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Orders

This is a level 4 probability activity from the Figure It Out theme series. This is focused on using problem solving strategies to solve ordering problems, finding all possible probability outcomes, and describing an outcome as a fraction. 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:

  • Use problem solving strategies to solve ordering problems.
  • Find all possible probability outcomes.
  • Describe an outcome as a fraction.
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    Orders

    Achievement objectives

    S4-4: Use simple fractions and percentages to describe probabilities.

    Required materials

    • Figure It Out, Level 3, Theme: At camp, "Orders", page 17

    See Materials that come with this resource to download:

    • Orders activity (.pdf)

    Activity

     | 

    For problem 1, students can use tabs labelled with the students’ names as a model to consider each clue in turn.

    A model showing the potential flow an activity with multiple student names.

    Question 2 involves probability. Students will first need to work out all the possible outcomes (combinations). They could use a tree diagram to do this:

    A diagram showcasing various types of fruit, including apples, oranges, bananas, grapes, and strawberries.

    Then, considering each person’s wishes:

    a. Please don’t let me get peaches.

    A diagram displaying various fruit types.

    b. I hope I get orange instant pudding.

    Diagram showing number of apples in each box: Box 1: 5 apples, Box 2: 8 apples, Box 3: 3 apples.

    c. I’d love apricots with chocolate instant pudding.

    A diagram showcasing various fruit types, including apples, oranges, bananas, grapes, and more.

    The process of selecting puddings could be simulated by using two containers, one for the instant pudding (brown, orange, and red cubes) and one for the fruit (yellow, white, and orange cubes).

    Thirty-six combinations of one pudding and one fruit could be selected and the results checked against each person’s wishes.

    1.

    Connie

    2.

    a. No peaches: 2/3, a 2 in 3 chance

    b. Orange instant pudding: 1/3, a 1 in 3 chance

    c. Apricot with chocolate instant pudding: 1/9, a 1 in 9 chance

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