Modelling curves using logarithms: worksheet

An activity-based worksheet

Jacob Bernoulli & logarithms

Learning Objectives

REVISE and APPLY

• laws of logarithms,
• equation of a straight line,
• finding the equation of a straight line by its gradient and the y- intercept

GET ABLE TO

• Identify if a given data set follows an exponential model
• Evaluate the constants within the model
• Reflect on the behavior of the model for very small or very large values
• Critique the appropriateness of the model

Assessment Objectives (OCR MEI spec)

1.1. construct and present mathematical arguments through the appropriate use of diagrams
Sketching graphs and deduce the values of constants

1.2. understand the mathematical language and set out in the context

2.1 recognise the underline mathematical structure in a situation

3.3 interpret the outputs of a mathematical model in the context of the original situation

3.4 understand that a mathematical model has limitations, can be improved. Evaluate if a model is adequate or appropriate.

Technology

Detailed guidelines for using the graphic calculator and/or GeoGebra applet have been incorporated in the worksheet.

Transferability of knowledge :

Cases where the acquired skills can be used in physics: radiation, measuring the capacity based on a capacitor's discharge current, finding drag coefficient by the kinematic quantities of a falling object.

Inspire-Motivate

"How can  0.0039-inch-thick paper get to be as thick as the Universe?"

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