Problem
Read Dalkom from the pictograph
Dalkom shows 6 large apples and 9 small apples: 6 × 100 + 9 × 10 = 600 + 90 = 690.
Turning scaled picture symbols into a count is exactly what a scaled pictograph teaches in Grade 3.
3.MD.B.3Organize Information In More WaysDalkom's row of 6 large apples and 9 small apples stands for 690 boxes.
Why?
The 6 large apples, each worth 100 boxes, stand for 600 boxes.
Why?
Six symbols that each stand for 100 boxes are six equal groups of 100, which you count by multiplying.
Why?
Six hundreds gathered together are written as the number six hundred.
Why?
The 9 small apples, each worth 10 boxes, stand for 90 boxes.
Why?
Nine symbols that each stand for 10 boxes are nine equal groups of 10, which you count by multiplying.
Why?
Nine tens gathered together are written as the number ninety.
Why?
The large-apple boxes and the small-apple boxes are the two separate parts of Dalkom's one row, so joining 600 and 90 gives the row's 690 boxes.
Find Manna using the total
The four orchards add to 3000. Subtract the three known amounts: 3000 - 780 - 690 - 800 = 730.
Subtracting the known parts from a known total within 1000 is Grade 3 place-value work.
3.NBT.A.2Identify SubproblemsComplete the pictograph rows
Convert back to apples: Singsing = 7 large+8 small, Manna = 7 large+3 small, Dalkom = 6 large+9 small, Haengbok = 8 large.
Going from a number back to the right count of large and small symbols is the reverse of reading a pictograph.
3.MD.B.3Organize Information In More WaysEach big apple is 100 and each little apple is 10 - count them up, then the total fills in the rest!
- Read Dalkom from the pictograph
- Find Manna using the total
- Complete the pictograph rows