College Board
2009 AP® Computer Science A Free-Response Questions
Coding and decoding is part of the work. Pupils and teachers use the released questions from 2009 to gather information on how topics show up on the AP Computer Science exam. The four questions range from the array data structure to...
College Board
2006 AP® Computer Science A Free-Response Questions
Inheritance is a programming problem. Released free-response questions allow pupils and teachers to experience the 2006 AP® exam phrases questions. The items range from the application of basic algorithms to using inheritance in a...
Beauty and Joy of Computing
Three Key List Operations
Develop an understanding of the Map, Keep, and Combine operations. The lab leads the class through the exploration of three list operations. Each task contains a self-check to measure scholars' understanding of the operation in the...
Beauty and Joy of Computing
Nesting Lists
Create lists within lists. The second lab in a series of five in the unit has pupils develop a simple contact list app. The tasks within the lab build the need for an abstract data type. Individuals build more complexity into their...
Code.org
Practice PT – Improve Your App
The last installment of a 21-part unit is a practice performance task that asks class members to design an app using skills from the unit. Scholars take one of the previous apps from the unit and modify it by adding elements and making...
Illustrative Mathematics
Running Time
Ever wonder why that computer image takes so long to load? Well, math is involved and provides the algorithms needed to compute the measure in nanoseconds. Young mathematicians plug the image measures into the formulas and compare the...
Shodor Education Foundation
Algebra Quiz
Reviewing the process of solving equations is as easy as one click of a button. Scholars solve linear and quadratic equations by using a helpful interactive. The computer app automatically scores responses, providing immediate feedback...
Illustrative Mathematics
Counting Squares
Challenge young mathematicians' understanding of squares with this geometry puzzle. The task is simple, identify as many squares as possible in a 3x3 array. Allow learners to work independently or in pairs as they search for squares,...
EngageNY
Revisiting the Graphs of the Trigonometric Functions
Use the graphs of the trigonometric functions to set the stage to inverse functions. The lesson plan reviews the graphs of the basic trigonometric functions and their transformations. Pupils use their knowledge of graphing functions to...
Illustrative Mathematics
Medieval Archer
Class members determine the distance a video game character must move to shoot an arrow over a castle wall. Players determine the new equation to enter to represent the trajectory of the arrow and find all the distances the character can...
California Education Partners
T Shirts
Which deal is best? Learners determine which of two companies has the best deal for a particular number of shirts. They begin by creating a table and equations containing each company's pricing structure....
Teach Engineering
Complex Networks and Graphs
Show your class how engineers use graphs to understand large and complex systems. The resource provides the beginnings of graph theory by introducing the class to set theory, graphs, and degree distributions of a graph.
Illustrative Mathematics
Data Transfer
A question to ask your class is, How fast is your Internet? That depends on the data transfer rate (DTR), which is the unit rate used in this activity. Math middle schoolers will calculate how long it takes to download a music file and a...
Illustrative Mathematics
Find the Angle
This a fun problem for young geometers to play with while gaining important insight into deductive reasoning. Some will find the answers very quickly, others might take a less direct path, but all will use their knowledge of the sum of...
Illustrative Mathematics
Congruent Triangles
Geometers prove that triangle PQR is congruent to triangle ABC by describing any combination of rotations, reflections, and translations that would prove it so. There is only this single task on the handout, but a detailed explanation of...
Illustrative Mathematics
Finding an Unknown Angle
Teach your class how to apply their knowledge of geometry as they explore the unknown. In order to find an unknown angle, students must understand that rectangles have four interior right angles, that right angles have 90 degrees, and...
Curated OER
Building a Quadratic Function Form
Comparing the movement of graphs geometrically when small changes are made to the parent function motivates this collaborative discussion on the transformations of functions to their various forms. Vertical and horizontal shifts due to...
Inside Mathematics
Quadratic (2009)
Functions require an input in order to get an output, which explains why the answer always has at least two parts. After only three multi-part questions, the teacher can analyze pupils' strengths and weaknesses when it comes to...
Virginia Department of Education
Lines and Angles
Explore angle relationships associated with transversals. Pupils construct parallel lines with a transversal and find the measures of the angles formed. They figure out how the different angles are related before constructing...
Illustrative Mathematics
Identifying Even and Odd Functions
Use a worksheet to give learners practice in identifying even and odd functions. The problems on this page are also appropriate for use as assessment items, or you can use them with GeoGebra to interactively present concepts. The task is...
Illustrative Mathematics
Graphs of Compositions
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....
Curated OER
ESL: Vocabulary for University Students
In this ESL vocabulary for university students learning exercise, students complete multiple choice questions that use "university" vocabulary. Students may click on an answer button for immediate feedback.
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