SME
Grade 3 Math · Problem type
Solve problems using picture graphs
Use this for “How many more apples than pears?” on a picture graph.
Chart
Apple pictures
6
Pear pictures
3 1/2
Key:
= 2
= 1 (half of 2)
Apples: 12
Pears: 7
This is an example. Type your own values to start a new problem.
Each picture stands for
example
Apple pictures
example
Pear pictures
example
Apples
calculated
Pears
calculated
How many more
calculated
Formulas
6 × 2 = 12
Apple pictures × each picture stands for = apples
3
1
2
×
2
=
7
Pear pictures × each picture stands for = pears
12 and 7 are 5 apart
Difference between apples and pears = how many more
Assumptions
•
Find each count first: pictures × the key.
•
Then subtract the smaller count from the bigger one.
Step-by-step
WE KNOW
Each picture stands for: 2
Apple pictures: 6
Pear pictures: 3 1/2
FIND
apples, pears, how many more
Step 1 · Find apples
6 × 2 = ?
Apple pictures × each picture stands for = apples
Count by the key once for each picture. Half a picture is half the key.
5 × 2 = 10
One more group: 10 + 2 = 12
Apples = 12
Step 2 · Find pears
3 × 2 + 1 = ?
Pear pictures × each picture stands for = pears
Count by the key once for each picture. Half a picture is half the key.
Pears
=
3
1
2
×
2
3 × 2 = 6
Half a picture: 2 ÷ 2 = 1
6 + 1 = 7
Pears = 7
Step 3 · Find how many more
12 and 7 are ? apart
Difference between apples and pears = how many more
Subtract the smaller count from the bigger one.
How many more = 12 − 7
12 − 2 = 10
10 − 5 = 5
How many more = 5 (more apples)
Check
Put the numbers back in. Both sides should match.
6 × 2 = 12 ✓
3 × 2 + 1 = 7 ✓
12 − 7 = 5 ✓
Topic check
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