HippoCampus
MathematicsSpiralBeginner15 chapters

Rebuilding high-school algebra as an adult

HippoCampus
· starter course
I haven't done math since high school and want to rebuild algebra properly: fractions, equations, functions, graphs and word problems, starting simple and coming back deeper each round.

What you'll learn

15 chapters
  1. 1

    Starting Algebra Again: What It Is and How It Fits Together

    • Recognize algebra as a way of describing patterns and relationships with numbers and symbols.
    • Understand how algebra grows out of arithmetic.
    • See the major parts of the course before studying them in depth.
  2. 2

    Number Foundations: Whole Numbers, Integers, and Place Value

    • Refresh the basic number system used in algebra.
    • Identify different kinds of numbers commonly used in early algebra.
    • Reconnect place value and signed numbers to later algebra work.
  3. 3

    Operations and Order: Adding, Subtracting, Multiplying, Dividing

    • Review the four basic operations as the engine behind algebraic manipulation.
    • Understand the order of operations at an overview level.
    • Connect arithmetic operations to later work with expressions and equations.
  4. 4

    Fractions, Decimals, Percents, and Ratios

    • Reconnect common non-whole-number forms used throughout algebra.
    • Recognize that fractions, decimals, and percents can represent the same value.
    • See ratios as a foundation for proportional thinking.
  5. 5

    Powers, Roots, and Basic Number Properties

    • Identify exponents and roots as compact ways to write repeated operations.
    • Recognize key number properties that support algebraic reasoning.
    • Prepare for later simplification work without focusing on technical rules yet.
  6. 6

    From Numbers to Symbols: Variables and Algebraic Expressions

    • Understand variables as placeholders or changing quantities.
    • Read and interpret simple algebraic expressions.
    • Recognize the parts of an expression without yet doing complex simplification.
  7. 7

    Simplifying Expressions and Using Algebra Rules

    • See how expressions can be rewritten in simpler or clearer forms.
    • Recognize like terms and basic use of the distributive property.
    • Build an overview of what simplification means in algebra.
  8. 8

    Equations: Equality, Balance, and Solving for a Value

    • Understand an equation as a statement that two expressions are equal.
    • Use the idea of balance to understand solving.
    • Survey simple one-step and multi-step equation solving at a gentle level.
  9. 9

    Inequalities: Comparing Quantities Algebraically

    • Recognize inequalities as comparisons instead of exact equalities.
    • Interpret common inequality symbols.
    • Connect inequalities to number lines and real-life limits.
  10. 10

    Coordinates and Graphs: Showing Algebra Visually

    • Recognize the coordinate plane as a visual tool for algebra.
    • Identify points using ordered pairs.
    • See graphs as pictures of numerical relationships.
  11. 11

    Patterns, Rules, and Functions

    • Understand a function as a rule that matches inputs to outputs.
    • Connect patterns in tables to algebraic rules.
    • See functions as a central idea linking expressions, equations, and graphs.
  12. 12

    Linear Relationships: Straight Lines and Constant Change

    • Recognize linear relationships as one of the main early function types.
    • Understand that straight-line graphs represent constant rate of change.
    • Preview slope and intercept as key ideas for later passes.
  13. 13

    Nonlinear Relationships: Curves, Growth, and Other Patterns

    • Notice that not all algebraic relationships are linear.
    • Identify broad differences between straight-line and curved graphs.
    • Preview common nonlinear ideas learners will revisit later.
  14. 14

    Word Problems and Mathematical Modeling

    • Translate everyday situations into algebraic language.
    • Identify quantities, relationships, and unknowns in simple contexts.
    • See algebra as a tool for modeling real situations.
  15. 15

    Pulling It Together: Algebra as a Connected System

    • Review how numbers, expressions, equations, functions, graphs, and word problems connect.
    • Build a clear mental map for later, deeper passes.
    • End the first pass with confidence about the overall shape of algebra.

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