Virginia SOL 6.PFA.3

6.PFA.3 is a Standards of Learning standard. These are the knowledge and skills expectations under it.

• 6.PFA.3.a

  Identify and develop examples of the following algebraic vocabulary: equation, variable, expression, term, and coefficient.

• 6.PFA.3.b

  Represent and solve one-step linear equations in one variable, using a variety of concrete manipulatives and pictorial representations (e.g., colored chips, alg...

• 6.PFA.3.c

  Apply properties of real numbers and properties of equality to solve a one-step equation in one variable. Coefficients are limited to integers and unit fraction...

• 6.PFA.3.d

  Confirm solutions to one-step linear equations in one variable using a variety of concrete manipulatives and pictorial representations (e.g., colored chips, alg...

• 6.PFA.3.e

  Write a one-step linear equation in one variable to represent a verbal situation, including those in context.

• 6.PFA.3.f

  Create a verbal situation in context given a one-step linear equation in one variable.

01

What Students Need to Do

Students identify equations, variables, expressions, terms, and coefficients in examples. They write and solve one-step equations using models, inverse operations, and properties of equality. They connect equations to verbal situations and check solutions.

02

What Mastery Looks Like

Students solve equations such as x + 7 = 12, 4x = 20, and 1/2x = 6 by changing both sides equally. They show the solution with a model or equation steps and confirm it by substitution. They write an equation from a situation and create a matching situation for a given equation.

03

Common Misconceptions

Students may treat the equals sign as a signal to calculate rather than as a statement that two amounts are equal. They may change only one side of an equation, miss a negative sign, or confuse a coefficient with a constant term.

04

How to Assess It

Exit ticket: “Three identical notebooks cost $18. Let n be one notebook’s cost. Write and solve an equation, circle the coefficient, and check your solution.”

1. 01

   Use a balance scale, covered cups, and counters to model x + 4 = 9, then remove four counters from each side.

2. 02

   Ask students to explain why dividing both sides of 3x = 18 by 3 keeps the equation balanced.

3. 03

   Run a card match with equation, solution, algebra tile model, and context cards that belong in sets of four.

4. 04

   Give grocery prices and total costs, then have students write and solve equations for the unknown price or number of items.

• 7.PFA.4

  The student will write and solve one- and two-step linear inequalities in one variable, including problems in context, that require the solution of a one- and t...

• 8.PFA.5

  The student will write and solve multistep linear inequalities in one variable, including problems in context that require the solution of a multistep linear in...

• 7.PFA.3

  The student will write and solve two-step linear equations in one variable, including problems in context, that require the solution of a two-step linear equati...

• 8.PFA.4

  The student will write and solve multistep linear equations in one variable, including problems in context that require the solution of a multistep linear equat...