Lesson Plan
Curated OER

Worksheet 32 - Sequence

For Teachers Higher Ed
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.
Interactive
CK-12 Foundation

Sequence of Partial Sums: Partial Sums

For Students 11th - Higher Ed
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...
Assessment
1
1
Balanced Assessment

Local and Global Behavior

For Students 11th - 12th Standards
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...
Assessment
1
1
Balanced Assessment

Genetic Codes

For Students 11th - 12th Standards
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.
Assessment
Inside Mathematics

Hexagons

For Teachers 9th - 12th Standards
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.
Assessment
Noyce Foundation

Toy Trains

For Teachers 6th - 7th Standards
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...
Lesson Plan
Curated OER

Finding The Sum of an Infinite Series

For Teachers 9th - 12th
Students 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...
Lesson Plan
Curated OER

Geometric Sequences and Series

For Teachers 9th - 12th Standards
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...
Lesson Plan
Curated OER

Sequences and Linear Equations

For Teachers 8th - 10th
Students identify the formula to find the nth term. In this algebra instructional activity, students finish a pattern and identify missing parts in a sequence. They write an equation given a partial sequence.
Worksheet
Curated OER

Discussion Sheet 6: Convergence or Divergence

For Students Higher Ed
In 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.
Handout
Curated OER

Math Handbook: Calculus

For Students 10th - 12th
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...
Worksheet
Curated OER

Arithmetic Series, Geometric Series, Partial Sums of Geometric Series

For Students 11th - 12th
In this Algebra II/Pre-calculus worksheet, students solve problems that involve arithmetic series and infinite geometric.  Students determine the partial sums of a geometric series. The three page worksheet contains forty-six...
Worksheet
Curated OER

College Calculus

For Students Higher Ed
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...
Assessment
Inside Mathematics

Aaron's Designs

For Teachers 8th Standards
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...
Lesson Plan
Texas Instruments

Serious Series

For Teachers 9th - 12th Standards
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...
Worksheet
Curated OER

Introduction to Infinite Series

For Students Higher Ed
In this infinite series worksheet, students explore the pattern in a series of numbers. They solve a sequence of partial sums and identify the limit. This two-page worksheet contains explanations, examples and approximately five problems.
Lesson Plan
Curated OER

Everyday Mathematics: Multiples of 10

For Teachers 3rd - 5th
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.
Lesson Plan
Curated OER

Cooking With Cuisinaires

For Teachers 2nd
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...
Lesson Plan
Curated OER

The Life Cycle of the Mealworm

For Teachers 4th
Fourth graders provide a habitat for live mealworms and observe their life cycle. In this animal life cycle and scientific inquiry lesson plan, 4th graders create a habitat for a live mealworm and observe and record related data as it...
Worksheet
Curated OER

Worksheet 7

For Students 11th - Higher Ed
For 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.
Worksheet
Curated OER

Worksheet 10 - Spring 1996

For Students 11th - Higher Ed
In this math worksheet, students investigate how a series can apply the law of convergence. They also test the functions using convergence.
Activity
Richland Community College

Richland Community College: Math 116 Lecture Notes

For Students 9th - 10th Standards
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."