Ib maths studies revision worksheets
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:
- Definition of a quadratic and the difference between an expression and an equation
- Graphing quadratics using a table of values
- Factorising quadratics
- Solving Quadratics via factorising and the quadratic formula
- Completing The Square basic technique and its applications such as: oSolving (this is the 3rd method of solving quadratics)oFinding the vertexoFinding the axis of symmetryoFinding the max/min value
- Finding x and y intercepts or substituting to find certain values
- The 3 forms of a quadratic. This includes: o Convertingbetween 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 formsoGraphing in each of the 3 forms via locating important features (y intercepts, xinterceprs and the vertex)
- Using a graph to find approximate solutions or how many solutions
- Discriminant
- QuadraticInequalities
- Quadratic Simultaneous Equations
- 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.
