Interactive
CK-12 Foundation

Exponent Properties with Variable Expressions: Integer Powers

For Students 8th - 12th Standards
Exponent properties can be complicated for learners. A creative lesson seeks to simplify the concept and build a solid understanding. Young mathematicians have the opportunity to create numerous expressions and analyze the simplified...
Interactive
CK-12 Foundation

Exponent Properties with Variable Expressions: Size of Solar Tornadoes

For Students 8th - 12th Standards
Exponents may have your pupils' heads spinning after an engaging lesson as they connect properties to tornadoes! Learners compare a distance between cities to the distance across a solar tornado. They use exponent properties to find the...
Interactive
CK-12 Foundation

Matrices to Represent Data: Houndstooth

For Students 10th - 12th Standards
Apply matrices to fashion. Here your classes use a matrix to create a popular clothing design. As they construct the pattern, they review the dimensions of a matrix by considering the rows and columns. 
Interactive
CK-12 Foundation

Identification of Quadratic Models: UFO Launch

For Students 10th - 12th Standards
Build conceptual understanding of graphs of quadratic functions with an out-of-this-world resource. An interactive lesson allows learners to manipulate a graph that models the launch of a UFO. The lesson focuses on the key features of...
Interactive
CK-12 Foundation

Scientific Notation: Matching Numbers to Notation

For Students 8th - 12th Standards
Explore the conversion of numbers to scientific notation and back again. Learners begin with a matching activity to identify equivalent expressions. Then guiding questions test and extend their understanding.
Interactive
CK-12 Foundation

Cramer's Rule

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

Multiplying Matrices by a Scalar: Column Vectors

For Students 10th - 12th Standards
Make connections between vectors and matrices through multiplication. Scholars use the interactive to view the effect of multiplying a matrix by a scalar. The interactive displays the resulting matrix and its corresponding column vectors...
Interactive
CK-12 Foundation

Multiplying Matrices by a Scalar

For Students 10th - 12th Standards
The rule is add before multiplying, even with matrices. Pupils use a slider to change the scalar multiplying the sum of two matrices. The interactive displays the resulting solution matrix, and requires scholars answer five questions...
Interactive
CK-12 Foundation

Multiplying Matrices by a Scalar: Making Matrix Patterns

For Students 10th - 12th Standards
Scalar multiplication equations can be a drag. Scholars determine missing matrices to make correct scalar matrix multiplication equations. They place the correct matrix into the equations within the interactive resource and analyze the...
Interactive
CK-12 Foundation

Operations with Vectors: GPS Device

For Students 10th - 12th Standards
Determine the distance between two hikers using vectors. Pupils use an interactive to develop the formula to find the distance between two points knowing their relationship to a third point. Learners use the formula to calculate the...
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

Lengths of Triangle Sides Using the Pythagorean Theorem: Find the Missing Side

For Students 8th - 12th Standards
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...
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

Using Quadratic Equations to Solve Problems: Construct a Soccer Field

For Students 9th - 12th Standards
Determine whether the soccer field has the right area. Pupils create a virtual soccer field based upon constraints. They determine the equation that models the area and continue to investigate other potential areas.
Interactive
CK-12 Foundation

Discriminant

For Students 9th - 12th Standards
Discriminate between the types of roots. The interactive root introduces the discriminant and its connection to the types and number of roots. Pupils use a slider to view graphically the effect of the sign of the discriminant on a...
Interactive
CK-12 Foundation

Radian Measure: Unit Circle Conversions

For Students 10th - 12th
Individuals investigate the relationship between radian and angle measurements by using an interactive to find the angle measurement for given radian measures. Users answer questions to convert between the two measurements.
Interactive
CK-12 Foundation

Length of an Arc: Pi Hour

For Students 9th - 12th Standards
What time is it when the arc length is pi? An interactive displays the measure of the angle created between the hour and minute hand of a clock. Pupils can set the clock to different hours and calculate the arc length based upon the radius.
Interactive
CK-12 Foundation

Right Triangles, Bearings, and Other Applications: Sailing Race

For Students 9th - 12th Standards
Help your class get their bearings when it comes to right triangles. Pupils determine distances traveled or components given the bearing of a sailboat using an interactive. The scholars develop a sense of finding the bearings of a given...
Interactive
CK-12 Foundation

Using Quadratic Equations to Solve Problems: Pizza Slice!

For Students 9th - 12th Standards
Get the most out of a pizza. Class members use an interactive to simulate cutting a pizza to determine the maximum number of slices possible. The pupils create a set of data points and determine the equation that models the relationship.
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

Addition of Integers: Polka Dots

For Students 7th Standards
What happens when you add negative and positive integers to one another? Do you add or subtract, and will the answer be positive or negative? Young mathematicians use blue and red polka dots to determine the value of an expression that...
Interactive
CK-12 Foundation

Fraction Ordering with Lowest Common Denominators: Test Your Strength

For Students 6th Standards
Young mathematicians use a bell and hammer to see how high or low the puck goes. Then, they order the fractional values to demonstrate the greatest to lowest hit. Students then respond to several questions that require them to use...
Interactive
CK-12 Foundation

Greatest Common Factor Using Factor Trees

For Students 6th Standards
Beginning with a description that sets the stage, learners are asked to break down the numbers 42 and 63 to find the greatest common denominator using factor trees. As they work through the factoring process, young mathematicians are...
Interactive
CK-12 Foundation

Oblique Asymptotes: Rational Functions and Asymptotes

For Students 9th - 12th Standards
Examine the connection between rational functions and their graphs. Individuals use an online manipulative to sort equations with horizontal and oblique asymptotes. They focus on the degree of the numerator and denominator.