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Courses

Teacher-curated, self-paced courses. Looking for a guided sequence through a full topic? See Learning Paths.

All CoursesLearning Paths
3 courses
The Argand Plane and Quadratic Equations
Mathematics · High School (11–12) · Complex Numbers, Quadratic Equations
FreeCh 3 · 2/3

Picture complex numbers as points, find their modulus and conjugate and what they mean on the plane, then solve quadratic equations with a negative discriminant and find square roots of complex numbers.

3Lessons12Problems2Python Labs1Question Set1Mock Test
StemPy LabStemPy Lab
Solving Quadratic Equations by Factorising
Mathematics · High School (9–10), General · Quadratic Equations
FreeCh 4 · 1/3

Spot a quadratic equation, write a word problem as one, and solve it by splitting the middle term. Then check each root, and decide which roots make sense for the problem.

3Lessons11Problems2Python Labs1Question Set1Mock Test
StemPy LabStemPy Lab
The Quadratic Formula and the Nature of Roots
Mathematics · High School (9–10), General · Quadratic Equations
FreeCh 4 · 2/3

Complete the square, and turn it into the quadratic formula that solves every quadratic equation. Then read the discriminant to know, before solving, whether there are two roots, one or none.

3Lessons11Problems2Python Labs1Question Set1Mock Test
StemPy LabStemPy Lab
Quadratic Equations: Challenge Problems
Mathematics · High School (9–10) · Quadratic Equations
StandardFirst lesson freeExtra course

Harder problems for the keen: equations that turn into quadratics, the sum and the product of the roots, and the greatest or least value of a quadratic, each with worked solutions and a timed paper.

3Lessons11Problems2Python Labs1Question Set1Mock Test
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