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3.4 Time, Distance and Speed

Mathematics · Grade 9 · 10 lessons in the design

What this covers

  • Speed in km/h and m/s
  • Average speed
  • Acceleration
  • Longitudes and local time

What you will be able to do

  • work out speed in km/h and m/s in real-life situations
  • work out average speed in real-life situations
  • determine velocity in real-life situations
  • work out acceleration in real-life situations
  • identify the longitudes on the globe
  • relate longitudes to time on the globe
  • determine the local time of places on the earth along different longitudes
  • appreciate the use of time and distance in real-life situations

Key questions

“How do we observe speed in daily activities?”

“Why does time vary in different places of the world?”

Lessons

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  1. Speed: distance divided by time
    40 min · 1 practice tasks · quiz
    Speed is not measured directly. It is what a distance becomes when you divide it by the time it took.
  2. Speed in km/h and in m/s
    40 min · 1 practice tasks · quiz
    One number, 3.6, converts a speed either way between kilometres per hour and metres per second.
  3. Finding the distance or the time
    40 min · 1 practice tasks · quiz
    The same relationship rearranges to give distance from speed and time, or time from distance and speed.
  4. Average speed
    40 min · 1 practice tasks · quiz
    Add all the distance, add all the time, then divide once. Never average the leg speeds.
  5. Velocity: speed with a direction
    40 min · 1 practice tasks · quiz
    Two vehicles can share a speed and still have different velocities, because velocity carries a direction.
  6. Acceleration
    40 min · 1 practice tasks · quiz
    Acceleration is the change of velocity in each second, and a negative answer means slowing down.
  7. Measuring speed at a track event
    40 min · 1 practice tasks · quiz
    Take the class outside and measure distance, time, speed and acceleration on a real run.
  8. Longitudes on the globe
    40 min · 1 practice tasks · quiz
    Meridians run from pole to pole, and Greenwich is the zero from which the rest are counted east and west.
  9. Fifteen degrees to the hour
    40 min · 1 practice tasks · quiz
    The earth turns 360 degrees in 24 hours, so each 15 degrees of longitude is one hour of time.
  10. Working out the local time of a place
    40 min · 1 practice tasks · quiz
    Find the longitude difference, divide by 15, then add going east or subtract going west.