Algebra 1: Solving the World's Puzzles
Like Duolingo, but for Algebra 1: Solving the World's Puzzles. Tomo turns the whole topic into a game you play five minutes a day, until it actually sticks.
For the part of you with thirty open tabs that never became anything.
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Key ideas in Algebra 1: Solving the World's Puzzles
- Addition and subtraction are inverse operations
- Multiplication and division are inverse operations
- The last operation performed is the first one to be undone
- Inverse operations must be applied in the reverse order
- Working backward from a result requires the inverse operation
- Undoing is about the relationship between operations (e.g., + vs -)
- Multiplying the result by the divisor recovers the dividend
- Subtraction is the specific inverse of addition
- Mental subtraction of small integers
- Inverse operations must use the same quantity to cancel out
- Immediate recognition of addition's inverse
- Mixing different operations does not 'undo' the change
- The definition of an inverse
- The purpose of reversing mathematical steps
- Reversing a two-step process in the correct sequence
- The last step (subtracting 4) must be undone first (adding 4)
You've tried the other tabs
Thirty open tabs. Four facts you actually kept.
You watched. You nodded. By Sunday it was gone.
One answer, then back to scrolling.
Eight weeks. You meant to finish. You didn't.
Tomo gives Algebra 1: Solving the World's Puzzles the Duolingo treatment: levels, streaks, and quick quizzes that test what you just learned. That game loop is what the tabs above never had, so it's the one you actually finish.
Here's what playing it feels like
A real question from this course. Take your best guess.
You multiplied a number by 4. Which action would you take to 'undo' that and find your original value?
Get it right to open this lesson and 224 more in the app.
Where Algebra 1: Solving the World's Puzzles takes you
Stop guessing and start knowing. Learn how to use letters to find missing numbers and solve real-life problems with the power of equations.
- 1
Finding the Missing Piece
- Thinking in reverse to find a number
- Using letters as placeholders
- The golden rule of keeping things balanced
- Solving your first one-step equation
- 2
Handling More Complex Riddles
- Combining like terms to clean up a mess
- Solving problems with two or more steps
- What to do when the variable is on both sides
- Dealing with parentheses and distribution
- Spotting equations with no solution
- Handling equations where every number works
- 3
Drawing Pictures of Numbers
- Finding your way around the coordinate plane
- Plotting points to see a pattern
- Understanding the steepness of a line
- 4
Mastering the Straight Line
- The shortcut for graphing any line
- Writing an equation from just two points
- Parallel and perpendicular lines
- Using lines to predict the future
- Graphing absolute values and V-shapes
- 5
Solving for Two Things at Once
- Finding where two lines cross
- The substitution trick for solving pairs
- Adding and subtracting equations to eliminate variables
- Real-world problems with two unknowns
- 6
Working with Ranges and Limits
- Greater than and less than symbols
- Graphing inequalities on a number line
- Shading regions on a graph
- Solving double-sided inequalities
- Systems of inequalities and overlapping areas
- Absolute value inequalities
- 7
The Power of Exponents
- Rules for multiplying powers
- What happens with negative exponents
- Scientific notation for huge and tiny numbers
- 8
Breaking Down Big Expressions
- Naming polynomials by their size
- The FOIL method for multiplying
- Finding the greatest common factor
- Factoring simple trinomials
- Special patterns like difference of squares
- 9
The Curve of the Parabola
- Recognizing the U-shaped graph
- Solving by taking square roots
- Completing the square technique
- Using the famous Quadratic Formula
- 10
The Logic Underneath
- The history of the word Algebra
- Properties of real numbers explained
- Why you can't divide by zero
- The difference between relations and functions
- Domain and range: the input and output
10 sections · 45 units · 225 levels. Built to play, not to enroll.
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