Virginia Department of Education
Partial Pressure
At some point, everyone has been under pressure—even Dalton! Explore Dalton's law of partial pressures with young chemists as they measure the volume of air extracted from a sample compared to its original volume. Class members perform...
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 the...
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 learning exercise 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 by developing an algebraic...
Curated OER
Finding The Sum of an Infinite Series
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...
Curated OER
Sequences and Linear Equations
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.
Curated OER
Discussion Sheet 6: Convergence or Divergence
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.
Curated OER
How DNA Controls the Workings of the Cell
In this DNA worksheet, students compare the DNA sequence of a human and a cow to complete 4 fill in the blank questions and 4 short answer questions.
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
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
Geometric Sequences and Series
Learners find common ratios of geometric sequences on a spreadsheet. Using this data, they create scatter plots of the sequences to determine how each curve is related to the value of the common ratio. They will consider whether series...
Curated OER
Arithmetic Series, Geometric Series, Partial Sums of Geometric Series
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 problems. ...
Curated OER
College Calculus
In this college level Calculus learning exercise, 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 learning...
Virginia Department of Education
Thermochemistry: Heat and Chemical Changes
What makes particles attract? Here, learners engage in multiple activities that fully describe colligative properties and allow the ability to critically assess the importance of these properties in daily life. Young chemists conduct...
Virginia Department of Education
Vapor Pressure and Colligative Properties
Hate to vacuum, but enjoy using a vacuum pump? Explore a lesson plan that starts with a demonstration of boiling water at various temperatures by using a vacuum pump. Then scholars design their own experiments to measure vapor pressure...
Virginia Department of Education
Molar Volume of a Gas
What is a chemist's favorite plant? Stoichiome Tree! Scholars produce hydrogen gas by reacting magnesium with hydrochloric acid. Then they calculate the molar volume of the gas produced before answering assessment questions.
Film English
Theo’s Story
Encourage your class to consider a beautiful short film about a boy named Theo who happens to be visually impaired. Over the course of the lesson, pupils work in pairs, discuss their ideas and the film as a class, view the film, take...
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
Who Was Here First? Relative Dating
Learners read about and complete question activities for the topic of relative dating. In this relative dating lesson, students read information for the topic and then complete two activities to further their understanding of geologic...
Curated OER
Introduction to Infinite Series
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.