NY Next Generation Math NY-4.NBT.5

Math4th GradeUse place value understanding and properties of operations to perform multi-digit arithmetic.

The Standard

Multiply a whole number of up to four digits by a one-digit whole number, and multiply two two-digit numbers, using strategies based on place value and the properties of operations. Illustrate and explain the calculation by using equations, rectangular arrays, and/or area models.

New York State Next Generation Mathematics Learning Standards

Teacher's field guide

What This Standard Means

What Students Need to Do

Students multiply a number with up to four digits by one digit and multiply two two-digit numbers. They use place value and operation properties, then illustrate and explain with an equation, array, or area model.

What Mastery Looks Like

The student solves 2,346 times 4 or 27 times 36 accurately. The student connects each partial product in a model to a written calculation.

Common Misconceptions

Students may ignore place value in partial products or omit a decomposed factor part. They may present an algorithm without connecting it to the model.

How to Assess It

Ask students to solve 34 times 26 with an area model and matching equations. Require labels for every partial product.

Lesson moves

Ways to Teach It

  1. Build an area model for a two-digit product with base-ten blocks and label each partial product.

  2. Ask students how decomposing 26 into 20 and 6 explains the partial products in 34 times 26.

  3. Play model-product match with arrays, expanded equations, and completed multi-digit products.

  4. Calculate total seats, items, or tiles arranged in equal rows using a model and equation.

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Printable NY-4.NBT.5 Worksheet

Preview of the NY-4.NBT.5 printable worksheet

A ready-to-print activity worksheet aligned to NY-4.NBT.5, with an answer key for the teacher on its own page. No account needed.

PDF, US Letter, prints cleanly in black and white.

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