Checking and securing understanding of scaled drawings
Lesson details
Learning outcome
I can interpret scaled drawings in a variety of contexts.
Key learning points
- Maps are a practical example of a multiplicative relationships.
- The scale factor is the multiplier.
- The multiplicative relationship can be written as a ratio.
- Real-life scaling involves writing a ratio involving the parts which are dependent on each other.
Keywords
Proportionality - Variables are in proportion if they have a constant multiplicative relationship.
Ratio - A ratio shows the relative sizes of 2 or more values and allows you to compare a part with another part in a whole.
Common misconception
Misinterpreting a scale, particularly if given with no units.
Encourage pupils to carefully convert the scale into a more useful scale. E.g. writing 1 : 20 0000 as 1 cm = 2 km
Teacher tip
Provide groups of pupils with a scale model or photograph. Give them the scale and as a group the pupils can work out the measurements in real-life.
Licence
Lesson video
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Prior knowledge starter quiz
6 Questions
Q1.Variables are in proportion if they have a constant relationship.
Q2.How many centimetres are in 1 metre?
Q3.How many centimetres are in 1 kilometre?
Q4.If 1 cm = 5 km, how many kilometres are represented by 6 cm?
Q5.If 1 cm = 5 km, how many centimetres represent 45 km?
Q6.If 1 cm = 5 km, how many kilometres are represented by 4.5 cm?
Assessment exit quiz
6 Questions
Q1.Variables are in proportion if they have a relationship.
Q2.If 1 cm = 20 km, how many kilometres are represented by 6 cm?
Q3.If 1 cm = 20 km, how many centimetres represent 60 km?
Q4.The scale on a map is 1 : 300 000. The distance between two places on the map is 4 cm. What is the distance in real life in kilometres?
Q5.The scale on a map is 1 : 400 000. The distance between two places in real life is 14 km. What is the distance between them on the map?
Q6.The scale of a model building is 1 : 200. The height of a model church is 6.5 cm. How tall is the church in real life?
To help you plan your 10 maths lesson on: Checking and securing understanding of scaled drawings, download all teaching resources for free and adapt to suit your pupils' needs...
To help you plan your 10 maths lesson on: Checking and securing understanding of scaled drawings, download all teaching resources for free and adapt to suit your pupils' needs.
The starter quiz will activate and check your pupils' prior knowledge, with versions available both with and without answers in PDF format.
We use learning cycles to break down learning into key concepts or ideas linked to the learning outcome. Each learning cycle features explanations with checks for understanding and practice tasks with feedback. All of this is found in our slide decks, ready for you to download and edit. The practice tasks are also available as printable worksheets and some lessons have additional materials with extra material you might need for teaching the lesson.
The assessment exit quiz will test your pupils' understanding of the key learning points.
Our video is a tool for planning, showing how other teachers might teach the lesson, offering helpful tips, modelled explanations and inspiration for your own delivery in the classroom. Plus, you can set it as homework or revision for pupils and keep their learning on track by sharing an online pupil version of this lesson.
Explore more key stage 4 maths lessons from the Bearings unit, dive into the full secondary maths curriculum, or learn more about lesson planning.