6.6.B
The Standard
write an equation that represents the relationship between independent and dependent quantities from a table
Texas Essential Knowledge and Skills for Mathematics
Teacher's field guide
What This Standard Means
What Students Need to Do
- Students identify which table quantity is the input and which is the output. They find the rule connecting the columns and write it as an equation using variables.
What Mastery Looks Like
- A student correctly labels the independent and dependent quantities. They write an equation such as y = 3x + 2 and verify it with every row.
Common Misconceptions
- Students may reverse the input and output variables. They may describe only one row, use the wrong operation, or miss a fixed starting amount.
How to Assess It
- Give the table x: 1, 2, 3, 4 and y: 5, 8, 11, 14. Ask students to label each quantity and write the equation relating them.
Lesson moves
Ways to Teach It
Give pairs cups and counters: place three fixed counters plus two per cup, make a table, and write the equation.
Ask, "How can you prove your equation works for every row, not just one row?" Students write and compare explanations.
Play a card match game with separate cards for tables, equations, and verbal rules, then have students justify each matched set.
Use a taxi fare table with a starting fee and cost per mile, then write an equation for the total fare.
Keep exploring
Related Standards
- 7.10.A
write one-variable, two-step equations and inequalities to represent constraints or conditions within problems
- 8.5.A
represent linear proportional situations with tables, graphs, and equations in the form of y = kx
- 6.6.A
identify independent and dependent quantities from tables and graphs
- 8.5.I
write an equation in the form y = mx + b to model a linear relationship between two quantities using verbal, numerical, tabular, and graphical representations
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