Georgia 8.FGR.6.2
The Standard
Use the equation of a linear model to solve problems in the context of bivariate measurement data, interpreting the slope and intercepts.
Georgia's K-12 Mathematics Standards · Solve practical, linear problems involving situations using bivariate quantitative data.
Teacher's field guide
What This Standard Means
What Students Need to Do
- Students use a linear equation based on two measured quantities to calculate or predict an unknown value. They explain the slope and axis intercepts using the situation, correct units, and a reasonable domain.
What Mastery Looks Like
- Students correctly substitute a value or solve for an unknown, then label the answer with units. They explain that the slope is a rate of change and decide whether each intercept makes sense in the situation.
Common Misconceptions
- Students may confuse which variable is the input and which is the output. They may swap the slope and starting value, ignore units, or treat every prediction as exact. They may also interpret an intercept even when it falls outside the reasonable context or data range.
How to Assess It
- Give students the model L = -1.5t + 18 for a burning candle, where L is length in centimeters and t is hours. Ask them to find L after 6 hours and explain the slope, y-intercept, and x-intercept with units.
Lesson moves
Ways to Teach It
Hang weights from a rubber band, measure its length, build a linear model, and explain the slope and intercept.
Ask students to write which parts of a linear model describe the starting amount, change per unit, and point when the amount reaches zero.
Play a matching game with equation cards, graph cards, context cards, and slope or intercept interpretation cards.
Use class height and arm-span measurements to make predictions, then discuss why the intercept may not have a useful real-world meaning.
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Related Standards
- 8.FGR.5.5
Write and explain the equations y = mx + b (slope-intercept form), Ax + By = C (standard form), and (y - y₁) = m(x - x₁) (point-slope form) as defining a linear...
- 8.FGR.6
Solve practical, linear problems involving situations using bivariate quantitative data.
- 8.FGR.6.3
Explain the meaning of the predicted slope (rate of change) and the predicted intercept (constant term) of a linear model in the context of the data.
- 8.FGR.7.1
Interpret and solve relevant mathematical problems leading to two linear equations in two variables.
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