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Complete Mathematics/Teaching with Algebra Tiles: Axioms, Expressions and Equality
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  • £16.67

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
  • 15 mins
  • 302 MB
Preview
Defining Addition Practise
  • 739 KB
Preview
A model for subtraction
  • 13 mins
  • 491 MB
A model for subtraction practise
  • 579 KB
Defining Multiplication
  • 13 mins
  • 391 MB
Defining Multiplication Practise
  • 743 KB
A model for division
  • 8 mins
  • 259 MB
A model for division practise
  • 765 KB
Connecting Ideas + Useful tasks
  • 9 mins
  • 402 MB

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
  • 8 mins
  • 348 MB
Area and expressions 2
  • 10 mins
  • 375 MB
Area and Expressions Practise
  • 801 KB
Defining Equivalence
  • 7 mins
  • 146 MB
Solving Equations
  • 11 mins
  • 208 MB
Defining and Solving Equations Practise
  • 131 KB

Complete Mathematics

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