Algebra 2A
MA.10.V2Algebra2ATF.Bnet4copy
In this course students will continue their study and exploration of Algebra concepts. The course will cover solving linear equations, graphing linear equations, systems of equations, matrices, and an introduction to quadratics. Students are provided opportunities to communicate and explore the concepts both through projects and traditional assessments. This course is designed to be used as the first part of in an Algebra II curriculum.
Enduring Understanding
The student will understand:
- Equations can be used to model real-world applications
- Technology can be used to solve many algebraic applications
- Equations can be grouped as linear, quadratic, exponential, logarithmic, or rational
- Graphs can be used to make predictions based on given data
- There are numerous ways to graph and to write linear equations.
- Systems of equations can be solved to find intersection points and to solve real-world applications
- Sometimes matrices are useful for solving systems
- Quadratic equations can be solved numerous ways.
Essential Questions
- How can a study of basic algebraic principles lead to the solving of more complex equations?
- When confronted with formulas from other disciplines, how can algebra be used to make solving easier?
- What is the best method for graphing linear equations?
- What kind of predications can be made from the graphing of data?
- How do equations help to model experiments and data collected from other fields of study?
- How has technology enhanced and distracted from learning how to graph lines?
- How do you determine the best method for solving systems of equations and inequalities?
- How is the study of systems of equations relevant to a business setting?
- Is the study of matrices still relevant to solving systems of equations?
- What is the best method for solving quadratic equations?
- How can quadratic equations be used to model scientific principles, especially in physics?
Additional Resources Needed
The following materials will be necessary in order to complete this course:
Notebook
Scientific Calculator
Graphing Calculator— preferable a TI-83 or TI-84. (If one is not available, use the Internet Links tab in Unit Two to find an online version.)
Journal
High School Algebra 2 text for reference (optional)
Microphone for sending voice emails and for communication
Technology
Technology Requirements
Adobe Reader
Adobe Flash Player
Adobe Shockwave Player
Quicktime
Java
Media Player
Content Topics
Unit 1
Linear Equations and Inequalities
Unit 2
Functions, Equations, and Graphs
Unit 3
Linear Systems
Unit 4
Matrices
Unit 5
Quadratic Functions
Key Skills
- Note Taking
- Reading Comprehension
- Basic Knowledge of Algebra I
- Reading/Interpreting Graphs
- Application/Synthesis
- Use of the Graphing Calculator
- Diagramming
- Logical Reasoning
Assessments
- Homework Assignments
- Tests & Quizzes
- Vocabulary
- Posters
- Projects
- Graphing Calculator Activities
- Labs
- Discussion Boards
Standards Alignment:
PA State Standards:
2.1.11.A: Use operations (opposite, reciprocal, absolute value, raising to a power, finding roots, finding logarithms)
2.2.11.C: Construct & apply mathematical models, including lines and curves of best fit, to estimate values of related quantities
2.2.11.F: Demonstrate skills for using computer spreadsheets and scientific and graphing calculators
2.4.11.E: Demonstrate mathematical solutions to problems
2.6.11.C: Determine the regression equation of best fit
2.8.11.A: Analyze a given set of data for the existence of a pattern and represent the pattern algebraically and graphically
2.8.11.C: Use patterns, sequences and series to solve routine and non-routine problems.
2.8.11.D: Formulate expressions, equations, inequalities, systems of inequalities and matrices to model routine and non-routine problem situations
2.8.11.E: Use equations to represent curves
2.8.11.G: Analyze and explain systems of equations, systems of inequalities and matrices
2.8.11.H: Select and use an appropriate strategy to solve systems of equations and inequalities using graphing calculators
2.8.11.I: Use matrices to organize and manipulate data, including matrix addition, subtraction, multiplication and scalar multiplication
2.8.11.K: Select, justify and apply an appropriate technique to graph a linear function in two variables
2.8.11.L: Write the equation of a line when given the graph of the line, two points on the line, or the slope of the line and a points on the line
2.8.11.M: Given a set of data points, write an equation for a line of best fit
2.8.11.N: Solve linear, quadratic and exponential equations both symbolically and graphically.
2.8.11.O: Determine the domain and range of a relation, given a graph or set of ordered pairs
2.8.11.Q: Represent functional relationships in tables, charts and graphs
2.8.11.R: Create and interpret functional models
2.8.11.S: Analyze properties and relationships of functions
2.8.11.T: Analyze and categorize functions by their characteristics
