CK-12 Foundation
Measuring Rotation: Aircraft Headings
Measure angles in more than one way. The interactive introduces the concept of measuring angles from 0 to 360 degrees. Scholars explore the relationships between the angle and reference angles along with coterminal angles.
CK-12 Foundation
Adding and Subtracting Matrices: The Matrix Calculator
Discover the procedure to add and subtract matrices. Pupils use the interactive and discover the pattern in adding and subtracting matrices. Scholars adjust the entries in the addends and see the resulting changes in the sum. They also...
CK-12 Foundation
Using Quadratic Equations to Solve Problems: Construct a Soccer Field
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.
CK-12 Foundation
Discriminant
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...
CK-12 Foundation
Use Square Roots to Solve Quadratic Equations: Plus or Minus
Get two answers from a single equation. Pupils use the interactive to take the square root of nine and see the graphical representation of the two solutions. Individuals realize that solutions to quadratic equations that are solved by...
CK-12 Foundation
Completing the Square
Determine the area of a square with quadratics. Pupils use the interactive to visualize the process of completing the square. Scholars build a square area model to represent a quadratic expression then determine the amount that needs to...
CK-12 Foundation
Conversions between Degrees and Radians: Charting Hours in the Day
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...
CK-12 Foundation
Length of an Arc: Pi Hour
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.
CK-12 Foundation
Secant, Cosecant, and Cotangent Functions: Hold the Ladder!
Determine the length of a falling ladder. Pupils use an interactive to find the angle a ladder makes with the floor after it falls to answer questions. The scholars use the triangle formed in the interactive to determine values of...
CK-12 Foundation
Pythagorean Theorem for Solving Right Triangles: Solving the Triangle
Observe the change in the trigonometric ratios as angles vary. An interactive provides the values of trigonometric ratios for both acute angles in a right triangle. Pupils create a right triangle to match given criteria and find the...
CK-12 Foundation
Angles of Elevation and Depression: Fly-By Calibration
Determine the distance between two trees from afar. Pupils use an interactive resource to create two right triangles using trees and a plane. They determine the horizontal legs of each triangle to find the distance between the two trees.
CK-12 Foundation
Right Triangles, Bearings, and Other Applications: Sailing Race
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...
CK-12 Foundation
Quadratic Functions and Their Graphs: Soccer Ball Trajectory
Determine critical points in the flight of a soccer ball. Pupils use an interactive resource to find the vertex and x-intercepts of the graph of the trajectory of a soccer ball after being kicked. Scholars investigate the trajectory...
CK-12 Foundation
Comparing Methods for Solving Quadratics: Comparing Methods to Solve a Quadratic
Determine the quickest process for solving quadratics. Pupils compare the number of steps in the process of solving quadratics using three different methods. Scholars determine which situations lend themselves to the different solving...
CK-12 Foundation
Angles of Rotation in Standards Positions: Clock Angles
Use a clock face to develop angles representing standard position angles. The interactive allows pupils to create angles using the hands of a clock. Scholars discover that there is a difference in the angle formed using a clock face and...
CK-12 Foundation
Using Quadratic Equations to Solve Problems: Pizza Slice!
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.
CK-12 Foundation
Trigonometric Functions and Angles of Rotation: The Triangle in the Circle
Go around the unit circle and create triangles. Pupils move a point around the unit circles to visualize the triangle associated with the angle in standard position. The three main trigonometric functions are defined in terms of the legs...
CK-12 Foundation
Reference Angles and Angles in the Unit Circle: Exploring Reference Angles
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...
CK-12 Foundation
Translating Sine and Cosine Functions: Translating Sine
Learn how to slide sine back and forth and up and down. Pupils move the starting point of a graph of sine vertically and horizontally. They investigate the changes to the equation of the graph in relationship to the translation. They...
CK-12 Foundation
Whole Number Division: Pancakes
Given 13 pancakes and five plates, learners are asked to distribute the pancakes evenly among the plates. Is it possible? Will there be any remainders? These are the questions pupils are asked to answer after manipulating an interactive...
CK-12 Foundation
Least Common Multiple: Hot Dogs and Buns
Find the least common multiple of hotdog packages and bun packages in an interactive that allows pupils to drag and drop a set of four hot dogs into a pack of six buns to find the least common multiple of the sets.
CK-12 Foundation
Factor Pairs: Flower Garden
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?
CK-12 Foundation
Greatest Common Factor Using Lists
By creating a list of factors for two numbers, it is easier to see the greatest common factor. Each question in an interactive resource asks pupils to identify the greatest common factor for the numbers 24 and 36 in several different...
CK-12 Foundation
Whole Number Multiplication: Multiplication Map
How many miles did a car travel if it traveled at 55mph for three hours? What are the factors for this multiplication sentence? These are the questions young mathematicians must solve using a multiplication map.