Strand Analysis
Unit: Algebraic Concepts
Mathematics
Senior Mathematics 2004
Algebraic
Concepts
Algebraic Concepts: Symbolism/Apply apply algebraic symbolism as a tool to
represent mathematical relationships.
Computation
Computation: Error/Comprehend comprehend that rounding at intermediate steps
in a computation can cause an error to accumulate.
Equations
Equations: Understand/Use understand and use equations.
Grade 12 Equations: Various Formats/Represent represent
equations in various ways.
Grade 12 Equations: Algebraic/Solve obtain
solutions to algebraic equations.
Exponents
Exponents: Understand/Characteristics comprehend the characteristics of
exponents.
Expressions
Expressions: Apply Concept apply the concept of expressions.
Grade 12 Expressions: Procedures/Comprehend comprehend procedures for operating on algebraic expressions.
Grade 12 Expressions: Procedures/Apply apply procedures for operating on algebraic expressions.
Grade 12 Expressions: Evaluate evaluate algebraic expressions.
Inequalities
Inequalities: Methods/Comprehend Linear comprehend suitable methods to solve
linear inequalities.
Grade 12 Inequalities: Comprehend/Apply comprehend
and apply inequalities.
Grade 12 Inequalities: System/Comprehend Simple comprehend suitable methods to solve simple systems of linear
inequalities.
Grade 12 Inequalities: Various Formats/Represent represent
inequalities in various ways.
Grade 12 Inequalities: Algebraic/Solve obtain
solutions to algebraic inequalities.
Grade 12 Inequalities: Methods/Apply Suitable apply
suitable methods to solve linear inequalities.
Grade 12 Inequalities: Simple System/Methods apply
suitable methods to solve simple linear systems of inequalities.
Grade 12 Inequalities: Polynomials obtain
solutions to polynomial inequalities applying appropriate strategies.
Linear
Equations
Linear Equations: Methods/Comprehend comprehend suitable methods to solve linear
equations.
Grade 12 Linear Equations: Methods/Apply Suitable apply suitable methods to solve linear equations.
Operations
Operations: Real Number perform operations with real numbers to
obtain problem solutions.
Order of
Operations
Order of Operations: Apply correctly use the rules for order of
operations.
Polynomials
Polynomials: Procedures/Simplify apply suitable procedures to simplify
polynomial equations.
Grade 12 Polynomials: Inequalities/Simplify apply suitable procedures to simplify polynomial Inequalities.
Grade 12 Polynomial Equations: Solving solve polynomial equations using the appropriate method.
Problem
Solving
Problem Solving: Quantities/Variable obtain solutions to problems that involve
varying quantities with variables.
Grade 12 Problem Solving: Quantities/Expressions obtain
solutions to problems that involve varying quantities with expressions.
Grade 12 Problem Solving: Quantities/Equations obtain
solutions to problems that involve varying quantities with equations.
Grade 12 Problem Solving: Quantities/Inequalities obtain
solutions to problems that involve varying quantities with inequalities.
Grade 12 Problem Solving: Quantities/Abs. Value obtain solutions to problems that involve absolute values.
Rates
Rates: Derived Measures/Use use the concept of derived
measurements.
Grade 12 Rates: Concept/Use use
the concept of rate.
Systems
of Equations
°Systems of Equations: Simple/Solve obtain solutions to simple linear systems
of equations or inequalities.
Grade 12 Systems of Equations: Simple/Comprehend comprehend
suitable methods of solving simple linear systems of equations.
Grade 12 Systems of Equations: Simple/Methods apply
suitable methods to solve simple linear systems of equations.
Variable
Variable/Expression/Equation comprehend the concepts of variable,
expression, and equation.
Grade 12 Variable: Apply apply
variables.
Strand Analysis
Unit: Calculus and Pre-Calculus
Mathematics
Senior Mathematics 2004
Matrices
Matrices: Problem Solving apply matrices to obtain solutions
to problems.
Vectors
Vectors: Understand comprehend the characteristics of vectors.
Grade 12 Vectors: Understand/Applications develop
an understanding of the applications of vectors.
Strand Analysis
Unit: Data Interpretation
Mathematics
Senior Mathematics 2004
Data
Collection and Classification
Data Collection collect data.
Graphing
Graphs: Interpret interpret information presented in graphs.
Tables/Charts
Table/Chart/Graph: Read read information presented in tables,
charts and graphs.
Grade 12 Table/Chart: Interpret interpret information presented in tables and charts.
Strand Analysis
Unit: Decimals
Mathematics
Senior Mathematics 2004
Decimals
Decimals: Understand conceptually understand decimals.
Grade 12 Decimals: Use apply
decimals.
Strand Analysis
Unit: Fractions
Mathematics
Senior Mathematics 2004
Fractions
Fractions: Use apply fractions.
Grade 12 Fractions: Understand understand fractions.
Strand Analysis
Unit: Functions
Mathematics
Senior Mathematics 2004
Exponential
Functions
Exponential Functions: Real World/Model use basic exponential functions to
model real-world
phenomena, noting any restricted domains.
Functions
Functions: Comprehend/Concept comprehend the concept of a function.
Grade 12 Functions: Problems/Apply apply functions to various types of problems.
Polynomial
Functions
Polynomial Functions: Real World/Model use polynomial functions to model
real-world phenomena,
noting any restricted domains.
Rational
Functions
Rational Functions: Real World/Model use rational functions to model
real-world phenomena,
noting any restricted domains.
Representations
of Functions
Representations of Functions: Variety represent functions in various ways.
Strand Analysis
Unit: Geometry
Mathematics
Senior Mathematics 2004
Congruence
Congruence: Transformations/Comprehend comprehend congruence as it applies to
transformations.
Figures
Figures: Size/Use use the concept of size.
Grade 12 Figures: Shape/Use use
the concept of shape.
Logic
Logic: Determine Validity figure out the validity of an
argument.
Grade 12 Logic: Constructing Arguments construct
a valid argument.
Proofs
Proofs: Mathematical/Create apply logic to create mathematical
proofs.
Pythagorean
Theorem
Pythagorean Therorem:
Real World/Know understand the Pythagorean Theorem to obtain solutions to real world
problems.
Grade 12 Pythagorean Theorem: Real-World Problems solve
real-world problems using the Pythagorean Theorem.
Reasoning
Reasoning: Problems/Identify identify problems by applying reasoning
skills.
Grade 12 Reasoning: Deductive/Set Up apply
deductive reasoning to set up a problem
Grade 12 Reasoning: Inductive/Set Up apply
inductive reasoning to set up a problem.
Grade 12 Reasoning: Problems/Express express
problems mathematically by applying reasoning skills.
Similarity
Similarity: Transfromations/Comprehend
comprehend similarity as it applies to transformations.
Spatial
Relationships
Spatial Relationships: Concept/Use use the concept of spatial
relationship.
Transformations
Transformations: Scaling/Comprehend comprehend scaling as it relates to
variations in the size of one, two, and three-dimensional objects, while shape
is maintained.
Triangles
Triangles: Right/Relationships use geometric right triangle
relationships.
Strand Analysis
Unit: Integers
Mathematics
Senior Mathematics 2004
Integers
Integers: Positive Numbers/Comprehend comprehend positive numbers.
Grade 12 Integers: Negative Numbers/Comprehend comprehend negative numbers.
Grade 12 Integers: Positive Numbers/Apply apply positive numbers.
Grade 12 Integers: Negative Numbers/Apply apply negative numbers.
Strand Analysis
Unit: Mathematics Processes
Mathematics
Senior Mathematics 2004
Communication
Communication: Results/Apply Terminology communicate results applying
suitable terminology
Grade 12 Communication: Results/Apply Methods communicate
results applying suitable methods.
Grade 12 Communication: Math Information/Choose choose
a suitable means to communicate mathematical information.
Mathematical
Modeling
Modeling: Nature/Comprehend comprehend the nature of mathematical models.
Grade 12 Modeling: Use/Comprehend comprehend the use of mathematical models.
Strand Analysis
Unit: Measurement
Mathematics
Senior Mathematics 2004
Accuracy
Accuracy: Precision/Comprehend comprehend precision.
Grade 12 Accuracy: Precision/Comprehend Use comprehend the uses of precision.
Grade 12 Accuracy: Tolerance/Comprehend comprehend tolerance.
Grade 12 Accuracy: Tolerance/Comprehend Use comprehend
the uses of tolerance
Grade 12 Accuracy: Error Analysis/Apply apply error analysis.
Area
Area: Suitable Units determine area using suitable units.
Converting
Converting: Comprehend comprehend conversion.
Direct/Indirect
Measure
Indirect Measurement: Use/Concept use the concept of indirect
measurements.
Measurement
Concepts
Measurement Concepts: Customary/Comp. comprehend both customary and metric
units of measurement.
Measurement:
Analysis
Measurement Analysis: Unit Conversion apply dimensional analysis for unit
conversion.
Measurement:
Application
Measurement Application: Customary/Apply apply both customary and metric
units of measurement.
Units
Units: Appropriate make measurements using appropriate units (metric
and/or customary) for length, capacity, weight, time, and/or temperature.
Grade 12 Units: Comprehend comprehend
units.
Grade 12 Units: Equivalent/Comprehend comprehend equivalent units.
Grade 12 Units: Relationships/Comprehend comprehend the relationships between units.
Grade 12 Units: Comparable Units/Comprehend comprehend comparable units.
Grade 12 Units: Real World/Comprehend comprehend the relationship between units and real world applications.
Strand Analysis
Unit: Number Theory
Mathematics
Senior Mathematics 2004
Logarithms
Logarithms: Properties/Comprehend comprehend properties of logarithms.
Number
Sense
Number Sense: Everyday Situations/Apply use number sense in everyday
situations.
Number
Theory
Number Theory: Problem Solving use number theory concepts to solve
problems.
Ratio/Proportion
Ratio/Proportion: Apply/Scaling understand and apply proportions,
ratios, and scaling.
Grade 12 Ratio/Proportion: Application use the
meaning of ratio and proportion in problems.
Roots/Radicals
Roots/Radicals: Properties/Comprehend comprehend the properties of roots.
Scientific
Notation
Scientific Notation: Understand comprehend scientific notation.
Grade 12 Scientific Notation: Apply scientific
notation.
Strand Analysis
Unit: Numeration
Mathematics
Senior Mathematics 2004
Computing/Estimating
Computing correctly perform various computations.
Estimation
Estimating: Application both estimate and judge the
reasonableness of results.
Numeration
Numeration: Numbers/Comprehend comprehend numbers.
Grade 12 Numeration: Apply numbers
Sequences/Series
Sequences/Series: Sequences/Solve apply sequences to obtain solutions to
problems.
Strand
Analysis
Unit:
Percents
Mathematics
Senior
Mathematics 2004
Calculate
Percentages
Calculate Percentages: Apply percents.
Number
Sense
Number Sense: Percent/Comprehend comprehends percentage.
Strand Analysis
Unit: Probability/Statistics
Mathematics
Senior Mathematics 2004
Average/Median/Mode/Range
Median/Mode/Range: Interpret understand common statistical
measures, including the median, mode and range of a set of data.
Chance
Chance: Understand comprehend chance.
Correlation/Deviation/Variance
Standard Deviation: Comprehend standard deviation.
Data
Data: Table/Represent use a table to represent a group of data.
Grade 12 Data: Graph/Represent use a graph to represent a group of data.
Grade 12 Data: Math Relationship/Represent use a mathematical relationship to represent a group of data.
Grade 12 Data: Decisions/Make determine decisions based upon data.
Data
Analysis
Data Analysis: Comprehend illustrate a comprehension of data
analysis.
Grade 12 Data Analysis: Bias/Analyze examine the effect of biased data on statistical
predictions.
Data
Display
Data Display: Graph/Table/Chart use graphs, tables, charts, and/or
diagrams to display collected data.
Grade 12 Data Display data.
Experiments
Experiments: Process understand the process necessary to design and
conduct an experiment or survey.
Grade 12 Experiments: Probability have an understanding of experimental probability.
Grade 12 Experiments: Statistical/Conduct carry
out statistical experiments.
Grade 12 Experiments: Statistical/Design create
statistical experiments.
Grade 12 Experiments: Statistical/Interpret analyze
the results from statistical experiments.
Independent/Dependent/Mutually
Exclusive
Independent/Dependent Events: Discern note the differences between
independent and dependent events.
Predictions
Predictions: Technology/Formulate apply technology to employ simulation
methods, curve fitting, correlation, and graphical models to make predictions
or decisions based on data.
Grade 12 Predictions: Formulate make
predictions based on a given set of data.
Probability
Probability: Comprehend/Concept comprehend the basic concept of probability.
Grade 12 Probability: Range of Values comprehend
that probability ranges in value from 0% to
100%.
Randomness
Randomness: Comprehend comprehend randomness.
Statistics
Statistics: Simple/Use use simple statistical measurements.
Strand Analysis
Unit: Problem Solving
Mathematics
Senior Mathematics 2004
Problems
Problems: Graphs/Represent apply graphs to represent problems.
Grade 12 Problems: Matrices/Represent apply matrices to represent problems.
Grade 12 Problems: Sequences/Represent apply sequences to represent problems.
Represent
Problems
Represent Problems: Choose choose a suitable representation to obtain
problem solutions.
Strategies
Strategies: Use use a variety of strategies to solve
problems.
Grade 12 Strategies: Solving Skills/Comprehend comprehend
various problem-solving skills
Grade 12 Strategies: Daily life/Apply apply various methods, including common mathematical formulas,
to obtain problem solutions drawn from everyday life.
Strand Analysis
Unit: Real Numbers and the Coordinate Plane
Mathematics
Senior Mathematics 2004
Coordinate
Geometry
Coordinate Geometry: Concept/Comprehend comprehend concepts of the rectangular
coordinate system.
Graphing
Graphing: Two Dimensions/Apply use graphing in two dimensions.
Problem
Solving
Problem Solving: Graphs apply graphs to problem solving.
Real
Numbers
Real Numbers: Properties/Comprehend comprehend the properties of the real number
system.
Strand Analysis
Unit: Technology
Mathematics
Senior Mathematics 2004
Problem
Solving
Problem Solving: Technology solve problems using technology.
Technology
as a Tool
Technology as a Tool: Capabilities comprehend the capabilities of
appropriate technology.
Strand
Analysis
Unit: Trigonometry
Mathematics
Senior Mathematics 2004
Triangles
Right Triangles: Understand Concepts develop an understanding of the
basic concepts of right triangle trigonometry.
Trigonometric
Ratios
Trig Ratios: Methods/Use use trigonometric ratio techniques
to obtain solutions to problems.