Completivos study-guide for 8th grade.
1. Percentage-related problems.
2. Rates and ratios related problems.
3. Solving simultaneous equations graphically.
4. Solving simultaneous equations by: elimination, substitution.
5. Inequalities: the integers, the whole numbers, the Real Numbers.
6. Factorization.
7. Formulas for factorization:
a2-b2 , (a-b)2, etc.
8. Similar Triangles. Proof for similarities.
9. Sector: finding areas and lengths.
10. Volumes: solids, sphere, cone, cylinder, etc.
2. Long division.
3. Nature of roots of quadratic equations.
4. Surds.
5. Equation with surds.
7. Common Logarithm and Natural Logarithm.
8. Common Logarithm and Natural Logarithm Properties.
9. Common Logarithm and Natural Logarithm Equations.
11. Equations of a line: parallel lines, perpendicular lines, bisector line, middle points, distance formula.
12. Trigonometry: radians, degree, CAST, equations.
9th grade Completivos Study Guide.
1. Law of indices (exponents).
2. Quadratic Equations: Solution by factorization or the General Formula.
3. Equation of a straight line: y = mx + c gradient, y-intercept, (being m the gradient)
4. Trigonometric ratios: sine, cosine and tangent of a given angle.
5. The Cosine Rule.
6. The Sine Rule.
7. Bearings.
8. Functions. The inverse of a function.
9. Circle properties: Chord, tangent, diameter, and radius.
10. Angles of a triangle.
11. The Pythagoras ‘theorem.
12. Set Theory: union, interception, complement, etc.
11th grade Completivos Study Guide.
1. Simultaneous equations.
10. Change of base for logarithm.
12th grade Completivos Study Guide.
1. Geometry: similar triangles, properties of circle parts.
2. Equation of a circle in the coordinate plane: radius, center.
3. Distance Formula in the coordinate plane.
4. Derivatives: of polynomial functions.
5. Gradient of a line and a curve.
6. Chain rule.
7. Differentiation Quotient Rule.
8. Differentiation Product Rule.
9. Turning Points and Stationary Points of inflexions: minima, maxima.
10. Differentiation of trigonometric functions.
11. Differentiation of logarithm and e^u , where u is a function of x.
12. Tangent and Normal lines.
13. Integration: Indefinite and Definite Integrals.
