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      Designing a green space

      Lesson details

      Learning outcome

      I can design a green space whilst considering the community.

      Key learning points

      1. When designing, restrictions are likely to exist
      2. A scale model/map is helpful to visualise the end result

      Keywords

      • Urban - Urban is a word to describe a town or city, or certain properties of towns and cities.

      • Area - The area is the size of the surface and states the number of unit squares needed to completely cover that surface.

      • Truncate - Simplifying a number by 'cutting off' one or more of the digits and replacing them with zeros if necessary to preserve place value.

      Common misconception

      When performing divisions to calculate the maximum number of plants that fit into a space, pupils may round decimal answers up to the nearest integer (e.g. round 4.5 plants up to 5 plants).

      The context would suggest that it may be more appropriate to truncate decimal answers to an integer rather than rounding them up to the nearest integer (e.g. there is not enough space available to fit the 5th plant).

      Teacher tip

      Task B could be extended by asking pupils to consider different ways to arrange the plants within the planting box. E.g. could more plants fit into available space if they were staggered, rather than arranged in rows and columns? This could be explored using dynamic geometry software.

      Licence

      This content is © Oak National Academy Limited (2025), licensed on Open Government Licence version 3.0
      except where otherwise stated. See Oak's terms & conditions
      (Collection 2).

      Lesson video

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      Prior knowledge starter quiz

      6 Questions

      Q1.
      The __________ is the size of a surface and states the number of unit squares needed to completely cover that surface.

      Correct answer: area
      length
      mass
      volume

      Q2.
      A circle has a diameter of length 6 cm. Which calculation would find the area of the circle?

      Correct answer: $$\pi \times 3^2$$
      $$\pi \times 6^2$$
      $$\pi \times 12^2$$
      $$\pi \times 2 \times 3$$
      $$\pi \times 2 \times 6$$

      Q3.
      $$1 : 300 = 5 : x$$. Find the value of $$x$$.

      Correct Answer: 1500, x = 1500, one thousand five hundred

      Q4.
      $$1 : 400 = x : 84$$. Find the value of $$x$$.

      Correct Answer: 0.21, x = 0.21, zero point two one

      Q5.
      On a scale drawing, 1 cm in the drawing represents 4 m in real life. Which ratio expresses the scale for this drawing?

      1 : 4
      1 : 40
      Correct answer: 1 : 400
      10 : 4
      100 : 4

      Q6.
      A rectangular floor is 360 cm by 210 cm. Square floor tiles have length 30 cm. How many tiles would be needed to cover the floor?

      Correct Answer: 84, 84 tiles

      6 Questions

      Q1.
      The area of the rectangle labelled "walkway" is m$$^2$$.

      An image in a quiz
      Correct Answer: 36, thirty six

      Q2.
      The area of the circle labelled "air vent" is __________ m$$^2$$, when rounded to 1 decimal place.

      An image in a quiz
      4.7
      Correct answer: 7.1
      9.4
      28.3

      Q3.
      The diagram shows the plan of a rooftop, where some of the space is going to be used for greenery. The total area of the regions labelled "greenery" is m$$^2$$ (to the nearest m$$^2$$).

      An image in a quiz
      Correct Answer: 157, 156

      Q4.
      Lucas is planting broccoli in rows and columns in a 4 m by 2.4 m rectangular garden bed. The broccoli should be planted 80 cm apart so that they have space to grow. How many broccolis can he plant?

      An image in a quiz
      Correct Answer: 15, fifteen

      Q5.
      Sofia is making a scale drawing of a rectangular park on a sheet of A4 paper. The park is 600 m by 500 m; the paper is 21 cm by 29 cm. Which scales would allow the scale drawing to fit onto the paper?

      1 : 1000
      1 : 1500
      1 : 2000
      Correct answer: 1 : 2500
      Correct answer: 1 : 3000

      Q6.
      Sofia makes a scale drawing of a rectangular park using the scale 1 : 4000. Her drawing of the park is 18 cm by 25 cm. The perimeter of the actual park is m.

      Correct Answer: 3440

      To help you plan your 9 maths lesson on: Designing a green space, download all teaching resources for free and adapt to suit your pupils' needs...