### 数学代写|数学建模代写math modelling代考|SOLVING ADDITIVE COMPARE PROBLEMS

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• 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|COMPS PROGRAM

Teacher: Correct! It is a comparison problem that describes one quantity as more than the other quantity.
(Teacher point to the AC Word Problem [WP] Story Grammar Poster, which is posted on the board or classroom wall throughout the lesson)

As it is a comparison problem that involves “more than” or “less than” relationships between the two quantities, we will use the AC WP story grammar poster to guide our problem representation.

So the first step is to find out the comparison sentence. Can you tell which sentence is the comparison sentence?
Students: Patrick has 72 more sports cards.
Teacher: That is correct. This comparison sentence tells us that the number of sports cards Patrick has is MORE ( 72 more) than the number of sports cards Joy has.
Let’s underline this comparison sentence (Teachers does that on the board, and the students do the same in their worksheet)

What is the difference between the number of cards Patrick has and the number of cards that Joy has?
Students: Patrick has more than Joy, and the difference between the two is ” 72 .”
Teacher: Let’s write the difference amount in the PPW diagram (teacher presents the PPW diagram on board, and asks a student volunteer to write the difference amount [i.e.,” “72”] in the 2 nd small box labeled “difference”).

Teacher: According to the comparison sentence: “Patrick has 72 more sports cards than Joy,” let’s name the bigger box and the smaller box either Joy or Patrick. Everyone, “who has more and who has less?”
Students: Patrick has more and Joy has less.
Teacher: Super! I will ask a volunteer to name the smaller box and bigger box on the PPW diagram.
(Teacher asks a volunteer to name the bigger box [i.e., Patrick] and the smaller box [i.e., Joy] on the board in the PPW diagram. See Slide 4-6-3-a)

Teacher: We have done the first step in the AC Word Problem (WP) Story Grammar poster. I will check off the first box. The rest of the steps are very straight forward. Once you have defined the bigger and smaller quantity based on “the more or less” relationship, all you need to do is to find the bigger quantity and the smaller quantity and write them in corresponding boxes in the diagram.

## 数学代写|数学建模代写math modelling代考|DIRECTIONS FOR TRY-IT-OUT AND INDEPENDENT

In worksheets below, you will use the PPW diagram equation to represent and solve the problems. The AC Problem Story Grammar prompt card (see Figure $3-5$ in Unit 3 , page 67 ) can be used to guide your problem solving process.

After you read and understand the story, if it is an additive comparison (AC) problem (see definition of AC problem in Figure 3-5 in page 67), you will find the comparison sentence that tells who has more (or less) and how many more (or less). Underline the comparison sentence as the comparison sentence is where you will decide who has more (or the bigger quantity) and who has less (or the smaller quantity). It will be helpful if you name the bigger box and smaller box in the diagram so that you make sure the bigger quantity goes into the big box on one side of the equation, and

the smaller quantity goes into the smaller box on the other side of the equation next to the difference quantity box.

You will use the letter ” $a$ ” to represent the unknown quantity (in fact, you can choose to use any letter to represent the unknown quantity). In the last step, you will solve for the unknown quantity and check for the accuracy of your answer. You can do this by checking whether the sum on the left side of the equation equals the value on the right side of the equation.
Unit 4: Try it out Worksheet -AC Problem Solving 5 \& 6
(Note: Suggested diagram equation representation is presented in the parentheses following each of the problems)

1. Phillip has 64 worms. Phillip has 34 more worms than Harley. How many worms does Harley have? $(a+34=64)$
2. Lucas has 30 stamps. He has 44 fewer stamps than Ben. How many stamps does Ben have? $(30+44=a)$
Unit 4: Independent Worksheet -AC Problem Solving 7, 8 \& 9
3. Adriana has 70 cows. Michelle has 75 more cows than Adriana. How many cows does Michelle have $(70+75=$ a)
4. Rodolfo has 79 glue sticks. Felipe has 38 glue sticks. How many more glue sticks does Rodolfo have than Felipe? $(38+a=79)$
5. Marlene has 49 fewer shirts than Jack. Jack has 96 shirts. How many shirts does Marlene have? $(a+49=96)$

## 数学代写|数学建模代写math modelling代考|SOLVING MIXED PPW AND AC PROBLEMS

$\begin{array}{ll}\text { Learning outcome: } & \begin{array}{l}\text { Be able to solve mixed PPW and AC word problems with } \ \text { the diagram equations }\end{array} \ \begin{array}{ll}\text { Materials Needed: }\end{array} & \begin{array}{l}\text { Part-Part-Whole (PPW) Diagram Equation } \ \text { Diagrams }\end{array} \ \text { Posters } & \text { PPW and AC WP Story Grammar Posters } \ \text { Overhead Modeling } & \text { Modeling PPW and AC Problem Solving 1, 2,3, and } 4 \ \text { Student Worksheets } & \text { Modeling PPW and AC Problem Solving 1,2,3, and } 4 \ & \text { Try-It-Out-mixed PPW and AC problem solving } \ & 5 \text { \& } 6 \ \text { Independent worksheet- mixed PPW and AC problem } \ \text { solving } 7,8,9, \& 10 \ \text { Reference Guide -mixed PPW and AC problem solving } \ \text { Reference Guide } & \begin{array}{l}1-10 .\end{array}\end{array}$
Teacher: In units 1, 2 and 3, we learned how to represent and solve Part-PartWhole (PPW) problems. We discovered that the bar model and the PPW diagram equation are telling the same stories. That is, Part and Part makes up the Whole or total (teacher can use both the bar model and the PPW diagram equation to explain).

Given the PPW problem structure, some types of problems will ask us to solve for the total, while others will ask us to solve for one of the parts (that make up the whole). Table 5-7-a presents variations of PPW problem construction (with the same story context) and its corresponding diagram representation, where letter ” $a$ ” represents the unknown quantity.

In Units 3 and 4 , we learned how to represent and solve comparison problems that involve “more than’ or “less than” relations. The two parts in the part-partwhole diagram are the Smaller quantity and the Difference quantity (between the two quantities being compared). The smaller quantity and the difference quantity together make up the bigger quantity (the whole).

## 数学代写|数学建模代写math modelling代考|COMPS PROGRAM

（教师指向 AC Word Problem [WP] Story Grammar Poster，该海报在整个课程中都张贴在黑板上或教室墙上）

（教师让志愿者说出 PPW 图中黑板上较大的方框 [即 Patrick] 和较小的方框 [即 Joy]。见幻灯片 4-6-3-a）

## 数学代写|数学建模代写math modelling代考|DIRECTIONS FOR TRY-IT-OUT AND INDEPENDENT

（注意：建议的图表方程表示在每个问题后面的括号中）

1. 菲利普有 64 条蠕虫。菲利普的蠕虫比哈雷多 34 条。哈雷有多少条虫子？(一种+34=64)
2. 卢卡斯有 30 枚邮票。他的邮票比本少 44 枚。本有多少张邮票？(30+44=一种)
单元 4：独立工作表 -AC 问题解决 7、8 \& 9
3. 阿德里安娜有 70 头奶牛。米歇尔的奶牛比阿德里安娜多 75 头。米歇尔有多少头奶牛(70+75=一种）
4. Rodolfo 有 79 根胶棒。费利佩有 38 根胶棒。Rodolfo 的胶棒比 Felipe 多多少？(38+一种=79)
5. 马琳的衬衫比杰克少 49 件。杰克有 96 件衬衫。马琳有几件衬衫？(一种+49=96)

## 数学代写|数学建模代写math modelling代考|SOLVING MIXED PPW AND AC PROBLEMS

学习成果：  能够解决混合的 PPW 和 AC 单词问题   图方程   所需材料：  部分-部分-整体 (PPW) 图方程   图表   海报  PPW 和 AC WP 故事语法海报   架空建模  建模 PPW 和 AC 问题解决 1、2、3 和 4  学生工作表  建模 PPW 和 AC 问题解决 1、2、3 和 4  Try-It-Out-mixed PPW 和 AC 问题解决方案  5 \& 6  独立工作表 – 混合 PPW 和 AC 问题   解决 7,8,9,&10  参考指南 – 混合 PPW 和 AC 问题解决   参考指南 1−10.

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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。