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3.2 Length

Mathematics · Grade 7 · 6 lessons in the design

What this covers

  • Units of length: centimetre (cm), decimetre (dm), metre (m), decametre (Dm), hectometre (Hm)
  • Conversion tables for cm, dm, m, Dm and Hm
  • Operations involving units of length
  • Perimeter of plane figures, including combined shapes
  • Circumference of circles and the relationship circumference to diameter (Pi)

What you will be able to do

  • convert units of length from one form to another involving cm, dm, m, Dm, Hm in learning situations
  • perform operations involving units of length in different situations
  • work out the perimeter of plane figures in different situations
  • work out the circumference of circles in different situations
  • promote the use of length in real-life situations

Key questions

“Why do we use different units of measuring length?”

“How do we measure the perimeter of different objects?”

Lessons

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  1. Units of length
    40 min · 1 practice tasks · quiz
    Name cm, dm, m, Dm and Hm, and say why Kenya uses different units for a finger, a desk, a classroom and a 100 m track.
  2. Converting units of length
    40 min · 1 practice tasks · quiz
    Convert among cm, dm, m, Dm and Hm by multiplying or dividing by 10 for each step on the ladder.
  3. Operations with lengths
    40 min · 1 practice tasks · quiz
    Add, subtract, multiply and divide lengths after converting every measurement to the same unit.
  4. Perimeter of plane figures
    40 min · 1 practice tasks · quiz
    Find the distance around squares, rectangles, triangles and combined shapes by adding the outer sides.
  5. Circumference and Pi
    40 min · 1 practice tasks · quiz
    Measure circular objects to find that circumference divided by diameter is about 22/7, and name that number Pi.
  6. Using circumference and length
    40 min · 1 practice tasks · quiz
    Apply C = πd and C = 2πr to a bicycle wheel, a flower bed and a track, and choose sensible units for real jobs.