Category: Mathematics

I have attached the rubric as well.
Instructions: For this assignment, you will locate, review, summarize, and reflect upon a question related to developing expertise in early mathematics teaching. You will choose your topic and create your question. Make sure you choose something that you are passionate about, and that will help you be a more effective teacher in the classroom. Ideas include cooperative learning, differentiation, culturally responsive pedagogy, interdisciplinary curriculum, and project-based learning in early mathematics and sciences teaching and learning. The purpose of your presentation is to share what you learned.
Requirements: The presentation should be a short narrative of your journey to find the information and describe what you saw. You must use a minimum of six resources, including at least three scholarly, peer-reviewed articles and three other sources such as websites, newspaper articles, magazines, observations, and interviews. See the rubric for more detail.

Struggling with where to start this assignment? Follow this guide to tackle your assignment easily!

Writing this assignment involves locating, reviewing, summarizing, and reflecting on your research. Follow these steps to ensure a well-structured and engaging presentation:

Step 1: Choose Your Research Question

• Think about an issue in early math education that interests you.
• Frame your topic as a question (e.g., “How does project-based learning impact early math engagement?”).
• Ensure the question is broad enough for research but focused enough for meaningful insights.

Step 2: Conduct Research Using Six Sources

Your research must include:
Three scholarly, peer-reviewed journal articles (e.g., from Google Scholar, ERIC, or JSTOR)
Three additional sources (e.g., websites, interviews, newspaper/magazine articles, classroom observations)

Step 3: Summarize Key Findings

• Discuss major themes that emerge from your research.
• Compare different perspectives and studies.
• Identify best practices that can be applied in the classroom.

Step 4: Reflect on Your Learning Journey

• How has this research changed your understanding of early math education?
• What are the implications for your future teaching?
• What challenges or limitations did you encounter in your research?

Step 5: Structure Your Presentation

Your final presentation should be clear, engaging, and informative:

1. Introduction – Present your research question and why you chose it.
2. Research Journey – Explain how you found your sources and what you learned.
3. Key Findings – Summarize the most important insights from your research.
4. Personal Reflection – Describe how this learning experience has influenced your teaching perspective.
5. Conclusion – Wrap up with final thoughts and potential areas for further research.

By following this structured approach, you’ll create an insightful and well-organized presentation that effectively shares your learning experience in early mathematics teaching!

CHOOSE PROBLEM #4
Analyzing erroneous student work can improve your own understanding and ability to explain the steps for solving an equation.
For this group discussion, you will review the provided faulty solutions and hypothetical student work within your group. The seven questions address the learning objectives from Modules 1 and 2. Each group member should analyze a different question, so be sure to communicate in your group who is taking which question.
The document is hand-written, similar to the Show Work documents you are required to submit in Modules 5 and 9. If a screen-reader-accessible document is required, please refer to the following Module 2 Student Show Work Typed document.
Module 2 Student Show Work (PDF)Download Module 2 Student Show Work (PDF)
Module 2 Student Show Work Typed (DOCX)Download Module 2 Student Show Work Typed (DOCX)
Analyze the work to determine:
What error(s) did the student include?
Why the student may have made each error.
Rework the problem so that it is correct

Struggling with where to start this assignment? Follow this guide to tackle your analysis easily!

In this group discussion, you’ll need to carefully analyze the provided faulty solutions and hypothetical student work. Here’s a step-by-step guide to help you break down the process and understand how to address the errors in the student’s work effectively:

Step 1: Review the Provided Problem and Student Work

Before analyzing, make sure you understand the question and the problem that the student is trying to solve. Read through the student’s work thoroughly and pay attention to each step they took in attempting the solution.

• Understand the equation or concept involved: This is crucial to identifying where the student made the mistake.
• Focus on the student’s reasoning: What were they trying to do in each step? Did they use the correct operations or make an incorrect assumption?

Step 2: Identify the Error(s) in the Student’s Work

Examine the student’s solution to pinpoint exactly where the error occurred. Common errors can include:

• Misapplication of math rules (e.g., distributive property, factoring errors, sign errors).
• Incorrect operations (e.g., multiplying when they should add or subtract).
• Incorrect steps or skipped steps (e.g., forgetting to apply the order of operations).

Ask yourself these questions:

• What is the first step the student performed incorrectly?
• Did they make a calculation mistake?
• Did they forget a necessary step or misinterpret a rule?

Step 3: Analyze Why the Error Occurred

Reflect on why the student made the error. Errors can stem from various misunderstandings or lapses in the following:

• Misunderstanding of math concepts: They may have misunderstood the rule or operation required for that step.
• Mistakes from rushing or skipping steps: The student might have been too quick and neglected to check their work.
• Lack of familiarity with the method: The student might not have had enough practice with a particular strategy or equation-solving technique.

This step helps you understand the student’s thought process and how they arrived at the mistake.

Step 4: Rework the Problem Correctly

Now that you’ve identified and understood the error, it’s time to fix it. Here’s how you can do it:

• Follow the correct steps: Go through the solution from start to finish and apply the right methods.
• Write out every step: This will help you ensure accuracy and provide clear reasoning.
• Check the final answer: Make sure your final solution makes sense and is consistent with the rules of the problem.

For example, if the error was in simplifying an equation, walk through the correct method for simplifying and solving that equation, checking at each step for accuracy.

Step 5: Communicate the Error and Correct Approach

When sharing your analysis with the group, make sure to clearly explain:

• Where the student went wrong: Briefly explain the error.
• Why the mistake was made: Offer a reasonable explanation for the student’s error (based on the steps they took).
• How to solve it correctly: Walk through the correct process to help your group members understand how to reach the solution.

Step 6: Submit Your Work

Once you’ve reworked the problem and are confident with your analysis, compile your findings and submit them to your group or instructor according to the assignment guidelines.

The class is Math for business and social sciences.
Identify a situation from everyday life (not tied to your field) where numeracy skills are essential. Examples might include comparing prices while shopping, calculating fuel efficiency, or understanding dietary labels. Discuss the mathematical concepts you use (e.g., ratios, rates, percentages) and how they help you make decisions. Reflect on the importance of these skills in day-to-day life.

The class is Math for business and social sciences. My career choice is chemical dependence counselor. ( I don’t have an answer for this because I’m not working in the field yet nor am I working right now)
Discuss a situation where ratios, proportions, or scaling were crucial. How did you calculate and apply these concepts? What challenges did you encounter? Please be detailed and thorough.

Here’s a guide for your Math for Business and Social Sciences assignment. I’ll first create a general structure and then follow it with a step-by-step approach to help you break down the task effectively.

Struggling with where to start this assignment? Follow this guide to tackle your assignment easily!

Step 1: Understand the Core Topic
Begin by reviewing the question in detail. You’re asked to discuss a situation where ratios, proportions, or scaling were crucial. This requires you to reflect on your experiences with these concepts, either from personal, academic, or even future career aspirations.

Step 2: Choose a Relevant Example
Think about a situation in your life, even if it’s hypothetical (for example, in your future role as a chemical dependence counselor), where ratios, proportions, or scaling would apply. Perhaps you could explore the use of ratios when adjusting medication doses based on a patient’s weight or when scaling treatment plans. Be sure to pick an example where the concepts directly influenced outcomes.

Step 3: Explain How You Calculated and Applied the Concept
Now, describe the mathematical process. For example, if you adjusted doses based on weight, explain how you used ratios (e.g., milligrams per kilogram) to make your calculations. Detail the formula or process you followed to determine the correct dosage, emphasizing any necessary conversions, the relationship between the quantities, and how you ensured accuracy.

Step 4: Address the Challenges You Encountered
After explaining the calculations, discuss any difficulties. Did you encounter rounding errors, misinterpretation of proportions, or complications from variable factors like patient condition? These insights are key to demonstrating your understanding and problem-solving abilities.

Step 5: Conclude by Reflecting on the Importance of the Concept
Wrap up by considering the broader impact of using ratios, proportions, and scaling in real-life scenarios. Reflect on why understanding these mathematical concepts is vital in your current or future role. For example, you can discuss how precise calculations ensure safety and effectiveness in medical treatments, potentially linking to your aspiration as a chemical dependence counselor.

Homework Assignment 1 Complete the following problems from the Introductory Statistics textbook. Make sure to attach your last name to the file name when uploading. Show all work, and label each problem clearly. You should copy/paste images or pictures into the document directly (i.e. don’t send several image files), and should attach any excel files/separate graphs along with this document. Name any additional files clearly (i.e., what homework and problems are in there, along with your last time). Chapter 1 (pp. 60-68 of the PDF, pages 52-60 of the textbook itself) #42, 48, 52, 54, 56, 72, 78, 88 The document below contains these instructions as well. You can complete the problems in the document below and upload the file, and/or complete it via handwritten pages (and then upload pictures/scans). Homework Assignment 2 Complete the following problems from the Introductory Statistics textbook. Make sure to attach your last name to the file name when uploading. Show all work and label each problem clearly. You should copy/paste images or pictures into the document directly (i.e. don’t send several image files), and should attach any excel files/separate graphs along with this document. Name any additional files clearly (i.e. what homework and problems are in there, along with your last time). Chapter 2 (pp. 147-168 of the PDF, pp. 139-160 of the textbook itself) #74, 78, 79, 80, 84, 100 Homework Assignment 3 Complete the following problems from the Introductory Statistics textbook. Be sure to attach your last name to the file name when uploading. Show all work and label each problem clearly. You should copy/paste images or pictures into the document directly (i.e. don’t send several image files), and should attach any excel files/separate graphs along with this document. Name any additional files clearly (i.e. what homework and problems are in there, along with your last time). Chapter 3 (pp. 228-240 of the PDF; pp. 220-232 of the textbook itself) #80, 90, 116, 122

In this worksheet you will need to answer each question fully and showing all work. Then use your findings to write your 2 page report on your findings.
Research jobs using your degree and identify a job you would be interested. Use a website like Glassdoor.com to determine the salary for the job you are interested in. Then Find out what the hourly pay amount based on what is given. Be sure to cite your source in the worksheet and in your report.
Write an equation to express how much money you would make if you worked h hours. Where I equals income:
Would you consider your income to be a positive or a negative integer? Why?
How many hours would you need to work to earn $400 per week (assume overtime is paid at the regular hourly rate)?
Now let’s assume that your car is currently paid off but you have to pay gas and budget for driving to and from your new job. Find out the local gas price and write an equation to describe the price of gas for g gallons. Where M is the amount of money you spend on gas each week. Estimate the mileage to your new job each week and explain what the weekly gas cost would be for your budget.
Would the gas cost be considered a positive or a negative integer? Why?
Write an expression that calculates your weekly balance in your account based on a 40 hour work week and accounting for the gas amount. Show integers as positive or negative.
Now determine your monthly gas cost for your trip to work. To do this assume there are 4 weeks in a month, and be sure to use positive or negative integers as needed. Show all work!
Identify other expenses that you may have such as rent, utilities, etc. Estimate amounts for these and complete a monthly budget showing your balance at the end of the month with all income and expenses accounted for.
Use the information you found in items 1-9 to write up your report. Start your report with an introductory paragraph on positive and negative integers. Be sure to explain why it is important to identify numbers as positive or negative when working with a budget. Then in the body of your report explain your findings in 1-9. Last in a conclusion paragraph explain what this exercise has taught you about your finances after graduation and how integers are used in everyday life.

In this worksheet you will need to answer each question fully and showing all work. Then use your findings to write your 2 page report on your findings.
Research jobs using your degree and identify a job you would be interested. Use a website like Glassdoor.com to determine the salary for the job you are interested in. Then Find out what the hourly pay amount based on what is given. Be sure to cite your source in the worksheet and in your report.
Write an equation to express how much money you would make if you worked h hours. Where I equals income:
Would you consider your income to be a positive or a negative integer? Why?
How many hours would you need to work to earn $400 per week (assume overtime is paid at the regular hourly rate)?
Now let’s assume that your car is currently paid off but you have to pay gas and budget for driving to and from your new job. Find out the local gas price and write an equation to describe the price of gas for g gallons. Where M is the amount of money you spend on gas each week. Estimate the mileage to your new job each week and explain what the weekly gas cost would be for your budget.
Would the gas cost be considered a positive or a negative integer? Why?
Write an expression that calculates your weekly balance in your account based on a 40 hour work week and accounting for the gas amount. Show integers as positive or negative.
Now determine your monthly gas cost for your trip to work. To do this assume there are 4 weeks in a month, and be sure to use positive or negative integers as needed. Show all work!
Identify other expenses that you may have such as rent, utilities, etc. Estimate amounts for these and complete a monthly budget showing your balance at the end of the month with all income and expenses accounted for.
Use the information you found in items 1-9 to write up your report. Start your report with an introductory paragraph on positive and negative integers. Be sure to explain why it is important to identify numbers as positive or negative when working with a budget. Then in the body of your report explain your findings in 1-9. Last in a conclusion paragraph explain what this exercise has taught you about your finances after graduation and how integers are used in everyday life.

I need help with a discrete math exam. Must be able to answer questions using codio.
Important Info

The order was placed through a short procedure (customer skipped some order details).
Please clarify some paper details before starting to work on the order.

Type of paper and subject
Number of sources and formatting style
Type of service (writing, rewriting, etc)

College Math Topics Mid-Term Project: Part One

The goal of College Math Topics is to make mathematics real for you, the student. You will be graded on correctness, quality of work, and effort. Everything should be typed and look professional in a Google Slides or Powerpoint document (grammar/spelling errors will be non-existent). Color pictures are required, everything you turn in should look good. For each part, be sure to answer all the questions in sentence form. This is good training for creating a presentation for a job, where the presentation can be more important than the information being presented

FINDING A JOB, CAR AND HOME
SECTION 1:
Find your job. You are getting an education for a reason…to get a job or to get a different job than you already have. Describe the job you would like to have when you graduate. Tell me how much your job pays in the area you want to live, how you determined this (use the internet, most jobs you should be able to google in an area.), and why you want to do this for a living. You can take this as far as you want, but please, for your sake, be realistic. You will probably not make over $150,000 your first year out of college, and for some careers it might be more like $30,000. In conclusion, determine what your monthly salary would be. If you don’t want to live in the DMV, you should tell me this and adjust your salary and all other monetary figures accordingly to the place you want to live. [EX: $60,000 per year or $5,000 per month.]
Summary of section:
Describe job you want after College (or High School if that is your plan)
Tell me how much you will make in the area you want to live in.
Tell me how you found out the pay (give me a link to a website), and why you want to live where you choose to live
Tell me your yearly and monthly salary
SECTION 2:
Calculate your taxes. Now that you have a job, let’s figure out how much you are going to be taking home with each paycheck. We need to figure out how much will be taken out in taxes, then divide your total net pay by 26 (most jobs give 26 paychecks in a year).
Summary of section:
Tell me which tax bracket (the tax rate %) you are in based on the Federal Tax Brackets. You can find these brackets by googling it.
Tell me which state you plan to live in and say which tax bracket you are in for that state (if the state has no income tax, please say that)
Use this website to calculate how much of your gross income would be taken out in taxes.
Specify how much is taken out for Federal, State, and FICA (Social Security and Medicare).
Take the amount of income you have left over and divide by 26. This number is how much you are getting in each of your paychecks (roughly)

SECTION 3:
Find your car. Now we need to find you some transportation, you must determine what type of vehicle you will drive. Even if you have a car right now, assume you will be getting a new one. Find the vehicle you want to drive for sale on the internet, insert a picture, insert a link to the sale of the car, and include a description of the car.
You must calculate the costs of buying and owning a car such as:
Cost of a car loan
Insurance
Car Taxes
License and Registration
Cost of gas per year
Summary of section:
State which car you will purchase, include a link to the ACTUAL car you plan to buy.
Include a picture of the car
Include a description of the car
State the interest you will get on your loan and how many months the loan will be.
Go to this website and calculate how much your monthly payment will be for your car
Show your calculations for the cost of each of the other parts of owning a car (Insurance, Taxes, etc…)
SECTION 4:
Home Affordability. Next, you’ll need to determine how much you could afford as a monthly payment for a house. This monthly amount is based on your monthly salary from #1. FHA loans have a maximum of 43% of your gross monthly income that can go to any loan obligation. This does not count utilities, cable, phone, TV, etc. Further, the ratio of house payment to gross monthly income can’t exceed 31%. Let’s find how much you could afford per month. We are going to look at what other expenses you will have to pay. These will include things like:
– Cost of car per month
– Cost of food per month
– Cost of phone and etc per month
Step 1: List out your expenses (First Slide)
The following is an example of what your table should look like
Example:
Type
Monthly Payment
Cost of Food
$300.00
Phone
$150.00
Car Payment from (2)
$203.96
Totals
$653.96
Step 2: Calculate projected house (Second Slide)
Using the example above, the monthly salary is $5,000 before taxes. So we are going to try two different methods
Part One:
(A) Multiply the gross monthly salary by 43% to get $5,000 × 0.43 = $2,150. Subtract all loans and monthly obligations: $2,150 – $653.96 = $1,496.04.
Part Two:
(B) Multiply 31% by the gross monthly salary to get $5,000 × 0.31 = $1,550.
Part Three:
Compare the numbers you got in Part 1 and Part 2:
Part 1: $1,496.04
Part 2: $1,550
We need to choose the smaller one which is $1,496.04.
Part Four:
The home that you can shop for will be about 150 times this number then divided by 0.9 for estimated down payment
Example: $1,496.94 × 150 = $224,541
224,541 ÷ 0.90 = $249,490.00.
$249,490.00 is the estimate for how much you can afford for a house.

SECTION 5:
Find your home and home price. Using the amount you found above, search for a house online. Include a picture and description; Zillow.com is a pretty good place to start. Include at least a paragraph about why you like it, what features you enjoy, and how well it fits your budget.
Summary of Section:
Find a house online around the price range you calculated.
Include a link to the house, some pictures of the house (from the link) along with some basic information about the house on your slide
At least a paragraph explaining why you want this house

Final Project Summary
Title Slide
Section 1 needs at least one slide + a link
Section 2 needs at least one slide + use the website (can take a picture of output from the website)
Section 3 needs at least two slides + use the website (One slide to show your car + picture + description, and another slide to show all the costs)
Section 4 needs at least two slides (One slide to show your costs in a table, and one slide to show your calculations for estimated house price)
Section 5 needs at least two slides (One slide to show pictures, link, and basic description, and another slide to explain why you want the house)
Your project should be:
Organized
Include all the information I am asking for
Look clean, with pictures or links included when needed
Have effort put into the overall look of the project

College Math Topics Mid-Term Project: Part One

The goal of College Math Topics is to make mathematics real for you, the student. You will be graded on correctness, quality of work, and effort. Everything should be typed and look professional in a Google Slides or Powerpoint document (grammar/spelling errors will be non-existent). Color pictures are required, everything you turn in should look good. For each part, be sure to answer all the questions in sentence form. This is good training for creating a presentation for a job, where the presentation can be more important than the information being presented

FINDING A JOB, CAR AND HOME
SECTION 1:
Find your job. You are getting an education for a reason…to get a job or to get a different job than you already have. Describe the job you would like to have when you graduate. Tell me how much your job pays in the area you want to live, how you determined this (use the internet, most jobs you should be able to google in an area.), and why you want to do this for a living. You can take this as far as you want, but please, for your sake, be realistic. You will probably not make over $150,000 your first year out of college, and for some careers it might be more like $30,000. In conclusion, determine what your monthly salary would be. If you don’t want to live in the DMV, you should tell me this and adjust your salary and all other monetary figures accordingly to the place you want to live. [EX: $60,000 per year or $5,000 per month.]
Summary of section:
Describe job you want after College (or High School if that is your plan)
Tell me how much you will make in the area you want to live in.
Tell me how you found out the pay (give me a link to a website), and why you want to live where you choose to live
Tell me your yearly and monthly salary
SECTION 2:
Calculate your taxes. Now that you have a job, let’s figure out how much you are going to be taking home with each paycheck. We need to figure out how much will be taken out in taxes, then divide your total net pay by 26 (most jobs give 26 paychecks in a year).
Summary of section:
Tell me which tax bracket (the tax rate %) you are in based on the Federal Tax Brackets. You can find these brackets by googling it.
Tell me which state you plan to live in and say which tax bracket you are in for that state (if the state has no income tax, please say that)
Use this website to calculate how much of your gross income would be taken out in taxes.
Specify how much is taken out for Federal, State, and FICA (Social Security and Medicare).
Take the amount of income you have left over and divide by 26. This number is how much you are getting in each of your paychecks (roughly)

SECTION 3:
Find your car. Now we need to find you some transportation, you must determine what type of vehicle you will drive. Even if you have a car right now, assume you will be getting a new one. Find the vehicle you want to drive for sale on the internet, insert a picture, insert a link to the sale of the car, and include a description of the car.
You must calculate the costs of buying and owning a car such as:
Cost of a car loan
Insurance
Car Taxes
License and Registration
Cost of gas per year
Summary of section:
State which car you will purchase, include a link to the ACTUAL car you plan to buy.
Include a picture of the car
Include a description of the car
State the interest you will get on your loan and how many months the loan will be.
Go to this website and calculate how much your monthly payment will be for your car
Show your calculations for the cost of each of the other parts of owning a car (Insurance, Taxes, etc…)
SECTION 4:
Home Affordability. Next, you’ll need to determine how much you could afford as a monthly payment for a house. This monthly amount is based on your monthly salary from #1. FHA loans have a maximum of 43% of your gross monthly income that can go to any loan obligation. This does not count utilities, cable, phone, TV, etc. Further, the ratio of house payment to gross monthly income can’t exceed 31%. Let’s find how much you could afford per month. We are going to look at what other expenses you will have to pay. These will include things like:
– Cost of car per month
– Cost of food per month
– Cost of phone and etc per month
Step 1: List out your expenses (First Slide)
The following is an example of what your table should look like
Example:
Type
Monthly Payment
Cost of Food
$300.00
Phone
$150.00
Car Payment from (2)
$203.96
Totals
$653.96
Step 2: Calculate projected house (Second Slide)
Using the example above, the monthly salary is $5,000 before taxes. So we are going to try two different methods
Part One:
(A) Multiply the gross monthly salary by 43% to get $5,000 × 0.43 = $2,150. Subtract all loans and monthly obligations: $2,150 – $653.96 = $1,496.04.
Part Two:
(B) Multiply 31% by the gross monthly salary to get $5,000 × 0.31 = $1,550.
Part Three:
Compare the numbers you got in Part 1 and Part 2:
Part 1: $1,496.04
Part 2: $1,550
We need to choose the smaller one which is $1,496.04.
Part Four:
The home that you can shop for will be about 150 times this number then divided by 0.9 for estimated down payment
Example: $1,496.94 × 150 = $224,541
224,541 ÷ 0.90 = $249,490.00.
$249,490.00 is the estimate for how much you can afford for a house.

SECTION 5:
Find your home and home price. Using the amount you found above, search for a house online. Include a picture and description; Zillow.com is a pretty good place to start. Include at least a paragraph about why you like it, what features you enjoy, and how well it fits your budget.
Summary of Section:
Find a house online around the price range you calculated.
Include a link to the house, some pictures of the house (from the link) along with some basic information about the house on your slide
At least a paragraph explaining why you want this house

Final Project Summary
Title Slide
Section 1 needs at least one slide + a link
Section 2 needs at least one slide + use the website (can take a picture of output from the website)
Section 3 needs at least two slides + use the website (One slide to show your car + picture + description, and another slide to show all the costs)
Section 4 needs at least two slides (One slide to show your costs in a table, and one slide to show your calculations for estimated house price)
Section 5 needs at least two slides (One slide to show pictures, link, and basic description, and another slide to explain why you want the house)
Your project should be:
Organized
Include all the information I am asking for
Look clean, with pictures or links included when needed
Have effort put into the overall look of the project