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Quadratic Equations and Functions

399 resources created by 357 users

This Quadratic Equations and Functions page on GoConqr gathers community-made mind maps, quizzes, flashcards, notes and slides, from factorising and completing the square to the quadratic formula, the discriminant and parabolas. It's built for school students revising a topic and teachers after ready-made material. There are over 370 resources here, including more than 20 quizzes, over 260 mind maps and 50 flashcard decks, almost all at secondary level. Pick a mind map to get your bearings, then test yourself with a quiz.

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About Quadratic Equations and Functions

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What the resources cover

This unit is mostly mind maps, with quizzes, flashcard decks, notes, slides and a couple of flowcharts alongside them. Together they cover the main jobs you meet with quadratics: plotting graphs, factorising, completing the square, using the formula, and reading features from a parabola. Exams mentioned in the listed resources include GCSE Maths and A-level Maths.

Where to start

Begin with a overview map. The mind map called QUADRATICS sets out standard form, vertex form and factored form, and shows how to find zeros, the vertex and the axis of symmetry. The mind map C1 - Quadratic Functions follows a typical A-level route: plotting graphs, factorisation and completing the square.

A sensible order

  1. Read a Parabolas mind map to learn the focus, directrix, vertex and axis of symmetry.
  2. Work through Steps For Factoring Quadratic Expressions, which asks a series of yes and no questions to pick a method.
  3. Look at the flowchart on factorising quadratics with a coefficient of x^2 if the leading term is not 1.
  4. Move on to completing the square and the quadratic formula.
  5. Finish with the discriminant, which tells you what kind of roots to expect.

Using quizzes and maps together

Read a map, then take a quiz on the same idea. QUADRATIC FORMULA PRACTICE is a set of questions that all ask you to solve for x with the formula. Quizzes such as Graphs of Quadratic Functions and Parabolas suit the graphing side. If you get one wrong, go back to the matching map and read that branch again.

Flashcard decks such as Algebra 2 Checkpoint 4.4 - 4.6 mix square root questions, completing the square and the formula, which makes them handy for quick mixed practice. Notes and slides give worked explanations when a map feels too brief.

Where it fits

This unit sits in the Algebra strand of Mathematics. Its resources were made by GoConqr users, so styles and notation vary. Choose one that suits you, try a quiz, then make your own map or deck of the methods you find hardest.

Frequently asked questions

Which resource should I open first?

Start with the mind map called QUADRATICS. It lays out standard form, vertex form and factored form, and explains how to find zeros, the vertex and the axis of symmetry. After that, a Parabolas mind map adds the focus and directrix, and a quiz lets you check what stuck.

What do the mind maps on this page cover?

There are over 260 of them. They cover parabolas, factorising steps, completing the square, solving by formula, finding roots, maximum and minimum values, and quadratic vocabulary. Several are titled simply Quadratics, so open a few and keep the layout that makes sense to you.

Are the resources free to use?

Yes. Every resource listed here is free to open, study and take, with no account needed. A free account also saves your quiz scores and lets you make your own quizzes, mind maps, flashcards and notes.

Which exams and levels do these suit?

Nearly all the resources are at secondary level, so they suit school students. The listed resources mention GCSE Maths and A-level Maths. Teachers can use the quizzes, slides and flashcards as ready-made material for lessons or revision.

Who made these resources?

They were made by GoConqr users, not by GoConqr itself. More than 300 contributors have added material to this unit, so you will find different teaching styles, notation and levels of detail. If one explanation does not help, try another.

What if I can't find the exact topic I need?

Try a nearby resource first. The discriminant, vertex form, factorising and completing the square each have their own flashcard decks or quizzes. If your topic is still missing, you can build your own mind map, notes or flashcards from what you have learned.

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