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Ecolint Campus des NationsMathematics
MYP 5Year 11Term 2

Exponential Growth

Functions
Statement of inquiry

How well can a single growth rate predict the future?

Assessed against

The MYP criteria this unit is marked against.

  • Investigating Patterns
What each criterion means →

What this unit covers

The sub-topics taught, in the order the department teaches them.

  • Exponential and Logarithmic functions
  • Rules of Logarithms
  • Logarithms and exponential equations
10 objectives

Learning objectives

What students should be able to do by the end of this unit.

Exponential Functions

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  • Understand the shape of an exponential function $y = a \cdot b^x$ and identify key intercepts and the horizontal asymptote.
  • Explore exponential graph transformations (vertical shift, reflection, dilation).
  • Solve real-life problems involving exponential growth and decay.
  • Solve depreciation and compound-interest problems.
  • Interpret the contextual meaning of the parameters $a$ and $b$ in $y = a \cdot b^x$.
  • Use technology to solve basic exponential equations.

Indices and Logarithms (Extended)

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  • Apply index laws for rational indices, including $a^{m/n} = \sqrt[n]{a^m}$.EXT
  • Convert between exponential and logarithmic form: $a^x = y \Leftrightarrow \log_a y = x$.EXT
  • Apply the logarithm laws: product, quotient and power.EXT
  • Solve logarithmic and exponential equations algebraically.EXT
Review pack

Curated revision materials parents and students can download.

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MYP framing

Focus ATLs
  • Thinking
  • Self-Management
Key concepts
  • Change
  • Models
Global context
  • Globalisation & Sustainability