Combine functions for the first time. Pupils investigate composition of functions using a function table and then function machines in the 17th installment in a 23-part Precalculus series. Scholars learn the two notations for composition...

Use equivalent expressions to reveal information about their graphs. Pupils verify that two quadratic functions are equivalent. By comparing the two expressions, they determine the vertex, the zeros, the y-intercept, and the...

Stay composed while solving problems. Learners put their knowledge of compositions to solve problems. To connect with the concept, scholars compose equations to answer questions from real-world situations. Finally, pupils practice using...

Does it seem impossible to make academic growth with advanced learners? Without rigorous instruction, it likely is impossible. The AP® English Language and Composition: The Rhetoric offers a complete resource for educators teaching...

Examine social strife in art. Class members first observe some pieces, and then find an image to inspire their own art. They outline the picture, analyze the composition, make alterations, and color their work.

The set for a play combines design elements (style, line, shape, mass, measure, position, color, and texture) and principles of composition (unity, harmony, contrast, variation, balance, proportion, and emphasis) to create a particular...

Rhetoric is the key to character. Scholars work through four activities using documentary films to complete rhetoric analysis. Learners participate in writing a note to a friend and then analyze their own writing. They also view clips...

But what if the function cannot be inverted? Pupils continue to work with inverses of functions using tables, graphs, and algebraic equations. They restrict the domain of non-invertible functions to make them invertible. Using...

It might help when working with this resource to give an example of a composition function. For example, the amount of time it takes to get to work depends on the amount of traffic; the amount traffic depends on the time of day....

Groups of three scientists from the rocky planet Zog investigate the composition of soil so that they can take the information back to their home, create soil there, and begin to grow food.

What is the most effective way to teach scholars how to write a research paper? Educators explore the topic with the AP® English Language and Composition exam resource. The reference material guides teachers in best practices for...

The introduction to Tchaikovsky's Swan Lake and the finale of his Symphony No. 4 provide young musicians with an opportunity to investigate the music elements composers employ to develop the themes they want to create. They compare the...

Saturn is really far away, but knowledge of its composition is within reach. Future astronomers learn how scientists use spectra to remotely determine the chemical composition of a planet or moon. They try out this concept by analyzing...

It's not always easy to persuade others. However, it may even be harder to teach others how to be persuasive. Educators get personal insight from Brent Staples, an influential commentator, as well as gain ideas and activities on teaching...

Put the spectrograph to good use. Using a spectrograph individuals built themselves, young scientists examine and record the emission spectra of different light sources. They use the spectra to compare and contrast the compositions of...

Play with dimensions and practice making a two-dimensional scene look three-dimensional. Class members view pieces of art and then make their own scenes by layering different materials and drawing in details. Check out all the tabs for...

Organic or mineral? How does the matter matter? Second graders use their knowledge of the rock cycle to label the different components in garden soil.

Our sense of smell has a wonderful way of bringing back memories. Unlock those memories with an olfactory-inspired writing prompt that challenges writers to tell a story about a specific smell and the memories it conjures.

Lilly Martin Spencer's "Peeling Onions" is the subject of a series of exercises that model for learners how to use the elements of art to read a painting. A series of worksheets focus viewers' attention on how Spencer uses...

Project-based learning in a music theory class? Take note. Young songwriters compose, record, copyright, and promote their original songs. They even design their own CD cover.

Life on Earth is made possible by the unique composition of its atmosphere. Working collaboratively, a scale model is created as young scientists learn about the different layers of gas that surround the planet. Cards are included that...

If you're looking to start a unit based around narrative writing, make sure to consider this resource while you're planning. This book covers five topics: writing personal narratives, writing narratives about others, writing...

Ralph Ellison's Invisible Man is the most frequently cited novel for the Advanced Placement Literature and Composition Open Response Question. Those new to using the book and and veterans as well will find the teaching strategies, the...

Ralph Ellison's Invisible Man is difficult to read and difficult to teach. The novel is so highly regarded that it is one of most often listed as an option for the AP Literature and Composition exam. The materials in this packet from PBS...