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
Percent of a Number: Acid Solution
Mathematicians answer five questions about percents, ratios, and proportions with help from an interactive graduated cylinder. Question types include multiple-choice, fill-in-the-blank, and discussion.
CK-12 Foundation
Average and Instantaneous Rates of Change
How can you determine the rate of change on a curve? Pupils use the interactive to discover what happens with the average rate of change as the point move closer to the other. Using the definition of the derivative, learners find that it...
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
Relationships of Sides in 30-60-90 Right Triangles: Truck on a Mountain Road
Determine the change in elevation on a mountain road. Individuals use the interactive to simulate a truck driving up a mountain road with a 30-degree incline. They determine missing sides of a 30-60 right triangle to find horizontal and...
CK-12 Foundation
Pythagorean Theorem for Solving Right Triangles: Solving the Triangle
Observe the change in the trigonometric ratios as angles vary. An interactive provides the values of trigonometric ratios for both acute angles in a right triangle. Pupils create a right triangle to match given criteria and find the...
CK-12 Foundation
Method of Cylindrical Shells
Approximate the volume of a solid of revolution. Using a method similar to approximating the area under a curve, pupils investigate the volume of a solid of revolution. The learners use a given definite integral to find the volume of...
Curated OER
Finding the Area of Shapes
In this area of shapes unit, upper graders participate in hands-on problem solving activities to find the formulas for the area of a parallelogram, a triangle, and a trapezoid. They manipulate the geoboard to explore relationships among...
CK-12 Foundation
Radical Equations: Geometric Visual of a Square Root
How can you draw a number? A set of questions takes learners through the reasoning for why a geometric construction can be drawn to represent the square root of a number. An interactive helps visualize the construction.
CK-12 Foundation
Angle-Angle-Side Triangles: Garden Gate
Good fences make good gardens. Individuals use an interactive to see how angles and sides relate in a triangular-shaped garden fence. They apply the Law of Sines to find the length of the garden gate (third side of triangle) given two...
CK-12 Foundation
Definition of Probability: It's in the Bag!
It's not in the bag. An interactive provides the probability of picking a certain color marble from a bag after several marbles have been removed. Young mathematicians learn about dependent events from this resource.
CK-12 Foundation
Basic Geometric Definitions: Collinear Constellations
The stars are aligned for a great interactive resource. The interactive contains a graphic of Ursa Major. Given a movable ray, pupils check to see if the three stars that make the handle are collinear. They investigate the...
CK-12 Foundation
Absolute Value: Picket Fence Painting
Painting a fence can be useful for more than just making your yard look good. A slider interactive has young mathematicians adjust the number of white fence panels. This activity helps in understanding how absolute value equations...
CK-12 Foundation
Limits of Polynomial and Rational Functions: Evaluating the Limits of the Quadratic Function
Push an engaging resource to the limit. The interactive allows learners to find a limit on quadratic functions graphically. Using sliders, pupils set the x-value for the limit and to move values from the left and right toward the limit.
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
Equations of Circles: The Sea of Happiness
Map this! Help your young mathematicians draw a circular island on a map. Given specifics of the location and size of an island on a map, pupils transform a circle to meet the given requirements. They then determine the location of the...
EngageNY
The Scaling Principle for Area
As they investigate scaling figures and calculate the resulting areas, groups determine the area of similar figures. They continue to investigate the results when the vertical and horizontal scales are not equal.
Teach Engineering
Bone Density Math and Logarithm Introduction
What do logarithms have to do with bone density? Scholars learn that the equation for bone density includes logarithms. The majority of the third lesson of seven is devoted to logarithms and their properties.
Curated OER
Sequences
In these math worksheets, students will complete 3 pages of sequencing work. The first page is Simple Sequences (17 problems). The second page is Harder Sequences (18 problems). The third page is Fibonacci Sequence work (9 problems).
Key Stage Fun
Squeebles Fractions
We are not exactly sure what a Squeeble is, but apparently they love cake and fractions, and your little bakers-turned-mathematicians will also. This app focuses on the basics of fractions including modeling fractions, equivalent...
Education Development Center
Creating a Polynomial Function to Fit a Table
Discover relationships between linear and nonlinear functions. Initially, a set of data seems linear, but upon further exploration, pupils realize the data can model an infinite number of functions. Scholars use multiple representations...
Curated OER
What Am I?: Geometric Shape Riddles
Combine literacy, problem-solving, and geometric shape recognition with this riddle worksheet. Scholars solve 4 riddes, naming the shape described in each. Descriptions are in first person, and include a real-life look-alike. For...
Curated OER
Iditarod
For this Iditarod worksheet, middle schoolers complete word problems about fractions, money, and more, based on the Iditarod race. Students complete 10 problems.
Curated OER
Pencil It In
In this recognizing patterns learning exercise, students identify problems with patterns and draw the number of pencils that most likely come next. Students solve four problems.