Counting Practice! Fundamental Counting Principle

Learning Resource Type

Learning Activity

Subject Area

Mathematics

Grade(s)

9, 10, 11, 12

Overview

This lesson includes a teaching video and has a Desmos card match activity where students are practicing their skills using the Fundamental Counting Principle. The video and card match activity will allow students to apply their knowledge of the Fundamental Counting Principle by solving problems and self-checking their results.

Phase

During/Explore/Explain
Mathematics (2019) Grade(s): 09-12 - Applications of Finite Mathematics

MA19.FM.7

Develop and use the Fundamental Counting Principle for counting independent and dependent events.

UP:MA19.FM.7

Vocabulary

  • Fundamental counting principle
  • Independent events
  • Dependent events
  • Tree diagram
  • Branches
  • Node

Knowledge

Students know:

  • How to construct a tree diagram.

Skills

Students are able to:

  • Count the number of events when given a variety of constraints/parameters when the Fundamental Counting Principle can be applied.

Understanding

Students understand that:

  • The Fundamental Counting Principle can be applied in contexts where an ordered list of events occur and there are a ways for the first event to occur, b ways for the second event to occur so the number of ways of the ordered sequence of events occuring is axb.

Body

  1. Develop and use the Fundamental Counting Principle for counting independent and dependent events. a. Use various counting models (including tree diagrams and lists) to identify the distinguishing factors of a context in which the Fundamental Counting Principle can be applied.
    Example: Apply the Fundamental Counting Principle in a context that can be represented by a tree diagram in which there are the same number of branches from each node at each level of the tree.

Learning Objectives

Students will use various counting models to develop and use the Fundamental Counting Principle for counting independent and dependent events.

Activity Details

  1. The teacher will teach the Fundamental Counting Principle using the following Fundamental Counting Principle video.
  2. After the students have watched the video, the teacher will direct the students to the Desmos Activity "Fundamental Counting Principle Practice" on the classroom devices.
  3. The teacher will instruct the students to match a problem to the correct answer.
  4. Students will check and correct any problem they miss during the activity. Students can check their answers by selecting the icon at the top of the slide with a checkmark and x.  
  5. At the end of the class, the teacher will rework problems with the entire class that cause difficulty. 

Assessment Strategies

Students will match cards and self-check the answers using Desmos.  Students can check their answers by selecting the icon at the top of the slide with a checkmark and x.  

 

 

Variation Tips

  • Students could work in pairs if there is a limited number of devices.
  • The problems could also be worked in a whole group situation if no devices exist.
  • The teacher can work with the whole class on any of the problems that students struggle to work with during the activity.

 

The teacher will need to set up a free Desmos account if he/she does not have an account. You can create a free Desmos account using any existing email on teacher.desmos.com, or sign up through an existing Google account.

The teacher can use this same log-in to save work in Desmos Graphing Calculator or Geometry components.

 

Background / Preparation

The teacher will need to ensure the classroom has the following:

  1. Internet connection (WiFi).
  2. The teacher will need to determine how he/she will display the teaching video.
  3. Classroom set of computers, iPads, or smart devices. (If allowed students can use their own personal devices.)
  4. Prior to the lesson, the teacher will need to assign the activity Fundamental Counting Principle Practice.
  5. Prior to the lesson, the teacher should be familiar with Desmos and should create a free class code for the activity. If the teacher does not have a Desmos account, he/she will need to create a free Desmos account.
  6. Prior to the lesson, the teacher should work through the activity and be prepared to address questions. 

Learning Activity (Before)

What's For Dinner? Discovering Your Choices!

Learning Activity (During)

Counting Practice! Fundamental Counting Principle

Learning Activity (After)

Go, Stop, Slow - Here's What I Know - Fundamental Counting Principle Exit Ticket
Fundamental Counting Principle Desmos Card Match
https://teacher.desmos.com/activitybuilder/custom/62be0a6423aac15f8a0b323e

Approved Date

Owner (Author)

mrswhite
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