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INTRODUCTION TO MATHEMATICS 10 TO 12

Applications of Mathematics Pathway

Problem Solving
Applications of Math 10
Applications of Math 11
Applications 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
Number Operations
  • use basic arithmetic operation on real numbers to solve problems.
  • describe and apply arithmetic operations on tables to solve problems, using technology as required.
  • solve consumer problems, using arithmetic operations.
  • describe and apply operations on matrices to solve problems, using technology as required.
  • design or use a spreadsheet to make and justify financial
Patterns and Relations
Patterns
  • generate and analyse cyclic, recursive and fractal patterns
Variables and Equations
  • represent and analyse situations that involve expressions, equations and inequalities.
  • use linear programming to solve optimization problems.
Relations and Functions
  • examine the nature of relations with an emphasis on functions.
  • represent data, using function models.
  • represent and analyse quadratic, polynomial and rational 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.
  • demonstrate an understanding of scale factors, and their interrelationship with the dimensions of similar shapes and objects.
  • use measuring devices to make estimates and to perform calculations in solving problems.
  • analyse objects, shapes and processes to solve cost and design problems.
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.
  • solve problems involving polygons and vectors, including both 3-D and 2-D applications.
Statistics and Probability
Data Analysis
  • implement and analyse sampling procedures, and draw appropriate inferences from the data collected.
  • analyse graphs or charts of given situations to derive specific information.
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: January 11, 2001

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