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WEEK-13-APPLICATIONS-OF-RADICAL-FUNCTIONS

VIMSCHOOL

Created on January 3, 2025

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Transcript

Applications of Radical Functions

Objectives

Start

Story

Modeling with Radical Functions

Real Life Applications

Real Life Example

Summary

Story

Characters

Modeling with Radical Functions

Square Root Modeling

Cubic root modeling

V is the volume of the soccer ball and r is the radius

Real Life Applications

What is the Purpose of Radical Functions?

  • Its main function is to solve inverse power equations.
  • Relate magnitudes in different dimensions
  • Analyze phenomena involving growth or decay
  • Among others...

Let's analyze

Real Life Example

Example

A watchmaker needs to build a simple pendulum for an antique clock. The pendulum must have a period of oscillation of 2 seconds (the time it takes to go back and forth). To calculate the correct length of the pendulum, a radical function is used.

Summary

Real domain and context

Types of radical functions

Frequent errors

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Welcome 6th graders!

A journey soon begin through Social Science experiences!

11TH-APPLICATIONS-OF-RADICAL-FUNCTIONS-EN © 2025 by CASURID is licensed under CC BY-NC-ND 4.0

Where we can see the radical functions?
  • Physics and Mechanics
  • Economics and Finance
  • Engineering and Construction
  • Medicine and Biology

Substitute values:

Interpretation of the radical function:

  • The length L depends on the square of the period T (that is why a square root is used when clearing).
  • If the period increases, the length of the pendulum grows quadratically.

Clear L (length):

MA.912.AR.7.3 Solve and graph mathematical and real-world problems that are modeled with square root or cube root functions. Interpret key features and determine constraints in terms of the context. MA.K12.MTR.7.1 Apply mathematics to real-world contexts. ELD.K12.ELL.MA.1 English language learners communicate information, ideas and concepts necessary for academic success in the content area of Mathematics.

The formula for the period of a simple pendulum is:

Pendulum length (in meters).

Gravitational Acceleration

Period (in seconds).

How many liters are there at 𝑡=16 minutes?

V: Volume measured in liters.

t: Time measured in minutes.