Lower Elementary3 more
Math

How to Make Do With the Few Things You Got-- Permutations and Combinations

A fundamental principle of counting is making a math event happen in a variety of ways.
A Collection By Mary Page
  • 8 Collection Items
  • 8 Collection Items
  • Discussion
How to Make Do With the Few Things You Got-- Permutations and Combinations
  • mathsisfun.com
    mathsisfun.com

    The Basic Counting Principle

    5 minute read
    Mary Page says:
    Definition and examples of basic counting principle using tree technique. It helps on these problems to have the definition memorized so as to visually demonstrate it. Students love to count especially candy in the jar every week. Taking that basic skill and laying the foundation for college level counting shows them knowledge is to be added to and improved.
  • Mary Page says:
    A video using ice cream as the fundamental principle of counting. Ice cream is sold in school cafeterias making it a ready made concept for full development. It also teaches about choices and possibilities so develops a child's sense of fairness.
  • Mary Page says:
    A game for practicing word problems based on the fundamental principle of counting. Word problem language is some what specific for this type of problem so reading that gives a scaffold to develop thinking on it. Some pieces of math needs the language specifically bounded so the thinking remains pure otherwise you will get off track every time.
  • Mary Page says:
    Tying mathematics to favorite past times such as sports makes acquiring math so much easier. Boys love sports often and so do many girls. It is a real life application of counting as they learn the trees for creating play offs among teams or managers who have ways to randomize or order players for a game. At risk students do much better if you find something in their life to drop the math in.
  • Mary Page says:
    Videos of different ways to solve problems of the fundamental principle of counting. By listening to the talk and seeing the visual most often will sink into the long term memory.Some people need the combination of a human movement with a voice with an example to learn. Others need each piece isolated so even a simple concept like counting has to be presented in a variety of ways. Students need to experiment with this to see which type of learner dominates in them.
  • Mary Page says:
    Six kinds of problems using tree diagrams including a Happy Birthday activity sure to realign a group. Having six ways you can see the different approaches by how the problem is worded making test items easy. It allows a student to pick the approach that works best for their thinking process. Putting trees in the hallway makes math an art activity and all students benefit. Those at risk students explaining their tree develop presentation skills and organized thinking approaches.
  • Mary Page says:
    A lesson showing several methods of tracking the fundamental principle of counting at a Jr. High level. State exams present the concept from several perspectives so activities need to do that as well. Language of algebra enters full force in Jr. High and counting activities is an easy place to improve student vocabulary.
  • Mary Page says:
    Multiply the number of possibilities each event of the task can occur. It takes several readings over time for the fundamental principle of counting to set in. We live in a democracy and even in math you get choices. This tie in of democracy and choices thrills students especially when they perceive they have less than everyone else. You show them creatively by math how to make it look like so much more.
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