# 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**

**Click on a domain or standard to review Khan Academy videos aligned to the domain/standard.**

**NOTE: The content of Khan Academy videos are not the property of Capistrano USD, so use of the videos are at the viewer's discretion.**

**Geometry**

• 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.

• 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.

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

EMCs 7 & 8: (G-GMD.4)

• 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.