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自定進度的比率和比例(5-8 年級)- 重要的、有意義的策略!

在這門自定進度的課程中,您的學生將透過參與建構所有年級成功所需的意義建構和模式識別活動,掌握比率、單位比率、比例和編寫方程式的概念。
superteacherguy Sean Berg, M. Ed
平均評分:
4.9
評論數量:
(55)
班級
玩

包含什麼

4 預錄課程
每段影片平均 31 分鐘
4 週
教師的支持
2 小時 4 分鐘
影片總學習時數
1 年訪問權
到內容
作業
每週 1 小時. After each class learners will be given a packet of practice problems that directly relate to the lesson taught. This homework should take approximately 30 minutes to 1 hour. I will have videos that explain in detail each homework problem!
評估
Learners submit each homework packet before I provide the 'answers' video. I will provide written feedback for each homework assignment. There will also be a final optional assessment for your student.
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課堂經歷

英語程度 - B1
美國 5 - 8 年級
💯 If you have made it this far you must be interested in having your student learn ratios and proportions in ways that make sense and generate understanding that goes above and beyond what is taught in a typical middle school classroom! The connections and patterns taught in this self-paced class are so important. They connect ratios to previous understanding (equivalent fractions) and to future understanding (linear equations). This class is taught in four 15-20 minute videos along with three extra videos that clearly model and work out the homework. 
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During the four weeks your student will be taught the following important ("Major Work" for 6th & 7th grade) standards.

Math Common Core Standards Met:
6.RP.A Understand ratio concepts and use ratio reasoning to solve problems
-- 6.RP.A.1 Understand the concept of ratio and use ratio language to describe a ratio relationship between two quantities
-- 6.RP.A.2 Understand the concept of a unit rate
-- 6.RP.A.3 Use ratio and rate reasoning to solve real-world and mathematical problems, e.g., by reasoning about tables of 
                   equivalent ratios and double number line diagrams
7.RP.A Analyze proportional relationships and use them to solve real-world and mathematical problems
-- 7.RP.A.1 Compute unit rates associated with ratios of fractions
-- 7.RP.A.2 Recognize and represent proportional relationships between quantities
-- 7.RP.A.2.B Identify the constant of proportionality (unit rate) in tables, graphs, diagrams, and verbal descriptions of proportional relationships.

I present tasks in a clear way and begin every lesson with a visual and concrete example. This ensures that students work with a real-world scenario to begin their learning. I also provide students with a daily organizer so that they can follow along with what is presented. This organizer becomes a set of notes that will help them understand and complete the homework. 

💯 I can provide feedback within 48 hours of receiving a request via Outschool.  
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In Summary:

👏 This class includes four videos (12-25 minutes each) where I teach via a slide deck and 'mini-movies' that illustrate topics. 

👏 This class includes three extra videos where I go over each week's homework. I am very careful to model thinking that will help your student make important connections!

👏 Each class's slide deck includes me talking in a small video window, or recordings of me at a whiteboard, so that students can really see my emotion and meaning. 

👏 Students have a class organizer for each class to write information down as it is learned. 

👏 Each class is as engaging as possible given the pre-recorded format! I spend time each class discussing patterns and sense-making strategies that help learners engage deeply with the content and questions. These same strategies are used in the homework assignments so that they 'stick!'
學習目標
6.RP.A Understand ratio concepts and use ratio reasoning to solve problems
-- 6.RP.A.1 Understand the concept of ratio and use ratio language to describe a ratio relationship between two quantities
7.RP.A Analyze proportional relationships and use them to solve real-world and mathematical problems
-- 7.RP.A.1 Compute unit rates associated with ratios of fractions
-- 7.RP.A.2 Recognize and represent proportional relationships between quantities
學習目標

教學大綱

課程
遵循 Teacher-Created 課程
標準
與 Common Core State Standards (CCSS)對齊
4 課程
超過 4 週
課 1:
Understanding Ratio Tables
 Students learn about ratio tables as we generate and use the concrete diagram model to find equivalent ratios with cups of water and spoonfuls of purple drink mix powder. We also spend time discussing why some versions of drink mixes are NOT equivalent ratios. I also reinforce the ratio values by showing batches (the original ratio as a drawing/diagram) as we find more and more equivalent ratios. 
19 分鐘的影片課程
課 2:
Connecting Ratio Tables to Double Number Lines and Proportionality Constants
 We begin a new discussion of equivalent ratios by analyzing a group of red & white gummy bears and watching as they are separated into smaller and smaller proportional groups. We record all of our data into a ratio table and then learn about double number lines. We spend the second half of class looking at the patterns in the table and double number line and how the same patterns appear in different yet related ways. Analyzing these representations leads to finding a constant of proportionality. 
34 分鐘的影片課程
課 3:
Finding and Applying Unit Rates given Any Ratio
 This class analyzes running and eating donuts IN THE SAME RACE! Fun right? We use data from this race to complete ratio tables and have an in-depth discussion of equivalent ratios and all of the patterns available to find equivalent ratios and unit rates. During this class we cover reciprocals and how they are part of each unit rate for ANY ratio. Students are given a graphic organizer that enables them to see the patterns and ask the right questions to determine if their thinking is accurate. 
42 分鐘的影片課程
課 4:
Tying it All Together with Graphing and Writing Equations
 This video will review all of the important connections that occur within ratio tables, double number lines, proportions and graphs of equivalent ratios. And while graphing our set of equivalent ratios we discover that to write a linear equation we just need to use the constant of proportionality. This idea is what leads DIRECTLY to linear equations! 
29 分鐘的影片課程

其他詳情

父母的引導和規範
There is no scary class content unless the idea of eating donuts and then running five kilometers upsets you!
先決條件
Students should be familiar with multiplication and division and understand that the two operations "undo" each other.
供應清單
Learner should have a paper, pencil and each class's printouts before beginning each class. For the third class a ruler or straight edge will be helpful.
 2 註冊後即可取得文件
已加入 March, 2023
4.9
55評論
教師檔案
教師專業知識和證書
北卡羅萊納 教學證書 在 數學
碩士 由 Johns Hopkins University
I have taught ratios to students for decades. I have seen the struggles and I have thought about how best to overcome common misconceptions and challenges. I believe that these lessons provide all of the connections, sense-making and ideas necessary to succeed in ALL middle school grades when learning ratios, unit rates and proportions.

評論

自訂進度課程
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US$15

每週或US$60 所有內容
4 預錄課程
4 教師支援週
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1 年內容存取權

有11 位學習者完成此課程
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年齡: 10-13

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