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Year 10A Linear and Non-Linear (Quadratic Equations (Monic Factorisation,…
Year 10A Linear and Non-Linear
Core Concepts
Existing Core Concepts
Review
Linear Equations
Linear Graphs
Non-Linear Graphs
Expanding
Factorising
Problem Solving
Population Growth Models
Applications of Polynomials
Extension
Solve Cubic equations.
This is required for NSW
Activities
Exponential Equations
Exponentials
Applying Logarithms? Or maybe in review/pre-learning?
Solving Exponential Equations
Solve simple exponential equations (ACMNA270)
Non-Polynomial Graphs
Hyperbolas
Translations
Reflections in Axes
Circles
Translations
Reflections in Axes
Exponentials
Translations
Reflection in Axes
Describe, interpret and sketch parabolas, hyperbolas, circles and exponential functions and their transformations (ACMNA267)
Hyperbolas
Tables of values
y=k/x for integer k
Polynomial Graphs
Parabolas
Features
Transformations
Sketching
Cubics
Features
Sketching
Transformations
Quartics
Features
Sketching
Transformations
Features of Polynomial Graphs
Repeated Factors
Roots
Connect to zeros
y- intercept
connect to constant term
Turning Point
Behaviour as x→±∞
sign of leading term
Apply understanding of polynomials to sketch a range of curves and describe the features of these curves from their equation (ACMNA268)
Quadratic Equations
Monic Factorisation
Non-Monic Factorisation
Solving Monic Equations
Solving Non-Monic Equations
Writing Quadratic Equations
Factorise monic and non-monic quadratic expressions and solve a wide range of quadratic equations derived from a variety of contexts (ACMNA269)
The Quadratic Equation