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...

To say it explicitly—put the terms in order. Pupils learn about the two main sequences, arithmetic and geometric and discover the general explicit formulas for both types. Using the formulas, learners then calculate specific terms of the...

Sum up the shortcuts. The interactive allows pupils to discover a shortcut in finding a partial sum of an arithmetic series. Learners use the shortcut to find other sums and to verify the process.

Fall for a series. Learners determine how to find out how far a skydiver falls in the first 20 seconds. The Algebra II lesson plan introduces the idea of adding up the terms of an arithmetic sequence. Pupils learn how to use Sigma...

How long does it take to pay off a loan? Pupils use a graph to model the sequence associated with paying off a loan. Using the graph, learners determine the initial value and the common difference of the arithmetic sequence. The learners...

Fibonacci is an interesting sequence that forms some unique patterns. Learners explore sequences that do not have the typical arithmetic and geometric patterns. They identify the pattern and find the next consecutive terms....

Explicitly talk to the class about sequences. A segment of a review series for the General Certificate of Secondary Education math assessment provides a review of arithmetic sequences. Pupils watch a video showing how to find terms given...

Place a lesson on sequences in your sequence of lessons. Scholars first learn the basics of geometric sequences, such as common ratios and then they write recursive and explicit formulas for geometric sequences.

Common difference is to arithmetic sequences as what is to linear equations? (Answer: slope) Pupils learn how arithmetic sequences can be considered as linear patterns. They then write linear equations to represent arithmetic...

Work through a sequence in discovering number patterns. Using the interactive, pupils explore arithmetic and geometric sequences by setting the initial value and the common difference or ratio. Learners distinguish between the two types...

What does it mean if young mathematicians cannot put the squeeze on a sequence? Learners investigate a divergent sequence and find the formula for the nth term. Using the definition of a limit of a sequence, pupils try to find the limit...

Build an explicit formula using tiles. Pupils develop a tile representation of a term within a sequence given figures of previous terms. Using the diagrams, learners develop the explicit formula by recognizing the common difference and...

Take steps into sequences. An 11-lesson unit builds upon pupils' previous understanding of writing expressions to develop the idea of sequences. The resource explores both arithmetic and geometric sequences using recursive and explicit...

Math is all fun and games! Use a game strategy to introduce the concept of sequences and their recursive formulas. The activity emphasizes notation and vocabulary.

Find a faster way to determine the 100th term of a sequence. Learners watch a video providing instruction on a way to find the nth term of a sequence—without writing down all the previous terms. Scholars create explicit formulas for...

Write formulas that depend upon previous terms. Individuals watch a video that explains how to create a recursive formula based on a sequence of numbers. Learners find out how to determine whether a sequence is geometric or arithmetic...

Perform the operation ... and then do it again. Scholars investigate recursive formulas by creating and graphing them. Using the interactive, pupils set the variable, determine the initial value, and type in a recursive formula.The...

Add it all together. Pupils learn how Gauss was able to add the numbers from 1 to 100 so quickly and arrive at a formula to find the sum of a given number of terms of an arithmetic series. Scholars learn the formula to find the sum for a...

Finding patterns is an essential skill for mathematicians of all ages. Follow along with Zoe as she walks step-by-step through the process of identifying and completing number patterns. Work through the Try It! problems as a whole class...

Algebra concepts are all wrapped up in one nice bow. The resource combines all the concepts typically found in Algebra I and Algebra II courses in one eBook. The topics covered begin with solving linear equations and move to linear...

Is there more to college algebra than this? Even though the eBook is designed for a college algebra course, there are several topics that align to Algebra II or Pre-calculus courses. Topics begin with linear equation and inequalities,...

Move on into trigonometry. An informative eBook takes the content of a College Algebra course and adds more relating to trigonometry and trigonometric functions. The content organization allows pupils to build upon their learning by...

Mathematics is all about patterns. Young mathematicians analyze geometric patterns to write algebraic expressions. They use the expressions to predict future stages of the patterns.

Take a step beyond Algebra 2. Learners use the eBook to learn concepts from the typical Precalculus course. Content starts off with a short review of functions in general and moves on to the basic functions, finishing up with more...