GEOM.MATH.13.B
Determine probabilities based on area to solve contextual problems.
Geometry · Texas Essential Knowledge and Skills (TEKS) · TEKS 2012
Standard Unwrapping
AI-generated as a starting point — sign in to edit.Vocabulary
probabilitiesareacontextual problems
Skills
- determine (probabilities based on area) #dok2
- use (area models to represent probabilities) #dok2
- solve (contextual problems involving geometric probability) #dok3
- interpret (the relationship between area and probability) #dok2
Learning Targets
- I can calculate the probability of an event by comparing areas of geometric regions. #dok2
- I can identify when to use area to determine probability in a real-world context. #dok2
- I can represent a probability scenario using a geometric diagram. #dok2
- I can use area models to solve probability problems from real-world situations. #dok3
- I can justify my solution to a geometric probability problem using mathematical reasoning. #dok3
- I can evaluate the reasonableness of my solution to a probability problem involving area. #dok3
Big Ideas
- Probability can be determined by comparing the area of a desired outcome to the area of all possible outcomes in a geometric setting.
- Geometric models, such as shapes and regions, can be used to solve probability problems in real-world situations.
Essential Questions
- How can area be used to model and determine probability in real-world situations?
- What kinds of problems are best solved using geometric probability?
- How do you represent probabilities using geometric diagrams and area models?
- How can you justify and evaluate your solution to a probability problem involving area?
- What is the relationship between probability and area in a geometric context?