MAT-144 · Mathematical Reasoning Video Library
ORBITAL Mini Lessons

Every video, cross-referenced with every lesson.

Short evergreen explanations — about three minutes each — that sit alongside the mini lessons and pack the same math tighter. Filter by topic or by pack, or search across every title. Missing videos are on the way; the catalog shape shows what’s coming.

55 available now · 18 uploading soon · 73 videos total in the library
Topic
Pack
73 shown
What, Exactly, Is a Function? — YouTube thumbnail 3:27
T1 Companion · L1

What, Exactly, Is a Function?

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The Two Ways Humans Reason — YouTube thumbnail 3:09
T1 Companion · L2

The Two Ways Humans Reason

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Close Enough Is a Superpower — YouTube thumbnail 3:13
T1 Companion · L3

Close Enough Is a Superpower

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Slope Is Just "How Fast" — YouTube thumbnail 3:01
T1 Companion · L4

Slope Is Just "How Fast"

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One Equation. Predict the Future. — YouTube thumbnail 3:02
T1 Companion · L5

One Equation. Predict the Future.

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A Spreadsheet Is a Grid of Functions — YouTube thumbnail 3:18
T1 Companion · L6

A Spreadsheet Is a Grid of Functions

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Percent Just Means "Out of 100" — YouTube thumbnail 2:25
T2 Companion · L1

Percent Just Means "Out of 100"

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One Number, Three Disguises — YouTube thumbnail 2:59
T2 Companion · L2

One Number, Three Disguises

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Tip, Tax, Discount: One Move — YouTube thumbnail 3:41
T2 Companion · L3

Tip, Tax, Discount: One Move

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Multiply by 1, Convert Anything — YouTube thumbnail 3:14
T2 Companion · L4

Multiply by 1, Convert Anything

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60 mph Is How Many Feet per Second? — YouTube thumbnail 3:22
T2 Companion · L5

60 mph Is How Many Feet per Second?

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Tell Your Money Where to Go — YouTube thumbnail 2:52
T2 Companion · L6

Tell Your Money Where to Go

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What Is Interest? It's Rent on Money — YouTube thumbnail 3:14
T3 Companion · L1

What Is Interest? It's Rent on Money

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Simple Interest Explained: I = Prt in One Multiply — YouTube thumbnail 3:07
T3 Companion · L2

Simple Interest Explained: I = Prt in One Multiply

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Compound Interest Explained: Interest That Earns Interest — YouTube thumbnail 3:47
T3 Companion · L3

Compound Interest Explained: Interest That Earns Interest

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APR vs APY Explained: The Rate You Actually Earn — YouTube thumbnail 3:50
T3 Companion · L4

APR vs APY Explained: The Rate You Actually Earn

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What Is an Annuity? Many Payments, One Formula — YouTube thumbnail 3:44
T3 Companion · L5

What Is an Annuity? Many Payments, One Formula

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Future Value of an Annuity: $200 a Month Becomes $244,000 — YouTube thumbnail 4:00
T3 Companion · L6

Future Value of an Annuity: $200 a Month Becomes $244,000

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What Is Amortization? Where Loan Payments Actually Go — YouTube thumbnail
T4 Companion · L1

What Is Amortization? Where Loan Payments Actually Go

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How to Calculate a Loan Payment (Monthly Payment Formula) — YouTube thumbnail
T4 Companion · L2

How to Calculate a Loan Payment (Monthly Payment Formula)

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How Car Loans Work: Monthly Payment and Total Interest — YouTube thumbnail
T4 Companion · L3

How Car Loans Work: Monthly Payment and Total Interest

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Credit Card Minimum Payments: Why You Stay in Debt — YouTube thumbnail
T4 Companion · L4

Credit Card Minimum Payments: Why You Stay in Debt

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Subsidized vs Unsubsidized Student Loans: The Difference — YouTube thumbnail
T4 Companion · L5

Subsidized vs Unsubsidized Student Loans: The Difference

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How Mortgage Payments Work: Interest vs Principal — YouTube thumbnail
T4 Companion · L6

How Mortgage Payments Work: Interest vs Principal

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Topic 5 Lesson 1 · Mini Lesson

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Topic 5 Lesson 6 · Mini Lesson

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Topic 6 Lesson 1 · Mini Lesson

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Topic 7 Lesson 1 · Mini Lesson

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What Is the y-Intercept, Really? — YouTube thumbnail 2:57
T1 Lines

What Is the y-Intercept, Really?

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y = mx + b Is a Machine — YouTube thumbnail 2:51
T1 Lines

y = mx + b Is a Machine

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The Point-Slope Formula, Explained — YouTube thumbnail 3:24
T1 Lines

The Point-Slope Formula, Explained

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Parallel and Perpendicular, in One Picture — YouTube thumbnail 3:25
T1 Lines

Parallel and Perpendicular, in One Picture

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Two Points Define a Line — YouTube thumbnail 3:20
T1 Lines

Two Points Define a Line

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f(x) Is Not f Times x — YouTube thumbnail 3:44
T1 Functions

f(x) Is Not f Times x

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Domain and Range, in Plain English — YouTube thumbnail 3:34
T1 Functions

Domain and Range, in Plain English

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The Vertical Line Test, Explained — YouTube thumbnail 3:14
T1 Functions

The Vertical Line Test, Explained

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Find f(3) With No Formula — YouTube thumbnail 3:20
T1 Functions

Find f(3) With No Formula

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Where Two Lines Meet — YouTube thumbnail 3:08
T1 T2 Edge Cases

Where Two Lines Meet

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Slope Zero vs Slope Undefined — YouTube thumbnail 4:04
T1 Edge Cases

Slope Zero vs Slope Undefined

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Negative Slope Isn't Bad — YouTube thumbnail 2:45
T1 Edge Cases

Negative Slope Isn't Bad

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Ax + By = C, Decoded — YouTube thumbnail 2:52
T1 Edge Cases

Ax + By = C, Decoded

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Percent vs Percentage Points (4% to 6% Is Up 50%) — YouTube thumbnail 3:20
T2 Percent Traps

Percent vs Percentage Points (4% to 6% Is Up 50%)

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Stacking Discounts: Why 50% Off Twice Isn't Free — YouTube thumbnail 3:55
T2 Percent Traps

Stacking Discounts: Why 50% Off Twice Isn't Free

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Percent Change Trap: Up 50% Then Down 50% Is a Loss — YouTube thumbnail 3:32
T2 Percent Traps

Percent Change Trap: Up 50% Then Down 50% Is a Loss

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How to Find the Original Price Before Tax or Discount — YouTube thumbnail 3:33
T2 Percent Traps

How to Find the Original Price Before Tax or Discount

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How to Add Measurements With Different Units — YouTube thumbnail 3:02
T2 Conversion Extras

How to Add Measurements With Different Units

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How to Convert Square Units: Square Yards to Square Feet — YouTube thumbnail 3:34
T2 Conversion Extras

How to Convert Square Units: Square Yards to Square Feet

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How to Convert Fahrenheit to Celsius (and Why It's Weird) — YouTube thumbnail 3:48
T2 Conversion Extras

How to Convert Fahrenheit to Celsius (and Why It's Weird)

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Cross Multiplication Explained: Why It Actually Works — YouTube thumbnail 3:25
T2 Foundations Extras

Cross Multiplication Explained: Why It Actually Works

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30 Is 20% of What Number? (Find the Whole) — YouTube thumbnail 3:56
T2 Foundations Extras

30 Is 20% of What Number? (Find the Whole)

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How Exchange Rates Work: Convert Dollars to Euros — YouTube thumbnail 3:23
T2 Foundations Extras

How Exchange Rates Work: Convert Dollars to Euros

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Real Rate of Return Explained: Interest vs Inflation — YouTube thumbnail 3:48
T3 Foundations Extras

Real Rate of Return Explained: Interest vs Inflation

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How to Calculate Percent Change (Inflation Example) — YouTube thumbnail 3:53
T2 T3 Foundations Extras

How to Calculate Percent Change (Inflation Example)

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The Rule of 72 Explained: How Long to Double Your Money — YouTube thumbnail 3:28
T3 Compound Interest Extras

The Rule of 72 Explained: How Long to Double Your Money

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Compound Interest: Continuous Compounding Explained — YouTube thumbnail 3:40
T3 Compound Interest Extras

Compound Interest: Continuous Compounding Explained

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Compound Interest: Finding Interest Earned Between Two Years — YouTube thumbnail 3:46
T3 Compound Interest Extras

Compound Interest: Finding Interest Earned Between Two Years

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Present Value Explained: What Future Money Is Worth Today — YouTube thumbnail 3:52
T3 Future Value Extras

Present Value Explained: What Future Money Is Worth Today

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Compound Interest: Saving at 25 vs 35 Compared — YouTube thumbnail 3:52
T3 Future Value Extras

Compound Interest: Saving at 25 vs 35 Compared

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Sinking Funds Explained: How Much to Save per Month — YouTube thumbnail 3:43
T3 Future Value Extras

Sinking Funds Explained: How Much to Save per Month

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