Regents Prep ­ Day 65 ­ Relative Error.notebook December 15, 2014 12/17/14 Aim: How Significant are Mistakes in Measuring Dimensions When Calculating Surface Area and Volume ? HW: Complete Delta Math Assignment 15 by Sunday Midnight DO NOW 1 Regents Prep ­ Day 65 ­ Relative Error.notebook December 15, 2014 Aim: How Significant are Mistakes in Measuring Dimensions When Calculating Surface Area &Volume? 2 Regents Prep ­ Day 65 ­ Relative Error.notebook December 15, 2014 Aim: How Significant are Mistakes in Measuring Dimensions When Calculating Surface Area &Volume? Guess my weight.... Is one guess worse than the other? Why or why not? Guess: 450lbs 150lbs Actual: 400lbs 100lbs 3 Regents Prep ­ Day 65 ­ Relative Error.notebook December 15, 2014 Aim: How Significant are Mistakes in Measuring Dimensions When Calculating Surface Area &Volume? Relative Error Ms. Sims wants to calculate the area of the surface (a square), and the volume of the water (a cube). The actual lengths of all the segments are 4 feet. When she measures them, she mistakenly gets an answer of 5 feet. Question: Are both of the calculations going to be off by the same amount? Why or why not? 4 Regents Prep ­ Day 65 ­ Relative Error.notebook December 15, 2014 Aim: How Significant are Mistakes in Measuring Dimensions When Calculating Surface Area &Volume? Relative Error Ms. Sims wants to calculate the area of the surface (a square), and the volume of the water (a cube). The actual lengths of all the segments are 4 feet. When she measures them, she mistakenly gets an answer of 5 feet. How does this error affect her calculations? 5 Regents Prep ­ Day 65 ­ Relative Error.notebook December 15, 2014 Aim: How Significant are Mistakes in Measuring Dimensions When Calculating Surface Area &Volume? Complete Problems #1 & #2 on Worksheet 6 Regents Prep ­ Day 65 ­ Relative Error.notebook December 15, 2014 Aim: How Significant are Mistakes in Measuring Dimensions When Calculating Surface Area &Volume? 7 Regents Prep ­ Day 65 ­ Relative Error.notebook December 15, 2014 Aim: How Significant are Mistakes in Measuring Dimensions When Calculating Surface Area &Volume? Calculating Relative Error Finish Worksheet 8 Regents Prep ­ Day 65 ­ Relative Error.notebook December 15, 2014 Aim: How Significant are Mistakes in Measuring Dimensions When Calculating Surface Area &Volume? 9 Regents Prep ­ Day 65 ­ Relative Error.notebook December 15, 2014 Aim: How Significant are Mistakes in Measuring Dimensions When Calculating Surface Area &Volume? 10 Regents Prep ­ Day 65 ­ Relative Error.notebook December 15, 2014 Aim: How Significant are Mistakes in Measuring Dimensions When Calculating Surface Area &Volume? What is relative error and how do we calculate it? 11 Regents Prep ­ Day 65 ­ Relative Error.notebook December 15, 2014 Aim: How Significant are Mistakes in Measuring Dimensions When Calculating Surface Area &Volume? Final Challenge To calculate the volume and surface area of a cylinder, John measured the radius and the height. According to his measurements, the radius is 2.2 inches and the height is 6.3 inches. The actual measurements are a radius of 2 inches and a height of 6 inches. Which calculation has a greater relative area, the surface area or the volume? 12 Regents Prep ­ Day 65 ­ Relative Error.notebook December 15, 2014 Aim: How Significant are Mistakes in Measuring Dimensions When Calculating Surface Area &Volume? Final Challenge To calculate the volume and surface area of a cylinder, John measured the radius and the height. According to his measurements, the radius is 2.2 inches and the height is 6.3 inches. The actual measurements are a radius of 2 inches and a height of 6 inches. Which calculation has a greater relative area, the surface area or the volume? 13