1.1 Additive inverses (Zero pairs)

1.1 Additive inverses (Zero pairs)

Mastering Directed Number

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Introduction

  • 1.0 Introduction

Zero Pairs and Addition

  • 1.1 Additive inverses (Zero pairs)
  • 1.2 Field Axioms for Addition
  • 1.3 Zero Pairs — Random Scatter
  • 1.3b TASK: Zero Pairs — Random Scatter
  • 1.4 Modeling additions — A consistent approach
  • 1.5 TASK: Addition — Some to try
  • 1.6 Moving to efficient methods
  • 1.6b TASK — Moving to efficient methods
  • 1.7 Generalising addition
  • 1.7b TASK — Generalising addition
  • 1.8a TASK: Zero Pairs — Behaving Mathematically
  • 1.8b TASK: Zero Pairs — Behaving Mathematically

Subtraction with Directed number

  • 2.1 The difference between minus and negative
  • 2.2 Subtraction as shorthand notation
  • 2.2b TASK: Subtraction as a shorthand notation
  • 2.3 A scaffold for subtraction
  • 2.3b A scaffold for subtraction
  • 2.4 TASK: Subtraction — Some to try
  • 2.5 Variation — Match up the calculations
  • 2.5b TASK: Variation — Match up the calculations
  • 2.6 TASK: Equivalent Subtractions and Additions
  • 2.7 TASK: Efficient mental methods
  • 2.8 TASK: Generalising subtraction
  • 2.9 TASK: The two 2's challenge
  • 2.10 A flawed model for subtraction
  • 2.10b A flawed model for subtraction

Summary

  • 3.0 Summary
  • 3.1 Directed Number — All Slides1