Course Description
This is a course designed to prepare students for Intermediate Algebra (Math 1215). Students will gain fluency with percentages, positive and negative numbers, equations, linear relationships, exponents, polynomials, and geometry. Students will be able to apply these concepts to real-world applications.
Modules
- Percentages
- Rational Numbers and Equations
- Linear Relationships
- Exponents and Polynomials
- Geometry
Learning Outcomes by Module
Module 1
- I can represent a quantity as a percentage, fraction, and decimal.
- I can solve basic percent problems using a variety of methods/representations.
- I can solve real-world percent problems.
- I can calculate percent increase/decrease.
Module 2
- I can use positive and negative numbers to represent real-world situations.
- I can add, subtract, multiply, and divide with positive and negative numbers.
- I can solve equations using additive and multiplicative inverses.
- I can solve equations of the form a(b+x)=c using the distributive method and the division method, and I can decide when to use which method.
- I can solve equations using positive and negative numbers.
Module 3
- I can represent a relationship between two variables using a table, a graph, or an equation.
- I can use a linear equation to answer questions about variables in context.
- I can describe the slope and y-intercept of a linear equation in context.
- I can graph a line based on an equation and determine a line’s equation based on its graph.
- I can determine the slope of a line from a graph or two coordinate points.
Module 4
- Given an exponential function that represents a real-world situation, I can describe the base and the exponent in context.
- I can represent an exponential relationship between two variables using a table, a graph, or an equation.
- I can use the properties of exponents to simplify monomials.
- I can add and subtract polynomials.
- I can use scientific notation to represent very large and small numbers.
Module 5
- I can calculate the area of rectangles, triangles, and circles, or their combination, using correct units.
- I can calculate the perimeter of rectangles, triangles, and circles, or their combination, using correct units.
- I can calculate the surface area of rectangular solids and cylinders, using correct units.
- I can calculate the volume of rectangular solids and cylinders, using correct units.