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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...
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Interactive
CK-12 Foundation

Arithmetic Series Sums: Adding Arithmetic Sums

For Students 11th - Higher Ed
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.
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Interactive
CK-12 Foundation

Sum Notation and Properties of Sigma: Cracking the Code

For Students 11th - Higher Ed
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.
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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...
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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 problems. ...
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Lesson Plan
Curated OER

Partial Sums

For Teachers 4th - 6th
Students add numbers and represent digits in extended form. In this extended form lesson plan, students complete this with 2 digit addition problems.
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Worksheet
Curated OER

Partial Pressure and the Kinetic Molecular Theory of Gases

For Students Higher Ed
In this pressure and kinetic theory learning exercise, 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.
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Worksheet
Curated OER

Partial Pressures and the Kinetic Molecular Theory of Gases

For Students 11th - 12th
For this chemistry worksheet, students complete 5 problems on Dalton's Laws of partial pressures. They calculate the mole of gases and their rate of effusion.
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Lesson Plan
Curated OER

Smiling at Two Digit Multiplication!

For Teachers 3rd - 4th Standards
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...
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Interactive
Scholastic

Study Jams! Addition with Regrouping

For Students 2nd - 4th Standards
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...
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Handout
Math Centre UK

Integrating Algebraic Fractions 1

For Students 11th - 12th
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. 
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Lesson Plan
Curated OER

Worksheet 11 - Intervals

For Teachers Higher Ed
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.
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Lesson Plan
Curated OER

Exploring Infinite Series through Baravelle Spirals

For Teachers 9th - 12th
Students 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, visualizations,...
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Worksheet
Curated OER

Worksheet 8 - Spring 1996

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

Ideal Gas Mixtures

For Students 10th - Higher Ed
In this idea gas worksheet, students review Dalton's law of partial pressures, vapor pressure, relative humidity, and dew point. Students answer 3 problems.
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Worksheet
Curated OER

Discussion Sheet 6: Convergence or Divergence

For Students Higher Ed
In this convergence or divergence learning exercise, 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 learning exercise contains...
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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...
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Assessment
Charleston School District

Pre-Test Unit 2: Similar and Congruent

For Students 8th Standards
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. 
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Lesson Plan
Curated OER

Infinite Geometric Series

For Teachers 11th
Eleventh graders investigate infinite geometric series.  In this Algebra II instructional activity, 11th graders explore partial sums of geometric series, converging and diverging series, and sums of infinite geometric series.   The...
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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...
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Worksheet
Curated OER

Worksheet 8

For Students 6th - 8th
In this math worksheet, students consider the harmonic series. They assume that the sums move towards infinity and that they are divergent.
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Lesson Plan
Curated OER

Multiplying by Two-Digit Numbers

For Teachers 6th
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.
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Worksheet
Curated OER

Determine if Series Converge or Diverge in Five Multi-part Problems

For Students 12th - Higher Ed
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.

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