Maryland Math 6.AT.D.11.a
The Standard
- 6.AT.D.11
- Use variables to represent two quantities in context that change in relationship to one another.
Write an equation (one-step) to express one quantity, thought of as the dependent variable, in terms of the other quantity, thought of as the independent variable.
Maryland College and Career Ready Standards for Mathematics (2025) · REPRESENT AND ANALYZE QUANTITATIVE RELATIONSHIPS BETWEEN DEPENDENT AND INDEPENDENT VARIABLES
Teacher's field guide
What This Standard Means
What Students Need to Do
- Students decide which quantity changes on its own and which quantity depends on it. They write a one-step equation that gives the dependent quantity for any value of the other quantity.
What Mastery Looks Like
- A student can name what each variable means and write an equation such as c = 2a for apples costing $2 each. They can use the equation to find the cost of 5 apples.
Common Misconceptions
- Students may swap the variables or write c = a + 2 when each apple costs $2. Some write an equation for one purchase, such as c = 10, instead of a rule for any number of apples.
How to Assess It
- Exit ticket: A pack holds 4 pencils. Let p be the number of packs and n be the total pencils. Write an equation for n and use it to find the total for 6 packs.
Lesson moves
Ways to Teach It
Have students build groups of 3 cubes, record the number of groups and total cubes, then write an equation linking them.
Ask: A printer makes 6 pages per minute. Which quantity depends on the other? Write an equation and explain your choice.
Give pairs cards showing one-step equations and input-output tables; have them match each equation to its table.
Show a grocery sign that says apples cost $2 each; have students write a cost equation and price 5 apples.
Free download
Printable 6.AT.D.11.a Worksheet
A ready-to-print activity worksheet aligned to 6.AT.D.11.a, 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
- 7.AT.C.8
Use variables to represent quantities and write and solve equations to model and reason about relationships in context.
- 8.AT.D.10.a
Given two input-output pairs, a graph, a table, or a description of a relationship, determine the rate of change and initial value and write the linear equation...
- 3.AT.A.2.a
Represent these problems using equations with a letter standing for the unknown quantity.
- 4.AT.A.4.a
Represent these problems using equations with a letter standing for the unknown quantity.
Turn this exact standard into a lesson
Grade, subject, topic, and the complete standard are prefilled. Create one free, no account needed.
Also for this standard:Make a WorksheetMake a QuizMake a Sub Lesson