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Math · 10th Grade
Completing the Square
Turning any quadratic into vertex form — and where the quadratic formula comes from.
How to use it
Halve b, square it, add and subtract. Three moves, always in that order.
Free · print-ready PDF · US Letter and A4
- Grade
- 10th Grade
- Ages
- 15–16
- Subject
- Math
- Pages
- 1
The rest of the 10th Grade wall
49 more posters, all free to print — 11 of them here.
Vertex FormThe form that hands you the graph without any working at all.End Behaviour of PolynomialsWhat the graph does at the far left and far right, from two pieces of information.Sum and Difference of CubesTwo patterns worth memorising, and the sign rule that keeps them straight.Rational ExpressionsFractions with algebra in them — and the values that are forbidden.Complex NumbersWhat happens when the discriminant is negative.LogarithmsA log is an exponent — reading the definition backwards makes everything easier.SOH-CAH-TOAThree ratios, and the labelling step that decides which one you need.The Special TrianglesTwo triangles whose exact ratios are worth knowing without a calculator.The Unit CircleTrig beyond right triangles, and the sign pattern in each quadrant.Circle TheoremsSix results that solve almost every circle question.Coordinate ProofsProving a shape is what it claims to be, using only distance and slope.