IB Mathematical Studies Standard Level
Scheme of Work
Presumed Knowledge
Students are presumed to know the topics listed below. In addition, at the end of year 11, students are assigned summer work to prepare them for the IB Maths Studies course.
Summer work: Chapter 1 to 4 from Mathematics for the International Student : Mathematical Studies third edition
Basic use of the four operations of arithmetic, using integers, decimals and fractions, including order of operations.
Examples: .
Prime numbers, factors and multiples.
Simple applications of ratio, percentage and proportion.
Basic manipulation of simple algebraic expressions, including factorization and expansion.
Examples: ; .
Rearranging formulae.
Example: ⇒ .
Evaluating expressions by substitution.
Example: If then .
Solving linear equations in one variable.
Examples:
Solving systems of linear equations in two variables
Example:
Evaluating exponential expressions with integer values.
Examples:
Use of inequalities , ≥ .
Intervals on the real number line.
Example:
Solving linear inequalities.
Example:
Familiarity with commonly accepted world currencies.
Examples: Swiss franc (CHF); United States dollar (USD); British pound sterling (GBP); euro (EUR); Japanese yen (JPY); Australian dollar (AUD).
The collection of data and its representation in bar charts, pie charts and pictograms.
Basic geometric concepts: point, line, plane, angle.
Simple two-dimensional shapes and their properties, including perimeters and areas of circles, triangles, quadrilaterals and compound shapes.
SI units for length and area.
Pythagoras’ theorem.
Coordinates in two dimensions.
Midpoints, distance between points.
STUDENTS TO ENSURE THEY HAVE THE CORRECT OPERATING SYSTEM ON THEIR GDC’s. (2.55 as of Aug 2012)
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Content
Specific Objectives
GDC and Technology Support
Topic 2 – Descriptive Statistics
2.1 Classification of data as discrete or continuous....