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
Lengths of Sides in Isosceles Right Triangles: Paper Football
Fuse sports and geometry by having your class create paper footballs—that are actually isosceles right triangles! Scholars use an interactive to create an isosceles right triangle to model a paper football. From the information in the...
CK-12 Foundation
Pythagorean Theorem to Determine Distance: Tree Shadows
Why is that shadow getting longer? Determine the changes in the length of a shadow as the sun changes position in the sky. Individuals use an interactive to calculate the length of a shadow at different times during the day via the...
CK-12 Foundation
Pythagorean Theorem to Determine Distance: Ladders
Young mathematicians to the rescue! Pupils use an interactive to find lengths relating a ladder against a building. The problems involve determining how long a ladder must be to reach a given floor to what floor can a given ladder reach.
CK-12 Foundation
Pythagorean Theorem to Classify Triangles: Missing Angles
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...
CK-12 Foundation
Identifying Sets of Pythagorean Triples: The iPad is a Pythagorean Triple
Compare iPad and HDTV aspect ratios. Individuals use the interactive to determine whether the measurements of screens represent a Pythagorean triple. The pupils determine what changes are needed to make a Pythagorean triple.
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
Identifying Sets of Pythagorean Triples: Matching Problem
What sets of whole numbers make up the measures of side lengths in right triangles? Pupils use an interactive triangle to learn about Pythagorean triples. Individuals find missing values in triples and learn more about Pythagorean...
CK-12 Foundation
Basic Inverse Trigonometric Functions: Ladder
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.
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...
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
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
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
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
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
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
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
Fish vs. Rose
Examine the science behind rates of diffusion. The video lesson and following interactive activity focus on the molecular components of different smells. Learners monitor the diffusion of each smell as they 'race' through a room.
CK-12 Foundation
Expand and Contract
Gaps are essential to engineering bridges and roads. Learners watch a video showing a typical construction of a bridge to see why they're so important. They then manipulate an interactive to model the effects of temperature change on the...
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
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
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
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
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...