Long Range Goals AND Assessment:
• What will students know, value, or be able to do after I teach? How will I know if
they’ve accomplished this?
Students will be able to (SWBAT):
- determine the odds of your main character winning the math Hunger Games
- determine whether an event in your main characters “life” is an independent or
dependent event of him/her being chosen as tribute (independent vs. dependent events)
- determine the probability that the main character will get chosen as tributes (simple
events)
- determine the probability after each day in the math Hunger Games that your main
character will win (simple events)
- use tree diagrams and the counting principle to figure out the number possible outcomes
of a particular scenario that happened within the math Hunger Games (tree diagram and
the counting principle)
- use the rules of probability to figure out all possible permutations of the math hunger
games tributes death (factorials and permutations)
use the rules of probability to figure out all the possible combinations of a certain
number of the math hunger games tributes dieing on the same day (combinations)
- Apply probability to other situations
Big Ideas (Scope and Sequence)
• How will I organize the topic and subtopics
Topic: Probability
Subtopics:
● Independent events vs. dependent events
● Basic probability: Simple Events
● Tree Diagrams
● The Counting Principle
● Permutations and Factorials
● Combinations
● odds vs. probability
Enduring Understandings
• What should students know so well that I would never need to re-teach it?
- how to find the probability of simple and compound events
- the difference between Independent Events and Dependent Events
- when to use Permutations compared to Combinations
- how to find a permutation
-
how to find a combination
Essential Questions
• What questions should I be asking students from the beginning of the instruction
to guide us toward the objectives? If students can answer the essential questions,
they should be able to demonstrate mastery of the objectives.
- Where do I see the use of probability in my life or the world around me?
- How am I putting forth my best effort?
- What is the difference between odds and probability?
- What are the Independent and Dependent Events in my “life” in the Math Hunger
Games?
- How do I solve for probabilities of independent and dependent events?
- How do I determine the probability of a single event?
- How do I find the expected outcomes of different scenarios that could happen within the
Math Hunger Games?
- When do I use tree diagram and How are they helpful?
- How does the Counting Principle help me to find the total number of outcomes in each
situation?
- When do I use permutations? (does order matter)
- When do I use combinations? (does order matter)
Student Activities: Daily LESSON PLANS and Formative Assessments
• What will I do with students to reach the long-range goals and how am I checking
progress?
Lessons
-
-
mini lesson
- summarize what students read the night before by reading a particular
passage we are focussing on
- give an example of my own story
- how do I find out the probabilities, outcomes, etc. (model with
mathematics)
workshop
- working on their “Math Hunger Games” story
- if they need they can read the book
- write their story
- work on illustrating the story
- bounce ideas of other students
-
- ask me to explain the mathematics more
- I will put up leading questions on the board or give sticky notes out to
students throughout the class if I see that they need a little more guidance
- I will be walking around observing
class conference
- we will all come back together and we will all share our findings out for
the day (it could consist of misconceptions, an aw-ha moment, a proud
moment)
- make a summary of what we learned
- give reading assignment
Assessments
- the students will have 3 different evidences to prove that they mastered the topic and
subtopics
- The class Hunger Game story in which students can revise until the end of the
unit when the whole story is due. each student will put their “Math Hunger Game”
story together and publish it for others to read and share with the class
- one will be applying the concepts to their own lives
- a group project that revolves around the topic probability: the student will be able
to choose and come up with their own project that has the underlying theme of
probability.( Some ideas are making a game with probability as the underlying
concept, find the probabilities of winning different tv game shows)