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S tatistics L iberal A rts M ath

S tatistics L iberal A rts M ath. Pasadena City College. Motivation & History. Current Curriculum. CALCULUS. Does the curriculum serve our population?. Create a new track for SLAM. Completion. Backwards Design What math does a SLAM student need?. Statistics. Quantitative Literacy 1.

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S tatistics L iberal A rts M ath

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  1. Statistics Liberal Arts Math • Pasadena City College

  2. Motivation & History

  3. Current Curriculum CALCULUS

  4. Does the curriculum serve our population?

  5. Create a new track for SLAM Completion

  6. Backwards DesignWhat math does a SLAMstudent need? Statistics Quantitative Literacy 1 Quantitative Literacy 2 Liberal Arts Math Real Life

  7. STEM Track Beginning Algebra Quantitative Literacy 1 Liberal Arts Math Intermediate Algebra Quantitative Literacy 2 Statistics SLAMvs. STEM

  8. Creating Learning Experiences • Discovery-based activities • Using Manipulativesto understand mathematical ideas • Excel Labs to both explore concepts and analyze data • Projects • Tracking Expenses • Stock Project • Home Buying Project

  9. Created our own course materials

  10. QL2: Course Content

  11. Statistics • Measures of Center and Weighted Mean • Measuring Spread • Graphical Representations of Data • Correlation and Estimating the Best-fit Line

  12. Finance • Simple vs Compound Interest • Payday Loans • Credit Cards • Annuities • Amortized Loans • Student Loans • Home Loans

  13. Probability • Events, Simple Events, Combining sets • Counting – Fundamental Counting Principle, nPr, nCr • Two Way Frequency Tables • Expected Value

  14. Geometry • Areas of Rectangles, Triangles, Parallelograms, and Trapezoids discovery-based activity • Investigating the effects on Perimeter, Area, and Volume when changing edge length • Fermi Problem (estimation)

  15. Fermi Problem

  16. Science • Solving Literal Equations • Units and Dimensional Analysis • Absolute vs Percent Error • Linear, Exponential, and Logarithmic functions & rates of growth • Scientific Notation and Sig Figs • Variation

  17. Standard Algebra Content Excluded Quadratics & Polynomials Rational Expressions Factoring Matrices & Linear Systems

  18. QL1: Content and Approach

  19. Similar Content to a Standard Prealgebra class (but better) Old and out of date New and hot!

  20. Content • Patterns • Integers • Fractions • Decimals • Percent • Graphing and Lines

  21. Contextualized

  22. Experiential/Activity-based Less lecturing More of students doing math

  23. Lots of Manipulatives

  24. Solving Word Problems Everyday

  25. Discovery-based Learning

  26. Metacognition and Affective Domain

  27. Critical Thinking

  28. Student Comments • “This thing is hard, but I love it!” • “It seems like I’m learning the same stuff in a regular class, but I actually see how it’s useful.” • “I’m SOOOOO glad that PCC has finally realized that we are all individuals and that we learn differently.” • “This is more than math, this is real life!” • “F**K ME, I GOT IT!!!”

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