College Algebra

Concepts / Competencies / Assessment / Standards
Algebraic Expressions / Identify terms and coefficients, Identify properties of Algebra,
Apply exponent properties, Combine like terms and remove grouping symbols,
Evaluate algebraic expressions / HW/Quiz / CC.2.2HS.F.1
Identify leading coefficients and degrees of polynomials, multiply polynomials, use polynomials operations in application problems / HW/Quiz / CC.2.2HS.D.3
CC.2.2HS.D.5
Factor Polynomials completely with common factors, grouping terms, the difference of two squares, the sum or difference of cubes / HW/Quiz / CC.2.2HS.D.5
Factoring Trinomials with or without leading coefficients / HW/Quiz / CC.2.2HS.D.5
Solving linear equations / HW/Quiz / CC.2.2HS.D.8
Solve equations by factoring / HW/Quiz / CC.2.2HS.D.5
CC.2.2HS.D.8
Demonstrate knowledge on Algebraic Expressions / Unit Test
Graphs and Functions / Plot points on a rectangular coordinate system, determine whether ordered pairs are solutions, use the distance and midpoint formulas to solve problems / HW/Quiz
Sketch equations by plotting points and finding intercepts / HW/Quiz / CC.2.2HS.D.7
Determine slope, write linear equations, and determine if lines are parallel or perpendicular / HW/Quiz / CC.2.2HS.C.5
Identify domain and range, determine functionality, and evaluate functions / HW/Quiz / CC.2.2HS.C.1
CC.2.2HS.C.2
Use horizontal and vertical shifts and reflections to sketch graphs / HW/Quiz / CC.2.2HS.C.4
Demonstrate knowledge on Graphs and Functions / Unit Test
Linear Functions, / Translate verbal statements into mathematical models to solve applied problems / HW/Quiz / CC.2.2.HS.D.10
Equations, and Inequalities / Write the equation of a line given a description of its graph / HW/Quiz / CC.2.2.HS.D.10
Solve business and rate problems / HW/Quiz / CC.2.2.HS.D.8
CC.2.2.HS.D.9
Solve linear inequalities in one variable and sketch the graphs of their solution sets / HW/Quiz / CC.2.2.HS.D.8
Solve absolute value equations and inequalities / HW/Quiz / CC.2.2.HS.D.8
Demonstrate knowledge on linear functions, equations, and inequalities / Unit Test
Systems of linear equations & inequalities / Solve systems of linear equations by substitution, elimination, matrices, and graphically / HW/Quiz / CC.2.2.HS.D.7
CC.2.2.HS.D.8
CC.2.2.HS.D.9
CC.2.2.HS.D.10
Evaluate the determinant of a matrix / HW/Quiz
Sketch graphs of solutions of linear inequalities and systems of linear inequalities and model real life situations / HW/Quiz / CC.2.2.HS.C.2
CC.2.2.HS.C.5
Demonstrate knowledge of systems of linear equations and inequalities / Unit Test
Radicals and Complex Numbers / Simplify and evaluate expressions involving integer and rational exponents / HW/Quiz / CC.2.2.HS.F.1
Simplify and evaluate expressions involving radicals / HW/Quiz / CC.2.2.HS.F.1
Add, subtract, multiply, and divide radical expressions / HW/Quiz / CC.2.2.HS.F.1
Solve radical equations / HW/Quiz / CC.2.2.HS.D.8
CC.2.2.HS.D.9
Add, subtract, multiply, and divide complex numbers / HW/Quiz / CC.2.2.HS.F.6
CC.2.2.HS.F.7
Demonstrate knowledge of radicals and complex numbers / Unit Test
Quadratic Functions, Equations, & Inequalities / Solve quadratic equations by factoring, square roots, completing the square, and the quadratic formula / HW/Quiz / CC.2.2.HS.D.8
CC.2.2.HS.D.5
CC.2.2.HS.D.9
CC.2.2.HS.D.10
Solve and graph quadratic inequalities / HW/Quiz / CC.2.2.HS.D.5
CC.2.2.HS.D.9
CC.2.2.HS.D.10
Demonstrate knowledge of quadratic functions, equations & inequalities / Unit Test
Rational Expressions & Functions / Determine the domain and simplify rational expressions / HW/Quiz / CC.2.2.HS.D.5
CC.2.2.HS.D.6
Add, subtract, multiply, and divide rational expressions / HW/Quiz / CC.2.2.HS.D.3
CC.2.2.HS.D.5
CC.2.2.HS.D.6
Solve rational equations / HW/Quiz / CC.2.2.HS.D.3
CC.2.2.HS.D.5
CC.2.2.HS.D.6
CC.2.2.HS.D.9
Demonstrate knowledge of rational expressions and functions / Unit Test
Functions and Conics / Find combinations and composition of functions / HW/Quiz / CC.2.2.HS.C.1
Find inverse of functions / HW/Quiz / CC.2.2.HS.C.4
Graph and find equations of circles, ellipses, hyperbolas, and parabolas / HW/Quiz / CC.2.2.HS.C.2
CC.2.2.HS.A.10
Demonstrate knowledge of functions and conics / Unit Test
Exponential & Logarithmic Functions and Equations / Evaluate and sketch the graphs of exponential functions / HW/Quiz / CC.2.2.HS.C.2
CC.2.2.HS.C.5
CC.2.2.HS.C.6
Evaluate and sketch the graphs of logarithmic functions / HW/Quiz / CC.2.2.HS.C.2
CC.2.2.HS.C.5
CC.2.2.HS.C.6
Evaluate and rewrite log expressions using properties of logs / HW/Quiz / CC.2.2.HS.D.2
Solve Exponential and logarithmic equations / HW/Quiz / CC.2.2.HS.D.8
CC.2.2.HS.D.9
Solve real life problems using exponential and log functions / HW/Quiz / CC.2.2.HS.D.8
CC.2.2.HS.D.9
CC.2.2.HS.F.4
Demonstrate knowledge of exponential and logarithmic functions / Unit Test
Sequences, Series, and binomial theorem / Write and evaluate sequences and series using sequence and sigma notation / HW/Quiz / CC.2.2.HS.C.3
Identify, write, and evaluate sums of arithmetic sequences / HW/Quiz / CC.2.2.HS.C.3
Identify, write and evaluate sums of geometric sequences / HW/Quiz / CC.2.2.HS.C.3
Evaluate binominal coefficients and expand expressions using the binomial theorem / HW/Quiz / CC.2.2.HS.C.3
Demonstrate knowledge of sequences, series, and binomial theorem / Unit Test