Melonie RasmussenDavid LippmanTyler WallaceDale HoffmanFederico Marchetti

Changing the world

one course at a time…

What is the OCL What is the OCL Project?Project?Design 42 high-enrollment courses for

face-to-face, hybrid, or online delivery

Reduce cost of course materials (< $30)

New resources for faculty to use in their courses

Creating ready-to-use course modules

This is This is NOTNOT

Mandated curriculum

Canned courses

An effort to force classes to go online

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The courses will be digital and modular so faculty can take the pieces they want to use and ignore the rest

What we will be doingWhat we will be doing

Finding, compiling, or creating* a low-cost book or book alternative for under $30

And then…

*writing a book is not what this grant is funding

What we will be What we will be creatingcreating A syllabus with clear learning outcomes Course curriculum & instructional materials Formative and summative assessments Surveys Grading rubrics Cover letter describing tips and tricks of

how to teach the course Cover letter for licensing

Who’s doing what?Who’s doing what?Tyler Wallace, Big Bend CC

Introductory and Intermediate Algebra

Federico Marchetti, Shoreline CCIntro Statistics, Math& 146

Melonie Rasmussen & David Lippman, Pierce CCPrecalculus 1 and 2, Math& 141/142

Dale Hoffman, Bellevue CollegeCalculus 1, 2, and 3, Math& 151/152/153

Precalc 1 and 2Precalc 1 and 2Planned approach:

Contextual motivation Mix of plenty of drill with interesting applications

that don’t exactly match examples A function exploration approach: With each

new function we study: the graph, important features, domain/range, transformations, finding equations from sufficient data, solving equations, modeling, applications.

Link graphical, verbal, numerical, and algebraic representations

Precalc 1 and 2Precalc 1 and 2 Functions

Functions and Function notation Basic Tool Kit functions Domain and Range and graphing and Piecewise Composition of functions Transformations Inverse functions

Linear functions Linear functions (finding equations, rates of change, domain/range) Graphs (intercepts, parallel/perpendicular, relating words & tables to

graphs) Solving equations and inequalities  *maybe distribute to 1 & 4 Linear models (applications, extensions) Fitting lines to data Absolute value functions (transformations, graphs) Solving absolute value equations and inequalities

Precalc 1 and 2Precalc 1 and 2 Polynomial and Rational functions

Polynomial functions (power functions, form, domain/range, turning points, long run behavior)

Quadratic graphs (vertex, intercepts, transformations) Solving quadratic equations and inequalities Polynomial graphs (intercepts, graph to/from equation) Rational functions (asymptotes, intercepts, domain/range) Solving polynomial and rational equations and inequalities Applications of polynomial and rational functions

Exponential and Logarithmic functions Exponential functions (form, finding equations) Graphs (asymptotes, intercepts, transformations, domain/range) Exponential models (applications, continuous growth) Fitting exponentials to data Logarithms (def as inverse, use to solve basic exponentials) Log properties (properties, use to solve more difficult exponentials) Graphs (asymptotes, intercepts, transformations, domain/range) Solving exponential and log models  (solving applications)

Precalc 1 and 2Precalc 1 and 2 Trig functions

Angles (degrees / radians / reference angle) Right triangles (define sin/cos/tan as right triangle proportions) Unit circle (relate triangles to unit circle, special angles to memorize, pythagorean

identity) Trig graphs (transforms, domain/ranges) Reciprocal functions (graphs of sec/csc/cot, domain range, defs) Solving trig equations (basic solving using unit circle values.  define inverse

functions, domain/range, simple solves) Applications of trig equations (modeling) Changing Amplitude & Midline Non-right triangles (law of sines/cosines with applications) Simplifying trig expressions (use identities) Proving trig identities Solving equations using identities

Applications of trig Polar coordinates Vectors Applications of vectors Polar form of complex numbers Parametric equations

Intro and Intermediate Intro and Intermediate AlgebraAlgebra

StatisticsStatistics

Planning on working with Carnegie Mellon’s Open Learning Initiative

http://oli.web.cmu.edu/openlearning/

Calculus 1, 2, and 3Calculus 1, 2, and 3 How to Succeed in Calculus 0.1 Preview 0.2 Lines 0.3 Functions 0.4 Combinations of Functions 0.5 Mathematical Language

1.0 Slopes & Velocities 1.1 Limit of a Function 1.2 Limit Properties 1.3 Continuous Functions 1.4 Formal Definition of Limit

2.0 Slope of a Tangent Line 2.1 Definition of Derivative 2.2 Differentiation Formulas 2.3 More Differentiation Patterns 2.4 Chain Rule (!!!) 2.5 Using the Chain Rule 2.6 Related Rates 2.7 Newton's Method 2.8 Linear Approximation 2.9 Implicit Differentiation

Calculus 1, 2, and 3Calculus 1, 2, and 3 3.1 Introduction to Maximums & Minimums 3.2 Mean Value Theorem 3.3 f' and the Shape of f 3.4 f'' and the Shape of a f 3.5 Applied Maximums & Minimums 3.6 Asymptotes 3.7 L'Hospital's Rule

4.0 Introduction to Integration 4.1 Sigma Notation & Riemann Sums 4.2 The Definite Integral 4.3 Properties of the Definite Integral 4.4 Areas, Integrals and Antiderivatives 4.5 The Fundamental Theorem of Calculus 4.6 Finding Antiderivatives 4.7 First Applications of Definite Integrals 4.8 Using Tables to find Antiderivatives 4.9 Approximating Definite Integrals

Calculus 1, 2, and 3Calculus 1, 2, and 3 5.0 Introduction to Applications 5.1 Volumes 5.2 Length of a Curve 5.3 Work 5.4 Moments and Centers of Mass 5.5 Additional Applications

6.0 Introduction to Differential Equations 6.1 Differential Equation y'=f(x) 6.2 Separable Differential Equations 6.3 Growth, Decay and Cooling

7.0 Introduction 7.1 Inverse Functions 7.2 Inverse Trigonometric Functions 7.3 Calculus with Inverse Trigonometric Functions

Calculus 1, 2, and 3Calculus 1, 2, and 3 8.0 Introduction 8.1 Improper Integrals 8.2 Finding Antiderivatives: A Review 8.3 Integration by Parts 8.4 Partial Fraction Decomposition 8.5 Trigonometric Substitution

9.1 Polar Coordinates 9.2 Calculus with Polar Coordinates 9.3 Parametric Equations 9.4 Calculus with Parametric Equations 9.5 Conic Sections 9.6 Properties of the Conic Sections

Calculus 1, 2, and 3Calculus 1, 2, and 3 10.0 Introduction 10.1 Sequences 10.2 Infinite Series 10.3 Geometric Series & the Harmonic Series 10.4 Positive Term Series: Integral Test & P-Test 10.5 Positive Term Series: Comparison Tests 10.6 Alternating Sign Series 10.7 Absolute Convergence & Ratio Test 10.8 Power Series 10.9 Representing Functions as Power Series 10.10 Taylor and Maclaurin Series 10.11 Approximation Using Taylor Polynomials

11.0 Introduction: Moving Beyond Two Dimensions 11.1 Vectors in the Plane 11.2 Rectangular Coordinates in Three Dimensions 11.3 Vectors in Three Dimensions 11.4 Dot Product 11.5 Cross Product 11.6 Lines and Planes in Three Dimensions

Calculus 1, 2, and 3Calculus 1, 2, and 3 12.0 Introduction to Vector-Valued Functions 12.1 Vector-Valued Functions and Curves in Space 12.2 Derivatives & Antiderivatives of Vector-Valued Functions 12.3 Arc Length and Curvature of Space Curves 12.4 Cylindrical & Spherical Coordinate Systems in 3D

13.0 Introduction to Functions of Several Variables 13.1 Functions of Two or More Variables 13.2 Limits and Continuity 13.3 Partial Derivatives 13.4 Tangent Planes and Differentials 13.5 Directional Derivatives and the Gradient 13.6 Maximums and Minimums 13.7 Lagrange Multiplier Method

14.1 Double Integrals over Rectangular Domains 14.2 Double Integrals over General Domains

Questions / Questions / DiscussionDiscussionWhat would make you want to use one of

these OCL courses?

What kind of course supplement materials are important to you?

How important is the book itself? Could videos, Powerpoints / lecture notes, worked out examples, exercise sets suffice?