Grade 6Math

Operation Key Words and Phrases

Operation key words and phrases for algebraic expressions is a Grade 6 skill in Big Ideas Math Advanced 1, Chapter 3: Algebraic Expressions and Properties. Students identify mathematical operation words in verbal descriptions — like "the product of," "exceeds by," or "divided equally among" — to correctly translate real-world statements into algebraic expressions with variables.

Key Concepts

Each mathematical operation has specific key words and phrases that signal its use in verbal expressions: Addition: sum of, more than, increased by, added to, plus, total of Subtraction: less than, decreased by, difference of, subtracted from, minus, fewer than Multiplication: product of, times, twice, multiplied by, of Division: quotient of, divided by, per, ratio of.

Common Questions

What are key words for writing algebraic expressions?

Addition: sum, plus, more than, increased by, combined, total. Subtraction: difference, minus, less than, decreased by, fewer. Multiplication: product, times, multiplied by, of, twice, double. Division: quotient, divided by, per, split equally among.

How do key words help you write algebraic expressions?

Key words signal which operation to use and what order to write the terms. For example, "the quotient of a number and 4" means n/4, while "4 divided by a number" means 4/n — the key words also determine order.

What is tricky about key phrases like "less than"?

"Less than" reverses the order. "5 less than x" means x - 5, not 5 - x. Similarly, "more than" may need careful ordering. Always translate by reading what operation comes before and what comes after the unknown.

Where are algebraic expression key words taught in Big Ideas Math Advanced 1?

Operation key words for algebraic expressions are covered in Chapter 3: Algebraic Expressions and Properties of Big Ideas Math Advanced 1, the Grade 6 math textbook.