Take a look at another alternating sequence. The resource provides a graphical display of a sequence that alternates between two values. Pupils use the display to determine whether the sequence has a limit. Given a theory of limit,...

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...

Take the first step into graphing sequences. Learners set the starting number, multiplier, add-on, and the number of steps for a sequence. Using the inputs, the interactive calculates and plots the sequence on the coordinate plane. Users...

Explore the farm to table experience in a fast-paced lesson on gardening. The activity uses image sequencing to help young scholars understand the process of growing food from seed to harvest. Academics also participate in group...

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...

Limit the view of sequences on both sides of the axis. Learners explore an alternating sign sequence. Using a graphical display of the first 10 terms of the sequence, pupils determine the formula for the general term. they then use the...

Put a squeeze on a sequence. An interactive provides a graphical display of a sequence. Using the graph, learners determine the algebraic expression for the sequence. Pupils use the general definition of a limit of a sequence to find the...

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...

Oncologists use DNA sequence data to identify specific cancers and offer more targeted treatments. Grasp an understanding of the complexity involved by learning how the body sequences and assembles DNA. Eager scientists explore the...

Frederick Sanger won two Nobel prizes for protein sequencing and DNA sequencing. Young scientists learn about Dr. Sanger's research and amazing discoveries. They read an article and a biography, view videos and animations, and apply...

Explore a geometric sequence model through a simulation. Learners change the starting drop height of a ball and watch how the heights of following bounces change. They consider the ratio of the consecutive bounces as they analyze...

How closely are animals related? Check their phylogenetic trees! The use of DNA sequencing altered our understanding of these relationships. Individuals explore and gain a better understanding of how scientists sort, align, and determine...

DNA is like the fingerprint of genetics. A quick lesson introduces the topic of DNA sequences with a mystery about an endangered species. The lesson shows how DNA extraction, replication, and sequencing often provide undeniable evidence...

Have some fun building squares out of triangles. Pupils investigate the partial sums of odd numbers. Using the sum of the first four odd numbers, learners see that it can be rewritten as a sum containing a triangular number. Simplifying...

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...

Explore the building blocks of the Fibonacci Sequence. Given the lengths of sides of squares, pupils deduce the pattern to determine the lengths of two more squares. Learners continue to work with recursive formulas to generate numerical...

Show budding mathematicians how to model a diminishing bacteria colony two ways—graphically and algebraically. Using the coordinate axis, pupils create a graph to represent the decay of a bacteria colony. They determine the number of...

In this sequencing and "nth" term worksheet, students solve 8 problems, writing next terms in sequences, giving expressions for "nth" terms and finding 20th terms. Answers and hints are available on-line; a reference web site for...

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...

In this geometry learning exercise, students answer questions about geometric and arithmetic sequences. This lesson is an online interactive lesson.

Topple misunderstandings of geometric sequences. Using a context of creating ever-increasing sizes of dominoes, pupils develop a geometric sequence. The scenario provides the size of the first domino and the common ratio between...

Training for battle is really a set of sequences, just like computer science. Scholars program a code that guides Diana from Wonder Woman through a path that avoids her enemies. They learn about how sequences play a role in computer...

Make Mary Poppins proud. Young computer scientists use block-based coding to create snowflake animations with a Mary Poppins theme. They learn how to apply sequences, actions, and loops in computer science.