Skip to main content
Tāhūrangi - New Zealand Curriculum
Support
Tāhūrangi - New Zealand Curriculum
Support
Switch Curriculum:

Scaling up

This is a level 2 algebra activity from the Figure It Out theme series. A PDF of the student activity is included.

<img src="/images/decorative.jpg" alt="" />

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:

  • Continue a sequential pattern.
Add to kete
Add to Collection

Add to collection

Download resources
Ngā rawa kei tēnei rauemi:
    Reviews
    0

    Scaling up

    Achievement objectives

    NA2-8: Find rules for the next member in a sequential pattern.

    Required materials

    • Figure It Out, Level 2–3, Theme: Under the Sea, "Scaling up", page 15
    • square tiles

    See Materials that come with this resource to download:

    • Scaling up activity (.pdf)

    Activity

     | 

    There are many ways that students can count the number of square tiles in each fish. Most will use one-by-one counting if you do not encourage them to explore other interesting ways to count.

    Below are some methods that could be used to count.

    Using symmetry:

    Squares arranged in the shape of a fish with a line showing symmetry.
    • There are four tiles on this line of symmetry.
    • 2 x 5 = 10 tiles are not on the line of symmetry.
    • Total: 10 + 4 = 14 tiles.

    Using composite blocks:

    Squares arranged in the shape of a fish.
    • 4 + 4 + 6 = 14 tiles.

    Multiplication:

    Squares arranged in the shape of a fish.
    • (3 x 3) + 3 + 2 = 14 tiles (or 4 x 3 + 2).

    Using the larger enclosing square and noting the missing and additional tiles:

    Squares arranged in the shape of a fish.
    •  (4 x 4) + 2 – 4 = 14 tiles.

    Students should try to use equal additions or multiplication to simplify the task of counting the scales (square tiles). A table using multiplication is illustrated in the Answers section.

    A grandparent fish will build on the pattern of body, fins, and tail shown in the other fish.

    Two sets of squares arranged in the shape of a fish, labelled baby fish and teenage fish.
    Two sets of squares arranged in the shape of a fish, labelled parent fish and grandparent fish.

    The total number of scales on a grandparent fish is 25 + 6 + 6 + 10 = 47.

    1.

    Baby fish have 5 scales, teenage fish have 14 scales, and adult fish have 28 scales.

    2.

    There are 137 scales. Students could work this out in a table using multiplication:

    Fish

    Number

    Scales

    Total

    Baby

    5

    5

    25

    Teenage

    4

    14

    		 56

    Parent

    2

    28

    56

    Total

     

     

    137

    3.

    fish

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