Algebra 2
Course Description: This course builds on work covered in previous algebra and geometry classes. Students will study
linear and nonlinear functions (quadratic, exponential, logarithmic, and trigonometric), graphing, sequences (arithmetic and
geometric), direct and indirect variations, matrices and their applications, systems of equations and inequalities, inverses and
radicals, basic trigonometry, and polynomials. Problem solving is emphasized throughout, along with applications to real
world problems. Additionally, many topics will be explored at the theoretical level. The appropriate use of technology will be
stressed throughout the course. The mathematics covered in Algebra 2 is considered to be the minimum level of
mathematics for success in college work. Materials needed: ruler, graph paper and a graphics calculator is required. This
course does meet Qualified Admissions requirements for math.
Prerequisite: Geometry Grade Level(s): 9-12
Grade Level/Course Standards:
1. The student will learn to apply functions to various real life situations.
2. The student will recognize and solve variation problems using algebra.
3. The student will identify problems involving linear relationships, determine and apply methods to solve the
problem.
4. The student will use matrices to solve problems from an algebraic as well as a geometric perspective.
5. The student will identify situations involving two or more unknowns and solve problems using systems of
equations and/or inequalities.
6. The student will identify, analyze, and solve problems regarding quadratic relationships.
7. The student will recognize problems involving powers and apply correct techniques to solve them.
8. The student will identify and solve problems involving radicals using rational exponents as well as radical
notation.
9. The student will identify exponential situations, create functions describing the relationship and use to solve
problems.
Algebra 2
Algebra 2 Assist
Course Description: This course will cover the same standards as Algebra 2. Class size will be limited to 10-15 students.
Students will be placed in Algebra 2 Assist based on grades, test scores and teacher recommendation. Emphasis is placed
on interactive, hands-on instructional strategies used to solve real-world application problems. Materials needed: ruler,
compass, protractor, scientific calculator (preferably with a fraction key). This class does not meet Qualified Admissions
requirements for math and does not count as a math graduation requirement.
Prerequisite: Concurrent Enrollment in Algebra 2 Grade Level(s): 9-12
Teacher recommendation
Grade Level/Course Standards:
1. The student will learn to apply functions to various real life situations.
2. The student will recognize and solve variation problems using algebra.
3. The student will identify problems involving linear relationships, determine and apply methods to solve the
problem.
4. The student will use matrices to solve problems from an algebraic as well as a geometric perspective.
5. The student will identify situations involving two or more unknowns and solve problems using systems of
equations and/or inequalities.
6. The student will identify, analyze, and solve problems regarding quadratic relationships.
7. The student will recognize problems involving powers and apply correct techniques to solve them.
8. The student will identify and solve problems involving radicals using rational exponents as well as radical
notation.
9. The student will identify exponential situations, create functions describing the relationship and use to solve
problems.
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Algebra 2
Course: Algebra 2 High School
Standard 1: The student will learn to apply functions to various real life situations.
Student Indicators Instructional Examples/Resources
The Student Will…
1. identify whether a graph, t-table, or equation
representing a relationship is a function.
2. apply proper Euler notation.
3. graph functions.
4. solve linear equations
5. create explicit and recursive formulas to describe
patterns.
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Algebra 2
Course: Algebra 2 High School
Standard 2: The student will recognize and solve variation problems using algebra.
Student Indicators Instructional Examples/Resources
The Student Will…
1. identify the following types of variations within
problems: direct, inverse, combined, and joint.
2. create equations representing each of the
aforementioned variation types.
3. solve variation problems.
4. apply the Fundamental Theorem of Variation.
5. graph each type of variation that involves two
variables.
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Algebra 2
Course: Algebra 2 High School
Standard 3: The student will identify problems involving linear relationships, determine and apply methods to solve
the problem.
Student Indicators Instructional Examples/Resources
The Student Will …
1. understand the meaning of linear from various
perspectives such as graphically, table form, and
equations.
2. graph linear relationship from one of following forms: t-
table, equation, or written description.
3. put equation in slope-intercept form.
4. identify slope and y-intercept.
5. find equation of line given point and slope.
6. find equation of line given slope and y-intercept.
7. find equation of line given two points on the line.
8. find explicit and recursive formulas for arithmetic
sequences.
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Algebra 2
Course: Algebra 2 High School
Standard 4: The student will use matrices to solve problems from an algebraic as well as a geometric perspective.
Student Indicators Instructional Examples/Resources
The Student Will…
1. learn notation and terminology associated with
matrices.
2. add matrices.
3. multiply matrices.
4. perform geometric translations.
5. perform geometric rotations.
6. perform size and scale changes.
7. perform reflections.
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N indicates item assessed with no calculator allowed
Algebra 2
Course: Algebra 2 High School
Standard 5: The student will identify situations involving two or more unknowns and solve problems using systems
of equations and/or inequalities.
Student Indicators Instructional Examples/Resources
The Student Will…
1. create inequalities describing situations.
2. solve inequalities.
3. identify situations where systems are needed.
4. create systems of equations.
5. solve systems of linear equations using substitution,
linear combination, and matrices method.
6. graph systems of inequalities.
7. apply linear programming technique to optimization
problems.
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N indicates item assessed with no calculator allowed
Algebra 2
Course: Algebra 2 High School
Standard 6: The student will identify, analyze, and solve problems regarding quadratic relationships.
Student Indicators Instructional Examples/Resources
The Student Will…
1. create quadratic expressions for area of various
shapes.
2. write quadratic equations in y=ax2+bx+c form.
3. complete the square and identify vertex and line of
symmetry.
4. introduce and intuitively understand the development
of the quadratic formula.
5. use quadratic formula to find exact solutions of
quadratic equations.
6. add/multiply/subtract/divide complex numbers.
7. solve quadratic equations with complex solutions and
connect to corresponding graph.
8. identify situations involving non-linear patterns and
determine if quadratic.
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Algebra 2
Course: Algebra 2 High School
Standard 7: The student will recognize problems involving powers and apply correct techniques to solve them.
Student Indicators Instructional Examples/Resources
The Student Will…
1. learn the definition of a power function.
2. graph a power function.
3. learn properties of exponents within the set of rational
exponents.
4. develop explicit and recursive formulas for geometric
sequences.
5. solve power equations graphically and algebraically.
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N indicates item assessed with no calculator allowed
Algebra 2
Course: Algebra 2 High School
Standard 8: The student will identify and solve problems involving radicals using rational exponents as well as
radical notation.
Student Indicators Instructional Examples/Resources
The Student Will…
1. find the composite of two functions.
2. find the inverse of a function.
3. learn radical notation and connectivity to exponents.
4. find the product and/or quotient of expressions
involving radicals.
5. solve equations with radicals using both radical and
exponent notation.
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Algebra 2
Course: Algebra 2 High School
Standard 9: The student will identify exponential situations, create function describing the relationship and use to
solve problems.
Student Indicators Instructional Examples/Resources
The Student Will…
1 learn the definition of exponential relationship.
1. create exponential functions.
2. use functions to solve growth and decay problems
graphically.
3. use logarithms with any allowable base to find exact
solutions.
4. apply continuous growth model to solve problems.
5. compare and contrast graphs of exponential and
logarithmic functions.
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Algebra 2
Page 12 of 12
▲ indicates state assessed item
N indicates item assessed with no calculator allowed