Mathematics

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

Pre-Calculus