Subjects

A base converter that shows its working. Type a value in any of the four bases and the other three follow, with the arithmetic written out underneath.

• Base converterOne input, four live readouts, and every step of the conversion written out.
• Pattern tableOne to fifteen as place-value columns, so the doubling is visible.
• HistoryEvery value you settle on, kept and re-converted on demand.

The rules, the method, and a worked solution for every kind of problem in the class notes. Each solution names the pattern first and the move second, so the working reads as a list of decisions rather than a wall of algebra.

• Integer ExponentsThe nine laws, negative exponents, and how to leave an answer positive.
• Rational ExponentsA fraction in the exponent is a root. Which part to do first, and when it is undefined.
• RadicalsSimplifying, multiplying and rationalizing — and why the variables are assumed positive.
• FactoringEvery pattern, in the order you should try them — GCF, squares, cubes, grouping, trinomials.
• Scientific calculatorExact answers where they exist, and it shows how it read the expression.

The groundwork first: lines, functions, and reading a graph off its rule. Same shape as the algebra shelf — the rules, the order to apply them in, then a worked solution for every kind of problem — with a grapher to check a sketch against.

• LinesSlope, the three forms, and which one to reach for when.
• FunctionsNotation, domain and range, combining and composing, piecewise rules, and the difference quotient.
• GraphsIntercepts, symmetry, the parent shapes, asymptotes, and sketching a curve from its equation.
• LimitsWhat a function heads towards — the techniques in order, and how to read an infinite one.
• DerivativesFrom first principles to the product and quotient rules, and what the answer means.
• The Chain RuleDifferentiating something inside something else — spotting the layers, then peeling them.
• Graphing calculatorFour functions on one set of axes, with pan, zoom and a value readout.