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7th grade · Math · Unit 8 of 22

Scale Drawings

Maps and floor plans

What your child practices

Finding real lengths and areas from a scale drawing or map, and redrawing at a different scale.

Texas Essential Knowledge and Skills (TEKS) teks student expectation: 7.5(A); 7.5(C) · similar shapes and scale drawings

How we explain it

Children can open this short lesson before they practice.

  1. The scale tells how a drawing length matches a real length.
  2. Multiply by the scale to find real lengths.
  3. Find real side lengths first, then the real area.

Example: On a map, 1 cm stands for 5 m. A path is 7 cm. How long is it really? 7 × 5 = 35. Answer: 35 m

Scale Drawings in Texas

In the Texas Essential Knowledge and Skills (TEKS), this is unit 8 of 22 in 7th grade Math, after Fractions, Decimals & Percents and before Circles.

Gradelings describes a child's practice on this unit as Beginning, Approaching, Meeting or Exceeding (Four practice steps). That reflects practice, not a report-card mark: the teacher decides the mark.

Source: Texas Education Agency (TEA)

Sample questions

A taste of this unit. In the app, questions change every time and get easier or harder to match your child.

  1. Question 1

    A scale drawing uses 1 in = 4 ft. A wall is 36 ft long. How long is it on the drawing?

    • 144 in
    • 10 in
    • 11 in
    • 9 in

  2. Question 2

    On a map, 1 in stands for 7 ft. A path is 5 in long on the map. How long is it really?

    • 12 ft
    • 35 ft
    • 42 ft
    • 32 ft

  3. Question 3

    A room is drawn as a 4 in by 2 in rectangle. The scale is 1 in = 10 ft. What is the real area?

    • 800 ft²
    • 803 ft²
    • 80 ft²
    • 8 ft²

  4. Question 4

    A drawing at 1 cm = 2 m shows a fence 14 cm long. It is redrawn at 1 cm = 4 m. How long is the fence on the new drawing?

    • 7 cm
    • 28 cm
    • 14 cm
    • 8 cm

  5. Question 5

    A room is drawn as a 4 in by 3 in rectangle. The scale is 1 in = 3 ft. What is the real area?

    • 36 ft²
    • 12 ft²
    • 108 ft²
    • 110 ft²

  6. Question 6

    A drawing at 1 cm = 4 m shows a fence 4 cm long. It is redrawn at 1 cm = 8 m. How long is the fence on the new drawing?

    • 2 cm
    • 8 cm
    • 4 cm
    • 0 cm

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