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Problem
Solving
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Principles
of Math 10
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Principles
of Math 11
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Principles
of Math 12
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- use a variety of
methods to solve real-life, practical, technical, and theoretical problems
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- use a variety of
methods to solve real-life, practical, technical, and theoretical problems
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- use a variety of
methods to solve real-life, practical, technical, and theoretical problems
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| Number |
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Number Concepts
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- 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.
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| 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.
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- solve consumer
problems, using arithmetic operations.
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| Patterns
and Relations |
| Patterns |
- generate and analyse
number patters
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- apply the principles
of mathematical reasoning to solve problems and to justify solutions.
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- generate and analyse
exponential patterns
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| Variables
and Equations |
- generalize operations
on polyomials to include rational expressions.
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- represent and analyse
situations that involve expressions, equations and inequalities.
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- Solve
exponential, logarithmic and trigonometric equations and identities
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| Relations
and Functions |
- examine the nature
of relations with an emphasis on functions.
- Represent data,
using function models.
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- examine the nature
of relations with an emphasis on functions.
- Represent and analyse
quadratic, polynomial and rational functions, using technology as appropriate.
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- Represent
and analyse exponential and logarithmic functions, using technology
as appropriate.
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| 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.
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- 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.
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3-D
Objects and
2-D Shapes |
- solve coordinate
geometry problems involving lines and line segments
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- develop and apply
the geometric properties of circles and polygons to solve problems.
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- classify conic
sections, using their shapes and equations.
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| Transformations |
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- perform, analyse
and create transformations of functions and relations that are described
by equations or graphs.
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| Statistics
and Probability |
| Data
Analysis |
- implement and analyse
sampling procedures, and draw appropriate inferences from the data collected.
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| Chance
and Uncertainty |
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- 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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