# Feb 4 Precalculus Sine Graphs for Sunshine

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Reflection: Discuss the transformations of a sine graph

Project 1: Make your own Trig Problem Given 5 Points

Include Table of 5 Critical values, Graph, Equation, and Color labelling of A, B, C, D using vocabulary Amplitude, Frequency, Period, Phase Shift, Vertical Displacement

Make the Table, Make the Graph, Make the Equation. Identify A, B, C, D and show how they are represented in the graph using color.

Project 2: Daylight Hours  – Explore Here

Daylight Hours Calculators  —

Sunrise/Sunset Daylight Graph Help

Sign up for a City and Graph One Year’s worth of Total Daylight Hours…. from Jan 1 to Dec 31– make December 31 Day 0. You can do it on GP or on DESMOS

Determine

1. How many hours of daylight there will be on your birthday.

2. Determine: On which days will there be 13 hours of daylight.

# Feb 4 Statistics Sampling Distributions

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Objective: Students know sources of variation in sampling and understand through the central limit theorem that larger samples are better

Lesson: The Jelly Blubber Lab HW: Prepare for a Test on Sampling Distributions/Mean and SD of Sampling Distributions/Central Limit Theorem/Normal Approximations    ONLINE QUIZZES BPS 11 TPS Ch 9

# Feb 4 Calculus AB: Average Value for Integrals

Objective: Students can find the average value of a function over an interval [a,b] and the point [c] that guarantees the mean value theorem for integrals

Warm-Up: Reflect: What is the difference between distance and displacement? Draw it. Write the formulas

Video: Roshan 6.4 from your textbook!

Lesson Material: MMM U 32  Average Value/2nd Fundamental Theorem

TH Project: Due Monday—- Create a Distance/Displacement Story  by drawing a graph of velocity v time similar to your Roller Coaster Project. The difference is, instead of graphing position first, you graph the velocity. Identify when the person/car is going forward, backward and how far. Be sure to explain the displacement difference from original position and displacement] Make it colorful.

HW: HW Problems 1-4 from MMM U 32

Study Average Value in KhanAcademy/Watch Roshan