# Desmos Graphing Calculator Tips for Algebra 1 (Part 1)

TLDRThis video offers Desmos graphing calculator tips tailored for Algebra 1, aligning with Virginia State Standards. It covers graphing equations, inequalities, systems of equations, and finding zeros or x-intercepts. The tutorial demonstrates how Desmos simplifies graphing compared to traditional calculators, allowing equation input in any form. It also addresses the use of sliders for variable input, navigating function forms, and handling errors with x and y variables. The presenter promises a follow-up video on regression techniques.

### Takeaways

- 📊 Desmos is a powerful graphing calculator that simplifies graphing equations in various forms compared to traditional graphing calculators.
- 🔢 Graphing equations on Desmos is straightforward; you can input equations directly without needing to solve for y, unlike some other graphing calculators.
- ➖ For inequalities, Desmos allows you to input them with the appropriate symbols and will shade the region satisfying the inequality.
- 🔄 Substitution can be tricky on Desmos; using sliders for variables can help find specific outputs from equations.
- 🔢 When substituting, avoid using x and y directly in functions; instead, use variables like a and b or x1 and y1 to avoid errors.
- 📈 Systems of equations can be graphed simultaneously on Desmos, making it easy to find their intersection points.
- 🔍 Finding roots or zeros (x-intercepts) on Desmos is done by setting the equation to zero and identifying the points where the graph crosses the x-axis.
- 📋 Desmos offers a table feature that can be used to input domains and find corresponding ranges for functions.
- 📉 Desmos is not just for graphing; it also allows for performing operations like finding cube roots and other complex calculations within the graphing interface.
- ⏱ The video is part of a series, with part two focusing on regression, indicating that Desmos has capabilities for statistical analysis as well.

### Q & A

### What are some Desmos graphing calculator tips for Algebra 1?

-The Desmos graphing calculator tips for Algebra 1 include graphing equations in any form, using sliders for variables, handling inequalities, and finding roots or zeros of functions.

### How does the Desmos graphing calculator handle graphing equations?

-Desmos allows you to graph equations in any form, which is more user-friendly than traditional graphing calculators that often require equations to be in function form.

### What is the difference between using Desmos for graphing and a traditional graphing calculator?

-Desmos is easier to use for graphing as it allows equations to be inputted in any form, whereas traditional calculators like TI require equations to be solved for y.

### How do you graph inequalities in Desmos?

-To graph inequalities in Desmos, you input the inequality as you would an equation, but use the appropriate inequality symbol (e.g., less than or equal to).

### What is a common issue when using Desmos for substitution problems?

-A common issue with substitution in Desmos is that using x and y directly can cause errors; it's often necessary to use variables like a and b or to specify x1, y1, etc., to avoid these errors.

### How can you find the value of an algebraic expression using Desmos?

-You can find the value of an algebraic expression in Desmos by using sliders for variables and then inputting the expression to see the output.

### What is the process for finding the roots or zeros of a function in Desmos?

-To find the roots or zeros of a function in Desmos, you input the function's equation and set y to zero, then Desmos will highlight the x-intercepts where the function crosses the x-axis.

### How do you handle systems of equations in Desmos?

-In Desmos, you graph both equations of the system and find the solution by looking at the point of intersection of the two lines.

### Why might Desmos give an error when trying to input a function in the form f(x)?

-Desmos might give an error when inputting a function in the form f(x) if it's expecting an equation to be graphed rather than a specific value. To resolve this, you can use x1, y1, or change the variable names.

### What is the purpose of using sliders in Desmos for algebra problems?

-Sliders in Desmos allow you to easily adjust the values of variables and see the resulting changes in the algebraic expressions or graphs, which is helpful for exploring and solving problems interactively.

### Outlines

### 📈 Desmos Graphing Calculator Tips for Algebra 1

This paragraph introduces a video tutorial focused on Desmos graphing calculator tips tailored for Algebra 1, aligning with the Virginia State Standards of Learning. The narrator discusses various topics such as graphing equations, substitution, systems of equations, inequalities, finding zeroes, roots, and x-intercepts. It also mentions a follow-up video on regression due to time constraints. The Desmos graphing calculator is praised for its ease of use compared to traditional graphing calculators, especially for graphing equations in any form without needing to solve for y. The tutorial also guides viewers on how to access the Desmos calculator, particularly for students who might be using it for standardized testing.

### 🔢 Advanced Desmos Features for Algebraic Expressions

The second paragraph delves into more advanced features of Desmos for algebraic expressions. It covers how to input complex equations, including cube roots and sliders for variables, to dynamically see the results of algebraic manipulations. The narrator demonstrates how to use the nth root function to input cube roots and how to use sliders to adjust variable values and observe the output. The paragraph also addresses a common issue with Desmos when using x and y variables directly, suggesting workarounds such as using subscripts or changing variable names. The tutorial shows how to input specific function values, like f(-8), and how to handle multiple outputs, such as finding a range from a given domain using tables.

### 🧩 Solving Systems and Finding Roots with Desmos

The final paragraph covers solving systems of equations and finding roots or x-intercepts using Desmos. It explains that systems of equations can be solved graphically by finding the intersection points of two equations. The tutorial also touches on how to approach word problems that require setting up equations before solving them. Lastly, it demonstrates how to find roots or x-intercepts by setting y or f(x) to zero and using Desmos to identify the points where the equation equals zero. The narrator provides a brief preview of an upcoming video part two, which will focus on regression techniques.

### Mindmap

### Keywords

### 💡Graphing Equations

### 💡Substitution

### 💡Systems of Equations

### 💡Inequalities

### 💡X-intercepts

### 💡Desmos Graphing Calculator

### 💡Virginia State Standards of Learning

### 💡Regression

### 💡Function Form

### 💡Sliders

### Highlights

Desmos graphing calculator is easier to use than traditional graphing calculators for algebra 1 students.

Desmos allows graphing equations in any form, not just function form.

The video demonstrates how to access and use the Desmos graphing calculator for Virginia State Standards of Learning.

Graphing equations on Desmos is as simple as typing them in.

Desmos differentiates between a negative sign and a subtraction sign.

Inequality graphs on Desmos require an extra step for the less than or equal to symbol.

Desmos provides a visual toggle to turn graphs on and off.

Substitution can be tricky in Desmos, especially when using x and y variables.

Desmos offers sliders for algebraic expressions to see the value changes dynamically.

The video explains how to correctly input cube roots and other functions in Desmos.

Desmos can handle function form equations and provide outputs for specific inputs.

Systems of equations on Desmos are solved by graphing both equations and finding their intersection.

Desmos can graph roots or zeros of a function by setting y or f(x) to zero.

The video will have a part 2 focusing on regression for more advanced topics.

Desmos is a powerful tool for algebra 1 students, especially for graphing and solving equations.