This unit is about generating number patterns for certain ‘insects’ from the mythical planet of Elsinore. Each ‘Pede’ is made up of square parts and has a number of feet. The patterns range from counting by 2s and 3s to being the number of feet plus three.
Pattern is at the basis of much mathematics. There is always a need to find a link between this variable and that variable. This unit provides an introduction to pattern in the context of ‘insects’. The students are given practice in finding the next insect in a sequence. This leads to the main aim, which is for the students to begin to see the link between the number of feet that certain insects have and the number of squares that make them up.
One of the things that is deliberately attempted here is for them to see the link above in both directions. So not only do they get practice in linking squares to feet but they also are asked to try to find the number of feet that an insect with a certain number of squares has.
This unit provides an opportunity to develop number knowledge in the area of Number Sequence and Order, in particular development of knowledge of the Forward Number Word Sequence and skip counting patterns.
This unit can be differentiated by varying the scaffolding provided or altering the difficulty of the tasks to make the learning opportunities accessible to a range of learners. For example:
The context of this unit can be adapted to address diversity, and appeal to students’ interests and experiences to encourage engagement. For example, students may like to colour their pede with their team's favourite colours, or decorate them with koru or other patterns.
As each pede is developed, help students focus on the number patterns involved by creating tables as below. Similar tables can be drawn for each type of pede.
Humped Back Pede


Number of Feet

Number of squares

1

2

2

4

3

6

4

8

5

10

Use of a hundreds chart will help students visualise the number patterns more easily and help them to predict which numbers will be part of the patterns.
The conclusion of each session is an ideal time to focus on the number patterns involved. Questions to develop number knowledge include:
Which number comes next in the number pattern for this pede? How do you know?
Which number will be before 20 in this pattern? (or another number as appropriate)
How do you know?
What is the largest number you can think of in this pattern? How do you know?
Could a pede with 20 squares be a Spotted Pede? Why / Why not?
Could a pede with 32 squares be a 2pede? Why / Why not?
Are there any numbers that could be Spotted Pedes or Humped Back Pedes? What are they? How did you work that out?
Here we explore a couple of number patterns related to the mythical insects that live on the planet Elsinore. The patterns involve skip counting by 2s.
On the planet Elsinore there live a strange collection of insects. There is the HumpedBack Pede. The Humped Back 1pede looks like this. Can you see his eye? And the Humped Back 2pede looks like this. He has an eye too. (Show them the pictures below.) Ask the students to work individually or in pairs to make a Humped Back 3pede with the green tiles.
Can you work our how many squares a Humped Back 4pede has?
Gather the students together to talk about the insects that they drew. Explore the number pattern of counting in twos that comes from the HumpedBack Pedes. Also ask them questions like:
Can you tell me how many green squares a Humped Back 5pede will have?
Can you tell me how many green squares a Humped Back 7pede will have?
Can you tell me how many green squares a Humped Back 10pede will have?
How many feet has a HumpedBack Pede with 12 squares?
How many feet has a HumpedBack Pede with 18 squares?
How many feet has a HumpedBack Pede with 20 squares?
Can you tell me how to get the number of squares that a HumpedBack Pede with a particular number of feet has?
Can you tell me how to get the number of feet that a HumpedBack Pede with a particular number of squares has?
Here we investigate some more of the mythical insects that live on the planet Elsinore. The patterns here involve skip counting by 3s.
Here we explore patterns further. Here we are particularly interested in linking the number of squares on an insect and the number of feet it has.
Dear Parents and Whanau,
In maths this week we have been working on patterns. We have looked at some mythical insects from the planet Elsinore. We have seen the patterns that their numbers of squares have. Here is an animal from Elsinore. Perhaps together you could explore the links between its number of legs and the number of squares that make up its body.
Discuss with your child how many squares does a 2legged animal have?
How many squares does a 3legged animal have?
How many squares does a 4legged animal have?
How many legs does an animal with 20 squares have? Talk together about how you know? What do you have to do to work this out?
We would also like you to help us come up with a name for our animal. Write your ideas here.
We hope that you enjoyed working together on this algebra patterning task.
Printed from https://nzmaths.co.nz/resource/pedepatterns at 7:46pm on the 22nd May 2022