Run a farmers-market stall. Bulk orders, crate splitting, and a cash register โ every written method stays tied to a picture.
REMEMBER:Estimate first. A ballpark answer catches a misplaced decimal
point before it costs you a $2,000 apple. The standard algorithm for multiplication is the
area model written in a column โ every row is a piece of the rectangle. Division
is fair sharing in chunks: take out big groups first, then smaller ones, and add up what you took.
Decimals follow the same place-value rules as whole numbers โ line up places to add or subtract,
and use your estimate to place the point when you multiply or divide.
Part 1 ยท The Bulk Order
A restaurant orders crates of produce. Enter the crate count and the price-per-crate (whole dollars) and build
the bill one partial product at a time. The area model on the left and the
standard algorithm on the right light up the same piece together.
Crate Splitting
A truck drops off a pile of items to pack into crates. Share them out in big batches first. Each batch
you take out is a strip of the rectangle โ the crate count grows as the pile shrinks.
Part 2 ยท The Register: Estimate First
Every sale passes through the estimate gate before the exact answer. Pick a ballpark, lock it in,
then pick the exact total. If your decimal point wanders, the register will let you know (politely).
ESTIMATE GATE
Part 3 ยท The Machines
Three step-by-step machines. Each step says what to do and why it works.
Standard algorithm, explained row by row
Partial quotients: share in chunks
Decimals to hundredths: estimate, compute, place the point, check
Part 4 ยท Stall Manager Quiz
Ten questions. Each wrong answer points you to the part of the market to revisit.
Question 1 of 10Score: 0
Word Box
Factor ยท Product
The numbers you multiply, and the answer. 37 × 246: the factors are 37 and 246; the product is 9,102.
Partial product
One piece of a multiplication โ a single region of the area model, or a single row of the standard algorithm.
Area model
A rectangle split by place value. Its total area is the product; each region is a partial product.
Standard algorithm
The column method for multiplying. Each row multiplies by one digit of the second factor; the rows are the area model added up.
Dividend ยท Divisor ยท Quotient ยท Remainder
1368 ÷ 24 = 57: the dividend is 1368, the divisor 24, the quotient 57. Whatever is left that is too small to share is the remainder.
Partial quotient
A chunk of the quotient taken out in one step โ a strip of the division rectangle.
Estimate
A ballpark answer made with friendly numbers. Used before an exact answer to catch mistakes โ especially a misplaced decimal point.
Hundredth
One of 100 equal parts of a whole. A cent is a hundredth of a dollar, which is why money is the best decimal model there is.
Free lessons, assessments & worksheets at
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