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Cellphone confusion

This is a level 4 measurement activity from the Figure It Out series. It is focused on working with rates and making comparisons. A PDF of the student activity is included.

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Tags

  • AudienceKaiako
  • Learning AreaMathematics and Statistics
  • Resource LanguageEnglish
  • Resource typeActivity
  • SeriesFigure It Out

About this resource

Figure It Out is a series of 80 books published between 1999 and 2009 to support teaching and learning in New Zealand classrooms.

This resource provides the teachers’ notes and answers for one activity from the Figure It Out series. A printable PDF of the student activity can be downloaded from the materials that come with this resource.

Specific learning outcomes:

  • Work with rates and make comparison.
Ngā rawa kei tēnei rauemi:
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    Cellphone confusion

    Achievement objectives

    GM4-2: Convert between metric units, using whole numbers and commonly used decimals.

    GM4-4: Interpret and use scales, timetables, and charts.

    Required materials

    • Figure It Out, Level 4, Measurement, Book One, "Cellphone confusion", pages 15–16
    • calculator

    See Materials that come with this resource to download:

    • Cellphone confusion activity (.pdf) 

    Activity

     | 

    This activity loosely mirrors the complex deals being offered by cellphone companies. The maths in the activity is quite intricate, and the students will need to read the information with care so that they take all factors into account.

    The facts can be collated in a spreadsheet or a table. This will help the students to sort out the information as they answer the questions.

     

    Monthly fee

    Off peak (month)

    Daytime calls (min)

    Texts

    Total cost (excluding cost of phone)

    Add cost of phone

    Yackety Yack

    $25

    100 mins free, then 49 cents

    99 cents

    15 free, then 20 cents

     

    $100

    1 month

    25

    90 x 0.49

    20 x 0.99

    105 x 0.20

    25 + 44.10 + 19.80 + 21 = $109.90

     

    12 months

     

     

     

     

    109.90 x 12 = $1,318.80

    $1,418.80

    24 months

     

     

     

     

    $2,637.60

    $2,737.60

    Busy Lines

    3 months free, then $30 a month

    150 mins free, then 65 cents

    99 cents

    10 free, then 15 cents

     

    $200

    1 month

    0

    40 x 0.65

    20 x 0.99

    110 x 0.15

    26 + 19.80 +16.50 = $62.30

     

    3 months

    0

     

     

     

    62.30 x 3 = $186.90

     

    12 months

    9 x 30

     

     

     

    62.30 x 12 + 9 x 30 = $1,017.60

    $1,217.60

    24 months

    21 x 30

     

     

     

    62.30 x 24 + 21 x 30 = $2,125.20

    $2,325.20


    Cellphone companies have their rates posted on the web, so this is where the students should go when answering question 6. A proportion of the class will already be regular cellphone users and will be able to establish a “profile” for themselves against which to check the different plans available.

    As an extension activity, your students could create a survey to find out:

    • the proportion of students who have phones
    • who pays for student phones and their use
    • how much students are spending on cellphones.

    This information could be collated and presented using charts or a computer.

    Cross-curricular links

    As cellphones become more sophisticated, the social implications of their use become greater and more widespread. This activity could be part of a cross-curricular unit using achievement objectives from the science, social studies, and technology curricula. As part of this, students could:

    • find out how cellphones work
    • investigate the history and evolution of the telephone
    • investigate the social changes occurring as a result of this technology
    • consider cellphone etiquette and safety issues
    • debate the proposition that their use should be banned during the school day
    • predict what further changes in phone technology might be in store and what the effects of such changes might be. They could consider what might be lost as well as what might be gained from such developments.

    Achievement objectives: Science

    • Investigate and describe how selected items of everyday technology work and affect our lives (making sense of the physical world, level 3).
    • investigate and offer explanations of how selected items of technology function and enhance everyday activities of people (making sense of the physical world, level 4).

    Achievement objectives: Social studies

    Demonstrate knowledge and understandings of:

    • the impact of the spread of new technology and ideas on culture and heritage (culture and heritage, level 4).

    Achievement objectives: Technology

    • Explore and discuss the impacts over time on the local and wider environments and society of some specific technology, as in the dairy industry; the introduction of wide-bodied jets (technology and society, level 4).

    1.

    a.

    i.

    • $63.90
    • Peak calls: 20 min x 0.99 = $19.80
    • Extra off-peak calls at standard rates: 90 min x 0.49 = $44.10

    ii. Text messages: 105 x 0.20 = $21.00

    iii. $109.90. (25.00 + 63.90 + 21.00)

    b. $1,318.80. (12 x 109.90)

    2.

    a. $45.80

    • Peak calls: 20 x 0.99 = $19.80
    • Extra off-peak calls at standard rates: 40 min x 0.65 = $26.00

    b. $16.50. (110 x 0.15 = $16.50)

    3.

    a. $62.30

    b. $1,017.60. (3 months x 62.30 a month = $186.90; 9 months x 92.30 = $830.70; total for the first 12 months is 186.90 + 830.70 = $1,017.60.)

    4.

    a. Busy Lines

    b. Yes. (After 24 months at this rate of usage, the charge from YY would be $2,637.60 and the charge from BL would be $2,125.20.)

    5.

    Busy Lines is cheaper in each case. (12 months: YY = $1,418.80; BL = $1,217.60; 24 months: YY = $2,737.60; BL = $2,325.20)

    6.

    Results will vary.

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