Syllabus focus for the final exam - 2010-11
Numbers
Set Theory
Algebra
Geometry
Mensuration
Co-ordinate Geometry
- Approximation -obtain appropriate upper and lower bounds to solutions of simple problems given data to a specified accuracy
- Estimation -estimate the value of problems on decimals without using a calculator.
- Percentages -finding percentage increase, decrease , profit% , loss%.
- Simple and compound interest
- Ratio & Proportion -finding ratio of given quantities, direct and indirect proportion.
- Surds -writing surds in simplest form, rationalizing factor of a surd, operations on surds.
Set Theory
- Notation & terminology, Union and intersection of sets, complement set, Venn diagram.
Algebra
- Brackets & Simplifying -Removing brackets and simplifying algebraic expressions by adding the like terms, Change of subject of a formula
- Linear Equations -finding solutions of linear equations and framing equations for word problems in linear equations.
- Simultaneous linear equations -solving simultaneous linear equations using substitution method and elimination method. Framing simultaneous linear equations for word problems and solving them.
- Factorization -factorizing algebraic expressions by taking a monomial common, a binomial common and by splitting the middle term.
- Quadratic equations -finding solution of a quadratic equation by factorization and using the quadratic formula. Framing quadratic equations for word problems and solving them.
- Sequence -finding the next two terms of a sequence and general term of a sequence.
- Linear inequalities- solution of a linear inequality in real line, use of GDC to find the solution.
- Indices-product law, quotient law and power law.
- Direct & Inverse variation-problems on direct and inverse variation.
Geometry
- Symmetry - line of symmetry and rotational symmetry
- Pythagoras Theorem -application of Pythagoras theorem in right angled triangle.
- Polygons -Angle sum property of a polygon, interior and exterior angles of a polygon.
Mensuration
- Perimeter and area of rectangle, triangle and compound shapes derived from these. Circumference and area of a circle.
- Arc length and area of sector.
- Surface area and volume of prism and pyramid. Surface area and volume of a sphere.
Co-ordinate Geometry
- distance between two points, midpoint of line segment,
- gradient of a line segment, gradient of parallel lines,
- equation of a straight line in ‘slope-intercept’ form and ‘standard’ form.
- Parallel and perpendicular lines;
- Linear inequalities on the Cartesian plane.
