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Introduction

This whole piece of work is primarily aimed at S5.2 (use and interpret maps and scale drawings, including four-figure grid references and estimating distances and areas; use bearings to specify direction) but also covers other parts of the scheme of work. The topics covered are shown below with references to the relevant points in the scheme of work.

Time Distance and Speed Direction, Bearings and Compasses Maps Other travel related tasks
12-24 hour clock [S3.6]

Arithmetic with time and dates

Timetables [D3.4]

Scheduling [S4.3]

Mileage charts [D3.4, D6.7]

Mile/km conversions [S5.8]

Speed (calculations, graphs) [D3.4]

 

Compass points (turning) [S3.4]

Bearings

 

4 & 6-figure grid references [A4.4, A5.4]

Scale [S4.1, S4.6]

 

Exchange rates [N4.2]

Time
 

  12-24 hr clock Arithmetic and units (time) Arithmetic (dates and calendars) Timetables
10 Ticks Worksheets L4 P3 p21-22

L5 P3 p39

L4 P3 p23

L5 P3 p40

L4 P3 p24 L3 P3 p25-26
MyMaths Resources Telling the Time 1 - L3
Reading time from analogue clocks.  There is a very good interactive analogue clock.  A good ‘beat the clock’ – words to analogue time

Telling the Time 2 - L3
Converting to digital.  Simple time arithmetic
Time Calculations - L4
Time on a ‘number line’.  Some simple contextual questions
  Time & Timetables - L4
Brief revision about worded time and 24 hour clock.  A couple of simple timetable examples

‘Time.ppt’

Presentation covering telling the time.  Probably for the set3s.  The file is broken down into three sections (appropriate for one lesson per section).  The objectives of these lessons are:

  • “To be able to read a clock to the five minutes”
  • “To be able to read a clock to the minute” and “To understand how seconds, minutes, and hours are related”
  • “To know when to use A.M. or P.M. when telling time”

‘Time L34.exe’

National Numeracy Strategy adjustable clock for IWB.
Make a Clock.doc

‘Timetables, Time and Calendar.ppt’

The first part of this has some good slides to explain 24-hour clock and am/pm and The end part has some nice timetable questions.

‘Writing the date – MFL.pdf’

A Maths4Life lesson with the objectives:

  • “read and write the date in a variety of formats”
  • “use a calendar to find the day of the week for a given date.”

Converting Times Analogue - Digital - MFL.pdf

A Maths4Life lesson with the objectives:

  • “read times from analogue and digital displays”
  • “convert time from analogue to digital and vice versa”
  • “convert times between the 12-hour and 24-hour clocks”
  • “relate times to events in a day”

Other resources

Timetables

 

Distance and Speed
 

  Mileage charts Speed Speed-Time Graphs  
10 Ticks Worksheets L5 P3 p41-42 L6 P5 p9-12 L6 P5 p15-20  
MyMaths Resources   Speed - L7
Introduction to the formula, speed=dist/time.  It also looking at units.  Contains sets of questions finding each of the variables
Real Life Graphs - L6
Only the first five pages of the lesson are relevant.  Covers basic speed/time and distance/time graphs
 


‘Speed.ppt’

Matt Sims’ slides – basics about speed.

Collecting data for distance/time graphs

Equipment:  tape measures, stopwatches, cones, large space (playground).

Divide the class into groups of no more than 10.  For each group do the following:

  • Set up cones dividing the length of the playground into four equal sections (5m apart ?).
  • Have a person as time-keeper with a stopwatch at each cone (except the first which will mark the start line).
  • Have one person as a starter/time recorder.
  • The rest of the group take turns walking or running the length of the playground.  When the starter says ‘go’, all time-keepers start their stop-watches and then stop them when the student passes.  It is easier for all watches to start at the same time rather than trying to time just each section.
  • After each run the starter collects all the readings (better to collect after each turn)
  • Vary how students move – get some to speed up, or slow down.

If time allows, as a whole class you could get all the stop watches you have to get better data with a small number of pupils.

Sheet to collect class data.docx
Spreadsheet to analyse class data.xlsx

Maths 4 Real Video

Distance-Time Graphs

‘Speed-Distance-Time Graphs.exe’ (MMG application)

This draws distance/time, speed/time and distance/speed graphs of an accelerating car.  Suitable for set 1 only.  This also has worksheet to accompany the application.

 

Direction, Bearings and Compasses
 

  Compass Points Using Protractors Bearings  
10 Ticks Worksheets L4 P7 p3-10
Lots of mazes with both four and eight compass directions

L4 P7 p17-18 
Turning

L5 P3 p3-4 L5 P3 p12 
Battleships game

L5 P3 p13-16 
Measuring bearings

L6 P2 p27-28 
Bearings and grid references

L6 P2 p29-31 
Bearings and trails

L6 P2 p33-37 
Bearings and scales

 
MyMaths Resources   Speed - L7
Introduction to the formula, speed=dist/time.  It also looking at units.  Contains sets of questions finding each of the variables
Bearings - L6
Good overview of bearings.  Questions considering the reverse bearings (e.g. if this is the bearing from A to B, what is the bearing from B to A?)

Bearings Snooker - L6
Game.  Maybe suitable for a plenary.

 

Virtual Compass

http://www.digitalarena.co.uk/teach/virtual_compass/index.htm

Teacher tool for IWB.  Requires maps in JPEG form that must be accessible over the internet (i.e. not a local file).  We could upload any maps we want to an external server.

Flag Game

This game should follow teaching on how to find the bearing of one point from another.

Resources:  Area of grass (corner of the field or area at front of school), small lettered flags and compasses (and optionally a tape measure)

In advance of the lesson lay the flags out in a random pattern.  It is easier to put them in the ground in alphabetical order making sure the letter can be read from the previous letter in the alphabet.

Students work in pairs with each pair starting at a different flag.  For each flag they record the bearing and count paces from one to the next (without actually stepping on the flags).

When all have finished they can measure the length of their paces.

Maths 4 Real Video

Good introduction to bearings.  Note that there is a worksheet that can be followed during the video and then sets questions to be completed afterwards.

‘Bearings Journey.ppt’

This contains a lesson on drawing lines along a given bearing.  There are several exercises using protractor and ruler to practise.

‘Bearings.ppt’

This is a good set of slides showing the basics then some whole class activities and worksheets for practicing finding and drawing bearings.

‘Questions - Bearings L56.doc’

Real-life questions requiring accurate drawings to find the solution.

Canoe Game

http://www.mathsonline.co.uk/freesite_tour/gamesroom/bearings/canoebearings.html

Good for a plenary or starter – the whole class playing together.  Guide the canoeist around a course by giving a bearing and a distance.  Better if you press F11 to make the browser full screen then zoom to about 150%.

You can also generate printable worksheets based on the game using:

http://www.mathsonline.co.uk/freesite_tour/resource/bearings/wscanoe.html

Flashy Maths Bearings Game

http://www.flashymaths.co.uk/swf/bearings.swf

Similar to the Canoe Game but simpler.  Guide the boat around the icebergs to rescue the man in the rubber ring.

 

Maps
 

  Bearing and Scales      
10 Ticks Worksheets L6 P2 p33-37      
MyMaths Resources  Map Scales - L5
This would work for whole-class teaching but would be better for individual/pair work.  The emphasis on measuring distances a very simple map and scaling it using the ratio to find the actual distance.
     

6 Figure Grid References.ppt

‘Latitude and Longitude.ppt’

Detailed slides about latitude and longitude.  May be a nice introduction to maps (and explain the presence of the grid lines) for sets 1 and 2.

Other Resources

The geography department have a class set OS maps of Ipswich and surrounding area.

10 Ticks Worksheets

Exchange Rates:    L5 P6 p25-28

Imperial-Metric conversion:    L5 P3 p36-38

Graphs:    L5 P6 p23-24

‘EuroDisney – Click here for a variation of this project