Aim: How can we prepare for our Unit 2 Exam on proportional reasoning?Homework: Prepare for Unit Exam! Use Unit 2-Quiz 1, homework, classwork, review problems below, etc to review.Do Now: Classwork: Announcements: Unit 2 Exam has been moved to Friday December 2 due to Mr. Schiller's field trip. The exam will cover the topics from this unit:Ratios (rates, part-to-part, part-to-whole, etc.) Proportions and proportional reasoning Identifying proportional relationships from graphs, equations, tables Unit rates / constants of proportionality Interpreting and creating graphs/table/equations to model situations Aim: How can we find a unit rate in a description, an equation, a table or a graph?Homework: Cookie Task (click on document link below)Do Now: How can you use the graph to determine the unit rate? Classwork: The class again investigated proportional relationships and saw the connection between tables, graphs, and equations. The big idea for today's class is: When graphed, proportional relationships are STRAIGHT LINES THROUGH THE ORIGIN (0,0). We also noticed that the constant of proportionality in proportional relationships turns out to be the unit rate. We noticed that relationships, such as y = 3x + 5 cannot be proportional. Only relationships in the y = kx form can be proportional. Announcements: Unit 2 Exam tentatively scheduled for Thursday, December 1. The exam will cover the topics from this unit:Ratios (rates, part-to-part, part-to-whole, etc.) Proportions and proportional reasoning Identifying proportional relationships from graphs, equations, tables Unit rates / constants of proportionality Interpreting and creating graphs/table/equations to model situations
Aim: How can we find a unit rate in a description, an equation, a table or a graph?Homework: Unit 2 Textbook p. 53 #9Do Now: Write a useful unit rate for each situation. 1. You drive 300 miles in 6 hours. 2. A snail went 2 miles in 5 hours. Classwork: The class again investigated proportional relationships and saw the connection between tables, graphs, and equations. The big idea for today's class is: When graphed, proportional relationships are STRAIGHT LINES THROUGH THE ORIGIN (0,0). We also noticed that the constant of proportionality in proportional relationships turns out to be the unit rate. We noticed that relationships, such as y = 3x + 5 cannot be proportional. Only relationships in the y = kx form can be proportional. Announcements: How can we find a unit rate in a description, equation, or table?AIM: Happy Thanksgiving!HW: Is the relationship between the cost of Howdy's pizzas when you pick them up a proportional relationship? ExplainDo Now:Number of Pizzas 1 2 3 4 5 10 15 Cost for pickup 13 26 39 52 65 130 195 (Yes, it is proportional) : Please stop by during lunch hours when you have any questions on classwork or homework. Announcement Today was about proportionality in tables and equations. We started by analyzing two XY tables, In the first table, if you multiplied all of the x values by two, you got the y values. The second table did not have a pattern at all between the x and the y values. We used this concept to connect to Classwork:constant of proportionality, or the number the multiplies one variable to get the other. We talked about how constants of proportionality and unit rate are related to each other. Student increased their familiarity with the concept through examples, including student created examples. We began work on Problem 2.3 Part A.Resources:Aim: How can we use rate tables to find missing quantities?Homework: Unit 2 Textbook - Finish Problem 2.2 Do Now: Copy the table and fill in the missing information based on the diagram. (6 green squares, 18 red squares) Classwork: The class investigated rate tables today in the context of two pizza shops. The shops charged different prices for different amounts of pizza. We used the tables to determine which place was more cost effective to order from. We eventually began to set up equations with variables the model the pricing plans from each shop. Today, we extended our understanding from yesterday to create graphs from the rate tables. We analyzed the graphs to see what we noticed.Announcements: Unit 2 Exam next week, Thursday December 1stResources How can we use rate tables to find missing quantities?AIM: Unit 3: Comparing and Scaling; ACE#5-8, p.52HW: What is being compared in each statement below?Do Now:We need two sandwiches for each person at the picnic. I earn $5.50 per hour when I babysit for my neighbor. The mystery meat in the cafeteria has 355 calories per 6-oz serving. Akira's top running rate is 8.5 kilometers per hour. : There will be a group quiz this Friday, 12/4/15 on Unit 3, Problems 1.1-1.4, 2.1 and 2.2.Announcement Using Google Maps, we looked up pizza shops in the neighborhood. We compared promotions and offerings from 4 shops. Students used a variety of methods (including proportions, unit rates, and scaling) to determine which shop we should order pizza pies from. This was extended to Problem 2.2 in the textbook which involves a related problem. We completed the Classwork: in part A to compare Royal Pizza and Howdy's pizza and answered the accompanying questions to develop a better understanding. rate tableResources: How can you find whether two ratios are equivalent or if one is more favorable??AIM: Unit 3: Comparing and Scaling; ACE#1-3, p.51HW: Solve for x.Do Now:1. 2/7 = x/84 2. x/9 = 5/6 3. 8/13 = 12/x : There will be a unit exam 11/28-12/2.Announcement After discussing the Do Now reviewing answers to the homework for a student reflective period, we began the lesson by discussing which situation would be more favorable: to share 12 pieces of chocolate with 3 of your friend, or to share 21 pieces of chocolate with 7 of your friends. After some light debate and discussion, students eventually decided on the 12 piece situation. They provided a segue into the lesson pertaining to camper and pizza. Classwork:At a specific camp, large tables seat 10 camper and have 4 pizzas, while small tables seat 8 campers with 3 pizzas. Students used ratios to make comparisons and decide which table was more favorable (the large table provides each camper with a bit more pizza than at the small table). This set the stage for a variety of related questions and questioning. Resources: How can we assess our understanding of proportional reasoning?AIM:HW: Please clear your desk of everything except for a pencil and a calculator.Do Now:: Announcement Unit 2 - Quiz 1Classwork:Resources: How can we use proportions to solve word problems?AIM: Prepare for quiz tomorrow.HW: What is being compared in each statement below (use words, not numbers).Do Now:1) A pizza delivery guy can deliver 5 pizzas in 45 minutes. 2) The teacher grades 3 quizzes every 12 minutes. 3) Mr. Severiano drinks 17 fl. oz. of water every 53 minutes : There will be a quiz tomorrow on ratios and proportional reasoning. Please be prepared. Announcement We identified useful strategies to solve proportion word problems.Classwork:First, determine the things that are being compared and then write a proportion with WORDS ONLY. Then, substitute the numbers into their appropriate place in the proportion. Use a variable for unknown values. Next, use cross multiplication or scale factors to solve for the missing variable value. Resources: |
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June 2018
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