Tips, guides, and stories about learning math the right way
Find the area of a triangle with A = (1/2)bh. See the formula worked step by step, plus a right-triangle example and common mistakes to avoid.
Algebra 2Factor ax² + bx + c when a ≠ 1 using the AC method: split the middle term, group, and pull out common factors. Two full worked examples.
Algebra 1The discriminant of ax² + bx + c = 0 is b² − 4ac. Plug in a, b, c, simplify, and read off how many real solutions the equation has.
GeometryFind the hypotenuse using c = √(a² + b²). For legs 3 and 4, the hypotenuse is 5. See two worked examples and the exact steps.
Algebra 1Find the slope between two points using m = (y₂ − y₁)/(x₂ − x₁). Step-by-step method, two worked examples, and common mistakes to avoid.
Algebra 2Find the vertex of a parabola using x = -b/(2a) or by completing the square. Two fully worked examples with steps for standard and vertex form.
PrealgebraLearn how to add and subtract fractions by finding a common denominator, converting, then combining numerators. Two fully worked examples.
Algebra 2Learn how to complete the square in algebra 2. Convert x² + bx + c into (x + b/2)² form with two fully worked examples and clear steps.
Algebra 2Learn how to factor quadratic equations like x² + 5x + 6 = 0 using the AC method. Step-by-step worked examples and common mistakes explained.
SAT PrepCompute the SAT discriminant b² − 4ac and use its sign to count real solutions. Two SAT-style worked examples, the three cases, and Desmos shortcut.
SAT PrepFind the vertex of an SAT parabola using x = -b/(2a) or vertex form (h, k). Two SAT-style worked examples, the method, and Desmos traps to avoid.
Algebra 1Graph any linear equation by plotting the y-intercept, using the slope for a second point, and drawing the line. Two worked examples inside.
SAT PrepStruggling with SAT Math prep? Learn proven strategies from someone who moved from Ireland with zero prep. Includes study plans, common mistakes & AI solutions.
Algebra 1Solve any linear equation in three steps: simplify, isolate the variable term, then divide by its coefficient. Two full worked examples inside.
Algebra 1Learn how to solve two-step equations with fractions by clearing denominators with the LCD, then isolating the variable. Worked examples included.
Algebra 1Learn how to solve two-step equations by undoing addition or subtraction first, then multiplication or division. Two fully worked examples included.
For ParentsThe behavioral signs your kid is using ChatGPT to do their homework, what to look for in their work, and a short conversation to have tonight.
Algebra 2Learn how to use the quadratic formula x = (-b ± √(b² - 4ac)) / 2a to solve any quadratic equation, with two fully worked examples.
For ParentsThe three real reasons a student aces homework and bombs tests, how to figure out which one is happening in your house, and what to do about it tonight.
PrealgebraOrder of operations means: Parentheses, Exponents, Multiplication/Division, Addition/Subtraction. See PEMDAS worked step by step with examples.
Founder StoryFrom Ireland to California with no SAT prep. From precalculus without prerequisites to building an AI tutor. The honest story behind Lernos.
GeometryThe Pythagorean Theorem says a² + b² = c² for right triangles. See two fully worked examples, the method, and common mistakes to avoid.
SAT PrepSolve SAT quadratic-formula problems with x = (-b ± √(b² - 4ac))/(2a). Two SAT-style worked examples, when to use it vs factoring, and Desmos tips.
SAT PrepSolve SAT right-triangle trig with SOHCAHTOA: sin = opp/hyp, cos = adj/hyp, tan = opp/adj. Two worked examples, cofunction identity, and Desmos tips.
For ParentsThe observable signs your kid is falling behind in math, what to notice at the kitchen table this week, and how to spot a foundational gap before the grade drops.
Algebra 1Learn how to solve equations with variables on both sides: move variables to one side, constants to the other, then divide. Two worked examples included.
Algebra 1Solve a system of equations by substitution: isolate one variable, plug it into the other equation, solve, and back-substitute. Full worked examples.
Algebra 1Turn word problems into two equations, solve by substitution or elimination, and check. Full worked examples with numbers included.
EducationIs your child struggling with math homework every night? Learn why the education system fails students and how AI tutoring builds genuine understanding.