1. Summarizing Changes in the New Manitoba Mathematics 10-12 Curriculum
Trades and
Consumer Workplace
Math Mathematics
Fundamentals
New Names
Applied
of Mathematics
New Content
Math
New Focus
Pre-Cal
Mathematics
Math
for Sciences
Title: May 14-1:03 AM (1 of 11)

2. The Various Interpretations/Meanings Associated with Rational Numbers
infinite equivalent
common fractions
(1/2, 2/4, etc)
fraction
infinite equivalent
decimal fractions
decimal percent (0.25, 0.250, etc)
grounded in multiplicative reasoning
with multiple representations
measurements
multiplicative
operator
3/4 as a ratio
3/4 as a part-whole
(3/7 as the part-
relation
whole relation)
quot;multiplication
3/4 as a quotient
always(?) makes
(division)
things biggerquot;
Title: May 14-2:05 AM (2 of 11)

3. The Various Interpretations/Meanings Associated with Rational Numbers
infinite equivalent
common fractions
(1/2, 2/4, etc)
fraction
infinite equivalent
decimal fractions
decimal percent (0.25, 0.250, etc)
grounded in multiplicative reasoning
with multiple representations
measurements
multiplicative
operator
3/4 as a ratio
3/4 as a part-whole
(3/7 as the part-
relation
whole relation)
quot;multiplication
3/4 as a quotient
always(?) makes
(division)
things biggerquot;
Title: May 14-2:05 AM (3 of 11)

4. Changes in Content Related to Rationals ...
Fundamentals
Applied
of Mathematics
Math
Grade 10
?
New Names
1 Course
Pre-Cal
Mathematics
Math
for Sciences
• 2D/3D Projects
• Trigonometry
• Data Management/Analysis
- Proportional Reasoning and
New Content Conversions
New Focus - Irrational Numbers
• Trigonometry
- Partial & Direct Variation
• Geometry
• Rational Expressions
• Rational Equations
• Statistics and Probability
Title: May 14-1:18 AM (4 of 11)

5. Changes in Content Related to Rationals ...
Grade 11
Fundamentals
Applied
New Name of Mathematics
Math
- Measuring Instruments , error
- rate problems, proportional
• Non-Linear Functions
reasoning and scale diagrams
• Personal Finance
- the effect of change in linear
• Systems of Equations New Content
scale factors
• Linear Programming New Focus
- laws of sines and cosines
• Budgets and Investments
- interpret assess odds and
• Data Management and Analysis
probability statements used in
• Precision Measurement
the media
• Geometry
- interpret statistical data in the
media (confidence intervals,
confidence levels and margin
of error)
Title: May 14-1:18 AM (5 of 11)

6. Changes in Content Related to Rationals ...
Grade 12
Fundamentals
Applied
New Name of Mathematics
Math
- credit, interest
• Matrix Modeling - leasing, buying or renting
• Vectors - investment portfolio
• Personal Finance - mathematical strategies to
New Content
• Probability solve puzzles and games
New Focus
• Variability and Statistical - independent/dependent
Analysis events, mutually exclusive and
• Design and Measurement complimentary events,
• Applications of Periodic conditional probability
Functions - problems with permutations
• Sequences and combinations
Title: May 14-1:18 AM (6 of 11)

7. Changes in Content Related to Rationals ...
Grade 11
Mathematics
Pre-Cal
for Sciences
New Name
Math
• Quadratic Functions - primary trig ratios
• Trigonometry - laws of sine and cosine
• Analytic Geometry - inverse relations
New Content
• (Circle) Geometry - arithmetic/geometric
New Focus
• Consumer Math sequences and series
• Logic/Proof - reciprocal functions
• Functions
Title: May 14-1:18 AM (7 of 11)

8. Changes in Content Related to Rationals ...
Grade 12
Mathematics
Pre-Cal
for Sciences
New Name
Math
- primary trig ratios
- graph/analyse trig functions
- solve trig equations (first &
• Circular Functions
second degree)
• Transformations
- trig identities
• Trigonometric Identities New Content - +, -, x, quotient of functions
• Exponents & Logarithms New Focus - horizontal and vertical
• Permutations/Combinations
stretches
& Binomial Theorem
- equivalent forms and
• Conics
operations on rational
• Probability
expressions
• Geometric Sequences
- graph/analyze rational
• [Statistics]
functions; rational equations
and problems
Title: May 14-1:18 AM (8 of 11)

9. Changes in Content Related to Rationals ...
Grade 10
Trades and
Consumer Workplace
New Name
Math Mathematics
- develop a project plan for
the design of an object and
create a model
- demo understanding of SI &
• Problem Analysis
Imp systems by describing
• Analysis of Games and
rel. btw. units (length, area,
Numbers
volume, mass, temp)
• Spreadsheets
New Content comparing units and applying
• Wages and Salaries
New Focus
conversion strategies
• Trigonometry
- solve linear and ara
• Spatial Geometry
problems in SI and Imp
• Consumer Decisions
systems
• Geometry Project
- demo understanding of
• Personal Banking
similar polygons
• Probability and Sampling
- solve problems using trig
ratios
- proportional reasoning
Title: May 14-1:18 AM (9 of 11)

10. Changes in Content Related to Rationals ...
Grade 11
Trades and
Consumer Workplace
New Name
Math Mathematics
- Develop project plan for
• Problem Analysis design & creation of model
• Analysis of Games and of object
Numbers - solve problems using unit
• Relations and Formulas analysis
• Income and Debt New Content - solve problems involving
New Focus
• Data Analysis and oblique triangles and angles
Interpretation - personal budgets
• Measurement Technology - investments/financial
• Owning and Operating a decisions
Vehicle - purchase a vehicle
• Personal Income Tax - manipulate formulas
• Applications of Probability - solve problems involving
slope
Title: May 14-1:18 AM (10 of 11)

11. Changes in Content Related to Rationals ...
Grade 12
Trades and
Consumer Workplace
New Name
Math Mathematics
- Develop project plan for
design & creation of model
of object
- demo understanding of
• Problem Analysis limitations of measuring
• Analysis of Games and instruments
Numbers - solve problems involving
• Personal Finance dilatations
• Design and Measurement - solve problems involving
New Content
• Government Finance scale
New Focus
• Statistics - solve direct, partial and
• Investigative Project inverse variation problems
• Career/Life Project - measures of central
• Investments tendency
• Income Tax - std dev. and the normal
• Variation and Formulas curve
• Completing a Portfolio - percentiles
- probability
Title: May 14-1:18 AM (11 of 11)