CK-12 Foundation
Sine Graph and Cosine Graph: Changing Amplitude
Scholars manipulate the amplitude of the graphs of sine and cosine, notice how the change in amplitude is reflected in their graphs, and answer several questions about the concept they noticed.
CK-12 Foundation
Whole Number Subtraction: Penguins Go for a Swim
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...
NOAA
Animals of the Fire Ice
When the sun's rays can't reach the producers in a food web, where does all the energy come from? Extreme environments call for extreme food sources. Young scientists investigate creatures that appear to get their energy from methane...
CK-12 Foundation
Using Quadratic Equations to Solve Problems: Construct a Soccer Field
Build a soccer field through a little mathematical analysis. Individuals manipulate the dimensions of a soccer field as they drag points to new positions. The simulation shows the corresponding intercepts and area. As pupils explore the...
CK-12 Foundation
Solving Problems by Factoring: Building a Doghouse
Building a doghouse is easier with a little mathematical help! Young scholars use sliders to adjust the length of the doghouse and watch as it affects the width and area. They then answer questions that help them discover the question...
CK-12 Foundation
Trigonometric Functions of Angles Greater than 360 Degrees: Snowboarding
Spin through the trigonometric functions. Scholars determine the angle of rotation a snowboarding snowman makes at various distances in his jump. The class members then calculate the values of trigonometric functions for those angles.
CK-12 Foundation
Reciprocal Identities
Get a better understanding of the trigonometric functions by taking a look at the flip side. Pupils create angles within a unit circle and compare the values of the standard trigonometric functions to their reciprocal functions. The...
CK-12 Foundation
Conversion between Degrees and Radians: Clock Angles and Measures
It's 3:30, what radian is it? Pupils create clock angles on a clock and determine the radian measure to the minute hand. They then use a conversion factor to convert from one measurement to another.
CK-12 Foundation
Horizontal Translations or Phase Shifts: Horizontal Translations
Find out what causes a function to slide. Pupils move a function along the x-axis and see the resulting change in its equation. Scholars determine the effects that the translation has on the intercepts, domain, and range of the function.
CK-12 Foundation
Horizontal Translations or Phase Shifts: Cosine
If cosine is shifted, how is its equation affected? Learners manipulate the graph of cosine by moving the y-intercept to different locations on the coordinate plane. Pupils determine the new equation that models the shifts.
CK-12 Foundation
Mixed Numbers as Improper Fractions: Pineapple Slices
Practice adding and subtracting improper fractions with pineapple slices. Young mathematicians move whole pineapple slices to visualize the addition of the 2/5s that is on Sally's plate. Pupils also use a combination of mixed numbers and...
CK-12 Foundation
Angular Velocity: 200 Meter Dash
Do curves slow runners down or help their speed? Pupils simulate a 200-meter dash to calculate the angular and linear velocity of a runner. They then determine whether the runner is faster around the curved section of the track...
CK-12 Foundation
Horizontal Translations or Phase Shifts: Horizontal and Vertical Translations
It is all about the shift. Pupils translate the graph of a cubic function to different marked locations on the plane and determine the new equation that represents the shifts. The activity is designed to encourage individuals begin...
CK-12 Foundation
Horizontal Translations or Phase Shifts: Tangent
Patterns can be shifty! Find the pattern when shifting the graph of tangent. Pupils move the graph of tangent to different locations on the coordinate plane. They observe what happens to the function and its vertical asymptotes...
CK-12 Foundation
Horizontal Translations or Phase Shifts: Sine
Shift a trigonometric function and find its new equation. Pupils translate a sine function on a graph. The scholars determine the equation of the function that represents the translated graph and observe the connection between a...
CK-12 Foundation
Joint and Combined Variation: Variable Sliders
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.
CK-12 Foundation
Solving Equations Using the Pythagorean Theorem: Cryptography
Don't keep this resource a secret. Individuals learn to use the Pythagorean Theorem to find Pythagorean triples. They also see how Pythagorean triples can be useful in the field of cryptography to encrypt secret messages.
CK-12 Foundation
Pythagorean Theorem and Its Converse
To be a right triangle, or not to be — that is the question. Scholars drag line segments in an Internet application to see if they form right triangles. Once they get the results of the activity, they connect them to the converse of the...
CK-12 Foundation
Unit Circle: Medieval Castle Defense
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...
CK-12 Foundation
Vertical Translations
Change the y-intercept by adding a constant to the function. Individuals move three functions vertically along the y-axis. As they observe how the equation of the functions change with the vertical movement, learners determine how...
CK-12 Foundation
Determination of Unknown Triangle Measures Given Area: Jib Sheets
Solving triangles is a breeze. Young boat enthusiasts solve problems involving triangles in the context of sails on a boat. They must apply different strategies, including the Law of Cosines and area formulas.
CK-12 Foundation
Multiplying Polynomials
Help your class find patterns in polynomial multiplication. Pupils multiply a trinomial by a binomial using a graphic organizer. They respond to questions about patterns observed in polynomial multiplication before a discussion question...
CK-12 Foundation
Monomial Factors of Polynomials: Mystery Boxes
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...
CK-12 Foundation
Polynomials in Standard Form
Set the standard for working with polynomials. Pupils arrange two polynomial expressions in standard form. The scholars respond to questions about the terms, coefficients, and degrees of the polynomials. They then discuss how they...