The Ultimate Desmos Guide to Digital SAT Math

This video is an introduction to using Desmos for those with very limited familiarity. It talks about basic Desmos settings including general settings, graphing, copy/paste, tables, various shortcuts, highlighted/clickable points and other basic features.

0:00 Introduction

1:17 Desmos in the Bluebook App

3:42 Graph Settings

5:13 Graphing, Undo, Redo, Create Table (Blank), Delete All, Create Table (Automatic), Copy/Paste

8:40 Keyboard/Functions

10:01 Fraction Shortcut

11:09 Roots and Radicals

12:29 Graphing, Highlighted/Clickable Points (Intercepts, Max/Min Points), Turn Graphs On/Off, Tracing Along Graphs

17:25 Unclickable Points

Here you can find the latest version of the Desmos Calculator Guides, both the full version and 2-page cheat sheet version, and the Desmos Practice Problems & answers.

This video covers the Core Desmos operations such as fractions, percentages, sliders, mean/median/standard deviation, solving equations & systems of equations, linear regression, evaluating functions, shifting/translating functions, and much more.

0:00 Intro

0:25 Background Info

2:06 Fractions, Decimals, Mixed Numbers

4:03 Percentages

5:13 Defining Exact Values

9:53 Sliders

11:52 Distance Formula

13:35 Midpoint Formula

14:36 Mean & Median

16:26 Standard Deviation

18:45 Identifying the # of Solutions to a Linear Equation

18:54 Example Problem 1

24:49  Solve System of Equations/Identify # of Solutions to System of Equations

25:40 Example Problem 2

26:19 Example Problem 3

27:33 Table of Values & Point(s) as Solution to Graph, Inequality, System of Inequalities

28:20 Example Problem 4

30:23 Example Problem 5

31:23 Example Problem 6

32:55 Linear Regression

36:44 Example Problem 7

38:53 Example Problem 8

40:04 Example Problem 9

42:29 Example Problem 10

45:20 Evaluating Functions or a Combination of Functions

49:33 Example Problem 11

50:13 Example Problem 12

51:00 Example Problem 13

52:20 Find the X Value of a Function for a Given Y Value

52:48 Example Problem 14

53:47 Solving Equations (Linear, Absolute Value, Radical, Rational, Quadratic)

1:04:45 Example Problem 15

1:05:38 Example Problem 16

1:06:50 Example Problem 17

1:07:42 Example Problem 18

1:08:48 Example Problem 19

1:09:24 Example Problem 20

1:10:35 Example Problem 21 

1:11:29 Translating/Shifting Graphs

1:12:54 Example Problem 22

1:14:33 Example Problem 23

1:19:10 Example Problem 24

1:21:55 Example Problem 25

This video covers the Intermediate Desmos operations such as finding the radius & center of a circle, quadratic regression, factoring polynomials (basic), finding the mean of a data set given in a frequency table, matching equivalent expressions, and more.

0:00 Introduction

1:40 Find Radius & Center of a Circle

2:43 Example Problem 26

6:18 Find Mean of a Data Set From a Frequency Table

7:58 Example Problem 27

10:03 Quadratic Function Regression

14:15 Example Problem 28

17:19 Example Problem 29

19:52 Identify # of Real Solutions to Quadratic Equation

20:55 Example Problem 30

21:58 Factoring Polynomials (Basic)

22:23 Example Problem 31

24:01 Identifying Equivalent Expressions

25:36 Example Problem 32

27:18 Example Problem 33

28:56 Example Problem 34

This video covers the Advanced Desmos operations (Part 1) such as solving formulas, using regression to find the value of a constant to match expressions, regression on non-linear functions & circles, and solving systems of equations using regression.

0:00 Solving Formulas

3:04 Example Problem 35

5:12 Example Problem 36

7:01 Find the Value of Constant(s) to Match Expressions Using Regression

9:50 Example Problem 37

12:53 Example Problem 38

14:26 Regression of Other Functions (Exponential, Rational, Radical)

15:57 Example Problem 39

17:48 Example Problem 40

20:45 Example Problem 41

21: 54 Regression of Circles

25:46 Example Problem 42

28:35 Solving Systems of Equations Using Regression

31:24 Example Problem 43

This video covers the Advanced Desmos operations (Part 2) such as finding the value of a constant in a quadratic equation or solution, linear regression using lists, and solving advanced percentage problems using regression.

0:00 Find Value of a Constant in Quadratic Solution or Equation

4:40 Example Problem 44

6:09 Example Problem 45

7:58 Example Problem 46

9:31 Linear Regression with Lists

10:47 Example Problem 47

12:12 Solving Advanced Percentage Problems – Method 1

13:40 Example Problem 48 – Method 1

15:05 Example Problem 49 – Method 1

16:57 Solving Advanced Percentage Problems – Method 2

13:40 Example Problem 48 – Method 2

15:05 Example Problem 49 – Method 2

This video covers the Advanced Desmos operations (Part 3) including the various methods used to find the value of a constant in a system of linear equations: Ratio Method, SI Form Method, = 0 Method, and No Constants Method).

0:00 Introduction

0:57 Ratio Method

3:05 SI Form Method

5:00 = 0 Method

6:05 No Constants Method

8:23 Example Problem Demonstrated with All Four Methods

23:10 Brief Summary & Comparison of The Four Methods

27:19 Example Problem 50

30:26 Example Problem 51

31:54 Example Problem 52

33:35 Example Problem 53

35:47 Example Problem 54

This video covers the Advanced Desmos operations (Part 4) such as finding the value of a constant for a quadratic equation to have no/one/two real solutions and finding the value of a constant for a quadratic & linear function to intersect once.

0:00 Find Value of Constant for No/One/Two Real Solutions Intro

1:01 Vertex Method

2:30 Derivative Method

4:45 Example Problem 55

8:29 Example Problem 56

10:45 Example Problem 57

13:43 Example Problem 58

16:23 Example Problem 59

21:35 Find Value of Constant for Quadratic & Linear to Intersect Once

24:52 Example Problem 60

30:11 Example Problem 61

This video covers an alternate approach to type/use the derivative method to find the value of a constant in a quadratic equation with a constant or intersection of quadratic & linear function problem at one point. This approach could be easier to remember and faster to type into Desmos.

0:00 Intro

0:46 Way to Re-write the Derivative Method in Desmos

3:22 Example Problem 60

This video talks about the advantages & disadvantages of using a slider approach vs using the derivative method to find the value of a constant in a quadratic equation with a constant and demonstrates this on an example problem, which is not featured in the main practice problem set.

This video covers the Advanced Desmos operations (Part 5) such as how to find two solutions to an equation solved using regression, how to identify factors of an expression, and how to factor expressions.

0:00 Solve an Equation Using Regression and Return 2 Answers

2:43 Example Problems 62

4:30 Example Problems 63

5:30 Additional Examples

9:16 Find if an Expression is a Factor of Another Expression

11:06 Example Problem 64

13:20 August 2025 Worksheet #3 Problem #10

18:48 Example Problem 65

21:58 Factoring Quadratics & Other Polynomials/Find Values of Constants

29:04 Example Problem 66

32:00 Example Problem 67

35:51 Example Problem 68

39:45 Example Problem 69

This video shows an alternate technique that can be used to factor higher order polynomials that do not have any real zeroes/x-intercepts by converting them to quadratics temporarily.

This video talks about using constraints when using regression to solve an equation with more than one solution and how to differentiate the answers.

This video covers the Advanced Desmos operations (Part 6) such as solving an equation with a constant, finding the value of a constant in a sum/product of roots problem, using sliders in a table of values, and using regression on specific points.

0:00 Solving a Single Equation with a Constant Intro

0:44 Regression Method

2:05 Graphing Method

3:10 Example Problem 70

5:54 Example Problem 71

11:27 Find Value of Constant in Sum/Product of Roots Problem Intro

11:40 Factor Method

14:40 List Method

17:19 Example Problem 72

22:38 Example Problem 73

26:20 Example Problem 74

29:10 Using Sliders in a Table of Values for Regression

30:20 Example Problem 75

34:01 Example Problem 76

35:57 Run a Regression on Specific Point Values

37:13 Example Problem 77

This video covers the Advanced Desmos operations (Part 7) such as the stats function and how to enter a frequency table into Desmos using the repeat function.

0:00 Stats Function

1:36 Example Problem 78

3:05 Example Problem 79

6:02 Example Problem 80

8:20 Repeat Function for Frequency Table

9:43 Example Problem 81

11:10 Example Problem 82

12:40 Example Problem 83