CCSS.Math.Content.6.EE.C
The standard
Represent and analyze quantitative relationships between dependent and independent variables.
Common Core State Standards for Mathematics
What this standard means
Students need to connect two changing quantities, decide which one controls the other, and show the relationship with tables, graphs, equations, and words. They should see that one variable can depend on another, like total cost depending on number of tickets.
Mastery looks like moving between a situation, a table, a graph, and an equation without losing the meaning of the variables. Students often mix up independent and dependent variables, label graph axes backwards, or write an equation that matches the numbers but not the story.
Ways to teach it
- Use cups and counters to model y = 3x, then have students build a table and graph from their stacks.
- Ask, “Which variable depends on the other, and how do you know?” using taxi fare, babysitting pay, or snack prices.
- Give one table and one graph, and have students write the equation and identify the independent variable in two minutes.
- Have students compare phone data plans by writing equations for total monthly cost based on gigabytes used.
Plan a lesson for CCSS.Math.Content.6.EE.C
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Related standards
- CCSS.Math.Content.HSS-ID.B.6
Represent data on two quantitative variables on a scatter plot, and describe how the variables are related.
- CCSS.Math.Content.5.OA.B
Analyze patterns and relationships.
- CCSS.Math.Content.6.EE.C.9
Use variables to represent two quantities in a real-world problem that change in relationship to one another; write an equation to express one quantity, thought...
- CCSS.Math.Content.7.RP.A
Analyze proportional relationships and use them to solve real-world and mathematical problems.