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.|
|AII.1.2||Value God’s inspired writings and created works as a revelation of His precision, accuracy, and exactness.|
|AII.1.3||Develop accountability as expressed in God’s word and laws.|
|AII.1.4||Employ Christian principles as a basis for learning and growth.|
|AII.1.5||Broaden intellectual abilities through the study of mathematics|
|AII.1.6||Make biblically-based choices when dealing with mathematical data.|
|AII.1.7||Apply biblical principles of Christian morality, integrity, and ethical behavior to mathematical processes.|
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|
|AII.2.2||Utilize the problem-solving process (explore, plan, solve, verify). MP.1, MP.2|
|AII.2.3||Develop higher-order thinking skills (analyze, evaluate, reason, classify, predict, generalize, solve, decide, relate, interpret, simplify, model, synthesize). MP.2, MP.3, MP.4|
|AII.2.4||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|
|AII.3.2||Conduct research (locate, observe/gather, analyze, conclude).|
|AII.3.3||Perform calculations with and without technology in life situations. MP.5|
|AII.3.4||Read critically and communicate proficiently with mathematical vocabulary.|
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|
|AII.4.2||Simplify expressions using the order of operations, including radicals and absolute value. N-RN.1,2, N-CN.1,2|
|AII.4.3||Know and use the Fundamental Theorem of Algebra. N-CN.9|
|AII.4.4||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|
|AII.5.2||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|
|AII.5.3||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|
|AII.5.4||Present data using statistics and probability (linear regressions, counting techniques) S-ID.2,4, S-CP.7,9|
|AII.5.5||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|
|AII.6.2||Solve consumer-related problems involving linear programming. A-CED.3|
|AII.6.3||Solve quadratic, exponential, radical, rational, and logarithmic equations. N-CN.7, A-REI.2,4, F-IF.8 F-BF.5, F-LE.4|
|AII.6.4||Graph and perform operations involving polynomials and rational expressions. A-APR.2,3,6,7, F-BF.1,4|
|AII.6.5||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|
|AII.7.2||Predict patterns and generalize trends (i.e. scatter plots, linear, quadratic, exponential models and regressions), including data distribution. S-ID.6, F-LE.1|
|AII.7.3||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|