Redrawing at a New Scale

The same object, a different size of picture.

10 problems · about 18 minutes · 7.G.A.1

NameDate

Figure — use these to answer the problems

Scale a length by a fraction and compare it with the original.

Before: 6

After: 3

1/2 × 6 = 3

Original length6

Multiply by1

Divided by2

Figure 1

From earlier lessons. Loosen up before the new work.

3 problems

From “Reading a Scale”
Scale 1 cm to 30 km. Real distance for 5 cm, in km?
Answer
From “Scale Drawings and Area”
A shape is scaled by 3. How many times bigger is its area?
Answer
From “Scale Copies”
A 9 cm side becomes 27 cm. What is the scale factor?
Answer

Straightforward practice. Get the method working first.

3 problems

The same ideas with more to keep track of.

2 problems

5 cm at 1 cm to 10 m, redrawn at 1 cm to 5 m. New length in cm?
Answer
If each centimetre covers more ground, does the drawing get bigger or smaller? Answer 1 for bigger, 2 for smaller.
Answer

Mixed problems. Work out what kind of question it is before you start.

2 problems