Bivariate data Correlation direction, strength and form Using technology to fit linear or exponential model

2 Tentative Schedule - Non-STEM Intermediate Algebra Fall Quarter 2019 Monday Tuesday Wednesday Thursday Friday Sep Intro Funtions Funtions Functions Quiz 1 Functions Probability Sep/Oct Probability Linear Linear Linear Quiz 2 Linear Oct Linear Linear Linear Review Exam 1 Oct Linear Linear Quiz 3 October Quiz 4 Oct/Nov Power Power Review Exam 2 Power Nov Quadratic Quadratic Quadratic Quiz 5 Holiday Quadratic Nov Quadratic Quadratic Quadratic Math Real Quiz 6 World Quadratic Nov Math Math Formulas Review Exam 3 Real World Real World Nov Data Analysis Data Analysis Data Analysis Holiday Holiday Dec Data Analysis Data Analysis Data Analysis Quiz 7 Review Review Dec Final Exam

3 BSTEM Intermediate Algebra Math in the Real World (3 hours) o Percentages o Unit conversion o Solving literal equations Functions (6 hours) o 4 approaches(words, tables, graphs, symbols) o Function operations o Inverse functions One-to-one function o Domain and range o Intercepts Linear Functions (7 hours) o Forms Slope-Intercept Form Standard Form Solving linear equations o Slope Interpretation Parallel and perpendicular lines o Linear models Applications of lines and linear functions (7 hours) o Linear systems: 2 equations, 2 unknowns Methods of solving: graphical, substitution, elimination Applications o Linear inequalities In one variable In two variables Applications Functions(6 hours) Properties of exponents Non-integer exponents o Natural base o models

4 Logarithmic Functions (6 hours) o Graph Properties of logs Solving logarithmic equations Solving exponential equations o Natural Log o Logarithmic models Quadratic Functions (9 hours) o Standard and vertex form Add, subtract, multiply polynomials Factoring - up to quadratics Solving quadratic equations Factoring Taking square roots Quadratic formula o Quadratic models Power functions variation (2 hours) o Direct, Inverse, Joint variation o Power function models Absolute value functions (2 hours) o Graphs o Equations o Inequalities

5 2 Tentative Schedule - BSTEM Intermediate Algebra Fall Quarter 2019 Monday Tuesday Wednesday Thursday Friday Sep Intro Math in Real WorldM ath in Real World Functions Quiz 1 Math in Real World Functions Sep/Oct Functions Functions Functions Functions Quiz 2 Linear Oct Linear Linear Linear Linear Quiz3 Linear Oct Linear Linear Systems Linear System Linear Systems Exam 1 October Linear Systems Linear Ineq Linear Ineq Linear Ineq Quiz 4 Oct/Nov Quiz 5 Nov Logarithmic Logarithmic Logarithmic Exam 2 Holiday Nov Logarithmic Logarithmic Logarithmic Quadratic Quiz 6 Quadratic Nov Quadratic Quadratic Quadratic Quadratic Exam 3 Nov Quadratic Quadratic Quadratic Holiday Holiday Dec Variation Variation Abs Value Abs Value Review Dec Final Exam

6 Topics wanted Coverage in Proposed Courses nonbstem Int Alg BSTEM Int Alg Bio 6A, 6B, 6C Read Graphs Yes Yes Basic Algebra Yes Yes Use Formulas Yes Yes Unit Conversion Yes Yes Correlation Analysis Yes No Descriptive Statistics Yes No Probability Yes No Chem 1A, 25, 30 Basic Algebra Yes Yes Use a Scientific Calculator Yes Yes Use Formulas Yes Yes Unit Conversion Yes Yes Basic Logarithm Functions Yes Yes CIS Rational Functions No PreCalc Inverse Functions No Yes Functions and Modeling Logarithmic Functions and Modeling Yes No Yes Yes Distance Formula No Yes Equation of Circle No Yes Sequence and Series No PreCalc Econ Advisory only Yes Yes Physics Quadratic Formula Yes Yes

7 Precalculus Topics Required by C-ID C-ID: Math 151: College Algebra for STEM C-ID: Math 155: Precalculus C-ID: Math 851: Trigonometry NOTES: Topics that are covered in Math 151 C-ID are in RED Topics that are covered in Math 155 C-ID are in BLUE. It so happens that all of the Math 151 topics are also in Math 155. Topics that are covered in Math 851 C-ID are in GREEN. Many of the topics in Math 851 are also in Math 155. Math 41 A. Examine the definition of a function and investigate the implications and properties of this concept B. Explore graphs of functions of the form y = f(x) = x^p C. Create new functions from existing functions D. Graph and analyze exponential and logarithmic functions and solve related equations E. Graph and analyze polynomial functions and solve related equations and inequalities F. Graph and analyze rational functions and solve related equations and inequalities G. H. Graph and analyze conic sections in rectangular coordinates Examine the logic of conditional and bi-conditional statements as they appear in mathematical statements Math 42 A. Define and evaluate trigonometric functions using both degree and radian measure B. C. D. Solve oblique and right triangles Solve arc length and sector area problems Graph and analyze the six trigonometric functions E. Apply trigonometric identities to simplify and evaluate trigonometric expressions and verify other identities F. Analyze the inverse trigonometric functions G. Solve trigonometric equations H. Define the polar coordinate system and introduce polar graphs I. Examine complex numbers in the complex plane J. K. Perform operations with 2D vectors Examine the logic of conditional and bi-conditional statements as they appear in mathematical statements Ma th 43 A. Graph and analyze curves in polar coordinates B. Graph and analyze parametric equations. C. Explore matrices, matrix reduction and determinants in the context of solving systems of linear equations D. Solve systems of inequalities and systems of non-linear equations E. Perform operations with 3D vectors F. Explore equations of lines and planes in 3-space. G. Develop and use sequences and series H. Write proofs using mathematical induction I. Use the binomial theorem to calculate binomial coefficients and to expand binomial expressions J. Examine the logic of conditional and bi-conditional statements as they appear in mathematical statements K. Examine Hyperbolic functions, their graphs and verify and use common hyperbolic identities, and solve equations containing hyperbolic expressions