Aim: How can we prepare for our quiz on ratios and proportional reasoning?Homework: Prepare for Wednesday's quiz. Use notes and online resources below to help you prepareDo Now: How can we solve the proportion below? 3/10 = x/6 Classwork: After reviewing the previous night's homework in detail, students worked in their collaborative partnerships on problems that required proportional reasoning.Announcements: There will be a quiz this Wednesday November 1. This quiz will cover comparison statements, part-to-part and part-to-whole ratio, and proportions.Resources:LOGIN WITH YOUR RKA GOOGLE ACCOUNT TO TRACK PROGRESShttps://www.khanacademy.org/math/cc-seventh-grade-math/cc-7th-ratio-proportion#cc-7th-rates https://www.khanacademy.org/math/cc-seventh-grade-math/cc-7th-ratio-proportion#cc-7th-write-and-solve-proportions/ Aim: What strategies can you use to find the missing value in a proportion?Homework: Comparing and Scaling p.18 Problem 1.4 (Part D only)Do Now: Mr. Severiano grades 12 quizzes every 15 minutes. How many minutes will it take him to grade 30 quizzes? Explain your thinking. Classwork: We investigated proportional reasoning and how it can be used, in conjunction with scaling, to solve problems. When writing proportions, start by writing the proportion in words. This will help to keep your work organized. Then substitute the values (and a variable) into their appropriate locations. Solve the proportion by using scale factors or cross-multiplication. Announcements: There will be a quiz Wednesday, November 1. This quiz will cover comparison statements, part-to-part and part-to-whole ratio, and proportions.Resources:https://www.khanacademy.org/math/cc-seventh-grade-math/cc-7th-ratio-proportion#cc-7th-rates https://www.khanacademy.org/math/cc-seventh-grade-math/cc-7th-ratio-proportion#cc-7th-write-and-solve-proportions Aim: What strategies can you use to find the missing value in a proportion?Homework: Comparing and Scaling p.25-26 #19,29-31Do Now: The ratio of doctors in NY is about 12 men to 7 women. If about 60,000 NY doctors are men, how can we determine how many doctors are women? Classwork: We investigated proportional reasoning and how it can be used, in conjunction with scaling, to solve problems. When writing proportions, start by writing the proportion in words. This will help to keep your work organized. Then substitute the values (and a variable) into their appropriate locations. Solve the proportion by using scale factors or cross-multiplication. Announcements: There will be a quiz next Wednesday, November 1. This quiz will cover comparison statements, part-to-part and part-to-whole ratio, and proportions.Resources:https://www.khanacademy.org/math/cc-seventh-grade-math/cc-7th-ratio-proportion#cc-7th-rateshttps://www.khanacademy.org/math/cc-seventh-grade-math/cc-7th-ratio-proportion#cc-7th-write-and-solve-proportionsAim: What are some issues created by scaling up or scaling down a recipe?Homework: Textbook p.23-24, #13,15Do Now: Compare and contrast the ratios:2 cups of concentrate to 3 cups of water 2 cups of concentrate to 5 cups of juice Classwork: Today's class examined the difference between part-to-part ratios and part-to-whole ratios and how they are used when making comparisons.Announcements: Resources:Aim: What strategies do you use to determine which mix is more orangey?Homework: Comparing and Scaling p.22, #10Do Now: Use the following data to make three different statements comparing them.In a survey, 75 people prefer chocolate and 25 people prefer vanilla. Classwork: Many people buy orange juice from the store in a pre-made bottle. Another option for orange juice is to buy semi-frozen cans of concentrate and to mix them with cans or water to produce juice. We looked at different orange juice recipes and used our understanding or ratios to make predictions as to which one will be most orangey--that is, which will have the strongest orange flavor.Announcements: ResourcesAim: What do different comparisons of quantities tell you about their relationships?Homework: Comparing and Scaling pp.19-20 #2,4,5Do Now: Can you think of some commercials that use numbers to make comparisons between different products? Classwork: Today built on the idea of ratios as comparison statements. Students investigated a soda survey situation and say different ways to express the results of the survey. We discussed the usefulness of each method, particularly when a company uses statistics to persuade people to purchase a specific project.Announcements: Resources:Aim: How can we use mathematical reasoning to make informed decisions?Homework: Freezing in Fargo Task (copy below)Do Now: What information would you like to know to determine the better deal? (pictured: two different sizes of Goldfish packages)Classwork: Today was an introduction to proportional reasoning. Students were asked to compare packages (using unit rate, scaling, and other methods) to determine the better deal. They then looked at the world record attempt for a dog to pop 100 balloons. A short clip was played that showed the dog popping 25 balloons in 5 seconds. Predictions were made on the time needed to pop the 100 balloons. Again, proportional reasoning was used. We then played the entire clip to see it took the dog 38 seconds, which turned out to be longer than what was expected. The extra time was accounted for in our discussion.Students were also asked if they should use a 20% off coupon when shopping or a $20 off coupon. The group decided that it depended upon what was being purchased. $100 was the break point. It's more effective to use the $20 coupon when the price of the item is below $100, and better to use the 20% coupon when the original price was more than $100. Announcements: Resources:
Aim: How can we assess our understanding of Unit 1 Number System / Rational Numbers?Homework: Enjoy the weekendDo Now: please clear your desk of everything except for a pencil and a scantronClasswork: Unit 1 TestAnnouncements: ResourcesAim: How can we prepare for our unit exam on the number system / rational numbers?Homework: Prepare for tomorrow's examDo Now: Rewrite in factored formClasswork: Using our knowledge of the distributive property, we were able to manipulate expressions and rewrite them in equivalent forms (factored, standard, expanded).Announcements: There will be a Unit Test on Tuesday, October 17. Topics: everything from quizzes +,-,x,÷ rational numbers (fractions, decimals, integers) order of operations distributive property integer chips / number lines Resources:Aim: How can we prepare for our unit exam on the number system / rational numbers?Homework: Create a 1-page study guide for Friday's exam.Do Now: Rewrite in factored formClasswork: Using our knowledge of the distributive property, we were able to manipulate expressions and rewrite them in equivalent forms (factored, standard, expanded).Announcements: There will be a Unit Test on Tuesday, October 17. Topics: everything from quizzes +,-,x,÷ rational numbers (fractions, decimals, integers) order of operations distributive property integer chips / number lines Resources: |
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June 2018
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