Virginia SOL 5.PFA.2.a
The Standard
Describe the concept of a variable (presented as a box, letter, or other symbol) as a representation of an unknown quantity.
Virginia Standards of Learning for Mathematics · The student will investigate and use variables in contextual problems.
Teacher's field guide
What This Standard Means
What Students Need to Do
- Students explain that a symbol can stand for a number that is not yet known. They identify what a box, letter, or shape means in an equation or situation.
What Mastery Looks Like
- Given a short situation, a student can choose a symbol for the missing amount and explain its meaning. The student can interpret different symbols without assuming only x can be used.
Common Misconceptions
- Students may think x always means multiplication or that a letter's value comes from its alphabet position. They may name an object, such as apples, instead of the unknown number of apples.
How to Assess It
- Exit ticket: “A bag had 12 marbles. After some were added, it had 31. Write an equation and explain what your variable represents.”
Lesson moves
Ways to Teach It
Hide counters under a cup labeled n, then have students explain what n represents before revealing the counters.
Display “24 books plus b books equals 60 books” and ask students to explain why b represents a number, not a book.
Give pairs matching cards with word problems, equations, and variable descriptions, then have students find complete sets.
Show a receipt with a $20 total and one covered price, then use p to represent and describe the hidden price.
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Printable 5.PFA.2.a Worksheet
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Related Standards
- 5.PFA.2.b
Write an equation (with a single variable that represents an unknown quantity and one operation) from a contextual situation, using addition, subtraction, multi...
- 6.PFA.3.a
Identify and develop examples of the following algebraic vocabulary: equation, variable, expression, term, and coefficient.
- 5.PFA.2.c
Use an expression with a variable to represent a given verbal expression involving one operation (e.g., “5 more than a number” can be represented by y + 5).
- 7.PFA.2.b
Represent equivalent algebraic expressions in one variable using concrete manipulatives and pictorial representations (e.g., colored chips, algebra tiles).
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