Cogito
Grade 3 Math · Chapter 5 · Lesson 5
Fractions Equal to One
When the top and bottom match.
10 problems · about 12 minutes · 3.NF.A.3
What this lesson teaches
The child recognizes that a/a equals 1 and writes whole numbers as fractions.
- When the top and bottom match, the fraction is one whole.
- 3/3, 5/5, and 8/8 all equal 1.
- Whole numbers can be written as fractions.
Warm-Up Review
From earlier lessons. Loosen up before the new work.
3 problemsReview — Fractions on the Number Line: A line cut into 5 parts. How many parts along is 2/5?
Answer 2
Why 2/5 is two parts along from 0.
Review — Fractions as Copies of a Unit: How many copies of 1/8 make 5/8?
Answer 5
Why 5/8 is five copies of 1/8.
Review — Unit Fractions: Which is bigger, 1/4 or 1/6?
Answer 1/4
Why 1/4 is bigger, even though 4 is the smaller number.
Warm Up
Straightforward practice. Get the method working first.
3 problems6/6 equals which whole number?
Answer 1
Why 6/6 = 1.
How many quarters make 3 wholes?
Answer 12
Why 12/4 = 3.
How many fifths make one whole?
Answer 5
Why All of them.
Build It Up
The same ideas with more to keep track of.
1 problemHow many thirds make 2 wholes?
Answer 6
Why 3 and 3.
Stretch Yourself
Mixed problems. Work out what kind of question it is before you start.
3 problems7/7 equals which whole number?
Answer 1
Why Every piece.
The Whole Cake: A cake is cut into 8 slices and all are eaten. What fraction was eaten?
Answer 8 eighths
Why 8/8, which is one whole cake.
Two Wholes: Two pizzas are each cut into 4. How many quarters is that in total?
Answer 8 quarters
Why 8/4, which is 2 whole pizzas.