Topicma69552f2d8cb4896_1528449000663_0Topic

Speed, distance and time

Levelma69552f2d8cb4896_1528449084556_0Level

Second

Core curriculumma69552f2d8cb4896_1528449076687_0Core curriculum

XII. Practical calculations The student:

9) calculates in practical situation: the distance with given speed and timetimetime, the speed with given distancedistancedistance and time, the time with given distance and speedspeedspeed and uses the units of speed $\frac{km}{h}$, $\frac{m}{s}$.

Timingma69552f2d8cb4896_1528449068082_0Timing

45 minutes

General objectivema69552f2d8cb4896_1528449523725_0General objective

Matching the mathematical model to a simple situation and using it in various contexts.

Specific objectivesma69552f2d8cb4896_1528449552113_0Specific objectives

1. Calculating the speed knowing the distance and the time.

2. Using the units of speed.

3. Communicating in English; developing mathematical and basic scientific, technical and digital competences; developing learning skills.

Learning outcomesma69552f2d8cb4896_1528450430307_0Learning outcomes

The student:

- calculates the speed knowing the distance and time,

- uses the units of speed.

Methodsma69552f2d8cb4896_1528449534267_0Methods

1. Learning game.

2. Situational analysis.

Forms of workma69552f2d8cb4896_1528449514617_0Forms of work

1. Individual work.

2. Work in pairs.

Lesson stages

Introductionma69552f2d8cb4896_1528450127855_0Introduction

The teacher prepares a set of 16 cards for each pair of students. There are one of the following writings on each of them: 1 km, 1 m, 1 m, 1 dm, 1 cm, 1 h, 1 h, 1 min, 1 s, 60 s, 60 min, 3600 s, 10 cm, 10 dm, 100 cm, 1000 m.

The students play the „Memory game” to revise the units of length and time. They use the cards prepared by the teacher. They put the cards writing side down in front of them. One student takes two cards, if the amounts written on them are equal he puts them aside and takes another two. If the amounts aren’t equal he cover s them and ends his turn. The student on his left continues the game. The game is over when all the pairs are found.

Procedurema69552f2d8cb4896_1528446435040_0Procedure

The teacher introduces the topic of the lesson: calculating the speedspeedspeed with the distancedistancedistance and timetimetime given and using the units of speed.

Discussion: When can we hear about the notion of speed in our everyday life? What units are used to express the speed of the car? What other units does the unit of speedunit of speedunit of speed consist of? Does the car move with the same speed during all the journey? Why is that? What do we mean by saying that the car moved at the speed of 60 km/h.

The students can come up with the following conclusions:

- the speedspeedspeed of the car is usually expressed in kilometres per hour what is written as $\frac{km}{h}$.
- the unit of speedunit of speedunit of speed consists of the unit of length e.g. a kilometer and the unit of time e.g. an hour.
- the car doesn’t move at the same speed all the time, it slows down and speeds up.
- by saying that the car went at the speed of  60 $\frac{km}{h}$ we mean its average speed of the whole route
was 60 $\frac{km}{h}$.

The students work individually using their computers. They are going to analyse the slideshow concerning the method of calculating the speed having the distance and the time.

[Slideshow1]

Discussion: What are  the symbols of the distancedistancedistance, the time and the speedspeedspeed? How can we calculate the speed knowing the distance travelled and time of the journey?

The students can come up with the following conclusions:

- the distancedistancedistance is marked with small letter d, the time with small letter t and the speed with small letter v;
- the speed is calculated by dividing the distance of the route by the time spent on travelling.

Using the gained information the students calculate the speedspeedspeed knowing the distancedistancedistance and the timetimetime . Then, in pairs they compare the results.

Task 1

The vehicle travelled the route s in the time of t. Calculate the speed of the vehicle.

a) d = 210 km, t = 3 h

b) d = 1600 m, t = 40 min

c) d = 56 m, t = 8 s.

Task 2

In two hours’ timetimetime the cyclist travelled 30 km. What speed did he cycle at?

Task 3

Homing pigeon has flown the distance of 32 km. What speed has he flown if he took off at 9:55 and reached its destination at 10.15?ma69552f2d8cb4896_1527752256679_0Homing pigeon has flown the distance of 32 km. What speed has he flown if he took off at 9:55 and reached its destination at 10.15?

The students work individually using their computers. They are going to analyse the slideshow concerning the conversion of the units of speed.

[Slideshow2]

Using the gained information the students convert the units of speed. Then, in pairs they compare the results.

Task 4

Fill the gaps with the appropriate number to get the correct equality. Do the calculation if you need. 

a) 72 $\frac{km}{h}$ =  … $\frac{m}{s}$

b) 15 $\frac{m}{s}$ = … $\frac{km}{h}$

c) 40 $\frac{m}{min}$ = … $\frac{m}{s}$

Task 5

To chase its victim the cheetah can run at 120 $\frac{km}{h}$. How many metres does it run within one second?

Task 6

What unit should be used to expresses the speedspeedspeed of:

a) the train,

b) the snail,

c) the light?

An extra task:

Phileas Fogg the main hero of the book „Around the world in eighty days” by Julius Verne bet that he will around the world in 80 days. Calculate the average speed he had to move at to reach his destination, providing Mr Fogg needed 8 hours of rest every day and the journey took place around the equatorequatorequator.
Use $\frac{km}{h}$ to give your result, find out on the Internet all needed information.

Lesson summaryma69552f2d8cb4896_1528450119332_0Lesson summary

The students do the summarising tasks.

Then they sum up the class drawing the conclusions to memorise:

- The distance is marked with small letter d, the time with small letter t and the speed with small letter v;
- The speed is calculated by dividing the distance of the route by the time spent on travelling.
- The units of speed are for example the following: kilometre per hour ($\frac{km}{h}$),  metre per second ($\frac{m}{s}$), metre per minute ($\frac{m}{min}$).ma69552f2d8cb4896_1527752263647_0- The distance is marked with small letter d, the time with small letter t and the speed with small letter v;
- The speed is calculated by dividing the distance of the route by the time spent on travelling.
- The units of speed are for example the following: kilometre per hour ($\frac{km}{h}$),  metre per second ($\frac{m}{s}$), metre per minute ($\frac{m}{min}$).

Selected words and expressions used in the lesson plan

speedspeedspeed

distancedistancedistance

timetimetime

kilometre per hourkilometre per hourkilometre per hour

metre per secondmetre per secondmetre per second

unit of speedunit of speedunit of speed

centimetrecentimetrecentimetre

minuteminuteminute

equatorequatorequator