Below are the class descriptions for the courses that I teach.
All course are set up as a flipped, self-paced classroom. This means that lessons will be provided via 5-20 minute videos, created by Ms. Krueger. These videos follow the layout of your textbook. These videos should be watched as "homework," so students are prepared to work through activities and worksheets during face-to-face time with Ms. Krueger. Self-paced means that all students will be at different places within the curriculum. Students can take their time on material that is difficult to them, and move through curriculum they understand more quickly. The teacher will no longer dictate where exactly students need to be throughout the year. Students will be able to complete the curriculum early, or later. However, students will receive only 1 credit for the curriculum. Time has been removed from the typical equation for how students receive a credit. Any questions, feel free to contact Ms. Krueger at any time!
Algebra 1
Algebra is the study of the use of basic operations on rational expression. The subject matter includes a study of polynomials, exponents, radicals, factoring, inequalities, and the solution of linear, quadratic, and simultaneous equations. Problem solving will be stressed throughout the course.
This course requires students to:
• Master basic algebra skills and concepts
• Work with integers and rational numbers
• Solve equations including regular equations
• Solve word problems
• Solve inequalities and graph the results
• Work with exponents and polynomials
• Perform operations on Polynomials - factoring will be a major skill
• Solve linear equations and graph them according to y=mx + b
• Use several methods to solve a system of equations with two variables
• Apply radical expressions to equations
• Work with relations, functions, and different types of variations to solve problems
• Apply the quadratic formula to solve more complex equations
Intermediate Algebra with Applications
Intermediate Algebra with Applications is a college-level course that involves number relations and its use. Based on the principles in arithmetic that you have already learned, Intermediate Algebra uses symbols to create generic solutions that work in a variety of cases. In this class, you will learn how to use these rules to solve equations. You will also learn how to graph both straight lines and parabolas. You will also learn that there are different types of graphs based on the type of equation you are using. We will also cover some more advanced topics of Algebra, such as solving systems, matrices, exponents and logarithms.
This course requires students to:
• Master basic algebra skills and concepts
• Solve equations including regular equations
• Solve inequalities and graph the results
• Work with exponents and polynomials
• Perform operations on Polynomials - factoring will be a major skill
• Use several methods to solve a system of equations with two variables
• Apply radical expressions to equations
• Apply the quadratic formula to solve more complex equations
• Systems of Linear Equations and Inequalities
• Quadratic Functions
• Polynomials and polynomial Functions
• Powers Roots and Radicals
• Rational Equations and Functions
College Algebra with Applications
College Algebra with Applications is a college-level course that involves number relations and its use. College Algebra, along with an Algebra 1 or Intermediate Algebra course, provides a solid foundation to higher mathematics courses, such as Pre-Calculus and Calculus. College Algebra provides an extension of the concepts you learned in Algebra 1 or Intermediate Algebra. Further, College Algebra brings mathematics to life with many real-life applications. Topics covered will include operations with real numbers, systems of linear equations and inequalities Matrices, factoring, quadratic functions, and work with exponential functions, complex numbers, conic sections, logarithms, and probability and statistics.
Students taking this class will work with:
• Equations and Inequalities
• Linear Equations and Functions
• Systems of Linear Equations and Inequalities
• Quadratic Functions
• Polynomials and polynomial Functions
• Powers Roots and Radicals
• Exponential and Logarithmic Functions
• Rational Equations and Functions
• Quadratic Relations and Conic Sections
• Matrices
• Trigonometric Ratios & Functions, Graphs & Equations
• Probability and Statistics
STEAM (Science, Technology, Engineering, Art, and Math)
This is a blended project-based learning course that includes math applications to science, technology, art, and engineering study (STEAM) and is appropriate for students interested in careers, such as welding, building and trades; mechanical design and engineering; and digital design and visual media. Students will create, design, and build various products to demonstrate their learning. Students interested in pursuing these areas of interest and/or career fields and who are interested in a block course that allows for inquiry-based, student-directed, and self-paced learning will excel in this course.
Algebra 1
Algebra is the study of the use of basic operations on rational expression. The subject matter includes a study of polynomials, exponents, radicals, factoring, inequalities, and the solution of linear, quadratic, and simultaneous equations. Problem solving will be stressed throughout the course.
This course requires students to:
• Master basic algebra skills and concepts
• Work with integers and rational numbers
• Solve equations including regular equations
• Solve word problems
• Solve inequalities and graph the results
• Work with exponents and polynomials
• Perform operations on Polynomials - factoring will be a major skill
• Solve linear equations and graph them according to y=mx + b
• Use several methods to solve a system of equations with two variables
• Apply radical expressions to equations
• Work with relations, functions, and different types of variations to solve problems
• Apply the quadratic formula to solve more complex equations
Intermediate Algebra with Applications
Intermediate Algebra with Applications is a college-level course that involves number relations and its use. Based on the principles in arithmetic that you have already learned, Intermediate Algebra uses symbols to create generic solutions that work in a variety of cases. In this class, you will learn how to use these rules to solve equations. You will also learn how to graph both straight lines and parabolas. You will also learn that there are different types of graphs based on the type of equation you are using. We will also cover some more advanced topics of Algebra, such as solving systems, matrices, exponents and logarithms.
This course requires students to:
• Master basic algebra skills and concepts
• Solve equations including regular equations
• Solve inequalities and graph the results
• Work with exponents and polynomials
• Perform operations on Polynomials - factoring will be a major skill
• Use several methods to solve a system of equations with two variables
• Apply radical expressions to equations
• Apply the quadratic formula to solve more complex equations
• Systems of Linear Equations and Inequalities
• Quadratic Functions
• Polynomials and polynomial Functions
• Powers Roots and Radicals
• Rational Equations and Functions
College Algebra with Applications
College Algebra with Applications is a college-level course that involves number relations and its use. College Algebra, along with an Algebra 1 or Intermediate Algebra course, provides a solid foundation to higher mathematics courses, such as Pre-Calculus and Calculus. College Algebra provides an extension of the concepts you learned in Algebra 1 or Intermediate Algebra. Further, College Algebra brings mathematics to life with many real-life applications. Topics covered will include operations with real numbers, systems of linear equations and inequalities Matrices, factoring, quadratic functions, and work with exponential functions, complex numbers, conic sections, logarithms, and probability and statistics.
Students taking this class will work with:
• Equations and Inequalities
• Linear Equations and Functions
• Systems of Linear Equations and Inequalities
• Quadratic Functions
• Polynomials and polynomial Functions
• Powers Roots and Radicals
• Exponential and Logarithmic Functions
• Rational Equations and Functions
• Quadratic Relations and Conic Sections
• Matrices
• Trigonometric Ratios & Functions, Graphs & Equations
• Probability and Statistics
STEAM (Science, Technology, Engineering, Art, and Math)
This is a blended project-based learning course that includes math applications to science, technology, art, and engineering study (STEAM) and is appropriate for students interested in careers, such as welding, building and trades; mechanical design and engineering; and digital design and visual media. Students will create, design, and build various products to demonstrate their learning. Students interested in pursuing these areas of interest and/or career fields and who are interested in a block course that allows for inquiry-based, student-directed, and self-paced learning will excel in this course.