IB

Worksheets By Topic


International Baccalaureate (IB) Maths worksheets with questions arranged by topic and difficulty level.

Quadratics

Quadratics is a large topic and has many interlinked ideas.  Therefore I have separated this topic into the several documents.  There are many representations of the same idea and each worksheet highlights this fact, so that a student can fully understand quadratics. For optimal understanding, it is best to follow the following order when tackling this topic:

  1. Definition of a quadratic and the difference between an expression and an equation
  2. Graphing quadratics using a table of values
  3. Factorising quadratics
  4. Solving Quadratics via factorising and the quadratic formula
  5. Completing The Square basic technique and its applications such as:

    o   Solving (this is the 3rd method of solving quadratics)

    o   Finding the vertex

    o   Finding the axis of symmetry

    o   Finding the max/min value

  6. Finding x and y intercepts or substituting to find certain values
  7. The 3 forms of a quadratic.  This includes:

    o   Converting between the 3 forms of a quadratic and solving each form

    o   Given a graph or certain features, find the equation of a quadratic

    o   Finding the vertex/axis of symmetry and min/max in each of the 3 forms

    o Graphing in each of the 3 forms via locating important features (y intercepts, x

         interceprs and the vertex)

  8. Using a graph to find approximate solutions or how many solutions
  9. Discriminant
  10. Quadratic Inequalities
  11. Quadratic Simultaneous Equations 
  12. Quadratic Modelling and Optimisation

Functions

  • Functions basics - finding values of functions, composite functions, finding inverses, odd/even etc
  • Transformations
  • Domain and range
  • Modulus functions
  • Graphing - how to graph all types of functions
  • Exponential and Logarithmic functons
  • Exponential Modelling
  • Polynomial Division
  • Sums and Products Of Roots

More worksheets are being uploaded over the coming weeks and months.  Please contact me if you have a request for a certain topic to be uploaded sooner.

 

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Worksheets By Topic:

Total of 152

Number and Algebra SL

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    Number and Algebra HL

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      Functions SL

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        Functions HL

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          Geometry And Trigonometry SL

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            Geometry And Trigonometry HL

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              Calculus SL

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                Calculus HL

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                  Statistics and Probability SL

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