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Graphing calculator

Graphing calculator is a computer science topic covered in the lgStudy science library. This page brings together a partial reference excerpt, illustrations, worked examples, real-world applications and a short study plan, so you can understand Graphing calculator rather than just read about it. In short: A graphing calculator (also graphics calculator or graphic display calculator) is a handheld computer that is capable of plotting graphs, solving simultaneous equations, and performing other tasks with variables. Most popular graphing calculators are programmable calculators, allowing the user to create customized programs, typically for scientific, engineering or education applications.

Graphing calculator — main illustration
Graphing calculator — illustration

Key takeaways

  • Graphing calculator belongs to computer science; place it in that map before memorising details.
  • Learn the definition first, then one example that makes the definition concrete.
  • Connect Graphing calculator to a quantity you can measure, compute or draw — that is where exam questions come from.
  • Reproduce the core statement of Graphing calculator from memory before moving on to harder problems.

Reference excerpt

A graphing calculator (also graphics calculator or graphic display calculator) is a handheld computer that is capable of plotting graphs, solving simultaneous equations, and performing other tasks with variables. Most popular graphing calculators are programmable calculators, allowing the user to create customized programs, typically for scientific, engineering or education applications. They have large screens that display several lines of text and calculations.

History

An early graphing calculator was designed in 1921 by electrical engineer Edith Clarke. The calculator was used to solve problems with electrical power line transmission. Casio produced the first commercially available graphing calculator (fx-7000G) in 1985. Sharp produced its first graphing calculator in 1986, with Hewlett Packard following in 1988, and Texas Instruments in 1990.

Features

Computer algebra systems

Some graphing calculators have a computer algebra system (CAS), which means that they are capable of producing symbolic results. These calculators can manipulate algebraic expressions, performing operations such as factor, expand, and simplify. In addition, they can give answers in exact form without numerical approximations. Calculators that have a computer algebra system are called symbolic or CAS calculators.

Laboratory usage Many graphing calculators can be attached to devices like electronic thermometers, pH gauges, weather instruments, decibel and light meters, accelerometers, and other sensors and therefore function as data loggers, as well as WiFi or other communication modules for monitoring, polling and interaction with the teacher. Student laboratory exercises with data from such devices enhances learning of math, especially statistics and mechanics.

Games and utilities

Since graphing calculators are typically user-programmable, they are also widely used for utilities and calculator gaming, with a sizable body of user-created game software on most popular platforms. The ability to create games and utilities has spurred the creation of calculator application sites (e.g., Cemetech) which, in some cases, may offer programs created using calculators' assembly language. Even though handheld gaming devices fall in a similar price range, graphing calculators offer superior math programming capability for math based games. However, due to poor display resolution, slow processor speed and lack of a dedicated keyboard, they are mostly preferred only by high school students. While many calculators support third-party software development, there are some modifications discouraged or challenged by manufacturers, particularly modifications that add unauthorized functionality or circumvent security protections. In 2009, Texas Instruments issued DMCA takedown notices to websites and bloggers sharing cryptographic keys to their devices that enabled the installation of custom firmware. In 2020, Texas Instruments removed assembly and C programming support for the TI-84 Plus CE operating system. According to Inverse, the company stated that they removed such functionality "to prioritize learning and minimize security risks".

Software graphing calculators

There are many graphing calculators that do not require dedicated hardware, but run on a device in a web browser or as an app. Notable graphing calculators of this type include Desmos and GeoGebra. Software calculators generally fall within two categories: native software tools and emulators of physical calculator models, such as the virtual TI-84 Plus CE and fx-cg50. Software graphing calculators run on general devices such as smartphones and personal computers. Interfaces often work with keyboard input and/or virtual buttons. Graphing calculator programs often allow for interactive or dynamic graphing and some like Desmos and GeoGebra are regularly updated to add features or fix bugs.

Graphing calculators in education

Attitudes towards graphing and other calculators in education have evolved over the years, and while some jurisdictions prohibit their use for classwork or exams, others permit or even require their usage, particularly for calculus and trigonometry classes. In 2022 Amplify bought Desmos Education / Curriculum.

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Illustrations

Graphing calculator: The Texas Instruments TI-89 Titanium graphing a sine type graph. (Generated from TI ScreenCapture software on TI Connect CE.)
The Texas Instruments TI-89 Titanium graphing a sine type graph. (Generated from TI ScreenCapture software on TI Connect CE.)
Graphing calculator: Graphing calculators are sometimes used for gaming.
Graphing calculators are sometimes used for gaming.
Graphing calculator: The Desmos graphing calculator in use
The Desmos graphing calculator in use
Graphing calculator: HP Prime, a modern graphing calculator capable of doing Symbolic Manipulation, Computer Algebra System (CAS)
HP Prime, a modern graphing calculator capable of doing Symbolic Manipulation, Computer Algebra System (CAS)
Graphing calculator: Typical ports on a graphing calculator. These contain a 2.5 mm I/O port for connecting to other calculators and a Mini USB port for connecting to a PC.
Typical ports on a graphing calculator. These contain a 2.5 mm I/O port for connecting to other calculators and a Mini USB port for connecting to a PC.

Worked examples

Example 1 — a first encounter with Graphing calculator

Start with the simplest possible case. Write down what Graphing calculator claims or describes in one sentence, then invent the smallest concrete situation in which that sentence is true. In computer science, the smallest case is usually a single object, a single equation or a single measurement. Check that every symbol or term in your sentence has a meaning in that case.

Example 2 — changing one variable

Take the situation from Example 1 and change exactly one quantity: double it, halve it, or set it to zero. Predict what should happen to Graphing calculator before you calculate. Comparing your prediction with the result is the fastest way to find out whether you understand the idea or only the words.

Example 3 — an exam-style question

Typical questions about Graphing calculator ask you to (a) state it precisely, (b) apply it to given data, and (c) explain a limitation. Practise writing all three answers in under five minutes; the third part is what separates a full-mark answer from an average one.

Applications of Graphing calculator

In research
Graphing calculator appears in computer science research whenever the underlying quantities have to be modelled precisely. Papers usually cite it as a starting assumption and then explore where it breaks down.
In technology and industry
Engineering practice reuses Graphing calculator in design rules, simulations and safety margins. Knowing the idea lets you read a specification sheet and understand why the numbers look the way they do.
In the classroom
Graphing calculator is common in secondary-school and first-year university syllabi. It links to neighbouring topics 20th-century inventions, Computer-related introductions in 1985, Graphing calculators, so understanding it makes those chapters shorter.
In everyday life
Look for Graphing calculator outside the textbook — in sport, cooking, traffic, electronics or the sky above you. An example you found yourself is remembered far longer than one you were given.
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How to study Graphing calculator in 20 minutes

  1. Read the reference excerpt below once, without taking notes.
  2. Close the page and write down what Graphing calculator means in your own words.
  3. Compare your version with the excerpt and mark what you missed.
  4. Work through the three examples above with pen and paper.
  5. Explain Graphing calculator out loud to somebody else — or to Teacher Smith in the lgStudy chat.

Frequently asked questions

What is Graphing calculator in simple terms?

A graphing calculator (also graphics calculator or graphic display calculator) is a handheld computer that is capable of plotting graphs, solving simultaneous equations, and performing other tasks with variables. Most popular graphing calculators are programmable calculators, allowing the user to c…

Why does Graphing calculator matter?

Because it connects several computer science ideas at once: it gives you a definition you can apply, a quantity you can calculate, and a way to check whether a result is plausible.

How should I study Graphing calculator?

Read the excerpt, restate it from memory, then work through the examples and applications listed on this page. The five-step study plan above takes about twenty minutes.

What does this page cover?

It gives you a compact reference excerpt plus original lgStudy explanations, examples, applications and study material on Graphing calculator.

Tags

  • 20th-century inventions
  • Computer-related introductions in 1985
  • Graphing calculators
  • Japanese inventions
  • Programmable calculators

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