Toothpick Triangles

Put on your thinking caps because middle school math has never been more interesting in this huge resource full of thought provoking questions. Written as a newsletter, the resource has 10 two-page newsletters with a variety of...

Natural human interest in patterns and algebraic study of function notation are linked in this introductory unit on the properties of sequences. Once presented with a pattern or situation, the class works through how to justify...

For this number patterns and sequences worksheet, students find 7 formulas to represent a sequence.  Students use a chart with sequences and they must find a formula to represent each sequence.

Building upon previous knowledge of sequences, collaborative pairs analyze sequences to determine the type and to make predictions of future terms. The exercises build through arithmetic and geometric sequences before introducing...

This video again looks at finding the algebraic pattern in sequences. In the example, we are looking at a figure where a number of toothpicks (or lines) are added each time. You need to find how many toothpicks will be in the 50th...

This video looks again at finding the algebraic pattern in sequences. In the example, we are looking at a figure where several toothpicks (or lines) are added each time, and you need to find how many toothpicks will be in the 50th...

Faced with a series of numbers, we need to find the following few values of the sequence. This short video shows an example of finding the following values in a sequence where we must find the pattern of adding a specific number each...

What comes next? Scholars view a video that explains how to determine the next figure in a pattern. They connect the figures to arithmetic sequences and write explicit formulas for the patterns.

Finding patterns—seems easy enough. High schoolers learn the definition of a sequence in a concept video. Four problem videos then cover finding a particular term of a sequence given an explicit formula and identifying arithmetic...

Old mathematicians never die; they just lose some of their functions. Studying sequences gives scholars an opportunity to use a new notation. Learners write functions to model arithmetic and geometric sequences and use them to find new...