Interactive
CK-12 Foundation

Reference Angles and Angles in the Unit Circle: Exploring Reference Angles

For Students 10th - 12th Standards
A steal of a deal — get four angles for the value of one. An interactive resource allows individuals to visualize all four angles that have the same reference angle. Pupils answer questions by using the interactive to create the...
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

Whole Number Subtraction: Penguins Go for a Swim

For Students 6th
As penguins jump off of an iceberg, young mathematicians count the remaining penguins in order to discover the whole number subtraction answer. As they work through the questions, they can manipulate the red dot to add and subtract more...
Interactive
CK-12 Foundation

Rotations in Radians: Clock Conundrum

For Students 10th - 12th Standards
Pupils use an interactive clock to set specific times. They apply math to an everyday task as they determine the measure of the angle formed by the hands in degrees and in radians. 
Interactive
CK-12 Foundation

Radical Equations: Geometric Visual of a Square Root

For Students 8th - 11th Standards
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.
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

Evaluation of Perfect Square Roots: Neighborhood Park

For Students 7th - 9th Standards
Walking in the park can be good for the body and for mathematics skills. Young scholars use an interactive app to investigate the relationship between squares and square roots using a square with adjustable length. The program also...
Interactive
CK-12 Foundation

Joint and Combined Variation: Variable Sliders

For Students 8th - 10th
Learners use a pair of sliders to investigate how changes in a variable affects other variables in joint variation. A set of five challenge questions tests understanding.
Interactive
CK-12 Foundation

Simplification of Radical Expressions: Irrational Garden Plot

For Students 8th - 10th
All is not simple in the garden of rationals and irrationals. Learners use a context of a garden to practice simplifying irrational numbers involving radicals. They also find areas of garden with irrational side lengths.
Interactive
CK-12 Foundation

Unit Circle: Medieval Castle Defense

For Students 10th - 12th Standards
Who needs a plan — let trigonometry protect you! Pupils determine the angle of an approaching enemy to a village wall. The scholars determine the exact value of trigonometric functions for the angle. Class members use trigonometry to...
Interactive
CK-12 Foundation

Law of Cosines: Baseball Diamond

For Students 10th - 12th
Catch a great resource! Individuals use an interactive that allows them to move players on a baseball field. They calculate distances between players using the Law of Cosines.
Interactive
CK-12 Foundation

Monomial Factors of Polynomials: Mystery Boxes

For Students 8th - 10th Standards
Shortcut the work in finding total volumes. Pupils determine a polynomial expression that would represent the combined volume of three boxes. Each box has the same height, and the scholars rewrite the expression by factoring out the...
Interactive
CK-12 Foundation

Addition and Subtraction of Polynomials: Sliders

For Students 8th - 10th Standards
Slide the coefficients to determine sums of polynomials. The interactive contains sliders to change the coefficients of an addend in a polynomial addition problem. Pupils determine the coefficients of the addend to arrive at particular...
Interactive
CK-12 Foundation

Multiplication of Polynomials by Binomials: Rainbows

For Students 8th - 10th Standards
Is it possible to use the distributive property with several terms? Learners multiply a polynomial by a binomial using the same method as with a monomial. The scholars distribute each term of the binomial to each term in the polynomial...
Interactive
CK-12 Foundation

Addition of Polynomials: Splitting into Tiles

For Students 8th - 10th Standards
Count on tiles to add polynomials. Pupils drag virtual algebra tiles onto colored mats to represent the sum of two polynomials. The learners count the number of like tiles to find the coefficient of each term. They finish...
Interactive
CK-12 Foundation

Law of Cosines: Angles in the Outfield

For Students 10th - 12th
Take me out to the trig class. Individuals use an interactive to see how angles on a baseball field change as the position of two runners change. A set of challenge questions has them apply the Law of Cosines to solve problems.
Interactive
CK-12 Foundation

Angle-Angle-Side Triangles: Garden Gate

For Students 10th - 12th Standards
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...
Interactive
CK-12 Foundation

Polynomials and Factoring: Classification Table

For Students 9th - 12th
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.
Interactive
CK-12 Foundation

Slope-Intercept Form of Linear Equations: Cable Car Tracks

For Students 7th - 10th Standards
Get on track to learn about slope-intercept form. Scholars use an interactive to position a line along the tracks of cable car. Applying knowledge of slope and intercepts, they write the slope-intercept form of the equation for the line.
Interactive
CK-12 Foundation

Intercepts and the Cover-Up Method: The Hidden Zeros

For Students 7th - 10th Standards
There's no need to cover up this resource — it's good one! Pupils use a slider interactive that covers up parts of the standard form of a linear equation and simultaneously reveals one of the intercepts of the graph. This lets them see...
Interactive
CK-12 Foundation

Graphs Using Slope-Intercept Form: Mountain

For Students 7th - 9th Standards
Climb every mountain, even one you create in an interactive. Individuals solve a problem involving slopes and distances of campsites on a mountain. Answering a set of challenge questions aids in the process.
Interactive
CK-12 Foundation

Graphs of Linear Model of Direct Variation: On the Moon

For Students 8th - 12th Standards
You'll be over the moon about this resource. Scholars draw a line representing the weight of an object on the moon based on its mass. Consideration of the constant of proportionality allows them to see relationships between weight of an...
Interactive
CK-12 Foundation

Intercepts by Substitution: Finding a Linear Product Using a Quadratic

For Students 9th - 12th Standards
Discover another way to interpret multiplication. Using an interactive, learners slide points (representing the factors of multiplication) along the x-axis of the graph of y = x^2 and observe changes in the line segment connecting the...
Interactive
CK-12 Foundation

Empirical Probability: Scoring

For Students 6th - 8th
Learners use an interactive to determine the probability that a soccer player will score a goal. Given data over the course of several days, they determine probabilities for several different situations.