When math students are able to visualize square numbers as actual square shapes, they are on their way to creating a link between calculations and geometry. This increases their ability to create mental models of mathematical equations and gives them increased understanding of mathematical relationships. All of which take time and problem solving opportunities to develop.
This series of activities involve students in exploring some of the fascinating patterns that can be found in mathematics. These explorations are worthwhile all on their own, yet they can be used to complement and extend concepts such as multiplication, area and perimeter, geometry, or mathematical vocabulary.
One reason that patterns are so useful in mathematics is that they help us see the bigger picture. When looking at a series of squares, for example, it is easy to tell if any are missing. Students quickly notice that the sides of the squares increase by one as the squares grow larger.
Use the activities linked below to introduce your students to square numbers and to help them take a new look at square shapes.
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