Cogito
Grade 3 Math · Chapter 5 · Lesson 8
Equivalent Fractions
Different names for the same place on the line.
10 problems · about 14 minutes · 3.NF.A.3
What this lesson teaches
The child recognizes equivalent fractions as the same point on a number line.
- Equivalent fractions are the same amount with different names.
- They land on the same point of the number line.
- Cutting every piece in two doubles both numbers.
Warm-Up Review
From earlier lessons. Loosen up before the new work.
2 problemsReview — Comparing Fractions With the Same Top: Which is bigger, 3/4 or 3/6?
Answer 3/4
Why Fourths are bigger pieces than sixths.
Review — Comparing Fractions With the Same Bottom: Which is bigger, 3/4 or 1/4?
Answer 3/4
Why 3 fourths beats 1 fourth.
Warm Up
Straightforward practice. Get the method working first.
4 problemsHow many sixths equal 1/3?
Answer 2
Why 1/3 = 2/6.
What makes two fractions equivalent?
Answer They sit at the same point on the line.
Why Equivalent fractions are the same number written two ways.
How many eighths equal 1/2?
Answer 4
Why Half of 8.
How many sixths equal 1/2?
Answer 3
Why Half of 6.
Build It Up
The same ideas with more to keep track of.
2 problemsHow many fourths equal 2/8?
Answer 1
Why 2/8 is a quarter.
How many eighths equal 3/4?
Answer 6
Why Double both numbers.
Stretch Yourself
Mixed problems. Work out what kind of question it is before you start.
2 problemsTwo Names: 2/4 is the same as which simpler fraction?
Answer 1/2.
Why 2/4 = 1/2.
Sixths and Thirds: How many sixths are the same as 1/3?
Answer 2 sixths
Why 1/3 = 2/6.