CK-12 Foundation
Exponent Properties with Variable Expressions: Integer Powers
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...
CK-12 Foundation
Exponent Properties with Variable Expressions: Size of Solar Tornadoes
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...
CK-12 Foundation
Quadratic Functions and Equations
The form of a quadratic function paints a picture of its graph. Young mathematicians explore this connection by locating key features on a graph and then writing the corresponding equations. The interactive tutorial highlights key...
CK-12 Foundation
Graphs of Quadratic Functions in Intercept Form: Architectural Bridge Challenge
There are architectural parabolas all around us! A creative lesson analyzes the architecture of a parabolic bridge. Learners must manipulate the bridge to satisfy given criteria and then answer questions about the dimensions of the...
CK-12 Foundation
Matrices to Represent Data: Houndstooth
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.
CK-12 Foundation
Identification of Quadratic Models: UFO Launch
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...
CK-12 Foundation
Linear, Exponential, and Quadratic Models: Bernoulli Effect
How can an object as heavy as an airplane fly? Turns out the answer is quadratic! Your classes explore the Bernoulli Effect through an interactive graph representation. As a plane increases in speed, the lift force also increases. Young...
CK-12 Foundation
Logarithms: Logarithm Triangle
Study logarithmic properties using a triangle. A clever manipulative shows how a triangle can represent the three parts of a logarithmic or exponential equation. Pupils review the concept and then answer guiding questions to further...
CK-12 Foundation
Geometric Sequences and Exponential Functions: Bouncing Ball
Explore a geometric sequence model through a simulation. Learners change the starting drop height of a ball and watch how the heights of following bounces change. They consider the ratio of the consecutive bounces as they analyze the...
CK-12 Foundation
Exponential Decay: Cool Sunglasses
Who wouldn't want to wear four pairs of sunglasses? Each pair of sunglasses reduces the percent of incoming light by one-half. An interactive tutorial helps young mathematicians build a graph that models this scenario. They then explore...
CK-12 Foundation
Exponential Growth: Exponential, Fractal Snowflakes
Examine an exponential growth model. Using a fractal, learners calculate the perimeters of each stage. When comparing the consecutive perimeters, a pattern emerges. They use the pattern to build an equation and make conclusions.
CK-12 Foundation
Scientific Notation: Matching Numbers to Notation
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.
CK-12 Foundation
Scientific Notation: Light Years to Centaurus Constellation
Connect scientific notation to a real-life situation. Measuring distances in our solar system require large numbers. As pupils make conversions using these large numbers, they begin to see the necessity of scientific notation. They...
CK-12 Foundation
Exponential Terms Raised to an Exponent: Exponential Sliders
Discover the pattern of exponents through an interactive lesson. Young mathematicians manipulate sliders and watch the result as they change the base or exponents in an expression. The tutorial shows them the simplified expression and...
CK-12 Foundation
Exponential Properties Involving Quotients
Watch as exponential expressions expand and contract! An interactive tutorial leads young mathematicians to the discovery of the quotient property of exponents. Through exploration, they realize that an x in the numerator will cancel an...
CK-12 Foundation
Solving a Matrix Equation: Mystery Matrix
Solve a matrix in code—color code. Pupils use the interactive resource to set up the matrix equation and its solution path. Scholars use the created solution path to determine the entries of the 2 X 2 solution.
CK-12 Foundation
Cramer's Rule
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.
CK-12 Foundation
Matrix Multiplication: Vectors
Visualize matrix multiplication on the coordinate plane. Pupils use the interactive to create a matrix multiplication problem using vectors. The scholars see the resulting product of the matrices as a vector.
CK-12 Foundation
Multiplying Matrices by a Scalar: Column Vectors
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...
CK-12 Foundation
Multiplying Matrices by a Scalar
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...
CK-12 Foundation
Multiplying Matrices by a Scalar: Making Matrix Patterns
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...
CK-12 Foundation
Matrix Algebra: Matrix Match
What size is the product of two matrices? Individuals determine that two matrices that can be multiplied and their resulting matrix by connecting them in the interactive resource. They make a generalization about the sizes of matrices...
CK-12 Foundation
Rectangular to Polar Form for Equations: Polar Coordinates
Plot points around a wheel. Pupils use an interactive tool to plot a point using polar coordinates with the aid of a wheel. Scholars use the interactive to answer five questions to finish the lesson. The resource provides background...
CK-12 Foundation
Operations with Vectors: GPS Device
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...