Speed and Velocity

Overview

In this lesson, students learn to calculate speed and velocity and distinguish between them using motion examples and data from class investigations and worked problems. They connect these ideas to how systems in motion change over time.

Learning intentions

• Students will be able to differentiate between speed and velocity using everyday examples.
• Students will calculate average speed from distance and time.
• Students will describe velocity as speed with direction.
• Students will communicate solutions clearly using appropriate units and variables.

Success criteria

• I can explain, in my own words, how speed and velocity differ.
• I can calculate average speed and show my working.
• I can interpret velocity as having both magnitude (speed) and direction.
• I can use correct units (metres, seconds) and present answers consistently.

Curriculum links

• Students investigate and describe motion using distance, time, and displacement, and relate these to measurable quantities.
• Students develop and use mathematical relationships to solve science problems and interpret results.
• Students use evidence from observations and calculations to support explanations about motion.

Lesson structure (45 minutes)

1. 2 minutes — Quick activation (Do Now): Students receive a short prompt: “A bike travels 20 m in 5 s. What is its speed? Does direction matter?” Students answer individually in notebooks.

2. 5 minutes — Whole-class model: Teacher reviews the Do Now and defines speed (distance over time) and velocity (speed with direction). Use a simple board example: “20 m in 5 s toward the east.”

3. 10 minutes — Mini-lesson with worked examples: Teacher models two calculations:

• Average speed: distance ÷ time, including units.
• Velocity interpretation: same speed but different direction (e.g., east vs west) and how the “answer changes” in words or sign. Students copy a short “formula box” and one worked example.

4. 8 minutes — Guided practice (paired calculations): Pairs complete 3 short problems on motion statements. Example set:

• “Car travels 150 m in 10 s.”
• “Runner moves 30 m in 6 s north.”
• “Bus moves 60 km in 2 h west.” Teacher circulates, focusing on correct unit conversions and clear direction statements.

5. 10 minutes — Hands-on/data connection (speed station): Set up a simple “motion” task: students observe or time a cart/skateboard moving a short marked distance (teacher-led demonstration or stopwatch timing in small groups). Each group records:

• distance (m or cm converted to m)
• time (s) from 2 trials
• average speed calculation Then they answer: “Is this speed or velocity?” (Velocity if direction is included in the description.)

6. 7 minutes — Exit ticket (individual assessment): Students answer 3 items:

• Calculate average speed for given distance and time.
• State velocity for the same motion including direction.
• Explain in one sentence why velocity is not the same as speed.

7. 3 minutes — Closure: Teacher highlights 2–3 student solutions (anonymous) and reinforces: speed is magnitude; velocity includes direction. Students underline the key success criterion they met most confidently.

Resources

• Stopwatch or phone timers (one per group or shared)
• Marked track or classroom “distance” tape measure (e.g., 2–5 m)
• Distance/time data sheets (blank tables)
• Pencil, calculator (optional), student notebooks
• Board or slides with speed/velocity examples
• Problem set for guided practice (3–4 questions)
• Exit ticket slips

Assessment

• Formative: teacher observation during guided practice and station work (accuracy with calculations, units, and direction language).
• Formative: exit ticket checks understanding of speed vs velocity and correct computation of average speed.
• Success criteria alignment: students self-check against “I can…” statements at lesson end (quick verbal or notebook check).

Differentiation

• Support for ESL learners:
• Provide sentence frames: “Average speed is ___ because speed = distance ÷ time.” “The velocity is ___ in the ___ direction.”
• Use bilingual-friendly visuals (arrows for direction) and consistent unit labels on worksheets.
• Allow oral explanation in pairs before writing answers.
• Support for SEN/learning needs:
• Offer a worked example scaffold with partially completed steps for one problem in the guided set.
• Provide a unit-conversion reminder card (cm to m, minutes to seconds) if needed.
• Shorten calculations to focus on one concept at a time (first speed, then direction).
• Extension for advanced learners:
• Add a challenge: compare two motions with the same speed but different distances/times, and discuss whether “average” masks changes.
• Ask for a velocity in words that includes magnitude and direction, and then convert direction to a positive/negative convention.
• Classroom management supports:
• Pre-teach roles for station work (timer, recorder, calculator, reporter) to ensure equitable participation.

Curriculum links (competencies and practices)

• Students develop scientific thinking by making predictions and using evidence from measurements.
• Students apply scientific and mathematical processes to calculate, interpret, and communicate findings.
• Students communicate using appropriate units, representations, and clear explanations of motion.