Mathematics, Secondary 3

Unit 1: Arithmetic

The PDA Arithmetic branch, Secondary 3.

• Rational versus irrational numbers

• Representing subsets of the real numbers

• The concept of absolute value
• Relating first-degree/rational functions to proportional situations

• Numbers in scientific notation
• Cubes and cube roots
• Powers with fractional exponents

• Estimating the value of a power

• Order of magnitude with scientific notation

• Operating with numbers in exponential and radical form
• Integral and fractional exponents on a rational base

• Operating on numbers in fractional notation

Unit 2: Algebra

The PDA Algebra branch, Secondary 3.

• The idea of a parameter
• Algebraic expressions of degree less than 3
• Distinguishing an unknown from a variable
• Choosing the dependent and independent variables

• The rule for inequalities with negatives
• Transforming inequalities

• Multiplying an algebraic expression by a monomial
• Representing an inequality another way
• Validating a solution
• Relations, functions and inverses

• Reading a common factor in context
• Interpreting a solution or making a decision

• Describing a situation with an inequality
• Describing a pattern with an equation (deeper)

• Describing relations or formulas
• Describing patterns with equations

• Solving first-degree inequalities in one variable

• Solving systems of two first-degree equations

• Polynomial functions of degree 0 or 1

• The first-degree function y = ax + b

• Piecewise functions

Unit 3: Geometry

The PDA Geometry branch, Secondary 3.

• Legs and hypotenuse of a right triangle

• Right cones and spheres

• Representing 3-D figures in the plane
• Justifying statements about volume or capacity

• Segments in a solid from isometry or similarity
• Area of a right cone and a sphere
• Volume relations for cylinders, pyramids, cones, spheres
• The Pythagorean relation

• Area under a similarity transformation
• Area of spheres, cones and decomposable solids
• Volume of prisms, cylinders, pyramids, cones and spheres
• Volume of decomposable solids
• Volume of solids under isometry or similarity

• Relationships between SI units of volume

• Measures of capacity
• Measures of volume and capacity

• Metric relations in plane figures

• Metric relations in a right triangle

Unit 4: Analytic Geometry

The PDA Analytic Geometry branch, Secondary 3.

• Distance between two points
• Slope of a line

• Relative position of two lines by slope

• Equations of straight lines

Unit 5: Statistics

The PDA Statistics branch, Secondary 3.

• Grouped data, histograms and box plots

• Measures of central tendency

• Comparing experimental and theoretical data

Unit 6: Probability

The PDA Probability branch, Secondary 3.

• Discrete versus continuous random variables

• Geometric probability

• Arrangements, permutations and combinations

• Conditional probability