Unit Plan 11 Probability

Grade: 6

Content Area: Mathematics

Course Name:

Unit: 11

Description of Course: During this unit students will learn what probability is and how to calculate an events probability.

Approximate Time Needed: 10-16 days

Learning Targets

Assessments

Instructional Considerations

Instructional Approach

Resources

11.1  I can determine the probability of an event using the ratio between the size of the event and the size of the sample space.

11.2  I can determine the sample space for a given experiment and determine which members of the sample space are related to certain events.

11.3  I can perform experiments for situations in which the probabilities are known. Understand that the relative frequencies may differ.

11.4  I can show experimental probabilities in various forms, such as fractions and percents.

MN Math Standards

6.4.1.1

6.4.1.2

6.4.1.3

6.4.1.4

Pre-Assessments:

Unit 11 Pre-Assessment

Unit 11 Pre-Assess KEY

Formative Assessments:

11.1 Practice Set

11.1 Practice Set KEY

11.2 Practice Set

11.2 Practice Set KEY

11.3 Practice Set

11.3 Practice Set KEY

11.4 Practice Set

11.4 Practice Set KEY

11.5 Practice Set

11.5 Practice Set KEY

Benchmark Assessment:

Unit 11 Review

Unit 11 Review KEY

Unit 11 Assessment

Unit 11 Assessment KEY

Student Background Knowledge:

Understanding of ratios.

Understanding of conversion between fractions, decimals, and percents.

Understanding of algebraic equations.

Essential Questions:

What is probability?

What is an outcome?

What is an event?

How can you diagram events?

Academic Language:

Chances

Events

Diagram

Content Specific Language:

Listed below.

Lesson Plan

Cross-Content Integration:

Researchers conduct probability research for products to determine the likelihood that their product will be successful.  

Web Resources:

Khan Academy

Illustrated Math Dictionary

Video links posted on lesson plans

Research:

CK12.org

Technology Resources:

internet device, calculator

Community Resources:

Content Specific Language:

Combination - A combination is an arrangement of options where order does not make a difference.

Complementary Events - For every probability that something will happen, there is a probability that it won’t happen. These two ratios are complementary events..

Compound events - Compound events are two simple events occurring together, usually expressed as A and B. P(A \ and \ B)=P(A) \cdot P(B)

Dependent events - Events that do depend upon each other are called dependent events.

Event - Any one possible outcome of the experiment is called an event.

Experiment - An experiment is a controlled study.

Experimental probability - The ratio of the proposed outcome to the number of experiment trials is called the experimental probability.

Independent Event - An independent event is an event where the outcome of one event does not have anything to do with the outcome of another event. One does not alter or impact the other.

Mutually exclusive - Events that cannot happen at the same time. Find the probability of mutually exclusive events by: P(A or B) = P(A) + P(B)

Mutually inclusive - Event that can occur at the same time. Find the probability of mutually inclusive events: P(A \ or \ B)=P(A)+P(B)-P(A \cap B)

Odds in favor of an event - The ratio of the number of successful events to the number of non-successful events is called the odds of an event.

Outcomes - The end result is called the outcome.

Permutation - A permutation is an arrangement of options where order does make a difference.

Probability - The probability that something will happen are the chances that something will happen. It can be written as a fraction, decimal, or percent.

Probability simulation - Conducting an experiment for probability purposes is also called probability simulation.

Ratio - Ratios compare two quantities. In probability the ratio compares the number of favorable outcomes to the number of possible outcomes.

Sample Space - The set of all possible outcomes is called the sample space of the experiment.

Theoretical probability - Theoretical probability is a ratio expressing the ways to be successful to the total events in an experiment.

Tree diagrams - A tree diagram is a visual way of showing options and variables in an organized way. The lines of a tree diagram look like branches on a tree.

Venn diagram - A Venn diagram is a diagram of overlapping circles that shows the relationships among members of different sets.