Interactive
CK-12 Foundation

Sums of Geometric Series

For Students 11th - Higher Ed Standards
Geometric series either get bigger or approach a single number. So, how do you know which it is? An interactive presents three different geometric series with varying common ratios. With the aid of patterns, pupils determine values of r...
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.
Interactive
CK-12 Foundation

Sums of Finite Arithmetic Series: Triangular Numbers

For Students 11th - Higher Ed
Using a slider, scholars build triangular numbers and their associated rectangles and use the geometric display to find the pattern to determine the next triangular number. They then relate that number to the area of the rectangle to...
Interactive
CK-12 Foundation

Binomial Distributions and Probability: Roll One!

For Students 9th - 12th
It takes exactly one to win. Pupils calculate the probability of rolling five dice and having only a single die come up with a one. Learners calculate the number of expected wins out of a series of games. The interactive provides...
Interactive
CK-12 Foundation

Overview of Percents: Play Checkers

For Students 6th - 8th Standards
Bet classes didn't know playing checkers help with understanding percents. An interesting interactive has pupils consider a series of moves in checkers. It then requires them to answer a set of challenge questions on percentages...
Interactive
CK-12 Foundation

Decimals as Mixed Numbers

For Students 6th - 8th Standards
A five-question interactive boosts scholars' knowledge of decimals and mixed numbers. Moveable base 10 blocks assist mathematicians in answering a series of multiple-choice and true or false questions. A discussion concludes the...
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...
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.
Interactive
CK-12 Foundation

Simplify Sums or Differences of Single Variable Expressions: Addition and Subtraction of Like Terms

For Students 7th - 9th Standards
Investigate the process of combining like terms using an interactive animation. Scholars tackle simplifying expressions by manipulating rectangles that represent the terms. They add and subtract terms to arrive at the result.
Interactive
CK-12 Foundation

Function Rules for Input-Output Tables: Function Machine 2

For Students 6th - 9th Standards
Model function operations using a function machine. An interactive lesson has learners determine the patterns of a double function machine. They use the patterns to write functions and make connections between the inputs and outputs.
Interactive
CK-12 Foundation

Ck 12: Plix Series: Projectile Motion: Object Launched Horizontally

For Students 9th - 10th
[Free Registration/Login Required] Use the interactive diagram to solve a projectile motion problem. After the activity, answer a challenge question to check for understanding.
Interactive
CK-12 Foundation

Ck 12: Plix Series: Uniform Acceleration

For Students 9th - 10th
[Free Registration/Login Required] Using the average acceleration formula, calculate the velocity of a falling ball, and then check your answer by dragging the point along the line in the given graph. After the activity, answer one...
Interactive
CK-12 Foundation

Ck 12: Plix Series: Electrolytes and Nonelectrolytes

For Students 9th - 10th
[Free Registration/Login Required] In this interactive activity, change the amount of electrolytes and observe the effect it has on the electrical current to simulate the body's similar function. After the activity, answer one...
Interactive
CK-12 Foundation

Ck 12: Plix Series: Potential Energy Diagrams

For Students 9th - 10th
[Free Registration/Login Required] Observe what happens in the change in the type of energy during a reaction in this simulation. After the activity, answer a self-correcting challenge question.
Interactive
CK-12 Foundation

Ck 12: Plix Series: Area of Composite Shapes: Electric Field

For Students 9th - 10th
[Free Registration/Login Required] Understand the relationship between field strength, charge, and force by determining what charge is required for a particle to levitate. After the activity, answer a challenge question to check for...
Interactive
CK-12 Foundation

Ck 12: Plix Series: Transformations: Compressibility

For Students 9th - 10th
[Free Registration/Login Required] Observe what happens to volume as pressure is changed, and then answer a challenge question after the activity.
Interactive
CK-12 Foundation

Ck 12: Plix Series: Heating and Cooling Curves

For Students 10th - 12th
[Free Registration/Login Required] Use the interactive cooling curve graph as a tool to answer two challenge questions about temperature change in the fossil fuel, Naphthalene.
Interactive
CK-12 Foundation

Ck 12: Plix Series: Pi: Molecular Geometry

For Students 9th - 10th
[Free Registration/Login Required] Use your knowledge of molecular geometry to analyze the structures, and determine which of them accurately illustrates the trigonal planar molecule Boron Trifluoride. Then answer two challenge questions...
Interactive
CK-12 Foundation

Ck 12: Plix Series: Properties of Acids and Bases

For Students 9th - 10th
[Free Registration/Login Required] Drag different characteristics of acids and bases to the correct location on the interactive table. After the activity, answer one challenge question to check for understanding.
Interactive
CK-12 Foundation

Ck 12: Plix Series: Resonance: Metallic Bonding

For Students 9th - 10th
[Free Registration/Login Required] Manipulate the electrons and protons to explore metallic bonding. Then answer a self-correcting concept question.
Interactive
CK-12 Foundation

Ck 12: Plix Series: Resonance: Ozone Resonance

For Students 9th - 10th
[Free Registration/Login Required] Explore resonance by manipulating the electrons and bonds, and then answer a challenge question about the concept.
Interactive
CK-12 Foundation

Ck 12: Plix Series: Gas Density: Mass, Volume and the Mole

For Students 9th - 10th
[Free Registration/Login Required] Find out what mathematical function to perform when converting between particles and moles. Then answer one challenge question about the topic.
Interactive
CK-12 Foundation

Ck 12: Plix Series: Gas Density: Mass, Volume and the Mole

For Students 9th - 10th
[Free Registration/Login Required] Find out what mathematical function should be performed in order to move from mass to moles and back again. After the activity, answer one multiple choice, challenge question about the topic.
Interactive
CK-12 Foundation

Ck 12: Plix Series: Percent Composition

For Students 9th - 10th
[Free Registration/Login Required] Manipulate graph data to see a representation of the percent composition of different compounds. Then answer a challenge question about the activity.