SME
Grade 3 Math · Problem type
Fractions of a set
Use this for “What fraction of the umbrellas are shaded?”
Diagram
7 umbrellas: 3 shaded, 4 not shaded.
3 of the 7 umbrellas are shaded: 3/7 of the set.
Tap an umbrella to shade it.
Not shaded: 4
This is an example. Type your own values to start a new problem.
Umbrellas in all
example
Shaded
example
Not shaded
calculated
Formulas
3 shaded + 4 not shaded = 7 umbrellas
Shaded umbrellas + umbrellas not shaded = umbrellas in all
Assumptions
•
The whole is the set: all the umbrellas. Each umbrella is one equal part.
•
The bottom number is how many umbrellas in all; the top is how many are shaded.
•
Tap an umbrella to shade it or clear it.
Step-by-step
WE KNOW
Umbrellas in all: 7
Shaded: 3
FIND
not shaded
Step 1 · Find not shaded
3 shaded + ? not shaded = 7 umbrellas
Shaded umbrellas + umbrellas not shaded = umbrellas in all
Take the shaded umbrellas away from the umbrellas in all.
Not shaded = 7 − 3
3
of
the
7
umbrellas
are
shaded:
3
7
of
the
set
Not shaded = 4
Check
Put the numbers back in. Both sides should match.
3 shaded + 4 not shaded = 7 umbrellas ✓
Topic check
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Fractions as numbers
Main lesson
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Use this to find the whole from one part: “This bar is 1/3. Draw the whole.”
Equal parts of an area
Use this for “Is each part one fourth of the area?”