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
Completing the Square
An interactive aids in understanding of how to complete the square for a quadratic equation. A set of five challenge questions tests this understanding.
CK-12 Foundation
Simplification of Radical Expressions: Irrational Garden Plot
All is not simple in the garden of rationals and irrationals. Learners use a context of a garden to practice simplifying irrational numbers involving radicals. They also find areas of garden with irrational side lengths.
CK-12 Foundation
Percent of a Number: Rock Climbing
What percent of the 100 ft. rock has Marta climbed? Young mathematicians find the percent of number (the rock height) by moving the climber up and down the rock.
CK-12 Foundation
Square Roots and Irrational Numbers: Estimating Radicals
Try out a resource using triangles to estimate radicals. An interactive app allows learners to approximate some irrational numbers involving square roots. They find the two consecutive numbers that an irrational number lies between by...
CK-12 Foundation
Vertical Translations: Vertical Shift of Sinusoidal Functions
Create a shift in TV viewing habits. The interactive presents a cosine model of an individual's TV viewing habits during a year. Class members move the model to reflect given conditions. Finally, they determine key features from 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 to...
CK-12 Foundation
Double Angle Identities: Ferris Wheel
Use a Ferris wheel to soar to new heights of understanding on double angle identities. Here is an interactive that applies an example of a Ferris wheel to show how doubling the angle does not double the value of a trigonometric ratio....
CK-12 Foundation
Inverses by Mapping: Inverse Functions
Map your way to successfully understanding inverse functions. Pupils use an interactive map to investigate how changes in the graph of a function affect the graph of its inverse. The results of the activity lead to the conclusion that...
CK-12 Foundation
Law of Cosines: Baseball Diamond
Catch a great resource! Individuals use an interactive that allows them to move players on a baseball field. They calculate distances between players using the Law of Cosines.
CK-12 Foundation
Ambiguous Case: Furniture Store Problems
Remove any ambiguity about using a helpful resource. Individuals use an interactive to find the number of triangles that fit given conditions. They find that some conditions can result in more than one triangle in the ambiguous case.
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
Factorization of Quadratic Expressions: Boxes for Factoring
Create rectangles from the terms of a trinomial. The interactive provides virtual algebra tiles for participants to use to create quadratic trinomials. Pupils use the tiles and arrange them into a rectangle to find the factors of the...
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
Multiplication of Monomials by Polynomials: Distributing the Monomial
An interactive shows graphically the distribution of a monomial across all the terms in a polynomial multiplication problem. Pupils relate the specific example to a more general problem then make conclusions to develop a pattern for the...
CK-12 Foundation
Factorization of Quadratic Expressions: Algebra Tiles
What does it mean to factor the difference of two squares? The interactive presents an area model of the difference of two squares. Pupils rearrange the model to create a rectangular area. The learners determine the length and width...
CK-12 Foundation
Multiplying Polynomials: Binomial Cork Board
Cover the cork board with pictures of the house. The interactive provides pictures of a house to duplicate and cover a given area. The pictures' dimensions are expressed as binomials. Pupils determine the area of the cork board based...
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 can...
CK-12 Foundation
Addition and Subtraction of Polynomials: Sliders
Slide the coefficients to determine sums of polynomials. The interactive contains sliders to change the coefficients of an addend in a polynomial addition problem. Pupils determine the coefficients of the addend to arrive at particular...
CK-12 Foundation
Addition and Subtraction of Polynomials: Adding Polynomials
Stack the like terms to add vertically. The resource contains a visual aid to help with the addition of polynomials using the vertical method. Pupils use the aid to calculate the sum of two polynomials.
CK-12 Foundation
Multiplication of Polynomials by Binomials: Rainbows
Is it possible to use the distributive property with several terms? Learners multiply a polynomial by a binomial using the same method as with a monomial. The scholars distribute each term of the binomial to each term in the polynomial...