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CK-12 Foundation
Antiderivative: Piecing it Together
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...
CK-12 Foundation
Higher Order Derivatives—Acceleration and Jerk
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...
CK-12 Foundation
Derivatives with Mean Value Theorem and Rolle's Theorem: Maxima and Minima
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...
CK-12 Foundation
Newton's Method
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...
CK-12 Foundation
Area Sums: Estimation with Rectangles
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.
CK-12 Foundation
Properties of Definite Integrals
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....
CK-12 Foundation
Inverse Functions: Definition of Inverse Functions
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...
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
Change of Base: River Logs
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.
CK-12 Foundation
Circles Not Centered at the Origin: Room Rearranging
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...
CK-12 Foundation
Estimation of Whole Number Multiplication and Division: Lettuce Garden
Estimating whole number multiplication and division is the focus of an interactive that uses a garden plot with moveable points to answer six questions.
CK-12 Foundation
Whole Number Division: Repaying Money
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...
CK-12 Foundation
Prime Factorization: Chocolate Chip Factoring
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...
CK-12 Foundation
Whole Number Exponents: Teddy Bear Box
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...
CK-12 Foundation
Proportions Using Cross-Multiplication: Proportions Using Cross Product
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...
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
Decimal Multiplication: Reducing the Weight
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. ...
CK-12 Foundation
Large Decimal Rounding to Decimal Representations: Weighing a Whale
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...
Curated OER
Add or Subtract Whole Numbers Up to 1000
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.
San Francisco Public Utilities Commission
Our Water: Many Users - Many Uses
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...
CK-12 Foundation
Identify Accurate Drawings of Triangles: Law of Cosines
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.
CK-12 Foundation
Finding Exact Trigonometric Values Using Double Angle Identities: Trig Values Using Double and Half Angle Formulas
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.
Curated OER
Using the Carbon Cycle Interactive Game in the Classroom
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...
Mathematics Assessment Project
Solving Linear Equations in One Variable
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...