// In secondary classrooms

# 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. |
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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 |
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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 |
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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. |
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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 |
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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 |
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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 |
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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 |