5.3.G
The Standard
solve for quotients of decimals to the hundredths, up to four-digit dividends and two-digit whole number divisors, using strategies and algorithms, including the standard algorithm
Texas Essential Knowledge and Skills for Mathematics
Teacher's field guide
What This Standard Means
What Students Need to Do
- Students divide quantities by whole numbers and continue the calculation into tenths and hundredths. They use estimation, place value, partial quotients, or the standard algorithm to find and check answers.
What Mastery Looks Like
- A student can find that 1,275 ÷ 12 = 106.25 using an efficient method. The student estimates first, places the decimal correctly, and verifies the answer by multiplying.
Common Misconceptions
- Students may stop at a remainder instead of continuing into tenths and hundredths. They may misplace the decimal, omit a placeholder zero, or make multiplication and subtraction errors during division.
How to Assess It
- Give this exit ticket: Solve 1,275 ÷ 12, show your work, and check the quotient with multiplication.
Lesson moves
Ways to Teach It
Use play money to share $24.60 among 12 envelopes, trading dollars for dimes and cents as needed.
Compare partial quotients and the standard algorithm for 1,275 ÷ 12, then explain where the decimal comes from.
Play a card match game pairing division expressions, reasonable estimates, and exact decimal quotients.
Find each student’s cost when a $1,547 field trip bill is shared equally among 20 students.
Keep exploring
Related Standards
- 4.4.F
use strategies and algorithms, including the standard algorithm, to divide up to a four-digit dividend by a one-digit divisor
- 4.4.A
add and subtract whole numbers and decimals to the hundredths place using the standard algorithm
- 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
- 5.3.F
represent quotients of decimals to the hundredths, up to four-digit dividends and two-digit whole number divisors, using objects and pictorial models, including...
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