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Video viewing

This is a level 4 number activity from the Figure It Out series. It is focused on adding and subtracting integers. 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:

  • Add and subtract integers.
Ngā rawa kei tēnei rauemi:
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    Video viewing

    Achievement objectives

    NA4-2: Understand addition and subtraction of fractions, decimals, and integers.

    Required materials

    • Figure It Out, Level 4+, Number, Book Six, "Video viewing", page 16

    See Materials that come with this resource to download:

    • Video viewing activity (.pdf)

    Activity

     | 

    This activity requires the addition and subtraction of positive and negative numbers, as on the previous page, but it also requires the students to keep in mind that they are working with clock time. This means that 60 becomes a crucial number for both seconds and minutes. For example, as soon as a figure goes beyond 60 seconds, it becomes an extra minute and the seconds start again.

    The activity is reasonably challenging, and the students should approach it in a considered and methodical way. Again, a number line may be a very useful way to tackle these problems, but, as indicated above, it will need to show time rather than the usual integers. The students, as a class, could discuss and draw such a time number line. It would be something like the one below, although considerably extended.

    The students could draw two time lines, the second showing much larger intervals of time. This would be useful for question 4, where 2-minute and 15-minute periods need to be calculated.

    For example:

    Time number line from -0:02:00 to 0:02:00.

    The notes for the previous page explain the principles of adding and subtracting integers. The students should be able to apply that learning to the questions on this page.

    For example, for question 2b, the students need to add 4 minutes and 19 seconds to the -0:02:37 given in the previous question, that is, -0:02:37 + -0:04:19.

    One way to show this is:

    A method to work out 4 minutes and 19 seconds being added to -2 minutes and 37 seconds.

    They could also show this as a number line:

    A number line illustrating the a method to work out 4 minutes and 19 seconds being added to -2 minutes and 37 seconds.

    This activity will help the students to recognise that there are realistic circumstances in our lives where we need to be able to work with negative numbers. It could also be helpful to encourage them to discuss other circumstances where this is so, for example, students’ older family members may have overdrafts or bank loans, mortgages on houses or property, or loans for vehicles and household appliances. The students may find it interesting that a person who has very little money may be much better off than someone who has a loan to repay.

    1.

    a. 33 min. and 46 s

    b. -0:33:28

    c. -0:29:03

    2.

    a. 26 min. and 26 s

    b. 0:01:42

    3.

    a. 2 hrs, 1 min., and 15 s

    b.

    Start

    Stop

    -1:44:33

    -1:42:33

    -1:27:33

    -1:25:33

    -1:10:33

    -1:08:33

    -0:53:33

    -0:51:33

    -0:36:33

    -0:34:33


    (0:29:00 will occur during the next 15 minute viewing period.)

    The quality of the images on this page may vary depending on the device you are using.