Virginia SOL 6.CE.2

6.CE.2 is a Standards of Learning standard. These are the knowledge and skills expectations under it.

• 6.CE.2.a

  Demonstrate/model addition, subtraction, multiplication, and division of integers using pictorial representations or concrete manipulatives.*

• 6.CE.2.b

  Add, subtract, multiply, and divide two integers.*

• 6.CE.2.c

  Simplify an expression that contains absolute value bars | | and an operation with two integers (e.g., –|5 – 8| or |−12| 8 ) and represent the result on a numbe...

• 6.CE.2.d

  Estimate, determine, and justify the solution to one and two-step contextual problems, involving addition, subtraction, multiplication, and division with intege...

01

What Students Need to Do

Students use counters, diagrams, and number lines to explain integer calculations. They simplify expressions that combine absolute value with an integer operation. They estimate and solve one-step and two-step situations, then justify the sign and size of each answer.

02

What Mastery Looks Like

Students choose suitable operations, calculate accurately, and use estimates to check their answers. They model each operation and explain why the answer has its sign. They simplify absolute value expressions in the correct order and plot results accurately on a number line.

03

Common Misconceptions

Students may think subtraction always makes a number smaller or that any calculation containing a negative number has a negative result. They often apply multiplication sign rules to addition or treat absolute value bars like parentheses. Some choose operations from keywords without considering the situation.

04

How to Assess It

Exit ticket: “A diver is at −18 feet, rises 7 feet, then descends 12 feet. Estimate and calculate the final position, show a number line, and explain why the sign makes sense.”

1. 01

   Use two-color counters and operation mats to model 5 + (−8), 5 − (−8), 3(−4), and (−12) ÷ 3 before writing equations.

2. 02

   Ask, “Why does subtracting −6 give the same result as adding 6?” Students explain with a number line and words.

3. 03

   Play Integer Target: draw two integer cards and an operation card, calculate, then place the result or its absolute value on a number line.

4. 04

   Use a bank ledger with deposits, withdrawals, and repeated fees; students estimate, calculate the balance, and explain each operation.

• 7.CE.1

  The student will estimate, solve, and justify solutions to multistep contextual problems involving operations with rational numbers.

• 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...

• 6.CE.1

  The student will estimate, demonstrate, solve, and justify solutions to problems using operations with fractions and mixed numbers, including those in context. 

• 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...