Click the above link to take an online practice quiz. I recommend the 20 or 40 question option.
GA DOE - Geometry EOC Study Guide
Units tested in the GSE Geometry EOC 2015 - 2016
Unit 1: Transformations in the Coordinate Plane
Enduring Understandings:
- The concepts of congruence, similarity, and symmetry can be understood from the perspective of geometric transformation.
- Fundamental are the rigid motions: translations, rotations, reflections, and combinations of these, all of which are here assumed to preserve distance and angles (and therefore shapes in general).
- Reflections and rotations each explain a particular type of symmetry, and the symmetries of an object offer insight into its attributes.
Khan Academy Videos and Practice
Unit 2: Similarity, Congruence, & Proofs **This has the most standards and theorems to learn/remember**
Enduring Understandings
- Too many to list, click on the link to view.
Khan Academy - Triangle Proofs (SSS, SAS, ASA, AAS)
Khan Academy - Pythagorean Theorem proof using similarity
Khan Academy - Proofs involving triangles
Khan Academy - Geometric Constructions **** IMPORTANT ****
Unit 3: Right Triangle Trigonometry
Enduring Understandings:
- Similar right triangles produce trigonometric ratios.
- Trigonometric ratios are dependent only on angle measure.
- Trigonometric ratios can be used to solve application problems involving right triangles.
Unit 4: Circles and Volume
Enduring Understandings:
- Understand and Apply Theorems about Circles
- Find Arc Lengths and Areas of Sectors of Circles
- Explain Volume Formulas and Use them to solve problems
- Extend the study of identifying cross sections of three dimensional shapes to identifying solids of revolution
Khan Academy - Angles of a circle Videos and Practice
Unit 5: Geometric & Algebraic Connections
Enduring Understandings:
- Algebraic formulas can be used to find measures of distance on the coordinate plane.
- The coordinate plane allows precise communication about graphical representations.
- The coordinate plane permits use of algebraic methods to obtain geometric results.
- Derive the formula for a circle using the Pythagorean Theorem
- Apply algebraic formulas and ideas to geometric figures and definitions
- Model everyday objects using three dimensional shapes and describe the object using characteristics of the shape.
- Solve real world problems that can be modeled using density, area, and volume concepts.
Khan Academy - Geometry and the coordinate plane Videos and Practice
Khan Academy - Distance, Midpoint, Partitioning Lines Videos and Practice
Unit 6: Applications of Probability
Enduring Understandings:
- Use set notation as a way to algebraically represent complex networks of events or real world objects.
- Represent everyday occurrences mathematically through the use of unions, intersections, complements and their sets and subsets.
- Use Venn Diagrams to represent the interactions between different sets, events or probabilities.
- Find conditional probabilities by using a formula or a two-way frequency table.
- Understand independence as conditional probabilities where the conditions are irrelevant.
- Analyze games of chance, business decisions, public health issues and a variety of other parts of everyday life can be with probability.
- Model situations involving conditional probability with two-way frequency tables and/or Venn Diagrams.
- Confirm independence of variables by comparing the product of their probabilities with the probability of their intersection.
Khan Academy - Venn Diagrams
Khan Academy - Independent and Compound Probabilities
Khan Academy - Dependent and Conditional Probabilities
