Math AA

Numbers and Algebra:

• number systems

• Units for mass, time, length, and their derived units

• Rounding, decimal approximations and significant figures

• Use of addition, subtraction, multiplication and division using integers, decimals and fractions, including order of operations

• Prime numbers, factors and multiples

• GCF and LCM

• Applications of ratio, percentage and proportion

• Manipulation of algebraic expressions

• Rearranging formulae

• Calculating the numerical value of expressions

• Evaluating exponential expressions

• Use of inequalities

• Simplification of simple expressions

• Rationalising the denominator

• Expression of numbers in Scientific Notation

• Solution of linear and quadratic equations

• Solving systems of linear equations in two variables

• Concept and basic notation of sets

• Addition and subtraction of algebraic fractions

Functions:

• Graphing linear and quadratic functions using technology

• Mappings of the elements of one set to another

• Pythagoras’ theorem and its converse

• Mid-point of a line segment and the distance between two points in the Cartesian plane

• Geometric concepts: point, line, plane, angle

• Angle measurement in degrees, compass directions

• The triangle sum theorem

• Right-angle trigonometry, including simple applications for solving triangles

• Three-figure bearings

• Simple geometric transformations: translation, reflection, rotation, enlargement

• The circle, its centre and radius, area and circumference. The terms diameter, arc, sector, chord, tangent and segment

• Perimeter and area of plane figures. Properties of triangles and quadrilaterals, including parallelograms, rhombuses, rectangles, squares, kites and trapezoids; compound shapes

• Familiarity with three-dimensional shapes (prisms, pyramids, spheres, cylinders and cones)

• Volumes and surface areas of cuboids, prisms, cylinders, and compound three-dimensional shapes

Statistics and Probability:

• The collection of data and its representation in bar charts, pie charts, pictograms, and line graphs

• Obtaining simple statistics from discrete data, including mean, median, mode, range

• Calculating probabilities of simple events

• Venn diagrams for sorting data

• Tree diagrams

Calculus:

• Speed = distance/time

The internal assessment is going to be a 12-20 page report with double line spacing. It can be done electronically or handwritten.

The purpose of the internal assessment is to demonstrate the application of your skills and knowledge without the time limitations and other constraints that are associated with written examinations. This paper is going to be graded by the teacher, Mr. Ogorek, and will be required of both SL and HL. For both levels, the Internal Assessment will be worth 20% of the final mark.

Criterion of Internal assessment:

1. Presentation

2. Mathematical Communication

3. Personal Engagement

4. Reflection

5. Use of Mathematics

This paper is not a one person operation. You are allowed to discuss your exploration with myself as well as other students as long as all of the explorations are your own work. You will be turning in a first draft of your paper which I will then return to you with either verbal or written notes on how to improve upon your work. The next copy submitted will be your final copy.