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Illustrative Mathematics K–5 · Grade 4 · Unit 6 · Multiplying and Dividing Multi-digit Numbers

City Builders

Welcome to the building site! Plant patterns in the park, stack bricks, lay tiles, run the crane, sort buses and trucks, and check the plans at City Hall. Then light up the tower at the Grand Opening. Each station matches lessons from class.

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For grown-ups

How a round works

Each station deals 8 fresh problems (the Grand Opening deals 10). A right answer on the first try earns 10 points. After a wrong answer, the game names the likely mistake and gives one more try for 5 points. At the Grand Opening, each right answer lights one of the tower’s 10 windows.

The "Show me" hint

Hints use the pictures from class and start the work without finishing it: area diagrams split by place value, the first column of the standard algorithm, the first chunk of partial quotients, and base-ten blocks shared into groups. A used hint caps that problem at 5 points.

Mistakes it catches

Counting the start of a pattern as a step, multiplying only the biggest place, using digits instead of their values, finding only two of four partial products, leaving out carries, leaving tens unshared instead of trading them, subtracting or multiplying instead of dividing, and using the quotient when a story needs one more (or the remainder).

Numbers

Multiplying goes up to 4 digits by 1 digit and 2 digits by 2 digits, with few nonzero digits and at most two carries. Dividing goes up to 4 digits by 1 digit, without remainders except at Delivery Trucks, where every story says what the remainder means.

Learn it first

Each station matches a chapter of the Learn page for this unit, which walks through the ideas step by step.

Not covered

Paper Flower Decorations (Lesson 25) is an optional lesson, so there is no station for it.