Course Objectives
Students will be able to:
1. solve linear and quadratic equations and inequalities and systems of equations and inequalities.
2. identify relations and functions and their graphs and transformations and explain their properties (this includes polynomial, rational, exponential and logarithmic functions).
3. perform operations with exponents, roots, radicals, polynomials, and matrices.
4. identify and write equations for conic sections (circle, ellipse, hyperbola and parabola) and identify their properties.
5. use measures of central tendency and the normal curve to describe sets of data.
6. use the counting principle, permutations and combinations to determine the number of ways an event can happen; calculate the probability of an event.
7. use trigonometric functions to solve real-world problems.
8. use all concepts to model problems.
Course Features
- Lecture 0
- Quiz 0
- Duration 10 weeks
- Skill level All levels
- Language English
- Students 0
- Certificate No
- Assessments Yes
- 10 Sections
- 0 Lessons
- 10 Weeks
- Unit 1: Equations and InequalitiesUnit Goal(s): Students will be able to evaluate and simplify numerical and algebraic expressions, solve linear and absolute value equations and inequalities, and use algebra to model and solve real-life problems.0
- Unit 2: Linear Equations and FunctionsUnit Goal(s): Students will be able to graph relations, functions (including piecewise), equations and inequalities in 2 variables and absolute value functions, write equations of lines and solve real-life problems using graphs and equations.0
- Unit 3: Systems of Linear Equations and InequalitiesUnit Goal(s): Students will be able to write and solve linear systems in 2 or 3 variables by graphing and algebraic methods and apply to real-life problems.0
- Unit 4: Matrices and DeterminantsUnit Goal(s): Students will be able to add, subtract, and multiply matrices and solve linear systems using inverse matrices and technology.0
- Unit 5: Quadratic FunctionsUnit Goal(s): Students will be able to solve quadratic equations using a variety of methods and graph quadratic functions and inequalities.0
- Unit 6: Polynomials and Polynomial FunctionsUnit Goal(s): Students will be able to perform operations on polynomial functions and solve polynomial equations. They will know how to evaluate, graph, and find zeros of polynomial functions.0
- Unit 7: Powers, Roots, and RadicalsUnit Goal(s): Students will be able to find and use rational exponents and nth roots, perform operations with and find inverses of functions, and graph radical functions and solve radical equations.0
- Unit 8: Exponential and Logarithmic FunctionsUnit Goal(s): Students will be able to graph and use exponential, logarithmic and logistic growth functions. They will be able to use the number e and the definition and properties of logs, and solve exponential and logarithmic equations.0
- Unit 9: Rational Equations and FunctionsUnit Goal(s): Students will be able to: simplify and perform operations with rational expressions. Students will know how to graph rational functions and solve rational equations. Students will be able to use variation models and rational models in real-life situations.0
- Unit 10: Quadratic Relations and Conic sectionsUnit Goal(s): Students will be able to use the distance and midpoint formulas. Students will classify conics and graph and write equations of conics. Students will be able to solve a system of quadratic equations.0
