Cogito
Grade 7 Math · Chapter 1 · Lesson 3
Reading a Scale
One centimetre on the map, half a kilometre on the ground.
10 problems · about 18 minutes · 7.G.A.1
Figure — use these to answer the problems
| Centimetres on the map | Kilometres on the ground |
|---|---|
| 1 | 5 |
| 2 | 10 |
| 3 | 15 |
| 4 | 20 |
Warm-Up Review
From earlier lessons. Loosen up before the new work.
3 problemsFrom “Scale Drawings and Area”
A shape is scaled by 3. How many times bigger is its area?
AnswerFrom “Scale Copies”
A 9 cm side becomes 27 cm. What is the scale factor?
AnswerFrom “Scale Drawings and Area”
Why does doubling the sides quadruple the area?
- Both the length and the width doubled.
- Because that is the rule.
Warm Up
Straightforward practice. Get the method working first.
3 problemsScale 1 cm to 30 km. Real distance for 5 cm, in km?
AnswerScale 1 cm to 5 km. Real distance for 7 cm, in km?
AnswerScale 1 cm to 5 km. Map length for 60 km, in cm?
Answer
Build It Up
The same ideas with more to keep track of.
2 problemsScale 1 cm to 250 m. Real distance for 4 cm, in metres?
AnswerGoing from a real length to a map length, do you multiply or divide? Answer 1 for multiply, 2 for divide.
Answer
Stretch Yourself
Mixed problems. Work out what kind of question it is before you start.
2 problemsThe Map
Scale 1 cm to 20 km. How many km is 8 cm?
AnswerThe Other Way
Scale 1 cm to 20 km. How many cm on the map is 300 km?
Answer