Dr Denise M Robinson

Access Technology & Education Services for Blind and Low Vision

Search results for: “math”

Best Tactile and Math Graphics for Blind Students
Calculus graphics

Finding high-quality tactile graphics for advanced math often feels overwhelming, especially when you support blind students who want deeper conceptual understanding. However, you can simplify the process with a clear list of reliable sources. To begin, you can explore this curated collection of teacher-vetted tactile math libraries. These sites cover algebra and pre-calculus through Calculus I–III. In addition, they include limits, derivatives, integrals, function behavior, curves, and coordinate systems. As a result, you gain ready-to-use tactiles that strengthen conceptual learning for all students. For example, many of these graphics support problem-solving, graph analysis, and multi-step reasoning. Though the focus leans toward higher-level math, these sites still offer tactile graphics for every math level. Finally, you can review them in order, moving from the most comprehensive to excellent, knowing each one provides strong and dependable options.

The information below is in order of the most comprehensive to excellent so all options are great for finding anything you need. On the European site, just remember to select English

1. Tactile Inclusion Project (TIP) — 1,250+ Math Tactiles (Grades 1–13, including Calculus)

STPT = Science, Technology, Physics, and Tactile
It’s one of the major content categories inside the Tactile Inclusion Project (TIP) collection.

TIP created a huge set of tactile graphics across:
- Math
- Science
- Physics
- Technology
- Geometry
- Calculus
- Data & graphs
Best source for calculus‑level tactile graphics.
This project includes audio‑tactile and swell‑paper‑ready graphics for algebra → calculus, created by math teachers for blind students.

Calculus‑related tactiles available
- Limits (approaching values, left/right limits)
- Derivative concepts (slopes, tangent lines)
- Curve behavior (increasing/decreasing, concavity)
- Graphs of functions (polynomials, exponential, trig)
- Area under curves (Riemann rectangles)
- Integrals (definite/indefinite visualizations)
- Coordinate planes, axes, quadrants
- Piecewise functions
- Parametric curves
- Sequences & series visuals
- Optimization diagrams
Why it’s ideal for blind students:
- Graphics are simplified to core mathematical meaning
- Includes audio explanations
- Translatable into 29 languages
- Free to download
2. ProBlind — Global Database of 1,250+ Tactile Math Graphics- make sure you choose your language preference:

Calculus‑level graphics include:
- Function families
- Derivative slope diagrams
- Concavity & inflection points
- Trig function curves
- Exponential/logarithmic curves
- Limits & asymptotes
- Area under curves
- 3D surfaces (simplified for tactile use)
- Calculus
- Limits
- Derivatives (slopes, tangent lines)
- Integrals (area under curves)
- Concavity & inflection points
- Function families
- Riemann sums
- Asymptotes & behavior at infinity
- Pre‑Calculus & Algebra
- Trig functions
- Exponential/logarithmic curves
- Coordinate planes
- Piecewise functions
- Parametric curves
- Geometry & STEM
- Shapes
- Graphs
- Data displays
- 3D surfaces (simplified)
- All graphics are:
- Swell‑paper ready
- Embosser friendly
- Audio‑described
- Designed specifically for blind learners
- Where TIP Lives Now
- Because the original TIP website has a broken SSL certificate, the safe, active home for all TIP graphics is:
- ProBlind (secure host of TIP content)
- https://www.problind.org
- Everything TIP created is available there.
- Why Teachers Love TIP
- Graphics are clean, uncluttered, and concept‑focused
- Designed by math teachers who understand tactile learning
- Perfect for bright blind students who need conceptual depth
- Free and globally accessible
- Why it’s powerful:
- Free because it is:
- Designed specifically for blind students
- Covers all grade levels, including advanced math
- Graphics are tested in blind schools
Best Tactile and Math Graphics for Blind Students at Perkins

3. Perkins School for the Blind — Tactile Graphics Library

Large library of tactile graphics ready for PIAF/Swell machines.

Calculus‑related graphics include:
- Coordinate planes
- Graphs of functions
- Trigonometric curves
- Geometry foundations needed for calculus
- Rate‑of‑change visuals
- Area/volume diagrams
Why it’s useful:
- Teacher‑adapted worksheets
- Clean, uncluttered diagrams
- Many graphics can be used as pre‑calculus foundations
4. BTactile is included in Perkins link— 5,500+ Swell‑Paper‑Ready Graphics

One of the largest free tactile image libraries online.

Calculus‑related graphics include:
- Graphs of functions
- Trig curves
- Exponential/logarithmic functions
- Geometry for limits & derivatives
- Coordinate systems
Why it’s valuable:
- Massive library
- Ready for immediate embossing
- Great for enrichment and practice
5. APH Tactile Graphic Image Library (TGIL)

Search output of Links of all graphics

Requires free registration.

Calculus‑related graphics include:
- Graphs
- Coordinate planes
- Geometry diagrams
- Algebraic foundations
Why it matters:
- APH graphics follow tactile design standards
- Good for building conceptual scaffolding
6. Zychem Tactile Library is included in the APH Library

Swell‑paper graphics for math and science.

Calculus‑related graphics include:
- Graphs
- Geometry
- Trig curves
- Function diagrams
7. Paths to Technology (Perkins) — Individual Tactile Math Lessons

Useful for calculus prep:
- Absolute position
- Coordinate grids
- Graphing activities
- Function behavior
8. Tactile Graphics for Geoscience Education

Not calculus‑specific, but includes 3D surfaces, gradients, and spatial diagrams helpful for multivariable calculus.

9. APH Tactile Graphics Image Library

Search the Tactile Graphic Image Library

The TGIL: History and Mission

The TGIL was established in 2007 by the American Printing House for the Blind (APH) to support transcribers by providing free, customizable tactile graphics templates for images that are commonly used in K-12 education. The goal of the TGIL was to help speed up textbook transcription by providing a good starting point for creating high-quality tactile graphics.

While supporting transcribers remains an important part of the TGIL’s mission, we have recently expanded the scope and purpose of the TGIL to provide graphics that have been “optimized for the Monarch.” These graphics support direct-to-student delivery of graphics for use in a digital format with the Monarch multi-line tactile display.

The metadata for each graphic in TGIL will indicate whether the graphic was created for embossing and/or whether it has been optimized to display on the Monarch. We also invite users to request graphics for use on the Monarch — or request remediation of an existing graphic — when an “optimized for Monarch” alternative is not yet available.
January 29, 2026
JAWS UEB/Nemeth Settings + Accessible Math in Word & Braille Editor
$JAWS UEB/Nemeth Settings-Word and Braille Math Editor$
JAWS UEB MATHS/Nemeth Settings-Word and Braille Math Editor

If you’ve ever struggled to get JAWS to read math correctly on your computer, this walk-through will make your life much easier. In this video, I demonstrate how to set JAWS for either UEB Maths or Nemeth math using the JAWS UEB/Nemeth Settings, then show you how to create accessible math using Word’s Math Editor and the Braille Math Editor. Whether you’re a TVI (Teacher of the Blind), a student, or an AT (Access Technology) specialist, these steps will help you produce clear, accurate, and accessible math every time.

WORD MATH EDITOR Setup

1. Open the Math Editor
- Alt + =
2. Open the Equation Tools tab
- Alt + J, E
3. Open Math Options (Settings)
- T, 1
  (This opens the Math Options dialog.)
4. Set Alignment to Left
Inside the Math Options dialog:
- Alt + J → moves to Justification
- L → Left alignment
- Alt + D → Set as Default
- Tab, Tab → to OK
- Enter
- When asked to save as default, choose Yes
  (This saves the settings to the Normal template.)
5. Check Conversion (if math looks wrong)

While inside a math zone:
- Alt + =
- Alt + J, E
- C → Convert
- Make sure it is set to Professional
WORD MATH EDITOR — Command Sequence (JAWS + Keyboard)

Open the Math Editor
- Press Alt + =
  This inserts a new math zone and opens the Word Math Editor.
Move in and out of the math zone
- Right Arrow → move into the math zone
- Right Arrow again → move through elements
- Left Arrow → move backward
- Esc → exit the math zone and return to normal text
Insert common structures
- Fraction → Ctrl + /
- Exponent → Ctrl + Shift + =
- Subscript → Ctrl + =
- Square root → type \sqrt then press Space
- Matrix → type \matrix then press Space
- Parentheses → type ( then ) (Word auto‑sizes them)
Insert math symbols using LaTeX shortcuts
- \pi + Space → π
- \alpha + Space → α
- \neq + Space → ≠
- \le + Space → ≤
- \ge + Space → ≥
- \div for divide
- \times for times
- \sqrt for square root
(Word’s Math Editor accepts most LaTeX commands-check out list in link.)

Navigate inside structures
- Right Arrow → move to next placeholder
- Left Arrow → move back
- Ctrl + Right Arrow → jump out of a structure
- Ctrl + Left Arrow → jump into previous structure
- To read the braille the easiest–OPEN BME
BRAILLE MATH EDITOR (BME) — Command Sequence (JAWS + Keyboard)

Open the Braille Math Editor
- Press Alt + Shift + =
  (This opens the BME window for UEB contracted math input.)
Choose UEB or Nemeth

Inside BME:
- Press Alt + M → opens Math Code menu
- Press U → UEB Math
- Press N → Nemeth Math
(You can teach students to confirm the code before typing.)

Enter math using braille input
- Type using six‑key entry on the braille display or keyboard
- Use Space to confirm symbols
- Use Backspace to correct braille cells
Navigate inside the math expression
- Left Arrow → move left
- Right Arrow → move right
- Ctrl + Left Arrow → jump to previous element
- Ctrl + Right Arrow → jump to next element
Insert common structures
- Fraction → dots 3‑4 then 3‑4 (opening and closing fraction indicators)
- Superscript → dot 5
- Subscript → dot 2
- Square root → dots 1‑2‑3‑5
- Parentheses → dots 1‑2‑6 and 3‑5‑6
(These follow UEB math rules; Nemeth uses different indicators.)

Send math back to Word
- Press Alt + S → Save and return to Word
- The math appears in the document as a fully formatted math object
Exit without saving
- Press Alt + F4
- Choose No if you don’t want to insert the math
Watch Video for full details and below are essential keyboard commands to teach students.
January 29, 2026
Tiger 9 with Be My Eyes to “see” graphics for Math
Dr. Robinson demonstrates the power of Tiger 9 with Be My Eyes. First demonstrating how to use Tiger 9 software from ViewPlus Technology, to translate math content and add graphics in WORD, emphasizing accessibility features for visually impaired users. She then explains the process of inserting and editing images, including the use of alt text and AI-powered tools for image description, using Be My Eyes APP. Finally, Dr. Robinson covers the steps for creating, editing, and embossing math with graphics, as well as translating and printing text for visually impaired individuals.

Steps for Tiger 9 with Be My Eyes

This tutorial on using Tiger 9 software with the Be My Eyes app guides users in to make math content accessible to visually impaired students.
1. Tiger 9 Software: Dr. Robinson first demonstrates how to use Tiger 9 from ViewPlus Technology. Tiger 9 will translate math content and emboss graphics in Microsoft Word. This software enhances accessibility for visually impaired users by converting text and graphics into formats that assistive technologies can read.
2. Inserting and Editing Images: Next, she explains the process of inserting and editing images in Word. She includes the use of alt text and AI-powered tools for image description. The Be My Eyes app provides detailed descriptions of math diagrams and other visual content to visually impaired students.
3. Creating and Embossing Math with Graphics: Then, Dr. Robinson covers the steps for creating, editing, and embossing math content with graphics. This includes translating text into braille and printing it, ensuring that visually impaired individuals can access and understand the material.
4. Practical Steps:
- Practice using Tiger 9 software for math equations and graphics in Word.
- Use the Be My Eyes app to describe math diagrams to visually impaired students.
- Create profiles in Tiger software for efficient translation of math content to braille.
- Complete math assignments in Word using audio, braille display, and embossing graphics and math work.
You can watch the full tutorial on YouTube here.

$Be My Eyes Translation of math image$
Be My Eyes Translation of math image

Access More Tiger Math Lessons
December 10, 2024
Emboss Math with Tiger 9 TSS in WORD

This video takes you through setting up the Tiger 9 software from ViewPlus Technology for translating math equations into braille so you can emboss Math with Tiger. Dr. Robinson demonstrates how to access the Tiger ribbon, open her existing profile settings, and configure options like the braille type and math notation style. She also shows how to adjust ink settings if needed for embossing printed text alongside braille. Then she translates the math and gets it ready to emboss for student.

Tiger 9 Math Translation and Editing

Dr. Robinson demonstrates how to use Tiger 9, to translate math content in Word. She use a 40 cell FOCUS braille display but emphasizes the importance of using an 80-cell braille display if the student is going into math or STEM fields. Dr. Robinson also explains how to use the WORD math equation editor or Braille math editor on the Braille display to emboss Math with Tiger. She concludes by solving a right triangle problem using the math contents then embossing the math for hard copy if desired.

Emboss Work with Tiger 9 in WORD

Go onto learn how to emboss graphics in WORD using Tiger software also for students to feel all needed math symbols and pictures to learn on their own. Ideally, all students have embossers at home. ViewPlus embossers with software are fully accessible for all exclusive screen reader users.

December 10, 2024
$Tricks to Learning Math$

Tricks to Learning Math

Dr. Robinson emphasizes practical and efficient math strategies for visually impaired students using assistive technology. Moreover, she demonstrates accessible solutions that empower students to engage independently in math tasks. Some of the best tricks to learning math for visually impaired students include understanding how to use technology effectively. For example, she teaches the Word Math Editor, activated with Alt+Equals, which enables students to access and edit equations effectively. Furthermore, this tool allows students to calculate expressions, such as a circle’s area, using keyboard shortcuts for greater efficiency. In addition, she introduces the Braille Math Editor, which enhances accessibility and provides tactile support for understanding complex math concepts. Continue with Advanced Math with LaTex using Mathkicker.AI-Matrices also.

Dr. Robinson configures Braille displays and the Braille Math Editor to improve accessibility and clarity for students. Students solve problems efficiently by using built-in features like scientific calculators and shortcuts such as Ctrl+C and Ctrl+V.

Dr. Robinson demonstrates advanced techniques, including LaTeX for math notation and proper vinculum coverage in equations. She converts equations between professional and linear formats to ensure accuracy in math tasks. Knowing tricks to learning math, such as using LaTeX, can greatly benefit students. Add Tactile Math Tools for even better understanding.

She teaches code structures and tools to help students work independently with their peers during lessons. By optimizing settings and using shortcuts, students gain confidence and efficiency in solving complex math problems.

Dr. Robinson ensures students participate fully in math classes and achieve academic success. Her methods, which include easy ways to learn math, integrate the latest assistive technologies to empower visually impaired students in STEM fields.

Increase Learning in Nemeth also with Digital Math in WORD and Braille Math Editor for Nemeth or UEB Input/Output via MathCat with JAWS or NVDA

Continue advancing your math skills with Desmos Graphing Calculator and creating all shapes but we focus on Geometry. You learn how to create graphs with solid or dotted lines with color and more. Find the steps you need to compete with your peers in this video. More Mathkicker lessons to show you the ease of completing math quickly to hand into teachers.

Ask TechVision to Teach directly to teachers for School’s Professional Development Days.

November 27, 2024
Advanced Math with LaTex using Mathkicker.AI-Matrices

In today’s digital age, technology has transformed how we approach learning, especially in subjects like accessible math. More importantly, this transforms how all screen reader users can access math like their peers. MathKicker.AI math program provides access to AP classes and advanced math for high school and college students. This accessible tool caters to diverse learning needs, offering compatibility with various screen readers. This video features Advanced Math with LaTex and shows how it can enhance your mathematical skills, making complex equations easier to tackle.

Matrices

Dr. Robinson explains the basics of navigating MathKicker.AI. Matrices can easily create a Matrix with Alt = and type it in LaTex. This quickly provides accurate math and F9 will allow you to see and enter LaTex. You can also learn the LaTex from just typing the math into Mathkicker. The session showcases the ease of solving matrix equations, demonstrating how to find the matrix C resulting from matrices A and B.

Throughout the demonstration, Dr. Robinson shares tips for efficient navigation, including using the home key and arrow keys to read through equations. She highlights the functionality of the F9 key for processing inputs and emphasizes the need to verify details when working with complex equations.

Advanced Math with LaTex in Mathkicker.AI

As she works through a specific problem, Dr. Robinson illustrates how to structure equations and maintain clarity while performing calculations. Remember to double-check your work and she encourages people to utilize the program’s features for swift problem-solving.

By the end of the session, Dr. Robinson summarizes the output clearly, showcasing the successful application of Math Kicker. She encourages students to explore this tool for enhancing their math skills, particularly in higher education and advanced high school courses.

This tutorial not only highlights the software’s capabilities but also empowers screen reader users and all students to embrace technology in their learning to keep up with their peers.

Mathkicker editor with Jaws or NVDA and display for math access for advanced math

Other Math Lessons from Basic Math to Advance Skills

Many Lessons on Matrices and other math skills

FIRST Lesson: Optimizing Windows 11 Efficiency for Screen Reader with Key Settings and Configurations

Digital Math in WORD and Braille Math Editor for Nemeth or UEB Input/Output via MathCat with JAWS or NVDA

Digital Math with UEB, NVDA completing Matrices in WORD

MathKicker. AI for Matrices with NVDA or JAWS-Speed in completing Work

Geometry and Graphing in Desmos

Geometry-” Drawing” shapes in Desmos

Making the Inaccessible—Accessible

Digital Quadratic Math with Jaws or NVDA in Mathkicker.ai – auditory and/or braille display

Transcribe math images into text in WORD math editor with Mathkicker and transcriber tricks – YouTube

October 19, 2024
Digital Math in WORD and Braille Math Editor for Nemeth or UEB Input/Output via MathCat with JAWS or NVDA

Digital Math in WORD and Braille Math Editor for Nemeth or UEB Input/Output via MathCat with JAWS or NVDA. This lesson empowers you to learn skills for teaching yourself and others Nemeth or UEB math. By incorporating Math AI, you can transform inaccessible math images into usable formats in just seconds, significantly speeding up the learning process compared to transcribing character by character. While the video covers some essential skills, the following links provide comprehensive lesson details from the Digital Math in WORD Video.

MathCat with JAWS or NVDA

Learning how to teach or learn Nemeth math using assistive technology can seem challenging, but with the right tools and approach, it becomes manageable and effective. Whether you’re a parent helping your child, an educator supporting students, or an independent learner, using a Focus 40 Braille Display and JAWS screen reader provides an accessible way to master Nemeth code. In this guide, I will walk you through setting up your technology and using the Braille Math Editor to confidently teach and learn math concepts from basic arithmetic to advanced algebra. Let’s simplify the process and enhance your skills.

Setup your computer to work the best with Screen readers and Digital Math in WORD

Before beginning the challenge of learning Nemeth or UEB with screen readers, make sure you Optimize your Windows 11 computer for Efficiency with Screen Readers with Key Settings and Configurations. Optimizing Windows 11 Efficiency for Screen Reader with Key Settings and Configurations takes an hour most often 2 or so to complete. Longer if you are new to screen reader and how Windows 11 works. It is different than other OS systems so give yourself grace as you learn all there is to know about this system. As you move through your keyboard and discover you would like a particular key somewhere, like the applications key, you can remap a key to create that yourself. AND, you MUST have Local Admin on School Computers.

Mathkicker.AI

Mathkicker for digital math access with Jaws or NVDA-Login Page

Making inaccessible Math images into accessible math is easily done with Mathkicker.AI. With this full demonstration of Digital Quadratic Math with Jaws or NVDA in Mathkicker.ai – auditory and/or braille display. More importantly, is finishing work quickly with Mathkicker.AI in completing advanced mathematics such as Matrices with a quick command of Alt M and typing in the size of the matrix that is needed.

Mathkicker editor with Jaws or NVDA and display for math access

Continue advancing your math skills with Desmos Graphing Calculator and creating all shapes but we focus on Geometry. You learn how to create graphs with solid or dotted lines with color and more. Find the steps you need to compete with your peers in this video. More Mathkicker lessons to show you the ease of completing math quickly to hand into teachers.

These lessons and anything you need can be added to your School’s Professional Development Days.

UEB Math Lessons to continue to add to your Learning

Teach or Learn UEB Math with JAWS and Braille Display

UEB Math Lessons Galore with AI

Desmos Graphing Calculator

Creating Geometry Tables in Desmos from WORK

Geometry in DESMOS graphing Calculator with screen reader

STEM: Desmos with JAWS and Embossing

Use Desmos graphing calculator to emboss graphs & insert Graphs into Math Work for teacher

3D graphing calculator with screen reader commands in Desmos

Desmos graphing calculator with shaded Parabolas, screen reader, braille display and embosser

Drag and Drop with Desmos using graphing games with JAWS

Desmos Graphing Calculator: Creating and Exporting Graphs

October 19, 2024
Teach or Learn UEB Math with JAWS and Braille Display

In this lesson, you’ll learn how to teach and practice Unified English Braille (UEB) math using a Focus or Brailliant Braille display with JAWS. Start by setting up the correct Braille settings in JAWS, ensuring your Braille display and cursor follow each other for accurate feedback. Adjust your language profiles and choose UEB Grade 2 for output and input. Navigate through basic arithmetic and algebra problems using JAWS’ Braille Math Editor, making corrections easily. This step-by-step method will help both new and experienced teachers guide students in learning UEB math effectively.

First, set up JAWS properly by accessing the JAWS Settings Center Insert + 6 followed by (Ctrl+Shift+D) to set default. Type out and Navigate to “Braille mode” and ensure your display is set to “Structured” mode. Enable the settings that allow the active cursor to follow the Braille display and vice versa. This ensures that wherever your student is on the screen, you can follow along on your display. Turn on the Braille Viewer also to see the braille at the top of your monitor if you have sight.

Next, Alt + F to Language profiles then Alt + D to details and open and confirm UEB Grade 2 and Unicode by default. You can continue to Tab or Alt + M for math and select the UEB Math option in JAWS settings. Enter to close then Alt A to apply and enter to close. You are ready to go.

Practice using the Braille Math Editor

For practicing, you’ll use JAWS Braille Math Editor to create and edit math expressions as 1 option. Other options are WORD Math editor and LaTex as another as you become more advanced. Start with basic arithmetic, typing out equations such as “1+2=3,” and use the Braille display to feel the corresponding Braille output. This method works for both teaching and self-learning. As you advance to algebra, geometry, Trigonometry and calculus, use the WORD Math editor or Braille Math Editor to navigate complex equations. The editor allows easy error correction, reinforcing concepts as students work through problems.

Teach Math with Jaws and braille display-Basic to advanced math formulas

This method also helps auditory learners who can listen to JAWS while simultaneously feeling the Braille on the display. Practicing consistently with both the Braille Math Editor and JAWS will solidify UEB math skills and improve teaching efficacy.

This lesson offers a comprehensive approach to teaching UEB math, ensuring accessibility and precision in learning for all. Add Teach or Learn Nemeth using JAWS and braille display to teach all skills.

Other Math Lessons from Basic Math to Advance Skills

FIRST Lesson: Optimizing Windows 11 Efficiency for Screen Reader with Key Settings and Configurations

Digital Math with UEB, NVDA completing Matrices in WORD

MathKicker. AI for Matrices with NVDA or JAWS-Speed in completing Work

Geometry and Graphing in Desmos

Geometry-” Drawing” shapes in Desmos

Making the Inaccessible—Accessible

Digital Quadratic Math with Jaws or NVDA in Mathkicker.ai – auditory and/or braille display

Transcribe math images into text in WORD math editor with Mathkicker and transcriber tricks – YouTube

October 18, 2024
Nemeth or UEB via MathCat: Math Access in WORD and Braille Math Editor with JAWS or NVDA

Dr. Denise M. Robinson, PhD, CTVI, AT, and CEO of TechVision, LLC, leads worldwide remote teaching for blind and low vision students. Her YouTube channel, @DrDeniseMRobinsontech and this website, showcases making digital math accessible with MathCat with JAWS, or NVDA. This video provides 8 different ways to complete digital math with several options using the Braille Math Editor in WORD for UEB or Nemeth math, highlighting the advantages of Nemeth or UEB via MathCat. Links with full video lessons from this video follow. She also demonstrates reading math on a Braille display and creating or making complex formulas accessible. AI tools like MathKicker.AI enhance efficiency. The series includes geometry and graphing with Desmos. Dr. Robinson emphasizes that digital access is crucial for competitive education and inclusion with peers. Learn how to teach or Learn UEB Math Code.

Nemeth or UEB via MathCat: 8 videos on Math Access in WORD and Braille Math Editor with JAWS or NVDA

Video Lessons from this Post:

Optimizing Windows 11 Efficiency for Screen Reader with Key Settings and Configurations

UEB (or Nemeth) Math with Braille Math Editor -You can read 2 lines of math on a Braille Display using Nemeth or UEB via MathCat

Making Inaccessible Accessible WITH Quadratic Math Formulas

Matrices in WORD with NVDA or Jaws-LaTex or Braille on Display

Life IS a competition and Digital access is key with Instruction

Life is a competition, and digital access is essential. It levels the playing field, enabling equal opportunities for everyone. Digital tools enhance skills and productivity. They open doors to education and employment. Having a qualified access technology instructor is crucial for teaching students Nemeth and UEB math codes to access everything their peers do. Embracing technology is vital for success and inclusion in today’s world.

MathKicker. AI for Matrices with NVDA or JAWS-Speed in completing Work

Geometry and Graphing in Desmos

Geometry-” Drawing” shapes in Desmos

Digital Math in WORD and Braille Math Editor for Nemeth or UEB Input/Output via MathCat with JAWS or NVDA with a picture of a calculus problem

Other Digital access Math Lesson

Digital Math with UEB, NVDA completing Matrices in WORD

UEB Math with NVDA in WORD using unicode-LaTex or Braille

UEB Math Lessons Galore with AI

October 14, 2024
Trigonometry with Math Editor: LaTex or Braille, JAWS or NVDA
To enter college, you need a foundation in Algebra and Geometry. For STEM fields, add Calculus and Trigonometry. Trigonometry studies the relationships between angles and sides of triangles. With tools like Trigonometry with Math Editor, Braille Math Editor and screen readers, you can easily explore these relationships. It uses sine, cosine, and tangent functions to relate angles to side lengths. These functions are essential in physics, engineering, and astronomy. They help solve problems involving distances and angles. For example, trigonometry determines the height of a building or the distance across a river without direct measurement.

Trigonometry provides tools to model and solve problems involving angles and distances. It is fundamental to mathematics and its applications.

Going to College

If you go into STEM field IN college, you need advanced classes in but not limited to college algebra, trigonometry and calculus. When you are a screen reader and Braille user, these skills will allow you the options and opportunities to complete work as sighted peers.

Let’s talk about: Trigonometry which is a branch of mathematics that studies the relationships between the angles and sides of triangles

Right triangle for Trigonometry with math editor

You can copy this content and paste into WORD OFFICE 365. Make sure you select Math 1 at a time and alt = to turn into true math. Then you can Ctrl = to change to professional or keep the LaTex then enter and braille it in again using Nemeth or UEB Math or practice LaTex.

Problem 1: Finding the Length of a Side

Given: A right triangle with one angle of 30° and the hypotenuse of 10 units.
Find: The length of the side opposite the 30° angle.

Solution:
1. Use the sine function:
  - \sin(30°) = \frac{\text{opposite}}{\text{hypotenuse}}sin(30°)=hypotenuseopposite
1. Substitute the known values: \sin(30°) = \frac{x}{10}sin(30°)=10x
1. Since: \sin(30°) = 0.5sin(30°)=0.5
Then we have: 0.5 = \frac{x}{10}0.5=10x
1. Solve for (x):
x = 10 \times 0.5 = 5x=10×0.5=5

Problem 2: Finding an Angle

Given: A right triangle with sides of 5 units (adjacent) and 12 units (opposite).
Find: The angle opposite the 12-unit side.

Solution:
1. Use the tangent function:
\tan(\theta) = \frac{\text{opposite}}{\text{adjacent}}tan(θ)=adjacentopposite
1. Substitute the known values:
\tan(\theta) = \frac{12}{5}tan(θ)=512
1. Use the inverse tangent function:
\theta = \tan^{-1}\left(\frac{12}{5}\right)θ=tan−1(512)
1. Calculate the angle:
\theta \approx 67.38°θ≈67.38°

Problem 3: Finding the Hypotenuse

Given: A right triangle with legs of 6 units and 8 units.
Find: The hypotenuse.

Solution:
1. Use the Pythagorean theorem: c^2 = a^2 + b^2c2=a2+b2
1. Substitute the known values: c^2 = 6^2 + 8^2c2=62+82
1. Calculate: c^2 = 36 + 64 = 100c2=36+64=100
1. Solve for (c):
c = \sqrt{100} = 10c=100=10

Problem 4: Finding a Side Using Cosine

Given: A right triangle with one angle of 45° and an adjacent side of 7 units.
Find: The hypotenuse.

Solution:
1. Use the cosine function:
\cos(45°) = \frac{\text{adjacent}}{\text{hypotenuse}}cos(45°)=hypotenuseadjacent
1. Substitute the known values: \cos(45°) = \frac{7}{x}cos(45°)=x7
1. Since: \cos(45°) = \frac{\sqrt{2}}{2}cos(45°)=22
Then we have: \frac{\sqrt{2}}{2} = \frac{7}{x}22=x7
1. Solve for (x):
x = \frac{7 \times 2}{\sqrt{2}} = 7\sqrt{2} \approx 9.9x=27×2=72≈9.9

Problem 5: Finding an Angle Using Sine

Given: A right triangle with a hypotenuse of 13 units and an opposite side of 5 units.
Find: The angle opposite the 5-unit side.

Solution:
1. Use the sine function:
\sin(\theta) = \frac{\text{opposite}}{\text{hypotenuse}}sin(θ)=hypotenuseopposite
1. Substitute the known values:
\sin(\theta) = \frac{5}{13}sin(θ)=135
1. Use the inverse sine function:
\theta = \sin^{-1}\left(\frac{5}{13}\right)θ=sin−1(135)
1. Calculate the angle:
\theta \approx 22.62°θ≈22.62°

These lessons and anything you need can be added to your School’s Professional Development Days.

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