Algebra
Map
Arrows point from what you learn first to what it opens.
- Proven to level123
- Open
- Locked
- Comes back deeper
Learning path
In the order the concepts build on each other.
- VariablesLockedLetters that stand for numbers we don't know yet or that can change, letting us write one rule for many cases.Opens after: Integers
- FunctionsLockedA rule that takes each input to exactly one output, like f(x) = x². The central object of most of mathematics.Opens after: Variables
- Linear equationsLockedEquations like 2x + 3 = 11, where the unknown appears only to the first power. Solved by doing the same thing to both sides.Opens after: Variables
- Quadratic equationsLockedEquations like ax² + bx + c = 0. They can have two, one or no real solutions, found with factoring or the quadratic formula.Opens after: Linear equations
Connections to other domains
- Variables needs IntegersNumber Systems
- Functions leads to DerivativesCalculus
- Functions leads to SequencesCalculus
- Functions, level 2 needs LimitsCalculus
- Quadratic equations, level 2 needs Complex numbersNumber Systems
- Functions leads to Functions in codeProgramming
- Variables leads to Compound interestFinance