Learning Intention: To understand how to calculate the distance - speed - time.
Success Criteria:
Can successfully calculate distance - speed - time.
Copy the following formular:
The distance between two points on a map can be found by measuring the distance on the map and then converting it from centimetres to kilometres and/or metres. Most students do this by using the map’s linear scale, which will work for both print and digital documents.
There are several ways to measure the distance between two points on a map. Some students use a length of string, while others use a pair of dividers. The following methods are more likely to be accurate because they make it easier to work around curves and sharp corners.
To estimate a straight-line distance, place the edge of a sheet of paper between the two points and mark on the paper the distance between the points. Place the paper along the map’s linear scale. Read off the distance on the scale.
To estimate a distance along a curved line, place a sheet of paper on the map and mark off the starting point or use a piece of string. Carefully move the paper so that its edge follows the curve, marking each section with a pencil as you go. Mark the end point and then place your sheet of paper on the linear scale. Read off the distance on the scale.
Take a look at this example:
Complete the following questions:
Question 1: If a cyclist travels at an average speed of 18 km/h, how long will it take to cover a distance of 27 km?
A) 1 hour
B) 1 hour and 15 minutes
C) 1 hour and 30 minutes
D) 2 hours
Question 2: A car travels 150 km in 2.5 hours. What is the car's average speed?
A) 50 km/h
B) 55 km/h
C) 60 km/h
D) 65 km/h
Question 3: How far will you travel if you walk for 2 hours at a speed of 4 km/h?
A) 6 km
B) 8 km
C) 10 km
D) 12 km
Question 4: If a train is traveling at a speed of 90 km/h, how long will it take to cover a distance of 135 km?
A) 1 hour
B) 1 hour and 15 minutes
C) 1 hour and 30 minutes
D) 2 hours
Question 5: A runner maintains a steady pace of 10 km/h for a 12 km race. How long will it take the runner to finish?
A) 1 hour
B) 1 hour and 10 minutes
C) 1 hour and 12 minutes
D) 1 hour and 20 minutes
(Teachers answers in the collapsible)
Answers:
1: C) 1 hour and 30 minutes
(Time = Distance / Speed = 27 km / 18 km/h = 1.5 hours = 1 hour and 30 minutes)
2: C) 60 km/h
(Speed = Distance / Time = 150 km / 2.5 hours = 60 km/h)
3: B) 8 km
(Distance = Speed × Time = 4 km/h × 2 hours = 8 km)
4: C) 1 hour and 30 minutes
(Time = Distance / Speed = 135 km / 90 km/h = 1.5 hours = 1 hour and 30 minutes)
5: C) 1 hour and 12 minutes
(Time = Distance / Speed = 12 km / 10 km/h = 1.2 hours = 1 hour and 12 minutes)