Glossary
Straight lines
The gradient of a line
Finding the equations of a straight line
1 Using the gradient and the y-intercept
2 Using the gradient and one point
3 Using two points
4 From practical information
Putting it all together
Recognising graphs and curves
Parabolas
Parabolas – matching equations with graphs
Circles
Circles – matching equations with graphs
Hyperbolas
Hyperbolas – matching equations with graphs
Mixing it up
Quadratic expressions
Expanding
Factorising quadratics
1 Where the coefficient of x2 is 1
2 Where the coefficient of x2 is not 1 and there is a common factor
3 Where the coefficient of x2 is not 1 and there is no common factor
Solving quadratic equations
1 By factorising
2 Using the quadratic formula
3 Using a calculator
Finding how many solutions exist
Simultaneous equations
Line and parabola
Line and circle
Line and hyperbola
Finding unknown values, given the number of solutions
Mixing it up, with applications
Practice tasks
Answers
Charlotte has over 10 years’ experience in teaching Mathematics, the majority of this as Assistant HOD of Mathematics and Dean of Year 9 at Darfield High School. She has also undertaken a year at St Margaret’s – a high decile, girls’ school. Here she focused on teaching the junior levels (including Year 7 and 8).
Victoria has twenty years’ experience in teaching Mathematics and has recently retired as Teacher of Mathematics and Specialist Classroom Teacher at Riccarton High School. She has received a Jim Campbell award for teaching excellence (2003) and an Ernest Duncan award in Mathematics (2007).
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