Algebra I

Course Focus

AI.1 Identify the principles of SDA Christian values in correlation with mathematics.
AI.1.1 Recognize God as Creator and Sustainer of an ordered universe.
AI.1.2 Value God’s inspired writings and created works as a revelation of His precision, accuracy, and exactness.
AI.1.3 Develop accountability as expressed in God’s word and laws
AI.1.4 Employ Christian principles as a basis for learning and growth.
AI.1.5 Broaden intellectual abilities through the study of mathematics.
AI.1.6 Make biblically-based choices when dealing with mathematical data.
AI.1.7 Apply biblical principles of Christian morality, integrity, and ethical behavior to mathematical processes.

Course Abilities

AI.2 Develop abilities in mathematics HS-ETS1
AI.2.1 Understand mathematical concepts (number sense, algebraic and geometric thinking, measurement, data analysis, and probability). MP.7
AI.2.2 Utilize the problem-solving process (explore, plan, solve, verify). MP.1, MP.2
AI.2.3 Develop higher-order thinking skills (analyze, evaluate, reason, classify, predict, generalize, solve, decide, relate, interpret, simplify, model, synthesize).M MP.2, MP.3, MP.4
AI.2.4 Attend to precision. MP.6
AI.3 Be able to apply mathematical knowledge and skills to a variety of purposes
AI.3.1 Use a variety of strategies in the problem-solving process (i.e. patterns, tables, diagrams). MP.7, MP.8
AI.3.2 Conduct research (locate, observe/gather, analyze, conclude).
AI.3.3 Perform calculations with and without technology in life situations. MP.5
AI.3.4 Read critically and communicate proficiently with mathematical vocabulary.

Course Content

AI.4 Be able to understand concepts involving real numbers.
AI.4.1 Simplify expressions using the order of operations, including properties of exponents, square roots, and absolute value.
AI.4.2 Identify numbers (i.e. real, rational, irrational).
AI.4.3 Identify relationships and operations among numbers (i.e. properties, equations, inequalities, ratios, proportions, dimensional analysis, real vs. imaginary). N-RN.3, A-REI.1
AI.5 Be able to represent mathematical situations using algebraic symbols and models
AI.5.1 Use and evaluate expressions involving variables. A-SSE.1
AI.5.2 Write equations, systems of equations, and inequalities from written and oral expression, recognizing equivalent forms. A-SSE.2, A-CED.1,2, F-LE.2,3, G-GPE.5
AI.5.3 Identify, graph, solve, and interpret linear/quadratic equations/inequalities and the concept of variation. A-SSE.3, A-CED.2, A-REI.10,12, F-IF.8, F-LE.2,3
AI.5.4 Recognize, evaluate, and interpret functions, including domain and range. F-IF.1,2,4,5,6
AI.5.5 Apply basic concepts of statistics and probability (i.e. measures of central tendency, plots, combinations, permutations) S-ID.1,2,5, S-CP.1,9, S-MD.1,2,3,4,5
AI.6 Be able to apply appropriate techniques, tools, and formulas to interpret and solve problems
AI.6.1 Calculate measurable attributes of figures (degrees of angles, lengths, perimeter, area, volume). N-Q.1,2,3
AI.6.2 Demonstrate mathematical proficiency using technology when appropriate.
AI.6.3 Use and manipulate given formulas to solve a variety of problems (i.e. slope, distance, area, volume, perimeter, midpoint) N-Q.1,2,3, A-CED.4, G-SRT.8
AI.6.4 Perform operations involving polynomials and rational expressions. A-APR.1,7
AI.6.5 Solve consumer-related problems (i.e. profit/loss, sales tax, mark-up/discount, interest) N-Q.1,2,3
AI.6.6 Solve simple equations and inequalities in one variable (linear, quadratic, rational, radical, exponential, absolute value). A-REI.2,3,4, F-IF.8
AI.6.7 Solve systems of equations and inequalities using graphs and algebraic methods. A-CED.1, A-REI.1,5,6
AI.7 Be able to analyze results and draw appropriate conclusions
AI.7.1 Find and interpret information from graphs, charts, and numerical data. S-ID.6,7
AI.7.2 Predict patterns and generalize trends (i.e. arithmetic/geometric sequences, scatter plots, linear regressions). F-LE.1
AI.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