Скачать или смотреть Can You Solve This Lighthouse Math Mystery? [Intermediate]

Real-world sinusoidal models don’t always start at a maximum or minimum, sometimes they begin mid-cycle, involve delays, or require careful interpretation. In this video, we take your sinusoidal modelling skills to the next level by introducing horizontal translations and applying them in two richer, real-context problems: a rotating lighthouse beacon and a full-day tidal cycle. Calculator is powered by Desmos. (www.desmos.com)

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You'll learn how to:
Build sinusoidal models that include phase shifts
Interpret maximums, minimums, and midlines in context
Convert real-world timing into periods and b-values
Use sine functions even when cosine would be easier
Solve for times using your model (including inequalities)
Read and interpret graphs over a full 24-hour cycle

This lesson is ideal for students in Grade 10–12 math courses including Pre-Calculus, Algebra II, Functions, or Advanced Functions, as well as those studying AP Precalculus, AP Calculus, IB Mathematics (AA SL/HL), IGCSE, or A-Level Math.

Chapters
00:00 - Introduction
00:21 - Lighthouse Problem Involving Horizontal Shift
5:39 - Interpretive Tides Problem
20:49 - Recap and Check Your Understanding Question

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