NATIONAL QUALIFICATIONS CURRICULUM SUPPORT Mathematics Using Mathematics in Everyday Situations 1: Measure [ACCESS 3] The Scottish Qualifications Authority regularly reviews the arrangements for National Qualifications. Users of all NQ support materials, whether published by Learning and Teaching Scotland or others, are reminded that it is their responsibility to check that the support materials correspond to the requirements of the current arrangements. Acknowledgement Learning and Teaching Scotland gratefully acknowledges this contribution to the National Qualifications support programme for Mathematics. © Learning and Teaching Scotland 2010 This resource may be reproduced in whole or in part for educational purposes by educational establishments in Scotland provided that no profit accrues at any stage. 2 USING MATHEMATICS IN EVERYDAY SITUATIONS 1 (ACCESS 3, MATHEMATICS) © Learning and Teaching Scotland 2010 Contents Introduction 4 Questions 5 End-of-topic test USING MATHEMATICS IN EVERYDAY SITUATIONS 1 (ACCESS 3, MATHEMATICS) © Learning and Teaching Scotland 2010 13 3 STUDENT WORKBOOK – MEASURE Student Workbook – Measure Introduction to the resource for teachers These notes are designed to supplement the PowerPoint presentations and student workbooks that support the Measure, Number, Money and Information Handling topics within the unit entitled Using Mathematics 1 at Access 3 level. Alongside each PowerPoint presentation is a student workbook that should be completed by students while they are progressing through the PowerPoint. The PowerPoint presentations can be delivered as a whole -class activity with the students completing their work as a group, or they c an be used by individuals or small groups if ICT access allows. Be aware that a greater level of literacy is required for some slides, which could determine the most suitable approach to learning for some students. 4 USING MATHEMATICS IN EVERYDAY SITUATIONS 1 (ACCESS 3, MATHEMATICS) © Learning and Teaching Scotland 2010 STUDENT WORKBOOK – MEASURE Questions 1. What would be the best unit of length to measure each of the following? The length of your finger _________________________________ The width of a book _____________________________________ The width of a television _________________________________ The length of a door _____________________________________ The height of a house ____________________________________ The distance from Aberdeen to Perth _______________________ The length of a rugby pitch _______________________________ The height of a person ___________________________________ The height of a mountain _________________________________ The length of a diamond _________________________________ The length of an eyelash _________________________________ 2. Name as many different measuring devices as you can. USING MATHEMATICS IN EVERYDAY SITUATIONS 1 (ACCESS 3, MATHEMATICS) © Learning and Teaching Scotland 2010 5 STUDENT WORKBOOK – MEASURE 3. What would be the most appropriate measuring device to use to measure the following? The distance from Perth to Dundee _________________________ The width of a fingernail _________________________________ The length of a running track ______________________________ The height of a window __________________________________ A person’s waist ________________________________________ The height of someone ___________________________________ The width of a pencil ____________________________________ The height of a table _____________________________________ The width of a room _____________________________________ The length of a pair of trousers ____________________________ 6 USING MATHEMATICS IN EVERYDAY SITUATIONS 1 (ACCESS 3, MATHEMATICS) © Learning and Teaching Scotland 2010 STUDENT WORKBOOK – MEASURE 4. How long are the following lines? (a) cm 1 2 3 4 5 6 7 8 9 10 11 12 13 14 2 3 4 5 6 7 8 9 10 11 12 13 14 2 3 4 5 6 7 8 9 10 11 12 13 14 12 13 14 (b) cm 1 (c) cm 1 5. Write the following in cm and mm (e.g. 7 cm 4 mm) (a) cm 1 2 3 4 5 6 7 8 9 10 11 USING MATHEMATICS IN EVERYDAY SITUATIONS 1 (ACCESS 3, MATHEMATICS) © Learning and Teaching Scotland 2010 7 STUDENT WORKBOOK – MEASURE (b) cm 1 2 3 4 5 6 7 8 9 10 11 12 13 14 1 2 3 4 5 6 7 8 9 10 11 12 13 14 60 70 80 90 100 110 120 130 140 (c) cm 6. How long are the following lines? (a) mm 10 8 20 30 40 50 USING MATHEMATICS IN EVERYDAY SITUATIONS 1 (ACCESS 3, MATHEMATICS) © Learning and Teaching Scotland 2010 STUDENT WORKBOOK – MEASURE (b) mm 10 20 30 40 50 60 70 80 90 100 110 120 130 140 20 30 40 50 60 70 80 90 100 110 120 130 140 20 30 40 50 60 70 80 90 100 110 120 130 140 (c) mm 10 (d) mm 10 USING MATHEMATICS IN EVERYDAY SITUATIONS 1 (ACCESS 3, MATHEMATICS) © Learning and Teaching Scotland 2010 9 STUDENT WORKBOOK – MEASURE (e) mm 10 20 30 40 50 60 70 80 90 100 110 120 130 140 20 30 40 50 60 70 80 90 100 110 120 130 140 (f) mm 10 10 USING MATHEMATICS IN EVERYDAY SITUATIONS 1 (ACCESS 3, MATHEMATICS) © Learning and Teaching Scotland 2010 STUDENT WORKBOOK – MEASURE 7. Measure the lengths of the following objects as indicated by the arrows in millimetres. (a) ______________ (b) ________________ (c) ________________ (d) ________________ USING MATHEMATICS IN EVERYDAY SITUATIONS 1 (ACCESS 3, MATHEMATICS) © Learning and Teaching Scotland 2010 11 STUDENT WORKBOOK – MEASURE 8. 12 Use a ruler to draw the following lines. (a) 7 cm (b) 3 cm (c) 85 mm (d) 102 mm (e) 4 cm 8 mm (f) 8 cm 2 mm (g) 99 mm (h) 2 cm 7 mm (i) 10 cm 1 mm (j) 111 mm (k) 7 cm 7mm USING MATHEMATICS IN EVERYDAY SITUATIONS 1 (ACCESS 3, MATHEMATICS) © Learning and Teaching Scotland 2010 STUDENT WORKBOOK – MEASURE End-of-topic test 1. 2. What unit of measure would you use to measure the following? (a) The length of a wooden spoon ______________________ (b) The width of a tennis court _________________________ (c) The length of a screw _____________________________ (d) The distance from Paris to Berlin ____________________ (e) The width of a can ________________________________ (f) The width of an ant _______________________________ (g) The height of a wind turbine________________________ (h) The length of the river Nile ________________________ Which if the following devices could you use to measure the quantities listed below? trundle wheel, ruler, measuring tape, odometer, metre stick (a) The length of a wooden spoon ______________________ (b) The length of a tennis court ________________________ (c) The width of a screw _____________________________ (d) The distance from Paris to Berlin ____________________ (e) The width of a can ________________________________ (f) The length of an ant ______________________________ (g) The height of a man ______________________________ USING MATHEMATICS IN EVERYDAY SITUATIONS 1 (ACCESS 3, MATHEMATICS) © Learning and Teaching Scotland 2010 13 STUDENT WORKBOOK – MEASURE 3. Measure the following objects as indicated by the arrows, in millimetres. (a) (b) (c) (d) (e) 14 (f) USING MATHEMATICS IN EVERYDAY SITUATIONS 1 (ACCESS 3, MATHEMATICS) © Learning and Teaching Scotland 2010