MathsliveGrinds

What each class has covered

Grind by grind, what every class has done so far this term. It's not too late to join — with the full course, every class so far is recorded and ready to do.

6th Year Higher

8 grinds so far · two grinds a week

1. Grind 1Algebra — Completing the SquarePolynomials & terminology · Functions, tables & graphs · Evaluating expressions · Expanding & simplifying · Perfect squares · Missing terms · Completing the square
2. Grind 2Factors, Multiples & FractionsFactors of a number · Type 1 — Grouping · Type 2 — Difference of two squares · Type 3 — Sum & difference of two cubes · Type 4 — Trinomials (quadratics) · Type 5 — Combinations · Multiples · Algebraic fractions
3. Grind 3Factors, Fractions & QuadraticsCompleting the square · Simplifying fractions · Quadratic equations · The quadratic formula · If we get there: −x² completing the square
4. Grind 4Quadratics, Fractions & ModulusCompleting the square · The quadratic formula and the discriminant · Algebraic fractions · Complex fractions · Absolute value (modulus)
5. Grind 5Quadratics, Inequalities & ModulusCompleting the square · Linear inequalities · Quadratic inequalities · Absolute value (modulus)
6. Grind 6Inequalities, Proof & CubicsInequalities — fractions · Inequalities — absolute value · Abstract proof · Cubics
7. Grind 7The Factor Theorem
8. Grind 8SurdsThe factor theorem · Simplifying surds · Multiplying surds · Dividing surds · Surd equations · Simultaneous equations

6th Year Ordinary

4 grinds so far · one grind a week

1. Grind 1Algebra — the basicsNumber using letters · Adding & subtracting · Multiplying out · Equations · Fractions
2. Grind 2EquationsMultiplying out brackets · Equations · Quadratic equations · Simultaneous equations
3. Grind 3InequalitiesInequalities · Simultaneous equations
4. Grind 4Quadratics & Simultaneous EquationsThe quadratic formula · Simultaneous equations · Substitution

5th Year Higher

4 grinds so far · one grind a week

1. Grind 1Functions, Simplifying & FactorsFunctions & the Cartesian plane · Simplifying · Evaluations · Factors of a number · Type 1 — Grouping · Type 2 — Trinomials · Type 3 — Difference of two squares · Type 4 — Sum & difference of two cubes · Type 5 — Combinations
2. Grind 2Perfect Squares, Functions & FractionsPerfect squares · Squares in disguise · Functions · Algebraic fractions · Proving a constant, and cancelling
3. Grind 3Fractions, Functions & QuadraticsSimplifying algebraic fractions · Proving a constant · Functions · Linear equations & graphs · Quadratic equations · The discriminant
4. Grind 4Quadratics & Simultaneous EquationsConstants & fractions · Quadratics & the discriminant · Completing the square · Simultaneous equations