Algebra II
Recommended Prerequisite: Algebra I & Geometry
Grades Offered: 9-12
Credit: 1/2-1
SDE Course Code: 3103
MNPS Course Code: MTH4311
Course Description:
Algebra II builds on the concepts learned in Algebra I by extending the concepts of complex inequalities and equations, functions, and Analytical Geometry.
Outline of Content:
· The student will recognize, order, represent, and apply real numbers and operations verbally, physically, symbolically, and graphically and will demonstrate an understanding of properties and operations of the complex number system.
° Demonstrating an understanding of the subsets, elements, properties, and operations of the complex number system.
° Connecting physical, graphical, verbal, and symbolic representations of real numbers.
° Articulating, modeling, and applying the concept of inverse.
° Describing, modeling, and applying inverse operations.
° Connecting physical, graphical, verbal, and symbolic representations of absolute value.
° Using a variety of notations appropriately.
· The student will apply appropriate tools and units of measurement; develop effective estimation and computation; and calculate using appropriate tools such as mental mathematics, technology, manipulatives, and pendil-and-paper.
° Using estimation to make predictions and determine the reasonableness of results.
° Selecting and applying appropriate methods for computing with real numbers, and evaluate the reasonableness of results.
° Applying measurement concepts and relationships in algebraic and geometric problem-solving situations.
° Using matrices in real-world problem solving.
° Performing operations on algebraic expressions and informally justifying the procedures chosen.
· The student will describe, extend, analyze, and create a variety of patterns and functions with appropriate materials and representations in real-world problem solving, and will demonstrate an understanding of the behavior of a variety of functions and their graphs.
° Analyzing mathematical patterns related to algebra and geometry in real-world problem solving.
° Using algebraic thinking to generalize a pattern by expressing the pattern in functional notation.
° Solving linear systems using a variety of techniques, including matrices.
° Communicating the meaning of variables in algebraic expressions, equations, and inequalities.
° Applying the concept of rate of change.
° Identifying and representing a variety of functions.
° Analyzing graphs to describe the behavior of functions.
° Identifying and describing the characteristics of families of functions.
° Articulating the results of varying parameters of a parent function.
° Demonstrating the understanding of the behavior of quadratic, exponential, periodic, and logarithmic functions and their graphs.
° Interpreting results of algebraic procedures.
° Applying the concepts of variable in simplifying algebraic expressions, solving equations, and solving inequalities.
° Interpreting graphs that depict real-world phenomena.
° Modeling real-world phenomena using functions and graphs.
° Describing the domain and range of functions and articulating restrictions imposed either by the operations or by the real-life situations that the functions represent.
° Using linear programming to solve real-world problems.
· The student will collect, organize, represent, and interpret data; make and evaluate inferences and predictions; present and evaluate arguments based on data analysis; and model situations to determine theoretical and experimental probabilities.
° Applying the Law of Large Numbers and the concept of randomness in sampling.
° Applying appropriate technology in data collection and analysis.
° Applying counting principles of permutations and combinations using appropriate technology.
° Applying theoretical and experimental probability to analyze the likelihood of an event.
° Collecting, representing and describing linear and nonlinear data sets developed in the real world.
° Making predictions from a data set using curve fitting with appropriate technology.
° Making inferences about a data set using appropriate measures of central tendency and dispersion.
° Describing and applying the normal distribution and its properties.
° Identifying mutually exclusive and non-mutually exclusive events.
° Analyzing the probability of dependent events and of independent events.
° Using simulations to estimate probability.
° Choosing, constructing, and analyzing appropriate graphical representations for a data set.
° Analyzing the validity of statistical conclusions and the use, misuse, and abuse of data.
· The student will investigate, model, and apply geometric properties and relationships.
° Applying geometric properties, formulas, and relationships to solve real-world problems.
° Justifying conclusions using deductive reasoning.
° Using inductive reasoning to make conjectures.
° Communicating position using spatial sense of two- and three-dimensional coordinate systems.
Reading: The student will develop appropriate reading strategies for understanding mathematical texts as well as a variety of sources including maps, charts, graphs, and technical writings.
Writing: The student will write regularly using correct mathematical symbols and terminology. Suggested written assignments include: descriptions, comparisons, and logically ordered processes.
Standards Links:
MNPS Standards:
http://www.mnps.org/PageFactory.aspx?PageID=3403
State Standards:
http://www.state.tn.us/education/ci/cistandards2001/math/cimath.htm
Textbooks:
Holliday, et al, Glencoe Algebra II, 1st Edition, 2005, Glencoe (basal)
Online Textbook Activities:
http://www.glencoe.com/sec/math/algebra/algebra2/algebra2_05/
Recommended and/or Required Resources:
TI 83+ Graphing Calculator/ TI-84+ Graphing Calculator
CBR2 or CBL2 with probes
A variety of manipulatives: graph paper, rulers, protractors, two-color counters, fraction bars, centimeter cubes or linking cubes, geoboards, miras, pattern blocks, algebra tiles, meter sticks, etc.