4.4.F
The Standard
use strategies and algorithms, including the standard algorithm, to divide up to a four-digit dividend by a one-digit divisor
Texas Essential Knowledge and Skills for Mathematics
Teacher's field guide
What This Standard Means
What Students Need to Do
- Students solve division problems using place-value strategies, partial quotients, or the standard algorithm. They regroup accurately, handle remainders, and check answers with multiplication or estimation.
What Mastery Looks Like
- Students divide accurately with place-value strategies and the standard algorithm, including problems with zeros or remainders. They estimate first and use multiplication to check the result.
Common Misconceptions
- Students may divide each digit separately without regrouping or place quotient digits in the wrong place. They may omit a zero in the quotient or leave a remainder equal to or greater than the divisor.
How to Assess It
- Give this exit ticket: Solve 1,428 ÷ 7 using the standard algorithm. Check your quotient with multiplication.
Lesson moves
Ways to Teach It
Use base-ten blocks to model 936 ÷ 3, and record each regrouping step beside the model.
Compare partial quotients and the standard algorithm for 1,248 ÷ 4, then explain why both methods give the same answer.
Draw dividend and divisor cards, solve the division problem, and earn a point by checking the quotient with multiplication.
Pack 1,365 pencils equally into five boxes, then find how many pencils go in each box and verify the result.
Keep exploring
Related Standards
- 3.4.G
use strategies and algorithms, including the standard algorithm, to multiply a two-digit number by a one-digit number. Strategies may include mental math, parti...
- 5.3.G
solve for quotients of decimals to the hundredths, up to four-digit dividends and two-digit whole number divisors, using strategies and algorithms, including th...
- 5.3.C
solve with proficiency for quotients of up to a four-digit dividend by a two-digit divisor using strategies and the standard algorithm
- 4.4.D
use strategies and algorithms, including the standard algorithm, to multiply up to a four-digit number by a one-digit number and to multiply a two-digit number ...
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