Study Guide — 4.NBT.B.6

Find whole-number quotients and remainders with up to four-digit divi…

Understand that digit position determines value — ones, tens, hundreds, and beyond.

What this standard means

• Find whole-number quotients and remainders with up to four-digit dividends and one-digit divisors, using strategies based on place value, the properties of operations, and/or the relationship between multiplication and division. Illustrate and explain the calculation by using equations, rectangular arrays, and/or area models.
• Apply find whole-number quotients and remainders with up to four-digit divi… with models and explanation
• Identifies value of each digit

_See printable PDF for diagram._

How to use the 20 practice sets

| Sets | When to use | | --- | --- | | 1–5 | Intro — explore together, short written items | | 6–10 | Core skills — diagrams and written practice | | 11–15 | Mixed review — explain thinking | | 16–20 | Stretch — word problems and mastery tasks |

Pacing: 10–15 minutes per session.

How to practice

1. Use base-ten blocks or place-value charts 2. Write numbers in expanded form 3. Compare numbers starting with the largest place

_See printable PDF for diagram._

Common mistakes

• Treating digits as separate counts
• Zeros in the middle of numbers

Review and practice tests

1. Start Review 1/10 when sets 1–3 feel comfortable. 2. Move up one review level with little help. 3. Use Practice Test 4/10–6/10 for mid-standard checks. 4. Practice Test 10/10 is the mastery bar for 4.NBT.B.6.

• [ ] Identifies value of each digit
• [ ] Writes expanded form
• [ ] Reads and writes numbers in standard form

Materials for this standard

• Practice Problems — 20 printable sets
• Review — 10 difficulty levels
• Practice Test — 10 difficulty levels
• Answer key — for parents and tutors