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Geometry Videos

2017-18 Geometry Essential Math Concepts (EMCs)

1. Understand the Foundations of Geometry
2. Prove Theorems about Triangles
3. Prove Theorems about Quadrilaterals
4. Understand and Experiment with Congruence in Terms of Rigid Motions and Similarity in Terms of Dilations
5. Understand Similarity in Terms of Transformations and Prove Similarity Theorems
6. Apply Trigonometry to General Triangles
7. Explain Area and Volume Formulas and Use Them to Solve Problems
8. Understand and Apply Theorems about Circles
9. Understand Independence and Conditional Probability and Use Them to Interpret Data and Compute Probabilities of            Compound Events

 

Geometry Domains, Clusters, and Standards
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Geometry

Congruence

• Experiment with transformations in the plane

  EMCs 1, 4, & 7: (G-CO.1, G-CO.2, G-CO.3, G-CO.4, G-CO.5)

• Understand congruence in terms of rigid motion.

  EMC 4: (G-CO.6, G-CO.7, G-CO.8)

• Prove geometric theorems

  EMCs 1, 2, & 3: (G-CO.9, G-CO.10, G-CO.11)

• Make geometric constructions.

  EMCs 1 & 2: (G-CO.12, G-CO.13)

Similarity, Right Triangles, and Trigonometry

• Understand similarity in terms of similarity transformations.

  EMC 4: (G-SRT.1, G-SRT.1a, G-SRT.1b, G-SRT.2, G-SRT.3)

• Prove theorems involving similarity.

  EMCs 2, 3, & 5: (G-SRT.4, G-SRT.5)

• Define trigonometric ratios and solve problems involving right triangles.

  EMC 6: (G-SRT.6, G-SRT.7, G-SRT.8)

• Make geometric constructions.

  EMCs 6 & 7: (+G-SRT.9, +G-SRT.10, +G-SRT.11)

Circles

• Understand and apply theorems about circles.

  EMCs 7 & 8: (G-C.1, G-C.2, G-C.3, +G-C.4)

• Find arc lengths and areas of sectors of circles.

  EMC 7: (G-C.5)

Expressing Geometric Properties with Equations

• Translate between the geometric description and the equation for a conic section.

  EMC 8: (G-GPE.1, G-GPE.2)

• Use coordinate to prove simple geometric theorems algebraically.

  EMCs 1, 3, 5, & 7: (G-GPE.4, G-GPE.5, G-GPE.6, G-GPE.7)

Geometric Measurement and Dimension 

• Explain volume formulas and use them to solve problems.

  EMC 7: (G-GMD.1, G-GMD.3)

• Visualize relationships between two-dimensional and three-dimensional objects.

  EMCs 7 & 8: (G-GMD.4)

Modeling with Geometry

• Apply geometric concepts in modeling situations.

  EMCs 1 & 7: (G-MG.1, G-MG.2, G-MG.3)

 

Statistics and Probability

Conditional Probability and the Rules of Probability

• Understand independence and conditional probability and use them to interpret data.

  EMC 9: (S-CP.1, S-CP.2, S-CP.3, S-CP.4, S-CP.5)

• Use rules of probability to compute probabilities of compound events in a uniform probability model.

  EMC 9: (S-CP.6, S-CP.7, +S-CP.8, +S-CP.9)

Use Probability to Make Decisions

• Use Probability to evaluate outcomes of decisions.

  EMC 9: (+S-MD.6, +S-MD.7)