Document Reference Date Submitted By NG_AL2_T_03_Day1_GR_MathIntro_SB_The_Normal_Distribution 16.02.2016 LearningMate Solutions Disclaimer This document is the proprietary and exclusive property of LearningMate Solutions Private Ltd. except as otherwise indicated. No part of this document, in whole or in part, may be reproduced, stored, transmitted, or used without the prior written permission of LearningMate Solutions Private Ltd. INFORMATION RECEIVED FROM K12 (To be used for the video scripting.) Learning Objective: (column M) Solve problems about normally distributed data using the 68-95-99.7 rule. Determine whether a data set is normally distributed. Prerequisite Skills:(column R) Not available Idea Outline from K12: (column S) K12 has not provided with any Idea Outline. Book Reference: http://k12.kitaboo.com/eBookWs/ebook/maths/maths21/# Pages 23-24 and 38–39 Note from the client: (but don’t discuss z-scores, so problems 1 and 3 okay) STORYBOARD SCRIPT Approx video length: 85 seconds Word Count: 203 Topic: The Normal Distribution Video Format: Hosted Video Type: Concept Target Audience: Grades 9 – 11 Audio Number Narration OST Design Notes Athletes: The Normal Distribution Show the title on screen. Image ID_376933027 Image ID_139255337 Image ID_119145274 NG_AL2 _T_03_D ay1_GR_ MathIntr o_01.mp 3 Hello! I’m Jenna, and I love basketball. The average male basketball player is two hundred centimeters tall. I know that he is taller than the average male baseball player and both are taller than the average man. I wonder what percent of men are 200 cm 187 cm 175.5 cm 1. Show Jenna (actor: Patricia) in the dining room. 2. Show a male basketball player (tall). Add label beneath: “200 cm”. 3. Show a male baseball player (middle height). Add label beneath: “187 cm”. 4. Show an average man (shortest height). Add label beneath: “175.5 cm”. 5. Show Jenna close up. shorter than the average basketball player. NG_AL2 _T_03_D ay1_GR_ MathIntr o_02.mp 3 What percentage of men is shorter than two hundred centimeters? Over fifty-five percent, over seventy-five percent, or over ninety-five percent? What percentage of men is shorter than two hundred centimeters? 1. Change to Male Adult VO Background Image ID_245637325 Use this backdrop as the screen for the following steps. Over 55% Over 75% Over 95% Over ninety-five percent! Let’s find out why. NG_AL2 _T_03_D ay1_GR_ Heights of men are normally distributed with a mean of one hundred seventy-five point five Heights of men are normally distributed. 2. Highlight ‘over 95% 1.Show OST sentence 2. Show “Mean = 175.5 cm” 3. Show “Standard Deviation = 7.37 cm” MathIntr o_03.mp 3 NG_AL2 _T_03_D ay1_GR_ MathIntr o_04.mp 3 centimeters and a standard deviation of seven point three seven centimeters. Mean = 175.5 cm This means that the distribution of heights can be shown as a bell curve, with one hundred seventyfive point five centimeters in the middle. [FRO 4] To determine the percent of heights that are below two hundred centimeters, we want the area under the bell curve below x equals two hundred. [FRO1] Using a graphing calculator, we see that this area is zero point nine seven five, which means ninetyseven point five percent of men are shorter than two hundred centimeters tall. Standard Deviation = 7.37 cm 4.Show the image as shown below, title of graph “Male Height,” label the horizontal axis “Height (cm)” 1.Keep the graph from last scene. Show the OST “x = 200” with vertical line and shade under the bell curve to the left of the line. Area = 0.975 97.5% of adult males are shorter than 200 cm 2. Show OST “Area = 0.975”. 3. Show final OST. NG_AL2 _T_03_D ay1_GR_ MathIntr o_05.mp 3 By examining the normal distribution, I know that almost ninety-eight percent of men are actually shorter than the average basketball player. 1. Show Jenna back on screen.