# Algebra II

## Course Focus

AII.1 Identify the principles of SDA Christian values in correlation with mathematics.
 AII.1.1 Recognize God as Creator and Sustainer of an ordered universe. Value God’s inspired writings and created works as a revelation of His precision, accuracy, and exactness. Develop accountability as expressed in God’s word and laws. Employ Christian principles as a basis for learning and growth. Broaden intellectual abilities through the study of mathematics Make biblically-based choices when dealing with mathematical data. Apply biblical principles of Christian morality, integrity, and ethical behavior to mathematical processes.

## Course Abilities

AII.2 Develop abilities in mathematics.
 AII.2.1 Understand mathematical concepts (number sense, algebraic and geometric thinking, measurement, data analysis, and probability). MP.7 Utilize the problem-solving process (explore, plan, solve, verify). MP.1, MP.2 Develop higher-order thinking skills (analyze, evaluate, reason, classify, predict, generalize, solve, decide, relate, interpret, simplify, model, synthesize). MP.2, MP.3, MP.4 Attend to precision. MP.6
AII.3 Be able to apply mathematical knowledge and skills to a variety of purposes.
 AII.3.1 Use a variety of strategies in the problem-solving process (i.e. patterns, tables, diagrams). MP.7, MP.8 Conduct research (locate, observe/gather, analyze, conclude). Perform calculations with and without technology in life situations. MP.5 Read critically and communicate proficiently with mathematical vocabulary.

## Course Content

AII.4 Be able to understand concepts involving real and complex numbers.
 AII.4.1 Identify numbers and relationships among numbers (i.e. properties, equations, inequalities). N-CN.3 Simplify expressions using the order of operations, including radicals and absolute value. N-RN.1,2, N-CN.1,2 Know and use the Fundamental Theorem of Algebra. N-CN.9 Determine trigonometric values using the unit circle and right triangles. F-TF.1,2, G-SRT.6,7,8
AII.5 Be able to represent mathematical situations using algebraic symbols and models
 AII.5.1 Use and evaluate expressions involving variables. A-SSE.1, F-BF.1 Write higher-order equations and inequalities from written and oral expression and recognize equivalent forms. A-SSE.2, N-CN.8, F-LE.2,3 Identify, graph, and interpret various functions (i.e. quadratic, inverse, trigonometric, logarithmic, exponential). F-IF.5,7,8, F-BF.3, F-LE.1, G-GPE.1,2,3 Present data using statistics and probability (linear regressions, counting techniques) S-ID.2,4, S-CP.7,9 Understand, interpret, and evaluate sequences and series. A-SSE.4, F-IF.3, F-BF.2
AII.6 Be able to apply appropriate techniques, tools, and formulas to interpret and solve problems.
 AII.6.1 Solve systems of equations and inequalities using graphs and algebraic methods. A-REI.7,11 Solve consumer-related problems involving linear programming. A-CED.3 Solve quadratic, exponential, radical, rational, and logarithmic equations. N-CN.7, A-REI.2,4, F-IF.8 F-BF.5, F-LE.4 Graph and perform operations involving polynomials and rational expressions. A-APR.2,3,6,7, F-BF.1,4 Demonstrate mathematical proficiency using a graphing utility. MP.3
AII.7 Be able to analyze results and draw appropriate conclusions.
 AII.7.1 Find and interpret information from graphs, charts, and numerical data. S-ID.6, F-IF.4,9, F-BF.4, F-LE.2,5 Predict patterns and generalize trends (i.e. scatter plots, linear, quadratic, exponential models and regressions), including data distribution. S-ID.6, F-LE.1 Judge meaning, utility, and reasonableness of findings in a variety of situations, including those carried out by technology. S-IC.2, S-MD.6,7