Module 4: Graphing Linear Functions
Curriculum Objectives
- Graph ordered pairs of numbers on the coordinate plane
- Identify the domain, range, and inverse of a relation
- Determine whether a given relation represents a function
- Determine the slope of a line passing through two given coordinates
- Write a linear equation in point-slope, slope-intercept, and standard forms
- Graph linear equations by using tables, intercepts, and slope-intercept form
- Determine whether two lines are parallel, perpendicular, or neither based on slopes
- Find the coordinates of the midpoint of a line segment
- Construct scatter plots and determine the equation of a line of best fit
- Interpret the slope as a rate of change in real-world contexts
Flexible Projects & Lab Activities
11 Projects AvailableProjects are flexible unit-level learning investigations chosen by the teacher. They belong to the module in general rather than specific days, giving educators freedom to schedule or assign them at their discretion throughout the unit.
Lab Activity: Slope Activity w/Stairs
Physical measurement of campus staircase rise and run to calculate slope gradients.
Project: Line of Best Fit
Constructing scatter plots and calculating linear regression equations for bivariate data.
Project: Height and Shoe Size
Statistical correlation study examining physical growth proportions.
Project: Hunt for Royal Treasures
Coordinate grid treasure hunt navigating linear equations and slope intersections.
Lab Activity: Shadows
Similar triangles and rate of change in sunlight shadow lengths throughout the day.
Project: Family of Functions
Investigating parameter alterations of m and b in y = mx + b.
Project: Trends
Tracking longitudinal demographic and economic trends with linear models.
Project: Bar Graphs and Scatter Plots
Multivariable data representation and graphical comparisons.
Project: Feel the Beat!
Heart rate exercise response and post-cardio recovery rate curves.
Lab Activity: Bouncing Nested Balloons
Drop height vs. rebound height linear elastic response modeling.
Lab Activity: Quadrilaterals and Coordinates
Coordinate geometry proofs of geometric shapes using distance and slope formulas.