# Convert to Standard Normal Distribution

Converting any Normal Distribution into a Standard Normal Distribution is a fundamental skill in Year 2 Statistics. However, many students struggle with understanding and applying the transformation equation and using z-tables effectively. Common mistakes include incorrect calculations of z-values, misinterpretation of standard normal tables, and confusion about the standardisation process.

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## Part 1: Understanding and Using the Transformation Equation

Key Skills:

Understanding the concept of standardisation.

Learning the transformation equation:

z = \frac{(X - \mu)}{\sigma}

Applying the transformation equation to convert normal distributions to standard normal distributions.

Watch Part 1 of the Tutorial

In this tutorial, we cover the basics of the transformation equation, explaining how to convert any normal distribution into a standard normal distribution. Students will learn the significance of standardisation and how to apply the transformation equation correctly.

## Part 2: Using Tables to Calculate Z Values

Learning Progression:

Interpreting standard normal distribution tables.

Calculating probabilities using z-values.

Understanding cumulative probabilities and their applications.

Watch Part 2 of the Tutorial

Building on the foundation from Part 1, this session focuses on using standard normal distribution tables to calculate z-values and associated probabilities. Students will enhance their skills in interpreting these tables and applying them to solve problems.

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Full Lesson Plans: Structured PowerPoint presentations with starter, main, and plenary sections.

Differentiated Worksheets: Additional practice problems tailored to various skill levels, ensuring all students can effectively learn and apply the concepts.

Detailed Solutions: Step-by-step solutions to reinforce understanding and support self-assessment.

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