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# sequential patterns

## Shaping Up

• Figure It Out activities
• Number and Algebra
• Level Three

These are level 3 number, algebra, measurement problems from the Figure It Out series.

## Planning Paths

• Figure It Out activities
• Number and Algebra
• Level Three

This is a level 3 algebra activity from the Figure It Out series.

## Out of Sight

• Figure It Out activities
• Geometry and Measurement
• Level Three

This is a level 3 link geometry activity from the Figure It Out series. It relates to Stage 6 of the Number Framework.

## Decreasing differences

• Secondary activities
• Number and Algebra
• Level Three

These exercises and activities are for students to use independently of the teacher to practice number properties.

## Fibonacci I

• Units of Work
• Number and Algebra
• Level Four

In this unit we look at Fibonacci numbers and how they occur in nature. We also look at what factors Fibonacci numbers can have.

## Tukutuku Patterns

• Units of Work
• Number and Algebra
• Level Four

In this unit some Tukutuku patterns are introduced. Rotations of these patterns produce simple shapes whose area formulae are well known. From these formulae algebraic formulae for sequences can be deduced.  While the unit is written to the Level 4 Achievement Objectives, the work is quite advanced and may be most suitable for students entering Level 5.

## The Truth About Triangles and Squares

• Units of Work
• Number and Algebra
• Level Four

This unit explores some of the algebra behind triangular and square numbers.

## Two's Company

• Units of Work
• Number and Algebra
• Level Four

This unit presents students with several problems that develop the idea of binary (base two) arithmetic. In the course of solving the problems, students are required to look for patterns and relationships and describe them using symbols and mathematical language.

## Matilda's Waltz with the 5 Strip Box

• Units of Work
• Number and Algebra
• Level Four

This unit allows the class to work on two different pattern themes. It lays the foundations for Algebra at Level 5 by requiring them to articulate the patterns.

## Cups and Cubes

• Units of Work
• Number and Algebra
• Level Three

In this unit students explore the use of cups and counters as a model to analyse the effects of operations rather than focusing on specific numbers.