Blog
Short notes will be listed here. For a formula and a figure you can drag, open the math handbook.
- How to Find the Y-Intercept: From an Equation, a Graph, and a Table
Find the y-intercept three ways — set x=0 in the equation, read where the graph crosses the y-axis, or use the x=0 row of a table. Drag a live line to check.
- Absolute Value Functions: Graph the V on a Live Board
Absolute value functions graph as a V. Start from y=|x|, then build y=a|x−h|+k — stretch, shift, or flip with live sliders on the board.
- Function Transformations: Shift, Stretch & Reflect Explained
Function transformations take a parent y=f(x) to y=a f(x−h)+k — stretch or reflect with a, shift with h and k. Drag live sliders; see worked examples.
- Equation of a Circle: Formula, Center & Radius Explained
The equation of a circle is (x−h)²+(y−k)²=r² — every point at distance r from center (h,k). See the formula, worked examples, and a live board you can drag.
- What Is a Sine Wave? See y=sin x on a Live Board
A sine wave is the graph of y=sin x — one repeating oscillation. See zeros, peaks, and one full period on a live board, then connect it to the unit circle.
- Congruent Triangles Explained
Congruent triangles match in shape and size. Learn SSS, SAS, ASA, AAS, and HL, see why SSA fails, and drag a live SAS figure to check corresponding parts.
- How to Graph a Function
A graph of a function is the set of points (x, f(x)). Plot a few pairs for y=2x+1, see them sit on one curve, then drag the live board to check.
- Alternate Interior Angles Explained
Alternate interior angles sit between two lines, on opposite sides of a transversal. On parallel lines the pair is equal. Drag the figure and watch them match.
- Say the construction and get a draggable figure
Describe a triangle or a circle in ordinary English and get a draggable figure. Drag a point and what depends on it updates.
- Describe a math problem and get an interactive graph?
Describe a math problem in ordinary English and get an interactive graph on a live board. Drag a point, then say the next change.
- How to use Desmos to graph a function with a slider?
Open the Desmos graphing calculator, type y=x^2, then y=a(x-h)^2+k so a, h, and k become sliders. Drag them. Add a point and see if it sits on the curve.
- Can one problem become a live figure for class?
Turn one math problem into a live figure for class. The path, the highest point, and the landing sit on a board you can drag while the explanation is open.
- Good math, made visible.
GoodMaith is an AI math tutor with a live board: every beat of the chat builds an object you can drag. The answer was never the problem.
Questions
- Is this the same as the math handbook?
- The math handbook holds formulas and figures you can drag. This page lists shorter notes, and a note can point back to one of those figures.
- Do I need an account to read?
- No. The blog stays open without an account, the same way the handbook does. Sign in when you want to send a chat.