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Year 10A Linear and Nonlinear Relationships (Quadratic Equations…
Year 10A Linear and Nonlinear Relationships
Review
Introduction to Graphing
Introduction to Equations
Solving linear equations
Identifying constants and variables
Rearranging linear equations
Understanding that any graph can be described by an
equation
Extra for Experts: Bessel functions?
Nonlinear Graphs
Parabolas
Circles
Exponentials
Quadratic Equations
Quadratic Equations
Anatomy of a Quadratic Equation
General form: ax^2+bx+c
Monic: a=1
Non-monic: a not equal to 1
Factorising Quadratic Equations
Solving Quadratic Equations Using Graphical Techniques
Solving Quadratic Equations Using Algebraic Techniques
Applications of Quadratic Equations
PROJECTILE MOSHUUUUUN!
Modelling arches and architecture
Exponential Equations
Modelling Population Growth
How do bacteria multiply?
Understanding rates of growth
Comparing different populations
Bacteria vs humans
Ferns vs redwoods
Dogs vs elephants
Writing Exponential Equations
Writing an equation given rate of growth or expansion
Solving Exponential Equations
Non-Linear Graphs