A-levelNumber and algebra
Completing the square
Rewrite quadratics, find turning points, and solve in exact form.
1 lesson31 worksheets178 questions
Lessons
These free MathLab Learn guides are arranged in the order they are most useful for this stage.
Practise
Practice moves from direct fluency towards application, reasoning and synthesis.
- IntroPractice
Rewriting quadratics in completed-square form
Step 1 · 11 worksheets · 73 questions
- Express In Completed Square FormQuadratics · 12 questionsPractise in MathLab →
- Express In Completed Square Form Set 2Quadratics · 12 questionsPractise in MathLab →
- Express In Completed Square Form Set 3Quadratics · 12 questionsPractise in MathLab →
- Express In Form (x+a)^2 + BQuadratics · 12 questionsPractise in MathLab →
- Express In Form (x+a)^2 + B Set 2Quadratics · 5 questionsPractise in MathLab →
- Express In Form A(x + B)^2 + CQuadratics · 12 questionsPractise in MathLab →
- Express In Form A(x + B)^2 + C Set 2Quadratics · 2 questionsPractise in MathLab →
- Complete The SquareQuadratics · 1 questionPractise in MathLab →
- Completing The SquareQuadratics · 1 questionPractise in MathLab →
- Completing The SquareMixed Algebra · 2 questionsPractise in MathLab →
- Algebraic ManipulationMixed Algebra · 2 questionsPractise in MathLab →
- Practice
Turning points, symmetry, extrema, and range
Step 2 · 8 worksheets · 36 questions
- Find Turning Point And Y InterceptQuadratics · 12 questionsPractise in MathLab →
- Find Turning Point And Y Intercept Set 2Quadratics · 3 questionsPractise in MathLab →
- Completed Square And Line Of SymmetryQuadratics · 1 questionPractise in MathLab →
- Turning Point And InterceptQuadratics · 1 questionPractise in MathLab →
- Complete The Square And RangeMixed Algebra · 5 questionsPractise in MathLab →
- Maximum Or Minimum ValueQuadratics · 12 questionsPractise in MathLab →
- Completing The Square And Minimum PointQuadratics · 1 questionPractise in MathLab →
- Minimum Value By Completing The SquareQuadratics · 1 questionPractise in MathLab →
- Practice
Solving by completing the square
Step 3 · 4 worksheets · 32 questions
- Solve By Completing The SquareQuadratics · 12 questionsPractise in MathLab →
- Solve By Completing The Square Set 2Quadratics · 12 questionsPractise in MathLab →
- Solve By Completing The Square Set 3Quadratics · 7 questionsPractise in MathLab →
- Roots In Terms Of A ConstantQuadratics · 1 questionPractise in MathLab →
- PracticeChallenge
Graphs and transformations
Step 4 · 5 worksheets · 28 questions
- Sketch The CurveQuadratics · 12 questionsPractise in MathLab →
- Sketch The Curve Set 2Quadratics · 12 questionsPractise in MathLab →
- Completing The Square And Graph TransformationsMixed Algebra · 1 questionPractise in MathLab →
- Completing The Square And TransformationsMixed Algebra · 2 questionsPractise in MathLab →
- Completing The Square And Inverse TransformationsMixed Algebra · 1 questionPractise in MathLab →
- Challenge
Derivation, proof, and mixed synthesis
Step 5 · 3 worksheets · 9 questions
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