| 
  • If you are citizen of an European Union member nation, you may not use this service unless you are at least 16 years old.

  • You already know Dokkio is an AI-powered assistant to organize & manage your digital files & messages. Very soon, Dokkio will support Outlook as well as One Drive. Check it out today!

View
 

7-D-2-3

Page history last edited by Brenda Butz 6 years, 2 months ago

7.D.2.3 Use proportional reasoning to draw conclusions about and predict relative frequencies of outcomes based on probabilities.


In a Nutshell

Outcomes of certain events, such as choosing a card from a deck or rolling a die, can be used to determine how often that event would happen if the experiment were scaled up or down. For example, how often will you draw an Ace from an entire deck if you have a 1/13 chance of drawing one in one suit?

Student Actions

Teacher Actions

  • Develop the ability to make conjectures, models and generalize the effect of scaling an experiment.

  • Develop the ability to communicate mathematically the relative frequency when performing experiments as a way to compare the results as relative frequencies to a known probability.

  • Develop the ability to make conjectures and generalize outcomes based on probability by making predictions based on given situation. 

  • Implement tasks that promote reasoning and problem solving by providing a multitude of real-life scenarios from which proportions can be used to identify how often events will occur based off past experiences.
  • Use and connect mathematical representations of proportional reasoning such as histograms or tables .

  • Make histograms of data collected or from a table, including histograms of relative frequencies to real world situations.

  • Pose purposeful questions about events and use evidence from previous events to draw conclusions and  make predictions about future events. 

Key Understandings

Misconceptions

  • Find probability of a given a set of data.

  • Express probabilities in the three different ways:  percent, decimal and fraction.

  • Predict the number of times an event can occur based on probability of the event.

  • Use the term 'relative frequency' when performing experiments as a way to compare the results as relative frequencies to a known probability.

  • Students may believe that to be "fair," everything should have an equal chance of happening in a sampling experiment;

  • Students may predict likelihood based on absolute rather than relative size;

  • Students may create "part to part" rather than "part to whole" relationships to determine probability;

  • Students may predict the outcome of the next trial in an experiment rather than what is likely to occur;

  • Students may use Intuition and hunches, often misleading, to predict likelihood.

  • Students may believe that all outcomes have the same chance of happening.

 


OKMath Framework Introduction

7th Grade Introduction

 

 

 

Comments (0)

You don't have permission to comment on this page.