Factorising and completing the square using algebra tiles (mastery style)

A complete lesson, definitely enough to last 2-3 lessons. (43 slides)

The lesson uses algebra tiles to represent factorising quadratics and completing the square. Previous use of algebra tiles is preferable but the way the lesson has been designed it is accessible if students might not be familiar with them,
Representations is one of the 5 big ideas of mastery.

The lesson includes:

• Do it now (Thanks to Mr CarterMaths)
• Recap of expanding using algebra tiles (Thanks Mathsbot for the representations)
• Demonstration of how to factorise quadratics using algebra tiles
• Tasks for students on factorising quadratics (including when coefficient of x squared is more than 1.
• Variation questions that lead into perfect squares (What do you notice? If I change this then what will happen?)
• Demonstration of how to complete the square, side by side with representation
• Prompt questions based on completing the square
• Tasks for students to practise completing the square using diagrams.
• Faded guidance task to support students writing this algebraically.
• All answers are provided throughout
• AO2 reasing questions and problem solving questions built in.
• Examples of completing the square with negative signs
• Tasks for students to practise questions with mixed signs.
• Review it now to recap learning
• Printable templates.

Please check out my other resources, particularly the other ones on expanding brackets using algebra tiles which may be useful before this.

Any feedback/mistakes please let me know so I can correct!

Hope it is useful, thank you.