Tuesday, DO NOW 1) Shayla has at least $100 to spend. Which inequality represents this situation? A) m < 100 B) m > 100 C) m 100 D) m 100 2) For babysitting, Nicole charges a flat fee of $3, plus $5 per hour. Which choice is the independent variable? A) $5 per hour B) The total amount C) Flat fee D) the number of hours 3) Solve: 5x + 2x = 21 1
2
Independent Practice... Glencoe Book 4:2 = 2:1 For every 2 flutes there is one drum 4:10 = 2:5 For every 2 sandwiches there are five milks Critical thinking questions: 1. What are we comparing? 2. Which quantity is stated first in our problem? 3. What exactly does the ratio mean? 4. Is the ratio simplified? 6:15 = 2:5 For every 2 boys, there are 5 girls. Page 23 4) 10:24 = 5:12 For every 5 mystery books read, her reads a total of 12. 5) 4:7 = 12:21 Page 24 3
6.RP.2 Understand the concept of a unit rate a/b associated with a ratio a:b with b 0, and use rate language in the context of a ratio relationship SWABT differentiate between rates and unit rates and write a unit rate for the given rate by setting up a denomenator of 1. 4
Previously... Yesterday we started ratios. I want you to take about 2 minutes with your table to review/answer these questions. a comparison of two quantities or measures A ratio is. Two ratios with the same value are known as equivalent ratios. The ways to write ratios are, using a colon the, word "to" and. as a fraction The three kinds of comparisons are: Part to Part Part to Whole Whole to Part What is the ratio of... triangles to squares total shapes to circles squares to circles and triangles 4: 4 1:1 16:8 2:1 4:12 1:3 5
New Vocabulary... Video Intro click per one unit 1 second 1 minute 1 dollar 1 hour 6
How to set up a unit rate: 1) Set up ratio and LABEL! *remember - the amount that's becoming "1" needs to be the denominator* 45 oranges 5 minutes 2) Make a proportion (2 ratios equivalent to one another) 45 oranges 5 minutes =? 1 minutes How to solve a unit rate: Look across to see how your numbers changed...what happened to your 5 to make it a 1? Do the same to the other number.?5 45 oranges 5 minutes =? 1 minutes?5 1) 2) 1) Write a ratio 2) Make a proportion 3) Scale up/down: What did we do to the denominator to get the "1" 3) 7
Modeling... Stop, watch and listen 1) Write a ratio 2) Make a proportion 3) Scale up/down: What did we do to the denominator to get the "1" 1) 4 concert tickets cost $56 dollars. How much did each ticket cost? 2) Hari traveled 125 miles in 5 hours. What was his average speed in miles per hour (mph)? 3) 4) A bag of M&M's, Twix and more sales for $14.99 for 135 pieces of candy. What is the price of one piece of candy? Copy all problems 8
Collaborative Practice... 1 2 $40 5 students $8 = 1 students 159 times 3 seconds 53 times = 1 seconds Teacher Follow up... Someone re-tell the steps for setting up a unit rate. 9
Independent Practice... What is the best deal on candy? What do you predict? Take 5 minutes to have your own "think time." Generate some ideas to help you get started. In groups of 2-3, set up the equivalent ratios to find the unit rate. Then you may use the calculator to help find the unit rate. ALL PROBLEMS MUST BE SET UP BEFORE you do the work. Your job is to find the best and the worst deal. 10
11
Attachments Ratio activity.pptx