๐ŸŽฌ Desmos Lessons

Use Desmos like a pro

The Digital SAT lets you use the embedded Desmos calculator on every math question. These short lessons walk through the time-savers that show up most on test day โ€” one scenario at a time, with a real walkthrough and a quick try at the end. Adapted from DSAT 5-Day Final Review ยท Day 1 Desmos (Daniel Kim).

Algebra

5 core + 1 bonus
Algebra ยท Available

Slope from a table

Three points โ†’ table โ†’ yโ‚ ~ m xโ‚ + b. Regression gives the slope and intercept in one move.

5 steps~5 minAudio narration
Algebra ยท Available

Perpendicular lines

Flip the fraction, switch the sign. Type both lines in Desmos to verify the 90ยฐ angle visually.

4 steps~4 minAudio narration
Algebra ยท Available

Systems of equations

Type both equations, click the intersection. Desmos hands you the (x, y) solution โ€” no substitution, no elimination.

3 steps~4 minAudio narration
Algebra ยท Available

Linear inequalities

Type the inequality with โ‰ค or โ‰ฅ. Desmos shades the feasible region โ€” solid line for equality, dashed for strict.

3 steps~4 minAudio narration
Algebra ยท Available

Linear intercepts from 3 points

Table โ†’ regression โ†’ click the line. Desmos labels both x- and y-intercepts so you can add them.

3 steps~5 minAudio narration
Algebra ยท Bonus ยท Available

Systems by regression (data tables)

When the problem gives you points, not equations: two tables โ†’ two regressions โ†’ click the intersection. Same problem type, faster path when you don't have the equations in hand.

4 steps~6 minAudio narration

Advanced Math

6 of 6 available ยท complete
Adv. Math ยท Available

Absolute-value equations

Type the equation as-is. Desmos plots both solutions as vertical lines โ€” no case-split needed.

2 steps~4 minAudio narration
Adv. Math ยท Available

Quadratic regression

Three points โ†’ yโ‚ ~ a xโ‚ยฒ + b xโ‚ + c โ†’ all three coefficients in one move.

2 steps~4 minAudio narration
Adv. Math ยท Available

Exponential regression

Same pattern, exponential form: yโ‚ ~ a ยท b^xโ‚ finds amplitude and base.

2 steps~4 minAudio narration
Adv. Math ยท Available

Non-linear intersection

Vector regression [f(xโ‚)] ~ [g(xโ‚)] finds where two functions meet.

2 steps~4 minAudio narration
Adv. Math ยท Available

Cubic factoring ยท sum of roots

Plot the cubic, click each x-intercept. Desmos labels every root.

2 steps~4 minAudio narration
Adv. Math ยท Available

Non-linear systems

Plot both equations, click each intersection โ€” Desmos labels (x, y) for each.

2 steps~4 minAudio narration

Problem-Solving & Data Analysis

2 of 3 available
PSDA ยท Available

Scatter plot ยท best-fit line

Real data table โ†’ linear regression โ†’ slope, intercept, and RMSE in one move.

2 steps~4 minAudio narration
PSDA ยท Available

Mean & median

Wrap the list in brackets, call mean(l) and median(l) โ€” Desmos returns exact values.

2 steps~3 minAudio narration
PSDA ยท Coming soon

Box plot & quartiles

Visualize spread with boxplot(l) โ€” min, Q1, median, Q3, max at a glance.

Coming

Geometry & Trig

1 of 3 available
Geo & Trig ยท Available

Trig ยท radians and degrees

Toggle Desmos angle mode; evaluate sin / cos / tan exactly โ€” no unit-circle memorization.

2 steps~4 minAudio narration
Geo & Trig ยท Coming soon

Circle equations

Plot the circle, find center and radius visually. Complete the square in one move.

Coming