SME
Grade 3 Math · Problem type
Read picture graphs with a key
Use this for “Each picture stands for 10 students. How many?”
Chart
Apple pictures
6
Pear pictures
3
Plum pictures
5
Key:
= 2
= 1 (half of 2)
Apples: 12
Pears: 6
Plums: 10
In all: 28
This is an example. Type your own values to start a new problem.
Each picture stands for
example
Apple pictures
example
Pear pictures
example
Plum pictures
example
Apples
calculated
Pears
calculated
Plums
calculated
In all
calculated
Formulas
6 × 2 = 12
Apple pictures × each picture stands for = apples
3 × 2 = 6
Pear pictures × each picture stands for = pears
5 × 2 = 10
Plum pictures × each picture stands for = plums
12 + 6 + 10 = 28
Apples + pears + plums = in all
Assumptions
•
The key says how many each picture stands for.
•
Count the pictures, then multiply by the key.
•
Half a picture stands for half the key: with a key of 2, half a picture is 1.
Step-by-step
WE KNOW
Each picture stands for: 2
Apple pictures: 6
Pear pictures: 3
Plum pictures: 5
FIND
apples, pears, plums, in all
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 = ?
Pear pictures × each picture stands for = pears
Count by the key once for each picture. Half a picture is half the key.
Count by 2s, 3 times: 2, 4, 6 → 6
Pears = 6
Step 3 · Find plums
5 × 2 = ?
Plum pictures × each picture stands for = plums
Count by the key once for each picture. Half a picture is half the key.
10 × 2 = 20. Five groups are half of that: 10
Plums = 10
Step 4 · Find in all
12 + 6 + 10 = ?
Apples + pears + plums = in all
Add the counts of every column.
12 + 6 = 18
18 + 10 = 28
In all = 28
Check
Put the numbers back in. Both sides should match.
6 × 2 = 12 ✓
3 × 2 = 6 ✓
5 × 2 = 10 ✓
12 + 6 + 10 = 28 ✓
Topic check
See what you know: 5 questions on this topic
New questions each time. Pass to mark it complete.