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The Counting Principle In Class Worksheet and Homework Questions
The Counting Principle In Class Worksheet and Homework Questions
The Counting Principle In Class Worksheet and Homework Questions
The Counting Principle In Class Worksheet and Homework Questions
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Description

The in-class worksheet allows students to discover the counting principle by making a sample space for a simple problem. The following questions should help the students realize how quickly the possible outcomes can accumulate and will hopefully spark a conversation of "does order matter," to lead into permutations and combinations. The homework questions give the students a chance to practice making sample spaces and calculating possible outcomes using the counting principle.

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The Counting Principle In Class Worksheet and Homework Questions

Mrs Cascante's Math Class
14 Followers
FREE

Highlights

Digital downloads
Grades icon
Grades
7th - 10th
Pages
4
Answer Key
Included
Teaching Duration
30 minutes

Description

The in-class worksheet allows students to discover the counting principle by making a sample space for a simple problem. The following questions should help the students realize how quickly the possible outcomes can accumulate and will hopefully spark a conversation of "does order matter," to lead into permutations and combinations. The homework questions give the students a chance to practice making sample spaces and calculating possible outcomes using the counting principle.

Report this resource to TPT
Reported resources will be reviewed by our team. Report this resource to let us know if this resource violates TPT's content guidelines.

Reviews

4.9
Rated 4.93 out of 5, based on 10 reviews
10
ratings
5
9
4
1
3
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2
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Well-crafted resource!
Rated 5 out of 5
February 19, 2026
Met expectations
Would purchase more
Helped me during my classes. Fun and engaging to students. Thank you so much for this!
Lory Mae A.
320 reviews
Grades taught: 9th, 10th, 11th, 12th
Rated 5 out of 5
June 24, 2025
My students enjoy this to reinforce concepts we were studying in class. Thank you.
Sue M.
1 review
Grades taught: 10th
Student populations: Learning difficulties
Rated 5 out of 5
May 18, 2025
My students loved this resource! It easily fit into my lesson. Thank you for the resource!
Kelly L.
520 reviews
Rated 4.33 out of 5
May 15, 2019
It's a good resource that works well to establish sample space as a concept and to explain methods of both listing and reasoning out sample spaces. It did a really thorough job of explaining different types and can be used in both introductory classes and for permutations + combinations lessons. Teachers should be alerted that the answer key has some issues; due to repeated outcomes, such as "ham + turkey" being the same as "turkey + ham," the situations listing multiple meats or veggies should actually be divided by k! (k being the number chosen). That is, those should be using combinations, not permutations (which is what the key is using). For example, the "2 meats" situation should be divided by 2, while "3 veggies" should be divided by 6. This should not have any effect on the student sheets, which can be used as-is. This could also be explained away to younger students if one considers ham + turkey to be different from turkey + ham, such as "a veggie for the top, middle, and bottom in order" or "a hot meat and a cold meat," which would allow for the answer key to be correct. The students found it relevant to life and helpful for identifying where sample spaces come from.
Anthony P.
1 review
Mrs Cascante's Math Class
Response from
Mrs Cascante's Math Class
(TPT Seller)
May 16, 2019
Thank you so much for your feedback. I actually teach the counting principle as a precursor to teaching permutations and combinations. I intentionally include those last couple of questions as pure counting principle questions in hopes of sparking a conversation among my students of "is ham/turkey different than turkey/ham." Which then conveniently leads into talking about the difference between permutations and combinations. I can definitely see how the answers would be confusing though if that was not the teacher's intention. Thank you again!
Rated 5 out of 5
December 22, 2017
Clearly written and easy to follow. I was so glad to see the answer sheet was added.
Leah N.
54 reviews
Rated 5 out of 5
September 27, 2016
This is perfect just what I've been looking for to help our students!
Diane M.
2 reviews
Rated 5 out of 5
April 6, 2016
This worked great!
Andria Kelly
(TPT Seller)
13 reviews
Rated 5 out of 5
September 2, 2015
awesome!
Buyer
1 review

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