6.6.C
The Standard
represent a given situation using verbal descriptions, tables, graphs, and equations in the form y = kx or y = x + b
Texas Essential Knowledge and Skills for Mathematics
Teacher's field guide
What This Standard Means
What Students Need to Do
- Students move between a situation, a written description, a table, a graph, and an equation. They identify whether the output is a multiple of the input or the input plus a fixed amount.
What Mastery Looks Like
- Students can decide whether a situation uses equal multiplication or starts with a fixed amount and adds one each time. Their table, graph, equation, and verbal description show the same relationship.
Common Misconceptions
- Students may confuse multiplying by a constant with adding a fixed amount. They may graph a multiplicative relationship with a nonzero starting point, or treat the added value as the rate.
How to Assess It
- Exit ticket: Represent “A plant starts at 5 centimeters and grows 1 centimeter each week” with words, a table, a graph, and an equation.
Lesson moves
Ways to Teach It
Use cups and counters to build equal groups for y = 3x, then add four loose counters to model y = x + 4.
Compare y = 4x and y = x + 4: What does 4 mean in each, and how will their graphs differ?
Give groups shuffled situation, table, graph, and equation cards to match, then have them justify each completed set.
Model notebook costs at $3 each and plant growth from 5 centimeters, then represent each situation in four ways.
Keep exploring
Related Standards
- 8.5.F
distinguish between proportional and non-proportional situations using tables, graphs, and equations in the form y = kx or y = mx + b, where b ≠ 0
- 8.5.B
represent linear non-proportional situations with tables, graphs, and equations in the form of y = mx + b, where b ≠ 0
- 8.5.A
represent linear proportional situations with tables, graphs, and equations in the form of y = kx
- 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
Turn this exact standard into a lesson
Grade, subject, topic, and the complete standard are prefilled. Create one free, no account needed.