### 数学代写|数学建模代写math modelling代考|REPRESENTING PART-PART-WHOLE

statistics-lab™ 为您的留学生涯保驾护航 在代写数学建模math modelling方面已经树立了自己的口碑, 保证靠谱, 高质且原创的统计Statistics代写服务。我们的专家在代写数学建模math modelling代写方面经验极为丰富，各种代写数学建模math modelling相关的作业也就用不着说。

• Statistical Inference 统计推断
• Statistical Computing 统计计算
• (Generalized) Linear Models 广义线性模型
• Statistical Machine Learning 统计机器学习
• Longitudinal Data Analysis 纵向数据分析
• Foundations of Data Science 数据科学基础

## 数学代写|数学建模代写math modelling代考|Learning Outcome

Teacher: (Display Slide 1-1-1) How many circles are there in the first row? (Point to the first row and ask one student to answer.)
Students: 4 circles.
(If the student cannot answer, let him/her count);
Teacher: How many circles are there in the second row?
Students: Seven,
Teacher: How many circles are there in all?
Students: Eleven.
Teacher: Good. There are eleven circles altogether. If we want to express it in math language, we say: Four plus seven is eleven (” $4+7=11$ “), where 11 is the sum of 4 and $7 .$Teacher: (Give out cubes in two different colors ) First, please pick out 8 white color cubes and form a bar; Next, please pick out 5 gray color cubes and form another bar. (Monitor students’ actions; Display Slide 1-1-2.)How many cubes are there in all? We can stack the two bars together (see Slide 1-1-2-a) and find out the answer by counting them all or by using the strategy of “counting on” $(8$, then $9,10,11,12,13)$.Or we can find out the answer by using the Part-Part-Whole (PPW) Diagram Equation that we are going to learn today.

Teacher: (Display Slide 1-1-3) Let’s read it together three times: “part and part make up the whole.”
Let’s map information from the bar model to the PPW diagram equation and see how the bar model is represented by the PPW diagram equation.

## 数学代写|数学建模代写math modelling代考|Teacher points to the bar model in Slide

As 8 is one part (the white bar made of 8 cubes) and 5 is the other part (the gray bar made of 5 cubes), putting the two bars together makes up the “whole” (the long bar). The “whole” equals the sum of 5 and 8 .
(Teacher now points to the PPW diagram, the lower panel of Slide 1-1-4) Let’s fill the first box with 8 and the second box with 5 for the two parts (or two short bars), and 13 in the bigger box on the other side of the equal sign to represent the long bar, which is the whole, or sum of the two parts.

In summary, the bar model tells us that the white bar and the gray bar (two short bars) make up the long bar. The PPW diagram equation tells the same story: One part (8) and the other part (5), which represent the two short bars, make up the whole (13), which represents the long bar. In other words, $8+5=13$.

Now lets’ check to see whether the sum of the two quantities on the left side of the equal sign is the same as (or equals to) the quantity at the right side (of the equal sign).
Left side of the equation (LS): $8+5=13$,
Right side of the equation (RS): 13 .
Teacher: Does 13 “equal” or “the same as” 13 ?
Students: Yes, $13=13$.
Teacher: That means the PPW diagram equation or the statement “Part and Part make up the Whole” makes sense, and the PPW diagram equation is consistent with the bar model.
Teacher: Let’s look at Slide 1-1-5.
(Display Slide 1-1-5) There is one white bar, and one gray bar. Each represents a number. If the two numbers are 7 and 4 , which bar represents 7 ? Which bar represents 4?

## 数学代写|数学建模代写math modelling代考|Learning Outcome

Learning Outcome: & Be able to represent PPW word problem stories with the bar model and the PPW diagram equation \
Materials Needed: & Part-Part-Whole (PPW) Diagram Equation \
Dverhead Modeling & Modeling PPW story representation 1, 2, and 3 \
Student Worksheets & Modeling PPW story representation 1, 2, and 3 \
& Try It Out-PPW story representation 4,5, and 6 Independent Worksheet-PPW story representation 7,8, and 9 Reference Guide (PPW story representation 1-9) \
Reference Guide & \
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Teacher: In the last lesson, we learned that the bar model and the PPW diagram equation are telling the same story: Part and Part make up the Whole. Today we will use the bar model, and the PPW diagram equation, to represent word problems. This will help us understand more about the mathematical relation presented in word problems.

## 数学代写|数学建模代写math modelling代考|Learning Outcome

（如果学生不能回答，让他/她数数）；

## 数学代写|数学建模代写math modelling代考|Teacher points to the bar model in Slide

（教师现在指着 PPW 图，幻灯片 1-1-4 的下面板）让我们在第一个方框中填入 8，在第二个方框中填入 5 代表两个部分（或两个短条），在较大的方框中填入 13在等号的另一边代表长条，它是整体，或两部分的总和。

（显示幻灯片 1-1-5） 有一个白色条和一个灰色条。每个代表一个数字。如果这两个数字是 7 和 4 ，哪个条形图代表 7 ？哪个条形代表 4？

## 数学代写|数学建模代写math modelling代考|Learning Outcome

Dverhead Modeling & Modeling PPW 故事表示 1、2 和 3 \

& Try It Out-PPW 故事表示 4,5 和 6 独立工作表-PPW 故事表示 7,8 和 9 参考指南（PPW 故事表示 1-9 ) \

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## 有限元方法代写

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## MATLAB代写

MATLAB 是一种用于技术计算的高性能语言。它将计算、可视化和编程集成在一个易于使用的环境中，其中问题和解决方案以熟悉的数学符号表示。典型用途包括：数学和计算算法开发建模、仿真和原型制作数据分析、探索和可视化科学和工程图形应用程序开发，包括图形用户界面构建MATLAB 是一个交互式系统，其基本数据元素是一个不需要维度的数组。这使您可以解决许多技术计算问题，尤其是那些具有矩阵和向量公式的问题，而只需用 C 或 Fortran 等标量非交互式语言编写程序所需的时间的一小部分。MATLAB 名称代表矩阵实验室。MATLAB 最初的编写目的是提供对由 LINPACK 和 EISPACK 项目开发的矩阵软件的轻松访问，这两个项目共同代表了矩阵计算软件的最新技术。MATLAB 经过多年的发展，得到了许多用户的投入。在大学环境中，它是数学、工程和科学入门和高级课程的标准教学工具。在工业领域，MATLAB 是高效研究、开发和分析的首选工具。MATLAB 具有一系列称为工具箱的特定于应用程序的解决方案。对于大多数 MATLAB 用户来说非常重要，工具箱允许您学习应用专业技术。工具箱是 MATLAB 函数（M 文件）的综合集合，可扩展 MATLAB 环境以解决特定类别的问题。可用工具箱的领域包括信号处理、控制系统、神经网络、模糊逻辑、小波、仿真等。