Help students understand functions as real input–output relationships using authentic physics experiments. In this interactive worksheet, students analyze data from a school robotics lab by graphing given linear functions that model motion, battery drain, and battery charging.
Rather than disconnected graphing exercises, this activity uses a single, cohesive storyline to show how functions are used in real science and engineering contexts.
Included Scenarios
Analyze distance vs. time for a robot moving at constant speed
- Battery Drain During Motion
Graph a decreasing function showing battery usage over time
Interpret a linear function modeling battery recharge
Each scenario builds on the previous one, reinforcing understanding without overwhelming students.
What Students Will Do
- Graph given linear functions from real-world physics experiments
- Create tables of values and plot points on coordinate planes
- Interpret slope as rate of change and y-intercept as starting value
- Compare positive and negative linear relationships
- Explain what graphs reveal about motion, energy use, and charging behavior
Why Teachers Love This Worksheet
- Perfectly aligned to CCSS 8.F.A.1
- Focuses on interpreting given functions, not equation building
- Uses realistic physics contexts students find engaging
- Supports randomization, giving students unique values while keeping concepts consistent
- Auto-graded friendly and ideal for interactive platforms
Classroom Use Ideas
- Introductory lesson for the Functions unit
- Cross-curricular math and science connection
- Independent practice or station activity
- Assessment of graph interpretation skills
Students will graph and interpret given linear functions that model real-world physics experiments. They will analyze how changes in time affect distance traveled and battery level, identify rates of change and starting values, and explain what the graphs reveal about each physical situation.
This worksheet supports randomization, meaning students may receive different values for speed, battery drain rate, or charging rate. This ensures unique graphs and answers for each student while preserving the same learning goals.
💡 Tip: When assigning this activity to your classroom, you can optionally enable randomization to give each student a unique version of the problems. When you re-assign the same worksheet, each student will get a new set of questions, helping them master the content through repeated practice.