| IB Studies - Algebra |
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| Linear algebra |
- Difference between an expression, equation and inequality.
- Substitute numbers into equations and expressions.
- Removing brackets from linear equations.
- Factorising linear equations.
- Constructing linear equations.
- Changing the subject of an equation.
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| Straight lines |
- Drawing straight lines.
- Appreciate gradient and y-intercept on straight lines.
- Finding equations of straight lines, y=mx+c.
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| Simultaneous equations |
- Solving simultaneous by elimination.
- Solving simultaneous by substitution.
- Solving simultaneous by use of two straight lines.
- Using a GDC to solve a pair of simulataneous equations.
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| Quadratics |
- Factorizing and solving quadratics.
- Expanding two brackets to form a quadratic equation.
- Factoring a quadratic equation into one or two brackets.
- Solving a quadratic equation by using factorization.
- Complete the square of a quadratic equation.
- Derive the quadratic formula from completing the square.
- Solve a quadratic equation by use of the quadratic formula.
- Construct and solve quadratic equations.
- Using a GDC to graph and solve a quadratic equation.
- Graphing quadratics, showing intercepts and the vertex.
- Finding the coordinates of the vertex of the quadratic equation.
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| Graphing functions |
- Graphs of quadratics, cubes, reciprocals, straight lines, and power functions. Sketch and recognize different types of curve.
- Interpreting a graph to solve equations graphically.
- Drawing tangents on graphs and finding gradients of curves at given coordinates.
- Drawing graphs on a GDC and solving equations using the GDC.
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| Functions |
- Substitute numbers into functions.
- Solve functions.
- Finding the inverse of a function.
- Composite functions.
- Domains and ranges of functions.
- Concept of a one-to-one function, many-to-one, one-to-many functions.
- Understand that a function only has an inverse if it is one-to-one.
- Graphing functions on a GDC.
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| Exponential function |
- Graphing exponential functions.
- Transformation of exsponential curves.
- Solving questions involving growth and decay.
- Understanding asymptotes.
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| Series: arithmetic and geometric |
- Arithmetic series: sum of and next term.
- Geometric series: sum of and next term.
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