Interactive
CK-12 Foundation

Antiderivative: Piecing it Together

For Students 11th - Higher Ed
Build a function backwards. Given a graph of the derivative of a function, pupils piece together a graph of the original function, the antiderivative. Learners use their graphs and the graphs of the derivatives to answer questions about...
Interactive
CK-12 Foundation

Higher Order Derivatives—Acceleration and Jerk

For Students 11th - Higher Ed
Accelerate your class through finding the second derivative. Using a bank of equations, pupils determine the equations for distance, velocity, and acceleration and their associated function notations. With the equations, learners answer...
Interactive
CK-12 Foundation

Derivatives with Mean Value Theorem and Rolle's Theorem: Maxima and Minima

For Students 11th - Higher Ed
Rolle with the mean values and derivatives. Scholars complete the statements of Rolle's Theorem and the Mean Value Theorem. Using the interactive to illustrate scenarios, pupils respond to questions concerning the theorems in terms of...
Interactive
CK-12 Foundation

Newton's Method

For Students 11th - Higher Ed
Does the accuracy of the first guess make a difference down the line? Learners investigate the effects of the iterative process of finding roots, using Newton's Method. By moving the initial guess of a root on a graph, pupils observe the...
Interactive
CK-12 Foundation

Area Sums: Estimation with Rectangles

For Students 11th - Higher Ed
The more rectangles, the better the estimate. Using the interactive, pupils explore estimating the area under a curve using left-hand sums. Learners respond to challenge questions on how to get better estimates using the same technique.
Interactive
CK-12 Foundation

Properties of Definite Integrals

For Students 11th - Higher Ed
Close your eyes and visualize a definite integral. An interactive provides a visualization of a function and definite integral on a closed interval. Pupils move one point of the interval in either the positive or negative direction....
Interactive
CK-12 Foundation

Inverse Functions: Definition of Inverse Functions

For Students 11th - Higher Ed Standards
Is the inverse of a function also a function? Pupils manipulate the graph of a function to view its inverse to answer this question. Using a horizontal and vertical line, class members determine whether the initial function is...
Interactive
CK-12 Foundation

Ellipses Centered at the Origin: Lithotripsy

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

Change of Base: River Logs

For Students 11th - Higher Ed Standards
Using the answers to the challenge questions, class members work through simplifying a complex logarithmic expression that requires changing bases. Pupils drag values to fill in the steps to arrive at a numerical equivalent expression.
Interactive
CK-12 Foundation

Circles Not Centered at the Origin: Room Rearranging

For Students 11th - Higher Ed Standards
Where does a circular table fit best? Individuals move a circle representing a table into different quadrants of a room. Pupils determine which equation of the circle will place the table in the appropriate quadrant. A discussion...
Interactive
CK-12 Foundation

Estimation of Whole Number Multiplication and Division: Lettuce Garden

For Students 3rd - 8th Standards
Estimating whole number multiplication and division is the focus of an interactive that uses a garden plot with moveable points to answer six questions.
Interactive
CK-12 Foundation

Whole Number Division: Repaying Money

For Students 3rd - 5th Standards
Mathematicians answer five word problems in an interactive practice all about repaying money using division. A calendar and moveable dollar bills aides participants in finding solutions to multiple-choice, fill-in-the-blank, and...
Interactive
CK-12 Foundation

Prime Factorization: Chocolate Chip Factoring

For Students 6th Standards
An interactive resource challenges mathematicians to show what they know about prime factorization. Five multiple-choice, true or false, and discussion questions use chocolate chip cookies to set a real-world application of the...
Interactive
CK-12 Foundation

Whole Number Exponents: Teddy Bear Box

For Students 3rd - 6th Standards
Five questions—multiple-choice, fill in the blank, and discussion—make up an interactive that challenges scholars to mail a teddy bear using the smallest box possible without squishing it. A box with movable sides allows mathematicians...
Interactive
CK-12 Foundation

Proportions Using Cross-Multiplication: Proportions Using Cross Product

For Students 6th - 8th Standards
Don't get it crossed—the resource is a great one. Scholars read and watch a video that explains proportions and cross products. They then use an interactive to determine that cross products are equal and answer a set of challenge...
Interactive
CK-12 Foundation

Decimals as Mixed Numbers

For Students 6th - 8th Standards
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. 
Interactive
CK-12 Foundation

Decimal Multiplication: Reducing the Weight

For Students 5th - 8th Standards
Eight questions challenge mathematicians to multiply decimals. A color-coded tool with movable parts assist participants in answering word problems. Item response types include fill in the blank, multiple-choice, and a discussion. ...
Interactive
CK-12 Foundation

Large Decimal Rounding to Decimal Representations: Weighing a Whale

For Students 4th - 8th Standards
An interactive challenges mathematicians to round large numbers with help from a large scale that measures the weight of a blue whale. The practie's five questions include multiple-choice, fill-in-the-blank, true or false, and an open...
Lesson Plan
Curated OER

Add or Subtract Whole Numbers Up to 1000

For Teachers 3rd - 4th
Elementary schoolers solve practice problems on the board and are shown how to line up the numbers for addition. They solve various addition problems in small groups. Everyone continues the same process for solving subtraction problems.
Worksheet
San Francisco Public Utilities Commission

Our Water: Many Users - Many Uses

For Students 2nd - 4th Standards
California's water supply is not always stable. Learn about the ways that California weathers a drought with a reading activity about water usage and agriculture. Once kids finish the reading passage, they answer a series of...
Interactive
CK-12 Foundation

Identify Accurate Drawings of Triangles: Law of Cosines

For Students 10th - 12th Standards
Drawing triangles is easy, even if you have to calculate the exact length of its sides. Scholars use the Law of Cosines to find missing sides of triangles. An interactive helps them check their answers.
Interactive
CK-12 Foundation

Finding Exact Trigonometric Values Using Double Angle Identities: Trig Values Using Double and Half Angle Formulas

For Students 10th - 12th
The more you know, the more you can learn. Scholars apply the double angle and half angle formulas to determine trig values based on known values. They use an interactive that provides sine and cosine values to aid calculations.
Lesson Plan
Curated OER

Using the Carbon Cycle Interactive Game in the Classroom

For Teachers 4th - 9th
An online reading and interactive game bring the path of a carbon molecule to life for your earth science explorers! As an assessment, learners can map out or write about their experience in the carbon cycle. Thoroughly written...
Lesson Plan
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Mathematics Assessment Project

Solving Linear Equations in One Variable

For Teachers 7th - 9th Standards
A thorough and professional appearance characterizes a lesson on linear equations. Maturing mathematicians are taught to identify and exemplify linear equations with a single variable. They also classify equations according to the number...