PC.1 Identify the principles of SDA Christian values in correlation with mathematics
|PC.1.1||Recognize God as Creator and Sustainer of an ordered universe.|
|PC.1.2||Value God’s inspired writings and created works as a revelation of His precision, accuracy, and exactness.|
|PC.1.3||Develop accountability as expressed in God’s word and laws.|
|PC.1.4||Employ Christian principles as a basis for learning and growth.|
|PC.1.5||Broaden intellectual abilities through the study of mathematics.|
|PC.1.6||Make biblically-based choices when dealing with mathematical data.|
|PC.1.7||Apply biblical principles of Christian morality, integrity, and ethical behavior to mathematical processes.|
PC.2 Develop abilities in mathematics.
|PC.2.1||Understand mathematical concepts (number sense, algebraic and geometric thinking, measurement, data analysis, and probability). MP.7|
|PC.2.2||Utilize the problem-solving process (explore, plan, solve, verify). MP.1, MP.2|
|PC.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|
|PC.2.4||Attend to precision. MP.6|
PC.3 Be able to apply mathematical knowledge and skills to a variety of purposes.
|PC.3.1||Use a variety of strategies in the problem-solving process (i.e. patterns, tables, diagrams). MP.7, MP.8|
|PC.3.2||Conduct research (locate, observe/gather, analyze, conclude).|
|PC.3.3||Perform calculations with and without technology in life situations. MP.5|
|PC.3.4||Read critically and communicate proficiently with mathematical vocabulary.|
PC.4 Be able to understand concepts of functions.
|PC.4.1||Characterize, classify, and transform functions (i.e. even, odd, periodic, piece-wise, continuous, translation, stretch, compression, and trigonometric). F-IF.4, F-BF.3, F-TF.2,4|
|PC.4.2||Demonstrate knowledge of limits (definition, properties, finite, infinite).|
PC.5 Be able to represent mathematical relationships and situations.
|PC.5.1||Simplify, verify, and derive trigonometric identities. F-TF.8,9, G-SRT.9,10|
|PC.5.2||Write, graph, and convert between different forms of equations (rectangular, polar, parametric). N-CN.4|
|PC.5.3||Identify, graph, and interpret various expressions and functions (i.e. polynomial, inverse, trigonometric, logarithmic, exponential, vectors). N-VM.1,2,3, A-APR.3,4, F-IF.7, F-BF.4,5, F-LE.5, F-TF.1,3,6|
|PC.5.4||Present and interpret data using statistics and probability (i.e. regressions, counting techniques, data distribution). S-ID.,2,3,4,6,9, S-IC.1,3, S-CP.2,3,4,5,6,7,8,9|
|PC.5.5||Explore characteristics and operations with sequences and series, as they apply to limits. A-SSE.4, F-BF.2|
|PC.5.6||Perform operations of complex numbers on the complex plane. N-CN.4,5,6|
PC.6 Be able to apply appropriate techniques, tools, and formulas to interpret and solve problems.
|PC.6.1||Solve systems of equations and inequalities using graphs, algebraic methods, and matrices N-VM.6, A-REI.8,9|
|PC.6.2||Solve higher-order equations and inequalities from written and oral expression, recognizing equivalent forms.|
|PC.6.3||Solve exponential, logarithmic, and trigonometric equations. F-LE.4, F-TF.7, G-SRT.10,11|
|PC.6.4||Perform operations involving polynomials, functions, rational expressions, vectors and matrices. N-VM.4,5,6,7,8,9,10,11,12, A-APR.2,5, F-BF.1|
|PC.6.5||Demonstrate fractional decomposition.|
|PC.6.6||Demonstrate mathematical proficiency using a graphing utility. MP.5|
|PC.6.7||Write, graph, and manipulate equations for conic sections. G-GPE.2,3|
PC.7 Be able to analyze results and draw appropriate conclusions.
|PC.7.1||Find and interpret information from graphs, charts, and numerical data. S-ID.6,7, F-IF.9, F-TF.5|
|PC.7.2||Predict patterns and generalize trends. S-IC.4,5,6, F-LE.1|
|PC.7.3||Judge meaning, utility, and reasonableness of findings in a variety of situations, including those carried out by technology. S-IC.2, S-ID.8, S-MD.6,7|