INTRODUCTION TO MATHEMATICS 10 TO 12

Principles of Mathematics Pathway

Problem Solving
Principles of Math 10
Principles of Math 11
Principles of Math 12
  • use a variety of methods to solve real-life, practical, technical, and theoretical problems
  • use a variety of methods to solve real-life, practical, technical, and theoretical problems
  • use a variety of methods to solve real-life, practical, technical, and theoretical problems
Number

Number Concepts

  • analyse the numerical data in a table for trends, patterns and interrelationships.
  • explain an illustrate the structure and the interrelationship of the sets of numbers within the real number system.
Number Operations
  • describe and apply arithmetic operations on tables to solve problems, using technology as required.
  • use basic arithmetic operation on real numbers to solve problems.

 

  • solve consumer problems, using arithmetic operations.
Patterns and Relations
Patterns
  • generate and analyse number patters
  • apply the principles of mathematical reasoning to solve problems and to justify solutions.
  • generate and analyse exponential patterns
Variables and Equations
  • generalize operations on polyomials to include rational expressions.
  • represent and analyse situations that involve expressions, equations and inequalities.
  • Solve exponential, logarithmic and trigonometric equations and identities
Relations and Functions
  • examine the nature of relations with an emphasis on functions.
  • Represent data, using function models.
  • examine the nature of relations with an emphasis on functions.
  • Represent and analyse quadratic, polynomial and rational functions, using technology as appropriate.
  • Represent and analyse exponential and logarithmic functions, using technology as appropriate.
Shape and Space
Measurement
  • demonstrate an understanding of scale factors, and their interrelationship with the dimensions of similar shapes and objects.
  • Solve problems involving triangles, including those found in 3-D and 2-D applications.
  • Solve problems involving triangles, including those found in 3-D and 2-D applications.
  • Solve coordinate geometry problems involving lines and line segments, and justify the solutions.

3-D Objects and
2-D Shapes
  • solve coordinate geometry problems involving lines and line segments
  • develop and apply the geometric properties of circles and polygons to solve problems.
  • classify conic sections, using their shapes and equations.
Transformations
  • perform, analyse and create transformations of functions and relations that are described by equations or graphs.
Statistics and Probability
Data Analysis
  • implement and analyse sampling procedures, and draw appropriate inferences from the data collected.
Chance and Uncertainty
  • use normal and binomial probability distributions to solve problems involving uncertainty.
  • Solve problems based on the counting of sets, using techniques such as the fundamental counting principle, permutations and combinations.
  • model the probability of a compound event, and solve problems based on the combining of simpler probabilities

 


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Maintained by: Mathematics Coordinator
Revised: Janaury 11, 2001

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