CK-12 Foundation
Sums of Geometric Series
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...
CK-12 Foundation
Ellipses Centered at the Origin: Lithotripsy
Investigate ellipses through the lens of medical applications. Pupils use a medical scenario to determine the equation of an ellipse. By using the interactive, learners determine the foci and major and minor axes of the ellipse that...
CK-12 Foundation
Ellipses: The Ellipse
Learners explore ellipses by changing the lengths and orientation of the major and minor axis. Using the interactive, they determine the equation of the ellipse and its eccentricity. Given an equation the scholars identify the center,...
CK-12 Foundation
Definition of Inverse Functions
Investigate the definition of inverse functions graphically. Using the interactive, scholars create a graph of a function and view its resulting inverse. They then determine whether a group of functions have inverses that are also...
CK-12 Foundation
Logarithmic Differentiation: Graphing the Derivative of a Logarithm
Log the values of the derivative of a logarithm. The interactive plots the derivative of the natural logarithm. Learners first determine the derivative of natural logarithm and the general logarithm. Using the formulas for the...
CK-12 Foundation
Limit of a Sequence: Finding the Limit of a Sequence (Part 1)
Put a squeeze on a sequence. An interactive provides a graphical display of a sequence. Using the graph, learners determine the algebraic expression for the sequence. Pupils use the general definition of a limit of a sequence to find the...
CK-12 Foundation
Equations of Circles: Finding the Equation of a Circle
It's all about location and size. With the aid of the interactive, pupils explore the relationship between the location and size of a circle and its equation. The learners use that relationship to determine the equation of a circle given...
CK-12 Foundation
Integers that Represent Different Situations: Football Field
A football-themed interactive focuses on integers. Seven questions challenge scholars to show what they know by way of short answers, multiple-choice, and true or false. An open-ended question followed by a discussion concludes the...
CK-12 Foundation
Integers: Tiling a Chessboard with Dominoes
Ten questions make up an interactive all about integers. Scholars answer multiple choice, short answer, and discussion questions using a 4x4 chessboard and dominoes.
CK-12 Foundation
Prime and Composite Numbers
Nine true or false, multiple-choice, and discussion questions make up an interactive designed to reinforce scholars' knowledge of prime and composite numbers. A number chart reveals every prime number through 100.
CK-12 Foundation
Fraction Comparison with Lowest Common Denominators: Oranges and Blood Oranges
Comparing fractions is the focus of a five-question interactive in which mathematicians use oranges to answer real-world multiple-choice, true or false, and discussion questions.
CK-12 Foundation
Integer Division: Dropping Anchor
An interactive made up of five questions challenges mathematicians to divide integers and reflect on division properties. A moveable anchor aids in problem-solving. Question types include multiple-choice, true or false, and...
CK-12 Foundation
Percents as Decimals
In some cases, decimals are just easier to work with. An easy-to-use interactive shows how to convert percents to decimals. It then challenges learners to answer a set of questions, some of which include percents that are greater than...
CK-12 Foundation
Add and Subtract Decimal Numbers: Losing Little Bits
An interactive offers five questions that challenge scholars to subtract decimals. A diagram featuring a tree and birdhouse with moveable parts is designed to assist mathematicians in finding solutions. Types of questions include...
CK-12 Foundation
Absolute Values of Integers
A five-question interactive focuses on integers and absolute value. A number line shows the distance to aide mathematicians in answering multiple-choice, true or false, and discussion questions.
CK-12 Foundation
Equivalent Fractions
An interactive made up of five questions tests scholars' knowledge of equivalent fractions. Two fraction circles with moveable parts assist mathematicians in finding solutions. Questions are multiple-choice with one discussion.
CK-12 Foundation
Decimals as Mixed Numbers
Five questions—multiple-choice, true or false, and a discussion—make up an interactive that focuses on decimals as mixed numbers. Moveable blocks assist scholars in finding solutions.
CK-12 Foundation
Decimals as Mixed Numbers
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...
CK-12 Foundation
Fraction Rounding to the Nearest Half: Beaker Math
Rounding fractions is the focus of a six-question interactive designed to boost concept proficiency. A measured beaker's water level increases and decreases as mathematicians move the tool to represent specific fractions. Questions...
CK-12 Foundation
Differences of Fractions with Different Denominators
Subtracting fractions with unlike denominators is the focus of an interactive designed to boost mathematicians' problem-solving skills. Five questions challenge participants to answer multiple-choice and true or false questions with help...
CK-12 Foundation
Multiplication of Whole Numbers by Fractions: Multiplication of Fractions by Whole Numbers
An interactive challenges mathematicians to multiply fractions by whole numbers. A model provides a clear visual aid in preparing whole numbers to be multiplied. Six questions include multiple-choice, fill in the blank, short answer, and...
CK-12 Foundation
Sums of Fractions with Like Denominators: Cheesy Bread
Five questions make up an interactive all about adding fractions with like denominators. Mathematicians answer multiple-choice problems and an open-ended question using a fraction model that resembles sliced bread. The practice ends with...
CK-12 Foundation
Percents as Fractions: A Fraction of a Percent
Five questions make up an interactive all about percents and fractions. Mathematicians answer multiple-choice and fill in the blank problems with help from a tool that converts percents to fractions using a sliding bar. An open...
CK-12 Foundation
Comparison of Unit Rates: Drive Away
Five questions make up an interactive that challenges mathematicians to compare unit rates. Word problems question scholars about two friends going on a road trip. Scholars manipulate two cars on a coordinate plane to help solve word...