1. 21 st Century Lessons Review of Ratios and Rates Unit Primary Lesson Designer: Stephanie Conklin 1

2. 2 This project is funded by the American Federation of Teachers.

3. 3 *1 st Time Users of 21 st Century Lesson: Click HERE for a detailed description of our project.HERE 21 st Century Lessons – Teacher Preparation Spend AT LEAST 30 minutes studying the Lesson Overview, Teacher Notes on each slide, and accompanying worksheets. Set up your projector and test this PowerPoint file to make sure all animations, media, etc. work properly. Please do the following as you prepare to deliver this lesson: Feel free to customize this file to match the language and routines in your classroom.

4. 4 Lesson Objective SWBAT solve real-world and mathematical problems using ratio and rate reasoning to review for unit assessment. SWBAT apply ratio language in real-world problems. Lesson DescriptionThis lesson serves as a complete review of the ratio unit. Students will begin class with a high-interest launch and will brainstorm real-world connections that have been made to ratios and rates. We will then have students play Jeopardy. There are suggestions for Jeopardy rules, which teachers can review. The Jeopardy game has categories, questions and answers embedded in the game. There is also a final jeopardy question that can be found on slide 13. After the game, students will write a letter to an absent classmate. If time remains, students can work on a class work assignment, and review answers in class. Lesson Overview (1 of 3)

5. 5 Lesson Vocabulary Ratio: a comparison of two quantities Rate: a comparison of two different measurements Unit Rate: a comparison of 2 different quantities where one measurement only has 1 unit. Materials A class set of Jeopardy Work sheets and class work Internet access and projector Scaffolding This lesson is interactive and also engaging for all students. Since students are working in partners, the opportunity to talk will help ELL students. Further, the letter writing to an absent class mate will allow for extra writing practice. Enrichment Students who need an extra challenge may want to work on writing their own review questions for this lesson. These students could provide answers and explanations which could be used as a quick review for next class before the assessment. Online Resources for Absent Students http://www.yourteacher.com/prealgebra/unitprice.php?autoplay http://my.homecampus.com.sg/Learn/Primary-Grade-6/Ratio/Word- Problems Lesson Overview (2 of 3)

6. 6 Lesson Overview (3 of 3) Common Core State Standard This lesson reviews all of standard 6RP: http://www.corestandards.org/the- standards/mathematics/grade-6/ratios-and-proportional- relationships/ Before and AfterThis topic is the last lesson in the ratio unit. Previous lessons should have reviewed key concepts like ratio, rate, unit rate, tape diagrams, ratio tables and graphing. Further, students will have been exposed to a host of real-world situations that require students to use ratio and rate tools. Topic BackgroundThroughout this unit, we have made an effort to review and reinforce vocabulary and concepts in relation to real-world applications. This lesson will provide an overview of a variety of real-world situations where students must be rates and ratios like highest paying job, cooking, distance and time when compared to tasks (like making necklaces in certain time period).

7. Warm Up Objective: SWBAT solve real-world and mathematical problems using ratio and rate reasoning to review for unit assessment. Language Objective: SWBAT apply ratio language in real-world problems. Agenda 7 1)Pick two odd numbers between 0 and 100. Write these numbers as a simplified ratio. 2)Pick two even numbers between 0 and 100. Write these numbers as a simplified ratio. 3)What do you notice that is different between the ratio of #1 and #2? Try these thinking questions for our warm-up.

8. Agenda: 1) Warm Up (Individual) 2) Launch – Job Offer and Brainstorm (Partner Work and Whole Class) 3) Explore – JEOPARDY (Whole Class) 4) Summary – Letter to a Friend (Independent and Whole Class) 5) Practice (Partner Work) 6) Assessment 8 Objective: SWBAT solve real-world and mathematical problems using ratio and rate reasoning to review for unit assessment. Language Objective: SWBAT apply ratio language in real-world problems.

9. Launch (Partner Work) Agenda 9 After studying computer science in college, you have two job offers from both Apple and Google. Based on the information provided, which job would you choose? Why? Discuss with a partner! Apple Work 50 hours per week and make $2,000. Apple Work 50 hours per week and make $2,000. Google Work 40 hours per week and make $1,400. Google Work 40 hours per week and make $1,400.

10. Launch (Whole Class) Agenda 10 In this unit on ratio and rates, what other real-world situations have we discussed? Brainstorm list:

11. Explore – Jeopardy (Whole Class) 11 Agenda Let’s play Jeopardy! Before we begin, let’s get into small groups and review the rules! Let’s play Jeopardy! Before we begin, let’s get into small groups and review the rules! Suggested Jeopardy Rules: 2-3 students per group All students must show their work on Jeopardy sheet We only count points for correct answers We do NOT take away points for wrong answers (except in Final Jeopardy) 1 answer per group for each question 90 seconds time limit for each question

12. Explore – Jeopardy (Whole Class) 12 Agenda jeopardylabs.com/play/ratio-and-rates-review-gamejeopardylabs.com/play/ratio-and-rates-review-game.

13. Launch - Final Jeopardy (Whole Class) 13 Agenda If Oscar runs 9 miles in 72 minutes. How many miles will he run in 2 hours? Make sure to label your answer! ANSWER: 15 miles 2 hours = 120 minutes 120 minutes/8 minutes per mile = 15 miles 72 minutes/9 miles = 8 minutes per mile

14. Summary (Independent) 14 Agenda Michelle is not in class today! Write her a letter that : 1)Tells her how to write a ratio in 3 ways 2)Reminds her the definition of rate 3)Reviews 2 key concepts that we covered in Jeopardy 4)A suggestion on how to study for our test Dear Michelle, Today in class, _________________________________ _______________________________________________.

15. Practice – Class work (Partner Work) 15 Agenda

16. Practice – Class work (Partner Work) 16 Agenda Answer Key

17. Assessment (Independent) 17 Agenda 1) Write a ratio in simplest terms of students to pizzas in 3 ways. Ms. Dean is the adviser of Eastern High School’s student council. At their last meeting, 20 students ate 5 pizzas. 2) Write a sentence explaining your ratio in #1. 3) Based on last meeting’s student to pizza ratio, how many pizzas should Ms. Dean order for the next meeting, if there will be 30 students in attendance? 4 students to 1 pizza4 students : 1 pizza4 students 1 pizza For every 4 students at the meeting, 1 pizza will be eaten. Ms. Dean will need to order 8 pizzas to feed 30 students. There will be ½ a pizza leftover.

18. Back to Lesson 18 1 st Time Users of 21 st Century Lessons Welcome to 21 st Century Lessons! We are a non-profit organization that is funded through an AFT (American Federation of Teachers) Innovation Grant. Our mission is to increase student achievement by providing teachers with free world-class lessons that can be taught via an LCD projector and a computer. 21 st Century Lessons are extremely comprehensive; we include everything from warm–ups and assessments, to scaffolding for English language learners and special education students. The lessons are designed into coherent units that are completely aligned with the Common Core State Standards, and utilize research-based best practices to help you improve your students’ math abilities. Additionally, all of our lessons are completely modifiable so you can adapt them if you like. Description of 21 st Century Lessons: Next Slide

19. 19 1 st Time Users of 21 st Century Lessons The lesson that you are currently looking at is part of a unit that teaches the following Common Core Standards: Standards for This Unit Next SlideBack to Lesson

20. 20 1 st Time Users of 21 st Century Lessons In order to properly use 21 st Century Lessons you will need to possess or arrange the following things: Required: PowerPoint for P.C. (any version should work) Note: Certain capabilities in the PowerPoint Lessons are not compatible with PowerPoint for Mac, leading to some loss of functionality for Mac PowerPoint users. An LCD projector Pre-arranged student groups of 2 – (Many lessons utilize student pairings. Pairs should be seated close by and be ready to work together at a moment’s notice. Scissors – at least 1 for every pair Requirements to teach 21 st Century Lessons: Next SlideBack to Lesson

21. 21 1 st Time Users of 21 st Century Lessons Computer speakers that can amplify sound throughout the entire class “Calling Sticks” – a class set of popsicle sticks with a student’s name on each one A remote control or wireless presenter tool– to be able to advance the PowerPoint slides from anywhere in your classroom Personalize PowerPoints by substituting any names and pictures of children we included in the PowerPoint with names and pictures of your own students. Since many lessons utilize short, partner-processing activities, you will want a pre- established technique for efficiently getting your students’ attention. (“hands- up”, Count from “5” to “0” etc.) Project onto a whiteboard so you or your students can solve problems by hand. (Lessons often have a digital option for showing how to solve a problem, but you may feel it is more effective to show the work by hand on a whiteboard.) Internet connectivity – without the internet you may not have full functionality for some lessons. Strongly Suggested to teach 21 st Century Lessons: Next SlideBack to Lesson

22. 22 1 st Time Users of 21 st Century Lessons We suggest spending 30-45 minutes reviewing a lesson before teaching it. In order to review the lesson run the PowerPoint in “Slideshow “- Presenters View and advance to the “Lesson Overview” slide. By clicking on the various tabs this slide will provide you with a lot of valuable information. It is not necessary to read through each tab in order to teach the lesson, but we encourage you to figure out which tabs are most useful for you. Note: All of our lessons are designed to be taught during a 45-55 minute class. If your class is shorter than this you will have to decide which sections to condense/remove. If your class is longer we suggest incorporating some of the “challenge” questions if available. Lesson Preparation (Slide 1 of 2) Next Slide Back to Lesson

23. 23 1 st Time Users of 21 st Century Lessons After reviewing the overview slide, click your way through the PowerPoint. As you go, make sure to read the presenter note section beneath each slide. The note section is divided into two sections: “In-Class Notes” and “Preparation Notes.” The In-Class Notes are designed to be concise, bulleted information that you can use “on the fly” as you teach the lesson. Included in In-Class Notes are: a) a suggested time frame for the lesson, so you can determine whether you want to speed up, slow down, or skip an activity, b) key questions and points that you may want to bring up with your students to get at the heart of the content, and c) answers to any questions being presented on the slide. The Preparation Notes use a narrative form to explain how we envision the activity shown on the slide to be delivered as well as the rationale for the activity and any insight that we may have. Lesson Preparation (Slide 2 of 2) Next SlideBack to Lesson

24. 24 1 st Time Users of 21 st Century Lessons There are several features which have been incorporated into our PowerPoint lessons to help make lessons run more smoothly as well as to give you access to additional resources during the lesson should you want them. These features include: Agenda Shortcuts – On the agenda slide, click on any section title and you will advance to that section. Click the agenda button on any slide to return to the agenda. Action Buttons – On certain slides words will appear on the chalk or erasers at the bottom of the chalkboard. These action buttons give you access to optional resources while you teach. The most common action buttons are: Scaffolding – gives on-screen hints or help for that slide Answers – reveals answers to questions on that slide Challenge – brings up a challenge questions for students Agenda – will return you to the agenda at the beginning of the lesson Features built into each PowerPoint lesson Back to Lesson

25. The goal of 21 st Century Lessons is simple: We want to assist teachers, particularly in urban and turnaround schools, by bringing together teams of exemplary educators to develop units of high-quality, model lessons. These lessons are intended to: Support an increase in student achievement; Engage teachers and students; Align to the National Common Core Standards and the Massachusetts curriculum frameworks; Embed best teaching practices, such as differentiated instruction; Incorporate high-quality multi-media and design (e.g., PowerPoint); Be delivered by exemplary teachers for videotaping to be used for professional development and other teacher training activities; Be available, along with videos and supporting materials, to teachers free of charge via the Internet. Serve as the basis of high-quality, teacher-led professional development, including mentoring between experienced and novice teachers. 21 st Century Lessons The goal… 25

26. Directors: Kathy Aldred - Co-Chair of the Boston Teachers Union Professional Issues Committee Ted Chambers - Co-director of 21st Century Lessons Tracy Young - Staffing Director of 21st Century Lessons Leslie Ryan Miller - Director of the Boston Public Schools Office of Teacher Development and Advancement Emily Berman- Curriculum Director (Social Studies) of 21st Century Lessons Carla Zils – Curriculum Director (Math) of 21 st Century Lessons Brian Connor – Technology Coordinator 21 st Century Lessons The people… 26