Mathematics
Beginner
60 mins
Teacher/Student led
+65 XP
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Measuring the Space (1): Length, Perimeter, Area

You will measure a real school space like a classroom or yard using a tape measure, convert measurements from cm to m, and calculate perimeter and area for a decorating project. Work in groups to record accurate results on a worksheet.

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    1 - Getting Started

    Imagine your class is decorating the old art room for a school play set. You need to know exactly how much paint, carpet, or wallpaper to buy. Too little and the job's unfinished. Too much and you've wasted money.

    Today you'll measure a real space in your school: a classroom, a yard, a stage area: using a tape measure. You'll convert between cm and m, calculate the perimeter (edge distance) and area (floor space), and record it all for your project budget.

    2 - What You'll Learn

    Every real project starts with accurate measurements. Here's what you'll master today, with a worked classroom example.

    ConceptWhy it mattersExample
    Perimeter — the total distance around the outside edge of a shape. For a rectangle, add all four sides: length + width + length + width, or 2 × (length + width).You need the perimeter to buy edging materials like skirting board, coving, or border tiles. Wrong perimeter means you run short or have waste.A classroom 7.2 m long and 5.4 m wide has a perimeter of 2 × (7.2 + 5.4) = 25.2 m: that's the length of skirting board needed.
    Area — the amount of space inside a shape, measured in square units. For a rectangle, area = length × width.Area tells you how much floor covering (carpet, lino) or wall covering (paint, wallpaper) you need. Paint calculators use m².That same 7.2 m × 5.4 m classroom has an area of 38.88 m²: the floor or wall covering needed.
    Unit conversion — changing between units like mm, cm, m, km by multiplying or dividing by powers of 10: 1 m = 100 cm = 1000 mm; 1 km = 1000 m (MCS.2d).Tape measures give cm or mm, but catalogues price per m or m². You must convert or the budget is wrong.A wall 245 cm long converts to 2.45 m for pricing carpet at €22 per metre.

    3 - Try It Yourself: Measure Your Project Space

    Now measure your actual project space: the room, yard, or stage area for your class project. Work in groups of 3: one holds the tape, one calls the measurement, one records.

    Steps:

    1. Choose your space (art room, yard corner, drama stage).
    2. Measure length and width to the nearest cm using the class tape measures.
    3. Convert cm to m (divide by 100).
    4. Calculate perimeter: 2 × (length + width).
    5. Calculate area: length × width.
    6. Sketch a quick outline with dimensions labelled.

    Record everything in the worksheet next: this feeds your KA1 evidence directly.

    4 - Space Measurements Budgetsheet

    Transfer your group's measurements here. This is your portfolio artifact for MA1 KA1: 'Collecting, Comparing and Calculating' evidence. Save as LCA_Maths_Portfolio/03_space_measurements_v1.docx.

    Success criteria: All measurements shown in m to 2 decimal places; perimeter uses 2×(L+W) formula shown; area uses L×W formula shown; sketch includes scale and labels.

    03_space_measurements_v1: Project Space
    Record your real measurements. Show all working.
    Fixed Costs (one-off)
    Variable Costs (per unit)
    Pricing & Forecast
    Break-even at current numbers: fill in costs and price

    5 - Think About It

    Discuss with your group:

    • What was hardest: measuring straight, converting units, or calculating?
    • How does 1 cm error affect paint or carpet cost?
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