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CK-12 Foundation
Continuity of a Function: Continuity
Does the point continually move along the graph? Pupils drag a line across two functions to determine whether they are continuous or not. They answer questions about the properties of continuous and discontinuous functions. Using their...
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
Arithmetic Sequences: Paying of a Loan
How long does it take to pay off a loan? Pupils use a graph to model the sequence associated with paying off a loan. Using the graph, learners determine the initial value and the common difference of the arithmetic sequence. The learners...
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 4)
Take a look at another alternating sequence. The resource provides a graphical display of a sequence that alternates between two values. Pupils use the display to determine whether the sequence has a limit. Given a theory of limit,...
CK-12 Foundation
Sums of Integers with Different Signs: Adding Between 10 and -10
Six questions make up an interactive designed to boost scholars' knowledge of integers. Mathematicians move symbols over a horizontal number line to aid in findings answers between 10 and negative 10. Question types include...
CK-12 Foundation
Quotients of Fractions: Flipping the Fractions!
Five questions make up an interactive designed to promote math skills involving the division of fractions. To assist in the process, a tool with moveable parts showcases how fractions are flipped. Question types include multiple-choice,...
CK-12 Foundation
Comparison of Fractions, Decimals, and Percents: Filling in the Squares
An interactive equipped with five questions challenges mathematicians to convert between fractions, decimals, and percents. A diagram changes its size to visually depict conversions alongside symbols to compare them. Question types...
CK-12 Foundation
Lengths of Triangle Sides Using the Pythagorean Theorem: Find the Missing Side
What is the relationship between the sides of a right triangle? Learners use an interactive to create models of right triangles and view the relationship between the lengths of the sides. They finish by using the Pythagorean Theorem to...
CK-12 Foundation
Changes in Period and Amplitude of the Sine Function
How does a change in amplitude or period affect the equation of a sine function? Scholars move sliders to change the frequency and period of the sine function. The interactive displays the resulting equation, and pupils determine the...
Illustrative Mathematics
Slopes and Circles
An upper-level treatment of what is often presented as a basic concept (the right angle of an inscribed circle on the diameter), this activity really elevates the mathematical thought of the learner! Expected to develop formulas...
CK-12 Foundation
Repeating Decimals: Does 1 equal 0.999... ?
Six questions make up a challenging interactive that tests scholars' knowledge of repeating decimals. Mathematicians answer true or false and multiple-choice questions with help from a tool that highlights decimal movement in an...
CK-12 Foundation
Quadratic Functions and Equations
The form of a quadratic function paints a picture of its graph. Young mathematicians explore this connection by locating key features on a graph and then writing the corresponding equations. The interactive tutorial highlights key...
CK-12 Foundation
Zero, Negative, and Fractional Exponents: Patterns with Powers
Build a foundational understanding of exponent patterns. Young scholars manipulate the bases of exponent expressions. They discover the meaning of negative exponents through their exploration.
CK-12 Foundation
Fitting Lines to Data
Scatter the TV sales over weeks. Pupils create a scatter plot to display the number of TV sales over a period of several weeks. The interactive allows class members to create two lines of best fit. Then they determine which line fits...
CK-12 Foundation
Distance Between Two Polar Coordinates: Exploring Changes in Angle and Radius
Get straight answers on a curved grid. An interactive has learners apply the Law of Cosines to find the distance between two points on the polar coordinate plane. The pupils use the radii lengths and the angle between the two radii...
CK-12 Foundation
Cramer's Rule
Use matrices to solve systems of equations. The interactive introduces Cramer's Rule, using determinants of matrices to solve systems of equations. Color coding helps pupils place entries correctly from the system.
CK-12 Foundation
Greatest Common Factor Using Lists: Tiling the Kitchen Floor
Use a combination of tiling a rectangle to find area and find the greatest common factor of the lengths of two sides and the area they create. Pupils increase and decrease the sides of the rectangle before answer five questions...
CK-12 Foundation
Polynomials and Factoring: Classification Table
It all depends upon the terms. Pupils use the interactive table to sort polynomials. The scholars determine the names for the types of polynomials based on the number of terms.
CK-12 Foundation
Linear Equations: Deep Dish Pizza
Explore the volume of solids with a real-life connection. Learners calculate the volume of a deep-dish slice of pizza to determine its price. They model the slice as a part of a cylinder and create a formula for calculating the cost.
Curated OER
Geometry Fun
Students learn the basic definitions of a quadrilateral, parallelogram, rectangle and square and explain the relationship/classification process between them.
Curated OER
Introduction to Parallel Lines in Euclidean Space and in Spherical Space
Eighth graders are introduced to the basic concepts of Geometry and their definitions in Euclidean space. They draw and define the following terms: point, line, and line segment. Students also define the terms colliner and...
Curated OER
Spherical Geometry: A Global Perspective
Students investigate spherical geometry using a globe and an apple. In this spherical geometry lesson plan, students translate Euclidean geometry terms to spherical geometry terms using a globe. They answer 3 questions about spherical...