Cogito
Grade 4 Math · Chapter 5 · Lesson 2
Equivalent Fractions
Same amount, cut a different way.
10 problems · about 15 minutes · 4.NF.A.1
Figure — use these to answer the problems
1/2 is equal to 2/4.
Warm-Up Review
From earlier lessons. Loosen up before the new work.
2 problemsFrom “A Fraction Counts Units”
How many sixths are in 5/6?
AnswerFrom “Number Patterns”
Start at 7, add 4. What is the 5th term?
Answer
Warm Up
Straightforward practice. Get the method working first.
4 problems2/3 = ?/9. What is the top number?
AnswerWhy do both numbers change together?
- Every piece is cut the same way.
- Because that is the rule.
1/2 = ?/10. What is the top number?
Answer2/5 = ?/10. What is the top number?
Answer
Build It Up
The same ideas with more to keep track of.
2 problems3/4 = 9/?. What is the bottom number?
AnswerDoes cutting a cake into more slices give more cake?
- No. Only smaller slices.
- Yes.
Stretch Yourself
Mixed problems. Work out what kind of question it is before you start.
2 problemsThe Same Amount
3/4 written in eighths has what top number?
AnswerThe Cake
1/3 written in twelfths has what top number?
Answer