// In secondary classrooms

# Geometry

## Course Focus

GM.1
Identify SDA Christian principles and values in correlation with mathematics.

GM.1.1 | Recognize God as Creator and Sustainer of an ordered universe. |
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GM.1.2 | Value God’s inspired writings and created works as a revelation of His precision, accuracy, and exactness. |

GM.1.3 | Develop accountability as expressed in God’s word and laws. |

GM.1.4 | Employ Christian principles as a basis for learning and growth. |

GM.1.5 | Broaden intellectual abilities through the study of mathematics. |

GM.1.6 | Make biblically-based choices when dealing with mathematical data. |

GM.1.7 | Apply biblical principles of Christian morality, integrity, and ethical behavior to mathematical processes. |

## Course Abilities

GM.2
Develop abilities in mathematics.

GM.2.1 | Understand mathematical concepts (number sense, algebraic and geometric thinking, measurement, data analysis, and probability). MP.7 |
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GM.2.2 | Utilize the problem-solving process (explore, plan, solve, verify). MP.1, MP.2 |

GM.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 |

GM.2.4 | Attend to precision. MP.6 |

GM.3
Be able to apply mathematical knowledge and skills to a variety of purposes.

GM.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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GM.3.2 | Conduct research (locate, observe/gather, analyze, conclude). |

GM.3.3 | Perform calculations with and without technology in life situations. MP.5 |

GM.3.4 | Read critically and communicate proficiently with mathematical vocabulary. |

## Course Content

GM.4
Be able to understand terms and symbols of geometry

GM.4.1 | Demonstrate understanding of undefined terms (point, line, plane, and space). G-CO.1 |
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GM.4.2 | Interpret properties and relationships among figures using inductive and deductive reasoning. |

GM.4.3 | Understand how basic mathematical systems are built (observations, hypotheses/conjectures, postulates, theorems, corollaries). |

GM.4.4 | Classify and characterize figures and objects (i.e. angles, polygons, polyhedrons, circles, and spheres). G-CO.1, G-C.2, G-MG.1 |

GM.4.5 | Recognize various types of symmetry and transformations. G-CO.2,3,4 |

GM.5
Be able to represent geometric properties and relationships.

GM.5.1 | Specify spatial relationships using coordinate geometry. G-CO.5,6 |
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GM.5.2 | Identify measurable attributes of figures and objects. G-GMD.4 |

GM.5.3 | Verify similarity and congruence of geometric figures. G-CO.6,7,8, G-SRT.1,2,3, G-C.1 |

GM.6
Be able to apply appropriate techniques, tools, and formulas to interpret and solve problems.

GM.6.1 | Apply coordinate geometry and algebraic formulas to verify characteristics of geometric figures. G-SRT.5, G-GPE.1,4,5,7, G-GMD.3 |
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GM.6.2 | Select and use an appropriate direct or indirect method of measurement. G-GPE.6, G-C.3,4 |

GM.6.3 | Construct geometric figures and objects. G-CO.12,13, G-C.3,4 |

GM.6.4 | Use trigonometric functions and laws to solve triangles and find areas. G-SRT.6,7,8,9 |

GM.6.5 | Apply geometric methods to solve real-life problems. G-MG.1,2,3 |

GM.6.6 | Use formulas to find measurable attributes of figures and objects (i.e. arc, sector, perimeter, area, surface area, volume). G-C.2, G-GMD.1,2 |

GM.7
Be able to analyze results and draw appropriate conclusions.

GM.7.1 | Investigate, apply, and prove properties and theorems. G-CO.9,10,11, G-SRT.4,5, G-C.1, G-GPE.4,5 |
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GM.7.2 | Find and interpret information from graphs, charts, and numerical data. |

GM.7.3 | Make conjectures regarding meaning, utility, and reasonableness of findings in a variety of situations, including those carried out by technology. |