Virginia SOL 5.CE.3.c

5.CE.3.c is a Standards of Learning standard. These are the knowledge and skills expectations under it.

• 5.CE.3.c.i

  quotients do not exceed four digits with or without a decimal point

• 5.CE.3.c.ii

  quotients may include whole numbers, tenths, hundredths, or thousandths

• 5.CE.3.c.iii

  divisors are limited to a single digit whole number or a decimal expressed as tenths

• 5.CE.3.c.iv

  no more than one additional zero will need to be annexed.

01

What Students Need to Do

Students estimate a reasonable quotient, then divide decimal numbers by one-digit whole numbers or tenths decimals. They use place-value strategies or a written algorithm, explain decimal placement, and check the result with multiplication.

02

What Mastery Looks Like

A student can estimate 7.35 ÷ 0.6 as about 12, calculate 12.25, and verify that 12.25 × 0.6 = 7.35. They keep place values aligned and explain why the answer is reasonable.

03

Common Misconceptions

Students often make the divisor whole but fail to make the same place-value change to the dividend. They may misplace the quotient decimal, stop at a remainder instead of adding a trailing zero, or accept an answer that conflicts with their estimate.

04

How to Assess It

Exit ticket: Estimate 7.35 ÷ 0.6, find the exact quotient with written work, and verify using multiplication. Explain why changing both numbers by the same power of ten preserves the quotient.

1. 01

   Give pairs 48 counters worth 0.1 each; students make groups worth 0.6 and connect the eight groups to written division.

2. 02

   Ask why 7.2 ÷ 0.8 and 72 ÷ 8 have the same quotient; students write a two-sentence place-value explanation.

3. 03

   Deal prepared dividend and divisor cards; partners estimate, divide, and earn a point only when the exact quotient fits the estimate.

4. 04

   Present 7.35 meters of ribbon cut into 0.6-meter pieces; students calculate full pieces and explain what the decimal part means.

• 4.CE.4.a

  Apply strategies (e.g., rounding to the nearest whole number, using compatible numbers) and algorithms, including the standard algorithm, to estimate and determ...

• 4.CE.2.i

  Apply strategies (e.g., rounding, compatible numbers, place value) and algorithms, including the standard algorithm, to estimate and determine the quotient of t...

• 5.CE.3.b.iii

  Estimate and determine the product of two numbers using strategies and algorithms, including the standard algorithm, when given: a two-digit factor and a two-di...

• 3.CE.1.c

  Apply strategies (e.g., place value, properties of addition, other number relationships) and algorithms, including the standard algorithm, to determine the sum ...