Cogito
Grade 7 Math · Chapter 3 · Lesson 1
Percent Increase and Decrease
Change measured against where you started.
10 problems · about 18 minutes · 7.RP.A.3
Figure — use these to answer the problems
Warm-Up Review
From earlier lessons. Loosen up before the new work.
1 problemFrom “Unit Rates with Fractions”
⅖ mile in ⅕ hour. Miles per hour?
Answer
Warm Up
Straightforward practice. Get the method working first.
4 problemsA 120 pound item falls 25%. New price?
AnswerPercent change is divided by which amount?
- The original amount.
- The new amount.
A 50 pound item rises 10%. New price?
AnswerA 90 pound item falls 20%. New price?
Answer
Build It Up
The same ideas with more to keep track of.
2 problemsFrom 20 to 25. Percent increase?
AnswerFrom 50 to 40. Percent decrease?
Answer
Stretch Yourself
Mixed problems. Work out what kind of question it is before you start.
3 problemsThe Sale
A 60 pound coat is reduced by 25%. What is the new price?
AnswerpoundsThe Rise
A price rises from 80 to 100. What is the percent increase?
AnswerpercentThe Tax
A 200 pound item has 20% tax added. What is the total?
Answerpounds