Interactive
CK-12 Foundation

Pythagorean Theorem to Classify Triangles: Missing Angles

For Students 8th - 12th Standards
Learn to use the Pythagorean Theorem with non-right triangles. Pupils use the interactive to discover the relationship between the lengths of sides for acute and obtuse triangles. They compare the squares of the sides of the triangles to...
Interactive
CK-12 Foundation

Conversions between Degrees and Radians: Charting Hours in the Day

For Students 10th - 12th Standards
Forget hours, divide the day into radians instead. Class members convert the angles in a pie chart of daily activities into radian measures. They add angle measures for multiple activities then determine a relationship between the radian...
Interactive
CK-12 Foundation

Factor Pairs: Flower Garden

For Students 6th Standards
Arrange the dimensions of Marissa's rectangular flower garden so that 12 flowers can be grown. How many factor pairs does the number 12 have? What dimensions are necessary for a square shaped planter?
Interactive
CK-12 Foundation

Pythagorean Theorem to Determine Distance: Neighborhood Map

For Students 8th - 12th Standards
Find the distance between various locations in a neighborhood. Scholars use the interactive to find distances between locations on a map. The map is overlaid onto a grid to provide coordinates for each location, and pupils apply...
Interactive
CK-12 Foundation

Six Trigonometric Functions and Radians: Degrees to Radians and Back Again!

For Students 10th - 12th Standards
How do degrees relate to radians? The interactive allows pupils to manipulate the size of an angle in a unit circle to help see that relationship. Users determine the radian measure for given degree measures of angles, realizing the...
Interactive
CK-12 Foundation

Midpoint Formula

For Students 8th - 10th
By selecting the resource, you're already halfway to understanding midpoints. Pupils use a slider to locate midpoints on the coordinate plane. They connect this conceptual understanding to the formula for the midpoint of a line segment.
Interactive
CK-12 Foundation

Multiplication of Monomials by Polynomials: Distributing the Monomial

For Students 8th - 10th Standards
An interactive shows graphically the distribution of a monomial across all the terms in a polynomial multiplication problem. Pupils relate the specific example to a more general problem then make conclusions to develop a pattern for...
Interactive
CK-12 Foundation

Law of Cosines: Building a Zip Line

For Students 10th - 12th
Zip this resource into your lesson plans. Here is an interactive that shows how angles and lengths change based on conditions for a zip line. Scholars use the Law of Cosines to solve problems in this context.
Interactive
CK-12 Foundation

Graphs of Linear Systems: Heart Rate Tracker

For Students 8th - 10th Standards
Max out heart rates for males and females. Formulas of maximum heart rates provide the equations for a linear system. Pupils use the interactive to graph the equations for males and females and determine their points of intersection. The...
Interactive
CK-12 Foundation

Unit Vectors and Components: Bow and Arrow

For Students 9th - Higher Ed Standards
Aim for a better understanding of vector components. Scholars adjust the angle of release on a bow and determine the horizontal and vertical components of the velocity vector. The pupils finish by determining how the angle affects...
Interactive
CK-12 Foundation

Permutations with Repetition: Permutations and Repetition

For Students 9th - 12th Standards
What's in a name? An interactive asks users to find the number of ways to arrange the letters in the word DAD and MOM. Pupils use the interactive to arrange the letters but restrict the permutations to be unique for MOM and answer...
Interactive
CK-12 Foundation

Sums and Differences of Independent Random Variables: Traveling Seasickness

For Students 9th - 12th Standards
Use a Punnett square to calculate probabilities. The resource presents a situation in which two patients are randomly selected from a group of patients with a particular illness. Pupils use the interactive to determine the likelihood...
Interactive
CK-12 Foundation

Conditional Probability: Colorful Cubes

For Students 9th - 12th Standards
An interactive provides a model to visually represent the formula for the probability of an outcome. Given 10 numbered color cubes, pupils arrange them on the top and bottom shelf to represent the probability fraction. The learners...
Interactive
CK-12 Foundation

Counting Techniques: Permutations and Combinations

For Students 11th - 12th
Comparing and contrasting is an important skill, even in mathematics. A drag-and-drop interactive has users classify situations as suitable for permutations or combinations. A set of challenge questions tests whether they know the...
Interactive
CK-12 Foundation

Slope: A-Frame House

For Students 8th - 10th Standards
This resource on learning about slopes from A-frames is A-okay. A simple interactive has learners adjust the height and width of an A-frame house, and then calculate the slope of the roof for each situation.
Interactive
CK-12 Foundation

Function Rules based on Graphs: Making Money in the Hat Business

For Students 8th - 9th Standards
Hats off to those learning about the graphs of functions. Individuals use an interactive to plot points representing profits for a hat business. They identify a quadratic equation to represent this function and answer challenge questions...
Interactive
CK-12 Foundation

Absolute Value Inequalities: The Nuts and Bolts of Allowable Error

For Students 8th
Explore the nuts and bolts of absolute value inequalities using nuts and bolts. Pupils use an interactive to see how the minimum and maximum radii of a nut-and-bolt combination change based on the target radius and the allowable error....
Interactive
CK-12 Foundation

Linear Inequalities: Concert Tickets

For Students 7th - 10th
Profit from this resource on linear inequalities. A slider interactive lets users see how the profit on band ticket sales changes with the number of tickets. A set of challenge questions provides some situations for learners to consider.
Interactive
CK-12 Foundation

Inductive Reasoning from Patterns: Greeting with Handshakes

For Students 6th - 9th
Greet this resource like an old friend. An interactive has users investigate the number of handshakes required for a group to greet each member. A set of challenge questions ensures that learners have a solid understanding of the...
Interactive
CK-12 Foundation

Properties of Real Number Addition: The Secret of Subtraction

For Students 6th - 8th Standards
Learners sometimes struggle to understand the concept of adding and subtracting integers. Help them see the why behind their answers using the interactive number line. The values change as individuals adjust the number line for each new...
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.
Interactive
CK-12 Foundation

Algebra Expressions with Fraction Bars: Temperature Conversion

For Students 8th - 10th Standards
Use a cool resource for a hot topic. Pupils learn how to convert Fahrenheit to Celsius, and vice versa. An interactive helps show how to perform the conversions.
Interactive
CK-12 Foundation

Broken-Line Graphs: Heating Curve of Water

For Students 7th - 10th Standards
Examine the unique graphs coined broken-line graphs. Using the phase change of water for data, learners answer questions related to the temperature and energy at different times in the cycle of the phase change. Questions focus on the...
Interactive
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CK-12 Foundation

Introduction to Mean, Median, and Mode: The Tree Conundrum

For Students 6th - 8th Standards
How many trees should we plant? Using an interactive as a manipulative, individuals find the mean, median, and mode for sets of data. They determine the number of trees to plant in each plot of land to reach a statistical goal.