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Enhancing UPR-Mayaguez Web Tools to Reduce Failure and Withdrawal Rates in Pre-Calculus and Calculus Courses |
PR-LSAMP sponsored the development of additional to enhance UPR-Mayaguez web tool to reduce withdrawal and failure rates in Pre-Calculus and Calculus Courses. The new materials can be seen at http://quiz.uprm.edu/tutorials.
The first tutorial of the project concerns inequalities. After using this tutorial, students will be able to:
Define the set of points that satisfy inequalities.
Identify and use properties of inequalities
Recognize and test solution sets for inequalities with Unknown Variables.
Solve Inequalities.
The second tutorial concerns the laws of exponents. After using this tutorial, students will be able to:
Understand and use exponential notation.
Identify and apply the Laws of Exponents.
Simplify Products of Exponential Expressions with the Same Base.
Simplify Quotients of Exponential Expressions with the Same Base.
Evaluate expressions with Zero Exponents.
Understand, simplify and use expressions with negative exponents.
Understand, simplify and use expressions with exponents raised to a power.
Understand, simplify and use expressions with products raised to a power.
Understand, simplify and use expressions with quotients raised to a power.
Simplify complex expressions containing positive and negative exponents.
The third tutorial was on Polynomials. After using this tutorial, students will be able to:
Identify expressions that are polynomials.
Identify, the order, leading coefficient and constant associated with a polynomial.
Add or Subtract polynomials (multiplication is done in another tutorial).
The fourth tutorial was on factorizing quadratic expressions. After using this tutorial, students will be able to:
Factorize quadratic expressions with leading coefficient equal to 1.
Factorize quadratic expressions with leading coefficient not equal to 1.
The fifth tutorial was on order of operations. After using this tutorial, students will be able to:
Correctly implement orders of operations to simplify arithmetic expressions.
Correctly implement orders of operations to simplify arithmetic expressions with parentheses.
Correctly implement orders of operations to simplify arithmetic expressions with nested parentheses.
The sixth tutorial is on Scientific Notation. After using this tutorial, students will be able to:
Understand the motivation for scientific notation.
Convert numbers in standard form to numbers in scientific notation.
Convert numbers in scientific notation to numbers in standard form.
The seventh tutorial is on rational expressions. After using this tutorial, students will be able to:
Understand the definition of rational expressions.
Identify rational expressions.
Simplify rational expressions.
Add rational expressions.
Subtract rational expressions.
Multiply rational expressions.
Divide rational expressions.
The eighth tutorial concerns the laws of fractional exponents. After using this tutorial, students will be able to:
Understand the relationship between exponential notation with fractions and expressions in radical form.
Simplify expressions with fractional exponents when the numerator is 1.
Simplify expressions with fractional exponents when the numerator is not 1.
The ninth, tenth and eleventh tutorials concern solving linear expressions. After using this tutorial, students will be able to:
Perform basic operations on both sides of equalities.
Identify the necessary operations to isolate the variable in two step linear equations.
Solve two step linear equations.
Identify the necessary operations to isolate the variable in linear equations when the variable occurs on both sides of the equal sigh.
Solve linear equations with the variable appearing on both sides of the equal sign.
Distribute linear equations with parentheses.
Solve linear equations with parentheses.
Solve linear equations with fractions
Solve any linear equation of any kind that may occur.
The twelfth tutorial is on midpoints: After using this tutorial, students will be able to:
Identify geometrically the midpoint on a line between two points.
Obtain algebraically the midpoint on a line between two points.
Understand the geometric justification for the algebraic formula for the midpoint on a line between two points.
