ALEX Classroom Resource

  

Tree Diagrams StudyJam

  Classroom Resource Information  

Title:

 Tree Diagrams StudyJam

URL:

 https://studyjams.scholastic.com/studyjams/jams/math/probability/tree-diagrams.htm

Content Source:

 Other
http://studyjams.scholastic.com/
Type: Interactive/Game

Overview:

In this interactive activity, students will be led through steps to create a tree diagram to identify the probability of a particular event occurring. There are teaching activities as well as practice activities available. After utilizing this resource, the students can complete the short quiz to assess their understanding.

Content Standard(s):
Mathematics
MA2019 (2019)
Grade: 7
16. Find probabilities of simple and compound events through experimentation or simulation and by analyzing the sample space, representing the probabilities as percents, decimals, or fractions.

a. Represent sample spaces for compound events using methods such as organized lists, tables, and tree diagrams, and determine the probability of an event by finding the fraction of outcomes in the sample space for which the compound event occurred.

b. Design and use a simulation to generate frequencies for compound events.

c. Represent events described in everyday language in terms of outcomes in the sample space which composed the event.

Unpacked Content
Evidence Of Student Attainment:
Students:
  • Conduct probability experiments to quantify and interpret likeliness of an event occurring.
  • Design and use a simulation to generate frequencies for compound events
  • Analyze the results from a simulation of a compound event to estimate the probability of the compound event.
  • Represent probabilities as percents, decimals, and fractions.
Teacher Vocabulary:
  • Tree diagram
  • Compound probability
  • Simulation
  • Sample space
  • Event
Knowledge:
Students know:
  • how the sample space is used to find the probability of compound events.
  • A compound event consists of two or more simple events.
  • A sample space is a list of all possible outcomes of an experiment.
  • how to make an organized list.
  • how to create a tree diagram.
Skills:
Students are able to:
  • find probabilities of compound events using organized lists, tables, tree diagrams and simulations
  • Represent sample spaces for compound events using methods such as organized lists, tables and tree diagrams.
  • For an event described in everyday language (e.g., "rolling double sixes"), identify the outcomes in the sample space which compose the event.
  • Design a simulation to generate frequencies for compound events.
  • Use a designed simulation to generate frequencies for compound events.
Understanding:
Students understand that:
  • the probability of a compound event is the fraction of outcomes in the sample space for which the compound event occurs.
  • A compound event can be simulated using an experiment.
Diverse Learning Needs:
Essential Skills:
Learning Objectives:
M.7.16.1: Define simple events and compound events.
M.7.16.2: Discover when to add or multiply events to find probability of compound events.
M.7.16.3: Recall how to find the probability of simple events.
M.7.16.4: Demonstrate adding and multiplying fractions.
M.7.16.5: Recognize how to obtain a common denominator when adding fractions.
M.7.16.6: Recall how to add fractions with like denominators.
M.7.16.7: Define simulation, frequency, and compound events.
M.7.16.8: Recall how to find the probability of compound events.
M.7.16.9: Create a tree diagram including all possible outcomes.
M.7.16.10: Choose appropriate model to display outcomes (tree diagram, organized list, or table).
M.7.16.11: Identify the desired outcomes in model. M 7.16.12: Create and use a simulation to illustrate compound events.
M.7.16.13: Recall when to add or multiply events to find probability of compound events.
M.7.16.14: Recall how to find the probability of simple events.
M.7.16.15: Demonstrate adding and multiplying fractions.
M.7.16.16: Recognize how to obtain a common denominator when adding fractions.
M.7.16.17: Recall how to add fractions with like denominators.
M.7.16.18: Recall how to construct a table.

Prior Knowledge Skills:
  • Recall addition and subtraction of fractions as joining and separating parts referring to the same whole.
  • Identify two fractions as equivalent (equal) if they are the same size or the same point on a number line.
  • Recognize and generate simple equivalent fractions, e.g., 1/2 = 2/4, 4/6 = 2/3. Explain why the fractions are equivalent, e.g., by using a visual fraction model.
  • Generate equivalent fractions.
  • Recall how to read a graph or table.
Mathematics
MA2019 (2019)
Grade: 7
Accelerated
32. Find probabilities of simple and compound events through experimentation or simulation and by analyzing the sample space, representing the probabilities as percents, decimals, or fractions.

a. Represent sample spaces for compound events using methods such as organized lists, tables, and tree diagrams, and determine the probability of an event by finding the fraction of outcomes in the sample space for which the compound event occurred.

b. Design and use a simulation to generate frequencies for compound events.

c. Represent events described in everyday language in terms of outcomes in the sample space which composed the event. [Grade 7, 16]
Unpacked Content
Evidence Of Student Attainment:
Students:
  • Conduct probability experiments to quantify and interpret likeliness of an event occurring.
  • Design and use a simulation to generate frequencies for compound events
  • Analyze the results from a simulation of a compound event to estimate the probability of the compound event.
Teacher Vocabulary:
  • Tree diagram
  • Compound probability
  • Simulation
  • Sample space
  • Event
Knowledge:
Students know:
  • how the sample space is used to find the probability of compound events.
  • A compound event consists of two or more simple events.
  • A sample space is a list of all possible outcomes of an experiment.
  • how to make an organized list.
  • how to create a tree diagram.
Skills:
Students are able to:
  • find probabilities of compound events using organized lists, tables, tree diagrams and simulations
  • Represent sample spaces for compound events using methods such as organized lists, tables and tree diagrams.
  • For an event described in everyday language (e.g., "rolling double sixes"), identify the outcomes in the sample space which compose the event.
  • Design a simulation to generate frequencies for compound events.
  • Use a designed simulation to generate frequencies for compound events.
Understanding:
Students understand that:
  • the probability of a compound event is the fraction of outcomes in the sample space for which the compound event occurs.
  • A compound event can be simulated using an experiment.
Diverse Learning Needs:
Tags: combination, event, outcome, probability, tree diagram
License Type: Custom Permission Type
See Terms: http://www.scholastic.com/terms.htm
For full descriptions of license types and a guide to usage, visit :
https://creativecommons.org/licenses
Accessibility
Comments

The quiz may be completed as a whole group or independently on student devices.

Scholastic StudyJams is a free resource for teachers.  Teachers do not need to create an account to access the resources available.

  This resource provided by:  
Author: Hannah Bradley
This site may contain links to other websites or content belonging to or originating from third parties or links to websites and features in banners or other advertising. Such external links are not investigated, monitored, or checked for accuracy, adequacy, validity, reliability, availability, or completeness by us. WE DO NOT WARRANT, ENDORSE, GUARANTEE, OR ASSUME RESPONSIBILITY FOR THE ACCURACY OR RELIABILITY OF ANY INFORMATION OFFERED BY THIRD-PARTY WEBSITES LINKED THROUGH THIS SITE.
Copyright © 2017, Alabama Learning Exchange
Alabama State Department of Education
Alabama State Department of Education