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Lower Primary School Parent Handbook - DragonNet - Hong Kong ...

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Algebra<br />

Algebra is a way of thinking. It is a language used to express mathematical<br />

relationships. Children need to understand how quantities are related to one another<br />

and how algebra can be used to express and analyze those relationships. They need<br />

to focus on understanding the relationship between the equation and the graph and<br />

on what the graph represents in a real-life situation. Algebraic thinking should begin<br />

in Reception One with concepts such as finding patterns and guessing missing<br />

numbers and continue through adulthood.<br />

Children observe and describe many kinds of patterns in the world around them.<br />

They draw upon these experiences to explore properties of algebraic relations.<br />

The exploration of functional relationships leads to<br />

understandings of cause and effect relationships<br />

essential to solving many real-world problems.<br />

Children can model problems and find solutions<br />

based on observed patterns and relationships,<br />

expressing the process symbolically and verbally.<br />

As children develop confidence in representing and<br />

solving problems, they should extend these skills to<br />

more abstract and symbolic representations.<br />

At the Grade Two level, children describe and extend<br />

patterning schemes. They use physical objects and<br />

appropriate symbols to show the meaning of equality<br />

and inequality. They use manipulatives to solve the<br />

"unknown" in equations.<br />

At the Grade One level, children create, describe, and<br />

extend patterns. They manipulate objects to solve<br />

problem situations where one addend is unknown.<br />

They show the inverse relationship between addition<br />

and subtraction using language experiences and<br />

manipulative.<br />

At the Reception Two level, children classify and sort<br />

physical objects according to attributes such as color,<br />

shape, size or weight. They recognize, describe,<br />

and duplicate patterns based on various attributes.<br />

Additionally, they extend or create patterns.<br />

At the Reception One level, children classify and sort<br />

physical objects on the basis of one characteristic.<br />

They use concrete objects to create a simple pattern.<br />

Children use balance scales or manipulatives to show<br />

the relationship of both sides of the equation.<br />

<strong>Lower</strong> <strong>Primary</strong> <strong>Parent</strong> <strong>Handbook</strong> 65

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