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...
CK-12 Foundation
Arithmetic Series Sums: Adding Arithmetic Sums
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.
CK-12 Foundation
Sum Notation and Properties of Sigma: Cracking the Code
Help your class develop an understanding of sigma notation. Pupils match the sigma notation with the sums. Using the expanded sums, learners evaluate the summations. The scholars move on to prove a property of sums.
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
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
Partial Sums
Students add numbers and represent digits in extended form. In this extended form lesson plan, students complete this with 2 digit addition problems.
Curated OER
Partial Pressure and the Kinetic Molecular Theory of Gases
In this pressure and kinetic theory worksheet, students review Dalton's Law of Partial Pressure, the Kinetic Molecular Theory of Gases, and Graham's Law of Effusion. Students then solve 5 problems using these equations.
Curated OER
Smiling at Two Digit Multiplication!
How do I solve a two-digit multiplication problem? Your class tackles this question by walking through problem solving methods. They first investigates and applies traditional multiplication methods, and they then compare those with...
Scholastic
Study Jams! Addition with Regrouping
Zoe needs to back up her music collection, but do her friends have enough space on their computers to help? Find out as you teach your class how to add two- and three-digit numbers with regrouping. Place value is emphasized as both the...
Math Centre UK
Integrating Algebraic Fractions 1
Don't get stuck on the integral when you can incorporate partial fractions. A well-explained guide, there are seven pages and a tutorial video that detail the steps for different types of algebraic fractions.
Curated OER
Worksheet 11 - Intervals
In this interval worksheet, students write a geometric series for the derivatives of a function. Students determine the values of x and where it may converge. This two-page worksheet contains five multi-step problems.
Curated OER
Exploring Infinite Series through Baravelle Spirals
High schoolers are introduced to the concept of convergent infinite series using a recursive geometric construction. They explore the concept of a convergent infinite series using partial sums. Students use formal calculations,...
Curated OER
Worksheet 8 - Spring 1996
In this math worksheet, students sketch the graphs of the functions 1/x 2 and 1/(x2 − 1) over the interval [2, ∞). They rewrite the series using the Riemann sum.
Curated OER
Introduction to Infinite Series
In this infinite series instructional activity, students explore the pattern in a series of numbers. They solve a sequence of partial sums and identify the limit. This two-page instructional activity contains explanations, examples and...
Curated OER
Ideal Gas Mixtures
In this idea gas worksheet, students review Dalton's law of partial pressures, vapor pressure, relative humidity, and dew point. Students answer 3 problems.
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
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...
Charleston School District
Pre-Test Unit 2: Similar and Congruent
A pre-test contains questions about transformations that lead to congruent and similar images. It also covers angle relationships associated with triangles and parallel lines intersected by a transversal.
Curated OER
Infinite Geometric Series
Eleventh graders investigate infinite geometric series. In this Algebra II lesson, 11th graders explore partial sums of geometric series, converging and diverging series, and sums of infinite geometric series. The TI-nspire handheld...
Curated OER
Worksheet 8
In this math worksheet, students consider the harmonic series. They assume that the sums move towards infinity and that they are divergent.
Curated OER
Multiplying by Two-Digit Numbers
In this mathematics worksheet, 6th graders find the product of a given equation. Then they use an array and find the sum of the partial products. Students also use zeros as place holders when necessary.
Curated OER
Determine if Series Converge or Diverge in Five Multi-part Problems
In this series worksheet, students determine if series converge, converges absolutely, or diverge. Students also state what test they used to arrive at their solutions.
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
Discussion Sheet 9
In this math worksheet, learners determine the convergence and divergence for each series using the test that is indicated. They also compute the partial sum and determine the error.
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