Elementary Education, Mathematics
Material Type:
Ohio Open Ed Collaborative
Combinations, Counting, Misconceptions, Multiplication, Oode080, Permutations, Probability, Teacher Education, Tree Diagrams
Creative Commons Attribution Non-Commercial Share Alike

Education Standards

Counting and Probability Module

You Can Count On It

This activity is intended to introduce our counting activities.  We use these activities about counting and probability to help cement the meaning of various operations for students.

Compare and Count

This activity is intended to give students a chance to compute basic permutations and combinations, and discuss the similarities and differences among these problems.

You Can Count On It Getting More Difficult

This activity consists of more complicated counting problems.  This activity also introduces counting two separate events using multiplication.  We take significant time to review the groups and objects per group for the multiplication.

Fun With Fractions

This activity serves as our introduction to probability.  We would like students to make connections between the meaning of probability and the definition of fractions, and apply this connection to solve a multi-stage problem.

High Rollers

This activity is intended to introduce students to the notion of experimental probability, as well as to help students start making connections between the counting methods we discussed previously and their application to probability problems.

You Can Count on Probability

In this activity, we take the problems from "You Can Count On It Getting More Difficult'' and rephrase them as probability problems.  We are trying to focus students on whether the outcomes are equally likely, and to continue to make use of the structure of problems by using work they have previously done.

Go Climb A Tree!

This activity introduces students to the notion of using a tree diagram to help calculate probabilities, and emphasizes the relationship between fraction multiplication as we saw when we originally discussed fractions, and fraction multiplication in the situation of probability.  

Taking Chances

As a wrap-up to our discussion of probability, we consider several common misconceptions.  This activity assumes that students are now familiar with counting and probability, and able to step back and consider the concepts involved rather than just focus on solving problems.