Course/Grade Levels Units

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  • Course Code
    Content Area
    This accelerated course is recommended for the college-bound student who intends to follow a math-related curriculum.  In addition to the topics taught in Algebra 2, this course builds on the student’s previous work with trigonometric ratios, uses the coordinate plane to extend trigonometry to model periodic phenomena, and utilizes properties of the unit circle and trigonometric identities to solve problems. 

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Unit Description
HALG201Linear and Absolute Value Equations and Inequalities
Students will solve and graph linear and absolute value equations and inequalities.
HALG202Rational Exponents and Radicals
Students will simplify expressions using properties of rational exponents and solve equations containing radicals and rational exponents.
HALG203Fundamentals of Functions
Students will graph various types of functions by hand and with technology, determine the domain and range of functions by analyzing the graph and find the inverse of functions (algebraically for linear functions and graphically for all others).
HALG204Trigonometry – Unit Circle
The student will explore the unit circle to define the 6 trig functions and how it correlates to the special right triangles.  They will understand the relationship between degree and radian measure, evaluate the 6 trip functions and find the angle for a given trig ratio.
HALG205Graphing Trigonometric Functions
The student will graph the six parent trig functions, apply transformations to the sine, cosine, and tangent graphs and write trig equations that model periodic phenomena.
HALG206Quadratic and Complex Numbers
The student will solve and graph quadratic equations using various methods when solutions are real and complex. They will also recognize i2  = -1, a + bi is a complex number, and be able to simplify complex expressions.

HALG207Polynomial Functions
Students will perform arithmetic operations (addition, subtraction and multiplication) with polynomials beyond quadratic. They will use synthetic division and factoring to find zeros and understand the relationship between zeros and factors to sketch rough graphs of different polynomial functions.
HALG208Data analysis and Statistics
The student will develop strategies for analyzing data that are collected from the result of an experiment or survey. They will calculate z-scores and find the associated probabilities from a standard normal table.
HALG209Solving and Proving with Trig Identities
The student will solve trigonometric equations including those arising from real-world context. They will use various identities to solve trig equations and complete trig proofs.
HALG210Exponential and Logarithmic Functions
Students will define and evaluate logarithms, using the properties of logarithms and the change-of-base formula. They will solve and graph exponential and logarithmic functions and use them to model real-world data.
HALG211Rational Expressions and Equations
Students will simplify rational expressions. They will solve and graph rational equations and inequalities.
HALG212Building and Analyzing Functions
Students will create and analyze functions given different scenarios and constraints. Students will rely on information learned in preceding units.