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Complete Mathematics/Teaching with Algebra Tiles: Axioms, Expressions and Equality
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Teaching with Algebra Tiles: Axioms, Expressions and Equality


In this course we will take a journey through directed number arithmetic to culminate in working algebraically. We will take an axiomatically coherent approach using algebra tiles as our model of communication. In doing so, we offer pupils the opportunity to gain conceptual appreciation and see connections between ideas that are the fundamental building blocks in mathematics.
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Contents

Axioms and Expressions

In this section, we will introduce algebra tiles and explore the models we can use in our instruction to communicate addition, subtraction, multiplication, and division with integers. Plus, we will extend into algebra and explore how we can use algebra tiles to simplify expressions.
Defining Addition
Preview
Defining Addition Practise
Preview
A model for subtraction
A model for subtraction practise
Defining Multiplication
Defining Multiplication Practise
A model for division
A model for division practise
Connecting Ideas + Useful tasks

Expressions and Equality

In this section, we will explore how we best communicate the idea of equality and learn how we can use algebra tiles to solve equations and look at simplifying algebraic expressions.
Area and expressions 1
Area and expressions 2
Area and Expressions Practise
Defining Equivalence
Solving Equations
Defining and Solving Equations Practise

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