Cogito
Grade 3 Math · Chapter 5 · Lesson 9
Fractions Greater Than One
Past the 1, and still counting.
10 problems · about 13 minutes · 3.NF.A.2, 3.NF.A.3
What this lesson teaches
The child locates and interprets fractions greater than one on a number line.
- Counting fractions does not stop at one whole.
- 5/4 sits just past the 1 on the line.
- A bigger top than bottom is a perfectly ordinary number.
Warm-Up Review
From earlier lessons. Loosen up before the new work.
3 problemsReview — Equivalent Fractions: How many sixths equal 1/3?
Answer 2
Why 1/3 = 2/6.
Review — 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.
3 problemsHow many fifths land on the 2?
Answer 10
Why 10/5 = 2.
Is 9/8 bigger or smaller than 1?
Answer Bigger
Why 9/8 is one whole and one eighth more.
How many fourths land on the 2?
Answer 8
Why 4 for each whole.
Build It Up
The same ideas with more to keep track of.
1 problemHow many halves land on the 3?
Answer 6
Why 2 for each whole.
Stretch Yourself
Mixed problems. Work out what kind of question it is before you start.
3 problemsIs 7/4 bigger or smaller than 1?
Answer Bigger
Why 4/4 is exactly 1.
The Pizzas: Two pizzas are each cut into 4. You eat 6 slices. What fraction is that?
Answer 6 fourths
Why 6/4, which is one whole and a half.
Landing on Two: How many thirds land exactly on the 2?
Answer 6 thirds
Why 6/3 = 2.