Virginia SOL 4.CE.2
SOL Standard (Knowledge and Skills Cluster)
The student will estimate, represent, solve, and justify solutions to single-step and multistep problems, including those in context, using multiplication with whole numbers, and single-step problems, including those in context, using division with whole numbers; and recall with automaticity the multiplication facts through 12 × 12 and the corresponding division facts.
Virginia Standards of Learning for Mathematics
Cluster contents
Knowledge and Skills in This Standard
4.CE.2 is a Standards of Learning standard. These are the knowledge and skills expectations under it.
- 4.CE.2.a
Determine and justify whether an estimate or an exact answer is appropriate when solving contextual problems involving multiplication and division of whole numb...
- 4.CE.2.b
Recall with automaticity the multiplication facts through 12 × 12 and the corresponding division facts.*
- 4.CE.2.c
Create an equation using addition, subtraction, multiplication, and division to represent the relationship between equivalent mathematical expressions (e.g., 4 ...
- 4.CE.2.d
Identify and use the appropriate symbol to distinguish between expressions that are equal and expressions that are not equal, using addition, subtraction, multi...
- 4.CE.2.e
Determine all factor pairs for a whole number 1 to 100, using concrete, pictorial, and numerical representations.
- 4.CE.2.f
Determine common factors and the greatest common factor of no more than three numbers.
- 4.CE.2.g.i
a two-digit factor and a one-digit factor;*
- 4.CE.2.g.ii
a three-digit factor and a one-digit factor;* or
- 4.CE.2.g.iii
a two-digit factor and a two-digit factor.*
- 4.CE.2.h
Estimate, represent, solve, and justify solutions to single-step and multistep contextual problems that involve multiplication with whole numbers.
- 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...
- 4.CE.2.j
Estimate, represent, solve, and justify solutions to single-step contextual problems involving division with whole numbers.
- 4.CE.2.k
Interpret the quotient and remainder when solving a contextual problem.
Teacher's field guide
What This Cluster Means
What Students Need to Do
- Students estimate and calculate whole-number products and quotients, including multiplication problems with several steps. They recall multiplication and division facts, represent relationships with equations, and interpret remainders in context. They also find factor pairs, common factors, and decide whether two expressions are equal.
What Mastery Looks Like
- A student accurately multiplies two-digit factors and divides two- or three-digit numbers by one-digit divisors. They use basic facts quickly, find factor pairs and common factors, and compare expressions correctly. They explain estimates, exact answers, and remainders using the context.
Common Misconceptions
- Students may treat the equal sign as a signal to calculate rather than a statement that two values match. They may confuse factors with multiples, misalign place values, or forget partial products. They may ignore remainders or round them without using the problem context.
How to Assess It
- Give this exit ticket: Estimate and solve 36 × 24, solve 187 ÷ 6 and explain the remainder, list all factor pairs of 24, and complete 8 × 6 __ 96 ÷ 2. Ask students to label each numerical answer as exact or estimated.
Lesson moves
Ways to Teach It
Give pairs 36 counters and grid paper to build every possible array, then record each factor pair as a multiplication equation.
Ask students to write when a cafeteria manager needs an exact answer and when an estimate is enough, then defend each choice.
Play fact-family bingo using multiplication facts through 12 × 12 and matching division facts called aloud.
Use a class party budget to estimate and calculate snack costs, then divide the snacks equally and interpret any remainder.
Free download
Printable 4.CE.2 Worksheet
A ready-to-print activity worksheet aligned to 4.CE.2, with an answer key for the teacher on its own page. No account needed.
PDF, US Letter, prints cleanly in black and white.
Download the worksheetKeep exploring
Related Standards
- 3.CE.2
The student will recall with automaticity multiplication and division facts through 10 × 10; and represent, solve, and justify solutions to single-step contextu...
- 5.CE.3
The student will estimate, represent, solve, and justify solutions to single-step and multistep problems, including those in context, using addition, subtractio...
- 5.CE.1
The student will estimate, represent, solve, and justify solutions to single-step and multistep contextual problems using addition, subtraction, multiplication,...
- 4.CE.1
The student will estimate, represent, solve, and justify solutions to single-step and multistep problems, including those in context, using addition and subtrac...
Turn this cluster into a lesson
Grade, subject, topic, and the complete cluster are prefilled. Create one free, no account needed.