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Moving Cost Analysis

Mathematics • 20 • 1 students • Created with AI following Aligned with Common Core State Standards

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Mathematics
20
1 students
25 September 2025

Teaching Instructions

This is for a high school economics class. my Objective: Students analyze the costs of moving out, including rent, utilities, furniture and moving expenses. They compare renting and living with family. There is no live students. I want to teach vvia video with pause and engagement prompts for 20 minutes.

Overview

This 20-minute lesson engages high school economics students (grades 9-12) in analyzing and comparing the financial costs of moving out versus living with family. Using a video presentation with strategically placed pause points, students actively calculate and evaluate expenses such as rent, utilities, furniture, and moving costs. The lesson aligns with Common Core State Standards (CCSS) for Mathematics and integrates economic reasoning to promote practical financial literacy.


Common Core Alignment

  • CCSS.MATH.CONTENT.HSF.LE.A.1 – Distinguish between situations that can be modeled with linear functions and those that cannot.
  • CCSS.MATH.CONTENT.HSF.LE.A.2 – Construct linear and exponential functions and compare their properties in context.
  • CCSS.MATH.CONTENT.HSF.IF.C.7 – Graph functions expressed symbolically and show key features.
  • CCSS.MATH.CONTENT.HSN.Q.A.1 – Use units as a way to understand problems and guide the solution.
  • CCSS.MATH.CONTENT.HSN.Q.A.2 – Define appropriate quantities for descriptive modeling.

This lesson also supports financial literacy skills aligned with NGPF (Next Gen Personal Finance) objectives related to budgeting, renting costs, and cost-benefit analysis.


Learning Objectives

By the end of this lesson, students will be able to:

  • Identify and calculate major expenses involved in moving out (rent, utilities, furniture, moving services).
  • Use linear functions to model monthly renting costs and one-time moving expenses.
  • Compare total monthly costs of renting independently versus living with family.
  • Make informed financial decisions based on cost analysis and justify choices with mathematical reasoning.

Success Criteria

  • Accurately perform calculations involving multiple items with units and costs.
  • Construct and interpret a linear model representing monthly expenses.
  • Verbally or in writing, explain the cost differences between renting and staying at home with family.
  • Complete engagement activities with 80% accuracy or better on provided worksheets.

Materials Needed

  • Video presentation with narration and visuals (~12-14 mins)
  • Printable / digital worksheets for pause activities (integrated calculations and reflection prompts)
  • Calculator (online or handheld)
  • Google Classroom platform to share materials
  • Dyslexia-friendly transcript of the video and worksheets (large font, clear spacing, sans-serif font)

Lesson Plan Timeline

TimeActivityDescriptionDifferentiation/Support
0:00 – 2:00Introduction (Video)Overview of the lesson’s questions: What costs are involved in moving out? What do you compare?Dyslexia-friendly captions and transcript available
2:00 – 6:00Cost Component Breakdown Pause 1Students complete worksheet section: Identify and list typical costs (rent, utilities, furniture, moving). Pause video to reflect and write.Provide example items for ELL or IEP students. Visual charts assist comprehension.
6:00 – 10:00Calculations and Model Setup Pause 2Students calculate monthly rent + utilities; discuss linear model y = mx + b with m = monthly cost, b = one-time expenses. Students fill out calculations.Scaffolded worksheet with partially completed equations for struggling learners.
10:00 – 14:00Compare Scenarios Pause 3Students compare costs of renting independently vs. living with family (mostly zero rent, contributing to utilities only). Write brief decision justification.Challenge advanced learners with “What if…” scenarios (e.g. roommates).
14:00 – 17:00Extension: Budget PlanningStudents create a simple budget plan incorporating these costs and suggest savings strategies. Encourage use of the linear model.Optional advanced math extension: graph functions, interpret slope.
17:00 – 20:00Wrap-Up and ReflectionReview key points aloud. Self-assessment: Did students achieve success criteria? Complete quick exit card with one insight learned.Provide sentence starters for written reflection for dyslexic students.

Video Engagement Prompts (to pause and guide student work)

  1. Prompt 1 (2:00 mins):
    “Pause the video. Write down all possible costs you might face if you move out of your family home. Rank them by importance.”

  2. Prompt 2 (6:00 mins):
    “Pause. Using the costs you have identified, calculate your total monthly rent and utilities expense. Now, write a linear function to represent these monthly expenses plus any one-time moving expenses.”

  3. Prompt 3 (10:00 mins):
    “Pause. Compare your total monthly costs to the cost of living with your family, assuming you contribute only to utilities. Which is cheaper? Why? Write your reasoning.”

  4. Prompt 4 (14:00 mins):
    “Pause. Create a monthly budget plan showing how you could manage these expenses if you moved out. Think of possible savings or trade-offs.”


Differentiation Strategies

  • For struggling learners: Use pre-filled tables and step-by-step guides to complete calculations; provide glossaries for economic terms; allow use of calculators and manipulatives.
  • For English Language Learners (ELLs): Use visuals and icons representing expenses; provide sentence frames for explanations; allow responses in writing or speech.
  • For dyslexic learners: Supply dyslexia-friendly fonts and colored overlays; use bullet points and large print worksheets; offer oral explanation options and encourage verbal reflection.
  • For advanced learners: Incorporate algebraic graphing exercises; create “what if” scenarios with roommates or varying utility rates; analyze exponential rent increases over time.

Extension Activities (Advanced Learners)

  • Investigate rental market trends in different states or cities and model costs accordingly.
  • Explore exponential growth by calculating rent increases over multiple years.
  • Develop a spreadsheet to automate cost comparisons among different living arrangements.
  • Research and present on credit scores’ impact on rent and utilities deposits.

Assessment

  • Worksheet completion during video pauses demonstrates understanding of cost components and calculations.
  • Written or verbal justifications comparing renting versus living with family reveal depth of comprehension.
  • Exit card responses reflect ability to synthesize financial decision-making.

Final Notes

This lesson leverages multimedia with pausing and active worksheets to engage students multisensorily—supporting online learning contexts like Zoom and Google Classroom. The structured prompts encourage critical thinking and real-world application while aligning closely with Common Core's focus on functions, modeling, and quantitative reasoning. Together with differentiation and dyslexia-friendly resources, this lesson is optimized for diverse learners and variable learning environments.

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