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Total Cost 4E

Overview

Ms O’Sullivan buys 28 costumes at €5.30 each during a 15% sale. Students identify the correct expression for the total (5.30 × 28), compute it, decide whether to use 0.15 (discount amount) or 0.85 (final price factor), subtract the discount, and round to the nearest euro.

Worked Example

Unit price = €5.30
Quantity = 28
Total before discount = 5.30 × 28 = €148.40

Discount rate = 15% = 0.15
Discount amount = €148.40 × 0.15 = €22.26
Price after discount = €148.40 − €22.26 = €126.14
Rounded to nearest euro = €126
    

Step Sequence

  1. Choose the correct operation to find the total: multiply price × quantity.
  2. Calculate the pre-discount total.
  3. Find the discount: multiply total by 0.15 (or use 0.85 as a one-step factor for the final price).
  4. Subtract the discount from the total to get the sale price.
  5. Round the final amount to the nearest euro.

Sample Prompts

  • “Which expression gives the total cost before discount?”
  • “To find the discount, would you multiply by 0.15 or 0.85?”
  • “What is the price after subtracting the discount?”
  • “Round your final price to the nearest euro.”

Why This Matters

Learners connect percentages to real purchases, building practical financial literacy and confidence using a calculator for multi-step money problems.

Total Cost 4E
Step 1 / 7

Prerequisite Knowledge Required

  • Total Cost 4D – combining subtotals and totals (money addition).
  • Percentages 3C – finding a percentage of an amount.
  • Rounding 2B – rounding to the nearest euro.

Main Category

Arithmetic → Money → Percentages & Real-World Applications

Estimated Completion Time

Approx. 10–14 seconds per question.
40 questions total → Total time: 7–10 minutes.

Cognitive Load / Step Size

Each screen introduces one idea at a time (multiply → percentage → subtract → round), keeping working-memory load moderate and focused.

Language & Literacy Demand

Moderate. Short sentences with icon support (SALE badge, item table). Keywords (discount, total cost, after discount) highlighted in purple to anchor meaning.

Clarity & Design

  • Neat price/quantity tables separate inputs from results.
  • Consistent colour cues for operations and amounts.
  • Clear SALE/percentage visuals to emphasise the discount step.

Curriculum Alignment (ROI Junior Cycle – Number)

  • Calculate the cost of multiple items (multiplication of decimals).
  • Find a percentage of an amount and interpret the result.
  • Subtract to determine a discounted total; round appropriately.

Engagement & Motivation

A relatable school drama context frames a practical money-saving challenge, sustaining interest and purpose.

Error Opportunities & Misconceptions

  • Confusing 0.15 (discount amount) with 0.85 (final-price factor).
  • Forgetting to subtract the discount from the total.
  • Decimal mistakes in multiplication or rounding.
  • Applying the percentage to the unit price instead of the total.

Transferability / Real-World Anchoring

Highly transferable to shopping, budgeting, and evaluating sales. Encourages effective calculator use and estimation to sense-check results.

Conceptual vs Procedural Balance

Balanced. Concept (what a discount means) precedes procedure (how to compute it), reinforcing understanding and accuracy.

Learning Objectives Addressed

  • Multiply to find a total cost for multiple identical items.
  • Calculate a percentage of a total to find a discount.
  • Subtract the discount to get a final price and round sensibly.
  • Choose between 0.15 (discount) and 0.85 (net) factors appropriately.

What Your Score Says About You

  • Less than 20: Building comfort with decimals and % steps — revisit 4D first.
  • 21–29: Processes understood but % factor choice slips occasionally.
  • 31–39: Strong calculation order — just check rounding and decimals.
  • 40 / 40: Excellent financial fluency — ready for compound interest and profit/loss.
Total Cost 4E – Level 4 · Phlow Academy