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

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

Tangent Line Approximation: Estimating Square Roots

For Students 11th - Higher Ed
Estimating a square root is as easy as evaluating a linear equation. Using the derivative of the square root function, pupils calculate an estimation of square roots. Class members determine the equation of the tangent line at the value...
Interactive
CK-12 Foundation

Vector Projection

For Students 11th - Higher Ed
Two words summarize the interactive: vector projector. An easy-to-use resource lets users investigate vector projections on the coordinate plane. Given the components of two vectors, they determine the projection of one vector onto the...
Interactive
CK-12 Foundation

Ellipses: The Ellipse

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

Parabolas: Invisible Graph

For Students 11th - Higher Ed Standards
Envision the function as the point swings. Given a point connected to another point and a line, pupils trace through an invisible graph. Learners identify the name of the given point and the line and determine the type of conic section...
Interactive
CK-12 Foundation

Hyperbolas

For Students 11th - Higher Ed Standards
Hyperbolas—practice thinking outside of the box. Pupils alter the end behavior box to create various graphs of hyperbolas. They determine formulas to find the distance from the origin to the foci. Using that information, scholars...
Interactive
CK-12 Foundation

Solving Logarithmic Equations

For Students 11th - Higher Ed Standards
Pupils follow a chain of reasoning in deconstructing a logarithmic equation step by step. Using their knowledge of logarithms, learners compare the solutions of logarithmic equations when the bases are changed.
Interactive
CK-12 Foundation

Fraction Comparison with Lowest Common Denominators: Oranges and Blood Oranges

For Students 6th Standards
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. 
Interactive
CK-12 Foundation

Percents as Decimals

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

Add and Subtract Decimals with Front-End Estimation: Wooden Beams

For Students 6th - 8th Standards
A six-question interactive tasks mathematicians to solve addition and subtraction problems using front-end estimation. Question types consist of multiple-choice and true or false. A set of wooden beams that can be measured using moveable...
Interactive
CK-12 Foundation

Finding the nth Term Given the Common Ratio and the First Term: Dominoes

For Students 11th - Higher Ed Standards
Topple misunderstandings of geometric sequences. Using a context of creating ever-increasing sizes of dominoes, pupils develop a geometric sequence. The scenario provides the size of the first domino and the common ratio between...
Lesson Plan
Curated OER

Fun with Shapes

For Teachers K - 1st
Young mathematicians identify shapes and their correct names. They work with partners using various manipulatives and computer software to reinforce the concept. I really like these lesson plans. They are well-designed, the procedures...
Lesson Plan
Curated OER

Measurement

For Teachers 6th - 8th
Middle schoolers create two prisms out of the same paper. They calcuate the number of centimeter cubes needed to fill each prism. They discover the concept of volume.
Lesson Plan
Curated OER

The Fractal Geometry of Nature

For Teachers 8th - 10th
Students identify patterns found in nature. In this algebra lesson, students model situation in nature using fractals. They investigate biological geometric structures and draw conclusion based on geometric concepts.
Lesson Plan
Curated OER

Garden Variety Geometry

For Teachers 9th - 10th
Students prepare to take the GED by reviewing basic math concepts. In this geometry lesson plan, students review vocabularies such as formula, perimeter, circumference and other important geometric terms. They convert between the English...
Lesson Plan
Curated OER

Measuring the Area of Polygons

For Teachers 4th
Fourth graders use pattern blocks to explore areas of polygons. They explain that the answers to the area of the same polygon vary according to the units of measurement used. They visualize how different units of measurement can be used...
Lesson Plan
Curated OER

Concurrent Lines in Triangles

For Teachers 9th - 12th
Students explore the concept of concurrent lines in triangles. In this concurrent lines in triangles lesson, students work in groups to investigate properties of concurrent lines in acute, right, and obtuse triangles. Students use a...
Lesson Plan
Curated OER

Similar Triangles - Geometry Exploration

For Teachers 8th
Eighth graders become engaged in a lesson plan in geometry to improve mathematical skills. They construct triangles, segments, and points using Geometer's Sketchpad to demonstrate how dilations of triangles and rectangles change...
Lesson Plan
Curated OER

Geometry and Shapes

For Teachers 4th
Fourth graders are asked to name different shapes.Four to five students to share their answers with the class. The teacher leads the discussion in geometry about the properties associated with shapes.
Interactive
CK-12 Foundation

Basic Inverse Trigonometric Functions: Ladder

For Students 10th - 12th Standards
Lean a ladder against the wall to create an angle. Class members use an interactive application to determine the angle a ladder makes with the ground. Individuals respond to five questions using inverse trigonometric functions.
Interactive
CK-12 Foundation

Writing Basic Equations: Stars and Moons

For Students 6th - 8th
You'll be over the moon about finding a useful resource for describing patterns. Aspiring mathematicians drag moon and star shapes to complete a shape pattern. Additionally, they must write an algebraic equation to describe the pattern.
Lesson Plan
EngageNY

What Lies Behind “Same Shape”?

For Teachers 8th Standards
Develop a more precise definition of similar. The lesson begins with an informal definition of similar figures and develops the need to be more precise. The class learns about dilations and uses that knowledge to arrive at a...
Interactive
CK-12 Foundation

Addition and Subtraction of Rational Expressions: Strawberry Sherbet Punch

For Students 9th - 12th Standards
Explore the connection between fractions and rational expressions. Young scholars manipulate fractions with unlike denominators to find a total. Challenge questions allow them to check their work to ensure they are correct.