# Feb 18: maths new unit

Dear Parents,

We will start a new mathematics unit this week: Repeating Patterns and Number Sequences.

There are three mathematical foci:

Linear relationship (describing and representing ratios)

Situations that look very different may have the same underlying constant ratio. We will learn how different situations can have the same underlying relationship between quantities.

We will also learn to

• Describe the relationship between two quantities in a constant ratio situation
• Use tables to represent the ratio relationship between two quantities
• Find the value of one quantity in a constant ratio situation, given the value of the order

Using tables and graphs to represent change

Tables are introduced as a powerful representation to show how one quantity changes in relation to another. Organising data in a table can help us uncover a rule that governs that relationship.

Our focus points include:

• Describing the pattern in the numbers in a column and interpreting the pattern in terms of the situation the table represents
• Describing what is the same about the situations that look different but can be represented by the same table
• Using information in a table to determine the relationship between two quantities

Number sequences

Associating the counting numbers with the elements of a repeating pattern reveals important characteristics of the pattern and also provides an avenue into studying the number sequences themselves. Using the counting numbers in this way gives us a language to talk about the pattern.

Much of the work on repeating patterns in this unit is focused on multiples of 2, 3, 4 and 5.

Our focus points include:

• Triangles are on the ‘counting by three’ numbers, or the multiples of three. To find the position of the next triangle, count on or add on three to the last triangle.
• The squares land on the numbers 1, 4, 7, 10 and so forth. Where will the next square be?

An important part of our work throughout the unit is to consider how and why different situations generate the same number sequence.