Completing the Square (H)Deduce turning points of quadratic graphs by completing the square (KS4 Higher only)

Teaching for Understanding
Resources and ideas to promote understanding
Blog Posts and Lesson Ideas
Completing the square using algebra tiles (C. Norledge)
Blog post about how I introduce completing the square using algebra tiles.
From algebra tiles to the standard formula (C. Norledge)
A visual approach for developing the standard formula for completing the square.
Tricks and Tips: Quadratics (Jo Morgan)
Four methods for finding the turning point of a quadratic  have a look at the symmetry method (#4) for an alternative approach for those pupils struggling with completing the square.
Standards C1 Linking properties and forms of quadratic graphs (via Craig Barton)
This is in the A Level section (and I use it every year when teaching Core 1), but is a great card sort linking all forms of quadratics, and particularly encouraging pupils to see the link between completing the square and finding the turning points of quadratic graphs.
Solving quadratics by transformation (Don Steward)
An interesting alternative to completing the square for solving tricky quadratics.
Completing the square (Kate Nowak)
Teaching completing the square by spotting patterns in complete squares.
Blog post about how I introduce completing the square using algebra tiles.
From algebra tiles to the standard formula (C. Norledge)
A visual approach for developing the standard formula for completing the square.
Tricks and Tips: Quadratics (Jo Morgan)
Four methods for finding the turning point of a quadratic  have a look at the symmetry method (#4) for an alternative approach for those pupils struggling with completing the square.
Standards C1 Linking properties and forms of quadratic graphs (via Craig Barton)
This is in the A Level section (and I use it every year when teaching Core 1), but is a great card sort linking all forms of quadratics, and particularly encouraging pupils to see the link between completing the square and finding the turning points of quadratic graphs.
Solving quadratics by transformation (Don Steward)
An interesting alternative to completing the square for solving tricky quadratics.
Completing the square (Kate Nowak)
Teaching completing the square by spotting patterns in complete squares.
Concrete and Pictorial
Proof without words (Illuminations)
Interactive demonstration of completing the square.
Completing the square using algebra tiles (C. Norledge)
Video demonstration using algebra tiles to complete the square (via Youtube).
Interactive demonstration of completing the square.
Completing the square using algebra tiles (C. Norledge)
Video demonstration using algebra tiles to complete the square (via Youtube).
Fluency
Collections of standard practice problems in various formats
Worksheets
Completing the square (Worksheet Math)
Standard worksheet generator with answers.
Completing the square worksheet (phildb via TES)
Standard worksheet with decent variety of problems.
Completing the square differentiated question cards (headofslytherin via TES)
Tagged as an ALevel Core 1 revision resource, but contains some excellent completing the square problems.
Completing the square codebreaker (alutwyche via TES)
Excellent codebreaker activity requiring pupils to solve quadratic equations by completing the square; includes some questions requiring rearrangement.
CIMT exercises (Link)
Textbook chapter on quadratics; see pg1314 for exercises on completing the square, including contextbased problems.
Standard worksheet generator with answers.
Completing the square worksheet (phildb via TES)
Standard worksheet with decent variety of problems.
Completing the square differentiated question cards (headofslytherin via TES)
Tagged as an ALevel Core 1 revision resource, but contains some excellent completing the square problems.
Completing the square codebreaker (alutwyche via TES)
Excellent codebreaker activity requiring pupils to solve quadratic equations by completing the square; includes some questions requiring rearrangement.
CIMT exercises (Link)
Textbook chapter on quadratics; see pg1314 for exercises on completing the square, including contextbased problems.
WHiteboard Display
Master the basics activities (C. Norledge)
Workout (Study Maths)
Question generator for simple CTS problems  good for basic repeated practice.
 Completing the square: Questions graded in difficulty from simple problems up to negative coefficients of x squared and problems involving factorising first.
 Finding turning points by completing the square: Standard tenproblem exercise requiring pupils to apply CTS to find turning points of quadratics.
 Finding turning points using symmetry: Pupils find turning points using symmetry; the examples here might also be useful.
Workout (Study Maths)
Question generator for simple CTS problems  good for basic repeated practice.
Revision Resources
Examstyle questions (Corbett Maths)
Revision booklet with examstyle questions (1MAO) on completing the square. There's also a workout sheet available.
Revision booklet with examstyle questions (1MAO) on completing the square. There's also a workout sheet available.
Enrichment, Extension and Problemsolving
Resources to extend thinking, enrich lessons or enhance problemsolving skills
History of Maths
101 uses of a quadratic equation (PlusMaths)
Article detailing the importance of quadratic equations.
Article detailing the importance of quadratic equations.
Other Links and Resources
Useful stuff that doesn't fit anywhere else
Card Sorts
Completing the square dominoes (Teachit Maths)
Domino loop; pupils match quadratic with completed square.
Minimum/maximum points card match activity (Nuffield)
Match quadratic, completed square and graph; challenging activity which should stretch even the highest achievers!
Domino loop; pupils match quadratic with completed square.
Minimum/maximum points card match activity (Nuffield)
Match quadratic, completed square and graph; challenging activity which should stretch even the highest achievers!
Interactives
Completing the square calculator (Wolfram Alpha)
Useful for checking answers when creating resources or for pupils to check independent work.
Geogebra demonstration (Link)
Visual demonstration of standard completing the square formula.
Useful for checking answers when creating resources or for pupils to check independent work.
Geogebra demonstration (Link)
Visual demonstration of standard completing the square formula.
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