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Fish forms

This is a level 3 number and algebra activity from the Figure It Out theme series. 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 mental strategies to add numbers.
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    Fish forms

    Achievement objectives

    NA3-8: Connect members of sequential patterns with their ordinal position and use tables, graphs, and diagrams to find relationships between successive elements of number and spatial patterns.

    NA3-1: Use a range of additive and simple multiplicative strategies with whole numbers, fractions, decimals, and percentages.

    Required materials

    • Figure It Out, Levels 2–3, Theme: Under the Sea, "Fish forms", page 14

    See Materials that come with this resource to download:

    • Fish forms activity (.pdf)

    Activity

     | 

    Encourage the students to use systematic counting when calculating the cost of the sea creatures. This will involve looking for common shapes and using multiplication rather than shape-by-shape counting. For example, consider this shape:

     

    Fish shape made from three trapeziums, two diamonds, two squares and one triangle.

    Question 3 involves students applying the relationship between the number of trapezia in the body of the sea serpent and the total cost of the creature. A five-trapezia-bodied serpent costs:

     

    A five-trapezia-bodied serpent diagram made from five trapeziums, three diamonds, two rectangles and two triangles.

    Adding five more trapezia will cost another 75 c (5 x 15 c), which gives a total cost of $2.10. This can be organised in a table to check (60 c + [number of trapezia x 15 c]).

    Length of body in trapezia

    1

    2

    3

    4

    5

    6

    7

    8

    9

    10

    Total cost

    75 c

    90 c

    $1.05

    $1.20

    $1.35

    $1.50

    $1.65

    $1.80

    $1.95

    $2.10

    1.

    a. 90 c

    b. 90 c

    2.

    $1.35

    3.

    $2.10

    4.

    Answers will vary.

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