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Curated OER
Worksheet 32 - Sequence
In this sequence worksheet, students explain the definition of a convergent sequence and draw models of sequences. This two-page worksheet contains four multi-step problems.
CK-12 Foundation
Sequence of Partial Sums: Partial Sums
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...
Balanced Assessment
Local and Global Behavior
Create rules for numerical sequences. Pupils develop local rules and recursive rules for number sequences. The sequences are linear, quadratic, and cubic in nature. Scholars find that some local rules do not work, no matter where in...
Balanced Assessment
Genetic Codes
Determine the number of possible genetic codes. Class members are challenged to determine the number of possibilities of a genetic code that is 20 bases long. They continue to explore the average lengths of broken RNA molecules.
Inside Mathematics
Hexagons
Scholars find a pattern from a geometric sequence and write the formula for extending it. The worksheet includes a table to complete plus four analysis questions. It concludes with instructional implications for the teacher.
Noyce Foundation
Toy Trains
Scholars identify and continue the numerical pattern for the number of wheels on a train. Using the established pattern and its inverse, they determine whether a number of wheels is possible. Pupils finish...
Curated OER
Finding The Sum of an Infinite Series
Learners examine finding the sum of an infinite series as the limit of partial sums. Through hands-on activities, students create their own sequence by finding the area of a square and then cutting it in half-sized pieces. They write...
Curated OER
Geometric Sequences and Series
Learn to calculate the nth term of a sequence defined by an algebraic expression. They examine geometric sequences and series, relate geometric sequences to their explicit forms, find the partial sums of a sequence in a table, and...
Curated OER
Sequences and Linear Equations
Students identify the formula to find the nth term. In this algebra lesson, students finish a pattern and identify missing parts in a sequence. They write an equation given a partial sequence.
Curated OER
Discussion Sheet 6: Convergence or Divergence
For this convergence or divergence worksheet, students perform tests for convergence or divergence. They estimate the sum in a series and determine the value of the convergent series. This one-page worksheet contains three problems.
Curated OER
Math Handbook: Calculus
If only there was a reference that listed all the formulas covered in calculus. Luckily, there is. This comprehensive 197-page handbook provides formulas and explanations for all topics in AP Calculus or in a standard college calculus...
Curated OER
Arithmetic Series, Geometric Series, Partial Sums of Geometric Series
In this Algebra II/Pre-calculus activity, students solve problems that involve arithmetic series and infinite geometric. Students determine the partial sums of a geometric series. The three page activity contains forty-six...
Curated OER
College Calculus
In this college level Calculus worksheet, students examine sequences to determine if they are increasing, decreasing, or non monotonic. Students find the sum of series and determine if they diverge. The one page...
Inside Mathematics
Aaron's Designs
Working with transformations allows the class to take a turn for the better. The short assessment has class members perform transformations on the coordinate plane. The translations, reflections, and rotations create pattern designs on...
Texas Instruments
Serious Series
High schoolers are introduced to infinite series, geometric and telescoping series as well as the relationship between the sequence of partial sums of a series and its sum. They apply symbolic capacity of their calculator and calculus to...
Curated OER
Introduction to Infinite Series
In this infinite series activity, students explore the pattern in a series of numbers. They solve a sequence of partial sums and identify the limit. This two-page activity contains explanations, examples and approximately five problems.
Curated OER
Everyday Mathematics: Multiples of 10
In this multiples of 10 worksheet, students sharpen their math skills as they learn to use multiples of 10 to help them with division and then try the 2 extra practice activities.
Curated OER
Cooking With Cuisinaires
Second graders explore fraction with Cuisenaire Rods. In this fraction lesson, 2nd graders recieve "recipe" cards for adding fractions. After practicing, students create their own cards then exchange with each other to...
Curated OER
The Life Cycle of the Mealworm
Fourth graders provide a habitat for live mealworms and observe their life cycle. In this animal life cycle and scientific inquiry lesson, 4th graders create a habitat for a live mealworm and observe and record related data as it grows....
Curated OER
Worksheet 7
In this math worksheet, students examine the values of the series and determine how they could be defined as divergent. They also evaluate the Squeeze Theorem.
Curated OER
Worksheet 10 - Spring 1996
In this math instructional activity, learners investigate how a series can apply the law of convergence. They also test the functions using convergence.
Richland Community College
Richland Community College: Math 116 Lecture Notes
This site from the Richland Community College provides the detailed lecture notes to a college algebra course, complete with equations and definitions. Content ranges from "functions and their graphs" to "conics and parametric equations."