1 Decision Tree: Making a Decision with Impact Resource Type: Lessons Discipline: Mathematics Grades: Grades 9–12 Professional Commentary: Students decide whether to buy collision insurance on a used car by constructing a probability decision tree and calculating expected values of various events. Two detailed activity sheets lead students through the concepts and computations step by step.... 2 Tree Diagrams and Probability Resource Type: Lessons Discipline: Mathematics Grades: Grades 6–8 Professional Commentary: This lesson is a step-by-step introduction to tree diagrams for computing probabilities of simple compound events. A Racing Game applet is included, along with discussion questions and suggestions for guided and independent practice.... 3 Time-Axis Fallacy and Bayes' Theorem Resource Type: Lessons Discipline: Mathematics Grades: Grades 10–12 Professional Commentary: Most students understand that the probability of an event occurring can be influenced by another event that has already occurred. However, many students do not understand that the probability of an event occurring can actually be dependent on an event that occurred later.... Resource Type: Lessons Discipline: Mathematics Grades: Grades 7–12 Professional Commentary: This lesson presents a classic game-show scenario: You pick one of three doors in hopes of winning a prize. The host opens one of the two remaining doors which reveals no prize, then asks if you want to stick with your original choice or switch to the other unopened door.... 5 Data Benchmark J, Grades 8-10, Mini-collections Resource Type: Professional Resources Discipline: Mathematics Grades: Grades 8–10 Professional Commentary: The OGT Data Analysis and Probability Benchmark J: Compute probabilities of compound events, independent events, and simple dependent events is one of the benchmarks most frequently tested on the Ohio Graduation Test. ORC-recommended resources related to this benchmark have been selected and compiled into mini-collections of lesson materials and assessment items. In addition to lessons and units, the lesson... Resource Type: Lessons Discipline: Mathematics Grades: Grades 6–8 Professional Commentary: First, students review Pascal's Triangle by completing and discussing the entries of the first eight rows. They then determine the total number of possible girl/boy combinations in a five-child family.... 7 Explorations with Chance Resource Type: Lessons Discipline: Mathematics Grades: Grades 5–10 Professional Commentary: This site describes three creative games that give students an opportunity to apply concepts related to probability. Students are asked to determine whether the games are fair, and if unfair, how they might be changed.... Resource Type: Lessons Discipline: Mathematics Grades: Grades 5–8 Professional Commentary: A game based on the Apache game of "Throwing Sticks" is the foundation for this lesson on probability. Younger students can play the game and record results in a sticky note bar graph (ORC notes that the word occurrences is misspelled on the pictured bar graph).... 9 ODE Assessment Item, Grade 8: Probability of a Compound Event Resource Type: Assessments Discipline: Mathematics Grades: Grades 6–8 Professional Commentary: Students must find the probability of a compound event. This multiple-choice question is a sample item used in the 2005 Ohio Grade 8 Achievement Test (see Overview of Ohio's Assessment System).... 10 ODE Assessment Item, Grade 10: Probability of Simple Compound Event Resource Type: Assessments Discipline: Mathematics Grades: Grades 8–10 Professional Commentary: Students must find the probability of a simple compound event. This multiple-choice question is a sample item used in the 2004 Ohio Graduation Test (see Overview of Ohio's Assessment System).... |