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Level Five > Number and Algebra

# AO2: Relate tables, graphs, and equations to linear and simple quadratic relationships found in number and spatial patterns.

Children
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## Holistic Algebra

We have available a large range of activities that can be used for developing some basic concepts in algebra. Students often complain that they cannot see the point of learning algebra so all of the teaching of skills here is placed within contexts. The intention of this unit is not to teach skills in isolation, but rather to use each activity for developing all the concepts. It is not suggested that this unit should replace the skills practice traditionally used in the teaching of algebra. It does, however, provide the opportunities for discussion and development of concepts. As each learning outcome is explored there will probably be need for consolidation through more traditional exercises. With the first activities one will probably not wish to explore all aspects with the whole class, but the possibility is there for extending individuals. It would also be appropriate to use the first activity for diagnostic assessment.

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## Tilted Squares and Right Triangles

The initial focus of this unit involves students in gathering data from their investigation of squares that can be made on different sized geoboards, (an array of dots arranged on a square grid).  Students need to be systematic in their work, and to record their results in ways that are likely to help them notice patterns and relationships.

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## Fibonacci I

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

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## Linear Graphs and Patterns

Techniques for drawing linear graphs are introduced via whole number problem situations where the focus is on the solutions rather than the technique. Only linear equations of the form ax±by=c are graphed by finding two or more points on the line. No attempt is made to link these equations by algebra to the gradient intercept form y=mx+c.

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## Poppy Meets Pythagoras

Find connections between numbers in a table

Use Pythagoras’ theorem in a general algebraic form

Measure accurately from a scale drawing.

devise and use problem solving strategies to explore situations mathematically (be systematic, draw a diagram).

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## Can Stack

Find the rule for summing consecutive numbers

Identify the pattern of triangular numbers.

Devise and use problem solving strategies to explore situations mathematically (be systematic, use algebra).

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## Rows of Numbers

Generate patterns from a structured situation

Find a rule for the general term (extension problem).

Devise and use problem solving strategies to explore situations mathematically (be systematic, guess and check, make a table, look for a pattern).

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## Multiplicative sequences

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

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## Table Tennis

This is a level 5 algebra strand activity from the Figure It Out series.

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## The Power of 2

This is a level 5 algebra strand activity from the Figure It Out series.

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## Web Circles

This is a level 5 algebra strand activity from the Figure It Out series.

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## Square Number Differences

This is a level 5 algebra strand activity from the Figure It Out series.

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## Domino Stacks

This is a level 5 algebra strand activity from the Figure It Out series.

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## Counting Cubes

This is a level 5 algebra strand activity from the Figure It Out series.

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## From One to Another

This is a level 5 algebra strand activity from the Figure It Out series.

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## Areas of Interest

This is a level 5 algebra strand activity from the Figure It Out series.

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## Mats, Patterns, and Rules

This is a level 5 algebra strand activity from the Figure It Out series.

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## Suspended Thought

This is a level 5 algebra strand activity from the Figure It Out series.

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## Jam Jars

This is a level 5 algebra strand activity from the Figure It Out series.

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## Roller Coasting

This is a level 5 algebra activity from the Figure It Out theme series.