MATH031

To provide needed just-in-time mathematical support to students who have not met the prerequisite for course

1. Arithmetic

   1. Add, subtract, multiply or divide fractions.

   2. Add, subtract, multiply or divide integers and other signed numbers.

   3. Apply whole number exponent rules.

   4. Use exponent rules with negative exponents.

   5. Use the order of operations.

   6. Convert between scientific and standard notation.

   7. Multiply and divide numbers written in scientific notation.

   8. Find the approximate square root of a number using a calculator.

   9. Find the square roots of the first few perfect square whole numbers without a calculator.

2. Algebra

   1. Differentiate between variables and constants.

   2. Apply whole number exponent rules.

   3. Use exponent rules with negative exponents.

   4. Apply the commutative and associative properties.

   5. Apply the distributive property.

   6. Simplify algebraic expressions by distributing and combining like terms.

   7. Write equations to model linear situations.

   8. Write equations to model exponential situations.

   9. Evaluate formulas with values given for the independent variables.

   10. Verify a solution to an equation.

   11. Solve linear equations in one variable analytically.

3. Graphs and graphing

   1. Interpret or create a scatterplot.

   2. Plot points in the Cartesian coordinate system.

   3. Find the slope of a line given two points or the graph.

   4. Write the equation of a line in slope-intercept form.

   5. Find the y-intercept of a linear graph given the graph or the equation of the graph.

   6. Interpret the slope as a rate in applied problems.

   7. Graph a line using either a table of values or the slope and y-intercept.

4. Geometry

   1. Apply formulas to find area and volume.

   2. Explain the difference between length, area and volume.

   3. Use the Pythagorean Theorem to solve problems about right triangles.

   4. Use the Pythagorean Theorem or the distance formula to find the distance between two points.

5. Proportion

   1. Increase or decrease a number by a percentage.

   2. Calculate percent of increase or decrease.

   3. Solve percent problems.

   4. Write and solve proportions.

   5. Solve problems using proportions.

   6. Calculate a rate or unit rate.

6. Statistics

   1. Calculate a median.

   2. Calculate a mean.

   3. Determine whether a median or mean better supports an argument based on data.

   4. Calculate a standard deviation.