Appendix
A: Mathematics 9 Prescribed Learning Outcomes
The organizers for Mathematics
9 are as follows:
Problem Solving
Number (Number Concepts)
Number (Number Operations)
Patterns and Relations (Patterns)
Patterns and Relations (Variables and Equations)
Shape and Space (Measurement)
Shape and Space (3-D Objects and 2-D Shapes)
Statistics and Probability (Data and Analysis)
Statistics and Probability (Chance and Uncertainty)
Problem
Solving
In order to prepare students
to use a variety of methods to solve real-life, practical, technical, and theoretical
problems, it is expected that students will:
- solve problems that involve
a specific content area (e.g., geometry, algebra, statistics, probability)
- solve problems that involve
more than one content area within mathematics
- solve problems that involve
mathematics within other disciplines
- analyse problems and
identify the significant elements
- develop specific skills
in selecting and using an appropriate problem-solving strategy or combination
of strategies chosen from, but not restricted to, the following:
- guess and check
- identify patterns
and use a systematic list
- make and use a drawing
or model
- eliminate possibilities
- work backward
- simplify the original
problem
- select and use appropriate
technology to assist in problem solving
- analyse keywords
- solve problems individually
and co-operatively
- determine that solutions
to problems are correct and reasonable
- clearly and logically
communicate a solution to a problem and the process used to solve it
- evaluate the efficiency
of the processes used
- use appropriate technology
to assist in problem solving
In order to prepare students
to develop a number sense of powers with integral exponents and variable and
rational bases, it is expected that students will:
- give examples of situations
where answers would involve the positive (principal) square root or both positive
and negative square roots of a number
- illustrate power, base,
coefficient, and exponent using rational numbers or variables as bases or
coefficients
In order to prepare students
to use a scientific calculator or a computer to solve problems involving rational
numbers, it is expected that students will:
- document and explain
the calculator keying sequences used to perform calculations involving rational
numbers
- solve problems, using
rational numbers in meaningful contexts
- evaluate exponential
expressions with numerical bases
Patterns
and Relations (Patterns)
In order to prepare students
to generalize, design, and justify mathematical procedures using appropriate
patterns, models, and technology, it is expected that students will:
- model situations that
can be represented by first-degree expressions
- write equivalent forms
of algebraic expressions, or equations, with integral coefficients
In order to prepare students
to evaluate, solve, and verify linear equations in one variable and to
generalize arithmetic operations from the set of rational numbers to the set
of polynomials. It is expected that students will:
- illustrate the solutions
process for a first-degree, single-variable equation, using concrete materials
or diagrams
- solve and verify first-degree,
single-variable equations of forms such as: ax = b + cx; a(x+b)=c; ax +
b = cx + d where a, b, c, and d are integers, and use equations
of this type to model and solve problems
- identify constant terms,
coefficients, and variables in polynomial expressions
- evaluate polynomial expressions,
given the value(s) of the variable(s)
Shape
and Space (Measurement)
In order to prepare students
to use trigonometric ratios to solve problems involving right triangles, it
is expected that students will:
- explain the meaning of
sine, cosine, and tangent ratios in right triangles
- demonstrate the use of
trigonometric ratios (sine, cosine, and tangent) in solving right triangles
- calculate an unknown
side or an unknown angle in a right triangle, using appropriate technology
- model and then solve
given problem situations involving only one right triangle
Shape
and Space (3-D Objects and 2-D Shapes)
In order to prepare students
to use spatial problem solving in building, describing, and analysing geometric
shapes and specify conditions under which triangles may be similar or congruent
and use these conditions to solve problems, it is expected that students will:
- draw the plan and elevation
of a 3-D object from sketches and models
- sketch or build a 3-D
object, given its plan and elevation views
- recognize when, and explain
why, two triangles are similar, and use the properties of similar triangles
to solve problems
- recognize when, and explain
why, two triangles are congruent, and use the properties of congruent triangles
to solve problems
Statistics
and Probability (Data Analysis)
In order to prepare students
to collect and analyse experimental results expressed in two variables, using
technology as required, it is expected that students will:
- design, conduct, and
report on an experiment to investigate a relationship between two variables
- create scatter plots
- interpret a scatter plot
to determine if there is an apparent linear relationship
- determine the lines of
best fit from a scatter plot for an apparent linear relationship by:
- inspection
- using technology
(equations are not expected)
- draw and justify conclusions
from the line of best fit
Statistics
and Probability (Chance and Uncertainty)
In order to prepare students
to explain the use of probability and statistics in the solution of problems,
it is expected that students will:
- recognize that decisions
based on probability may be a combination of theoretical calculations, experimental
results, and subjective judgments
- demonstrate an understanding
of the role of probability and statistics in society
- solve problems involving
the probability of independent events
© Copyright 2001. All Rights Reserved. BC MOE Standards Department.
Maintained by: Mathematics Coordinator
Revised: September 1, 2001
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