Mathematical Applications in Human Services

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  • Lesson Identification and TEKS Addressed

    Cluster : Human Services

    Course : Practicum in Human Services

  • TEKS Student Expectations

    • (3) The student uses business tools or procedures to create human services information and facilitate client interactions. The student is expected to:
      • (A) manage numerical information such as using a calculator to add, subtract, multiply or divide accurately
      • (B) perform complex calculations accurately
      • (C) use appropriate electronic resources to access current information
  • Basic Direct Teach Lesson

    Instructional Objectives

    Students will:

    • investigate mathematical applications in human services
    • evaluate numerical information
    • summarize the application of current technology to manage numerical information
  • Rationale

    Script:

    Mathematics is the language of science and engineering. We use it on a daily basis; from paying for a purchase to earning income at a workplace. In preparation for careers in the field of Human Services, this lesson will provide an excellent opportunity to better understand the use and application of mathematics in the workplace.

  • Duration of Lesson

    Three 45 minute class periods

  • Word Wall

    The terms and definitions to be used with this lesson will be generated by the students. Terms that may be addressed include:

    Calculations:

    Budgetary:

    Electronic resources:

    Numeracy:

    Probability:

    Solution:

    Technology:

  • Materials/Specialized Equipment Needed

    Equipment:

    • computer with projector for PowerPoint™ presentation
    • computers with Internet access (be sure to follow district guidelines)

    Materials:

    • cardstock
    • container

    Supplies:

    • adding machine
    • calculator
    • calculator rolls
    • cash register
    • budget planner software
    • business finance software
    • play money (may be purchased at a dollar store)

    Other appropriate lessons

    Show Me the Money! Budgeting and Forecasting Revenues
    Hotel Management
    http://cte.sfasu.edu/lesson-plans/show-me-the-money-budgeting-and-forecasting-revenues/

    Managing Your Paycheck
    Practicum in Culinary Arts
    http://cte.sfasu.edu/lesson-plans/managing-your-paycheck/

    Measurements Matter!
    Food Science
    http://cte.sfasu.edu/lesson-plans/measurement-matters/

    • copies of handouts (see All Lesson Attachments tab)
  • Anticipatory Set

    Prior to class:

    Display as many of the lesson-related supplies (see Materials or Specialized Equipment Needed) that you have available on a table. Terms related to the lesson can also be part of the display.

    Script:

    Look at the items on the table. How would you use the items for mathematical applications in Human Services?

    Allow time for class discussion.

    Distribute the Anticipation Guide – Mathematical Applications in Human Services (see All Lesson Attachments tab) handout prior to viewing the PowerPoint™. Prior to the start of this lesson, the students will read each statement and place a check mark by each statement they THINK is true. After they have answered each statement, students are to put the handout away for later use during Lesson Closure.

  • Direct Instruction with Special Education Modifications/Accommodations

    Note to teacher: Prior to beginning this lesson, please review, preview and select the appropriate multimedia for your classes.

    Introduce lesson objectives, terms and definitions.

    Distribute the I Want to Know – Note-taking (see All Lessons Attachment tab) handout. Teacher will determine the notes to be recorded by students. Inform students that they will be expected to take notes and participate in discussions while viewing the slide presentation.

    NOTE TO TEACHER: The purpose of this lesson is to provide students with a model for investigating mathematical applications in the field of Human Services. The sole purpose of the slide presentation is to assist them in developing the type of questions they would like answered. Learning will be completely student led.

    Introduce slide presentation Mathematical Applications in Human Services (see All Lesson Attachments tab) and lead brainstorming as slides are viewed. Presentation Notes for Mathematical Applications in Human Services (see All Lesson Attachment tabs) have been provided to assist with dialog during the presentation. Allow time for student questions and discussion.

    Video included in the slide presentation:

    • We Use Math – Introduction
      Meet professionals from a number of exciting fields who use mathematics in their jobs every day.
      https://youtu.be/aYIv4jggQJc

    Individual Education Plan (IEP) for all special education students must be followed. Examples of accommodations may include, but not limited to:

    • checking for understanding
    • providing assistance with note-taking
    • providing a peer to read materials
    • providing a copy of slide presentation with highlighted words and definitions

  • Guided Practice with Special Education Modifications/Accommodations

    Prior to activity:

    Note to teacher: Print the teacher resource, Human Services Career Cards (see All Lesson Attachments tab) on card stock and cut apart so that one student from each group draws a card for the project. Place cards in a container.

    After viewing slide presentation, divide the class into subgroups of three or four.

    Using the teacher resource, Human Services Career Cards (see All Lesson Attachments tab), have one student from each group draw a card from a container. The selected card will determine the career the students will focus on during the project. Blank cards are available for other careers.

    Scenario: During a field trip, you and your classmates attend a community job fair event. Many Human Services-related occupational careers are represented at the job fair. Upon returning to the classroom, your teacher assigns a group project to determine mathematical applications in Human Services.

    Distribute the handout Career and Mathematical Application Investigation Project (see All Lesson Attachments tab). As a group, students will create and present a 5 to 7 minute oral presentation to the class, using at least one prop. The presentation must include information about mathematics is used and applied within the career they selected. The conclusion will include a demonstration of at least one way in which mathematics is used in their Human Services career.

    Distribute and review Rubric for Oral Presentation (see All Lesson Attachments tab) prior to the start of the assignment so that students are aware of assessment procedures.

    Keep students focused and on task. Provide assistance if needed.

    Based on student findings, as a class, determine terms and definitions for lesson word wall. A word cloud program such as one below may created with the selected terms and definitions. View the teacher resource Example of Wordle (see All Lesson Attachments tab) for ideas.

    Individual Education Plan (IEP) for all special education students must be followed. Examples of accommodations may include, but not limited to:

    • checking for understanding
    • providing a peer to read materials
    • providing oral responses

  • Independent Practice/Laboratory Experience with Special Education Modifications/Accommodations

    Students will continue working on project introduced in Guided Practice.

    Monitor and guide students as they work independently researching and collecting information for their projects. Student presentations will occur when projects have been completed.

    Individual Education Plan (IEP) for all special education students must be followed. Examples of accommodations may include, but not limited to:

    • checking for understanding
    • shortened, simplified instructions
    • providing oral responses

  • Lesson Closure

    Review objectives, terms, and definitions.

    Re-distribute the graphic organizer Anticipation Guide for Mathematical Applications in Human Services (see All Lesson Attachments tab) used in the Anticipatory Set and allow students to revisit each statement. Students are to respond to the statements again in the after (right hand) column by placing a check mark by the statements they now know to be true on the right side column. (Key) Anticipation Guide for Mathematical Applications in Human Services (see All Lesson Attachments tab) has been provided for your use. As class, compare the two sets of answers.

    Allow for questions and class discussion. Check for understanding.

  • Summative/End of Lesson Assessment with Special Education Modifications/Accommodations

    Projects will be assessed the appropriate rubric.

    Individual Education Plan (IEP) for all special education students must be followed. Examples of accommodations may include, but not limited to:

    • checking for understanding
    • shortened assignment
    • providing extra time
    • providing oral responses

  • References/Resources

    Images:

    • Photos obtained through a license with Shutterstock.com™.

    Websites:

    • Why Must I Learn Math?
      Mathematics is no longer just a subject taken by the elite. Now it has rightfully become a staple in our educational systems even though it is not appreciated by many people until it is needed.
      http://www.mathguide.com/issues/whymath.html#8

    YouTube™:

    • We Use Math – Introduction
      Meet professionals from a number of exciting fields who use mathematics in their jobs every day.
      https://youtu.be/aYIv4jggQJc
  • Additional Required Components

    English Language Proficiency Standards (ELPS) Strategies

    • word wall
    • draw visual representation of term on word wall
    • add terms and definitions to personal dictionary
    • check for understanding
    • students repeat instructions
  • College and Career Readiness Connection

    AchieveTexas Career Cluster Crosswalks

    The Career Cluster Crosswalks housed on the AchieveTexas website http://www.achievetexas.org/index.html provide Texas teachers with a direct connection between their CTE course TEKS and the College and Career Readiness Standards (CCRS). Language Arts, Mathematics, Science, Social Studies, and Cross-Disciplinary integration are the focus of the CCRS. These college and career readiness standards are essential in the planning and delivery of CTE lessons. The extent to which the integration occurs is determined by the methods and strategies utilized by each teacher.

    Career Cluster Crosswalks for Education and Training, Hospitality and Tourism, and Human Services Career Clusters can be found at:
    http://www.achievetexas.org/Career%20Cluster%20Crosswalks.htm

  • Recommended Strategies

    Reading Strategies

    Current Events:
    Assign students to read about the importance of mathematical applications at the workplace. Information can be found in newspaper articles, magazines, journals and online print.
    Suggestions:

    • Literacy, Numeracy, and Problem Solving in Technology Rich Environments Among U.S. Adults:
      Results from the Program for the International Assessment of Adult Competencies 2012
      http://nces.ed.gov/pubs2014/2014008.pdf

    Reading Strategies
    Allow students to utilize Word Attack Strategies with this or any other topic related article.
    Prior to reading, allow students to skim the passage or text, circling words that are unfamiliar to them. Once these words are decoded (glossary, dictionary, dictionary.com, classroom discussion), students will have a better understanding of the pronunciation and meaning of the unfamiliar word(s), facilitating comprehension.

  • Quotes

    Without mathematics, there’s nothing you can do. Everything around you is mathematics. Everything around you is numbers.
    -Shakuntala Devi

    Mathematics is the most beautiful and most powerful creation of the human spirit.
    -Stefan Banach

    Mathematics as an expression of the human mind reflects the active will, the contemplative reason, and the desire for aesthetic perfection. Its basic elements are logic and intuition, analysis and construction, generality and individuality.
    -Richard Courant

    For the things of this world cannot be made known without a knowledge of mathematics.
    -Roger Bacon

  • Multimedia/Visual Strategies

    PowerPoint™:

    • Mathematical Applications in Human Services
    • Presentation notes for Mathematical Applications in Human Services

    Technology:

    • TedxTalk:
      • How algorithms shape our world – Kevin Slavin
        Kevin Slavin argues that we’re living in a world designed for — and increasingly controlled by — algorithms. In this riveting talk from TEDGlobal, he shows how these complex computer programs determine espionage tactics, stock prices, movie scripts, and architecture. Slavin also warns that we are writing code we can’t understand with implications we can’t control.
        http://ed.ted.com/lessons/kevin-slavin-how-algorithms-shape-our-world

    YouTube™:

    • We Use Math – Introduction
      Meet professionals from a number of exciting fields who use mathematics in their jobs every day.
      https://youtu.be/aYIv4jggQJc

    Files for downloading:

  • Graphic Organizers/Handout

    Graphic Organizer:

    • I Want to Know – Note-taking

    Handouts:

    • Anticipation Guide – Mathematical Applications in Human Services
    • Anticipation Guide (Key) – Mathematical Applications in Human Services
    • Career and Mathematical Application Investigation Project
    • Example of Wordle
    • Human Services Career Cards
    • Rubric for Oral Presentation

    Files for downloading:

  • Writing Strategies

    Journal Entries:

    • Mathematical applications in the field of Human Services can include _____________________.
    • Mathematics at the workplace is _____________________________.
    • I can improve my math skills by ______________________________.

    Writing Strategy:

    • RAFT (Role/Audience/Format/Topic) writing strategy:
      Role: Business owner
      Audience: Employee
      Format: Memo
      Topic: Application of mathematical skills at the workplace
  • Communication 90 Second Speech Topics

    • Mathematical applications in the field of Consumer Services can include ___________________.
    • Mathematical applications in the field of Early Childhood Development and Services can include ___________________.
    • Mathematical applications in the field of Counseling and Mental Health Services can include ___________________.
    • Mathematical applications in the field of Family and Community Services can include ___________________.
    • Mathematical applications in the field of Personal Care Services can include ___________________.
  • Other Essential Lesson Components

    Enrichment activity

    • Visit the human resources department in a human services company and go through a short training program conducted for employees regarding business tools used on the job.
    • Read the article on ecommerce trends and write down predictions for the next year. What facts can you base the predictions on? Have students write a one page paper on how ecommerce is used in the area of Human Services they are focused on. http://mashable.com/2012/07/10/ecommerce-trends/

    Human Services – Practicum in Human Services Multiple Choice Math Assessment Problems

    • (3) The student uses business tools or procedures to create human services information and facilitate client interactions. The student is expected to:
      • (A) manage numerical information such as using a calculator to add, subtract, multiply or divide accurately

    Question 1. Ryan and Sheila are preparing to get married. Sheila has a car payment of $297.00 per month, which is 9% of her monthly income. After they are married, Sheila knows that her car payment will only be 5% of their combined monthly income. How much money does Ryan make per month?
    a. $2,640.00
    b. $3,300.00
    c. $5,940.00
    d. $8,600.00

    Answer: A

    TED Talks:

    TEDx is a program of local, self-organized events that bring people together to share a TED-like experience. At a TEDx event, TEDTalks videos and live speakers combine to spark deep discussion and connection in a small group. These local, self-organized events are branded TEDx, where x = independently organized TED event.

    The video below is related to this lesson. Allow students to view the video and lead a discussion concerning the TED Talk.

    How algorithms shape our world – Kevin Slavin
    Kevin Slavin argues that we’re living in a world designed for — and increasingly controlled by — algorithms. In this riveting talk from TEDGlobal, he shows how these complex computer programs determine espionage tactics, stock prices, movie scripts, and architecture. Slavin also warns that we are writing code we can’t understand with implications we can’t control.
    http://ed.ted.com/lessons/kevin-slavin-how-algorithms-shape-our-world

  • Family/Community Connection

    • Visit the human resources department in a human services company and go through a short training program conducted for employees regarding business tools used on the job.
    • Interview a manager in a government, medical, retail or personal service business to find out how the Internet, e-commerce, video or teleconferencing and the computers are used in the business to assist customers or patients. What are the benefits, pitfalls of the Internet? Does this speed up service or care? Write a report and share it with class.
  • CTSO connection

    Family, Career and Community Leaders of America (FCCLA)

    http://texasfccla.org

    Skill Demonstration Event
    Consumer Math Challenge, an individual event, is an applied academic math test which allows participants to complete everyday consumer challenges related to Family and Consumer Sciences subject matter, including personal finance and consumer education concepts.

    STAR Events
    Applied Math for Culinary Management, an individual or team event, recognizes participants who use Family and Consumer Sciences skills to demonstrate the application of mathematical concepts in the culinary arts industry. Prior to competition, participants must prepare a folder, oral presentation and visuals. On site, participants take an applied math test and respond to a case study.

  • Service Learning Projects

    Successful service learning project ideas originate from student concerns and needs. Allow students to brainstorm about service projects pertaining to lesson. For additional information on service learning see:
    http://www.nylc.org/

    Create a brochure or poster with the information you obtained on mathematical applications in Human Services. Present and share the information to a Math class at the high school or middle school.

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