| OUTCOME/
ESSENTIAL
QUESTION |
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How
will solutions to equations be found?
How can we picture an algebraic relationship?
How do we go about solving number related problems?
How can various stipulations be included in
mathematical models? |
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Order
of Operation
Algebraic Process
Axioms of Solution
Cartesian and Number Line Graphing
Systems of Linear Equations
Linear Programming |
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Equation
solving first degree (2-1-K, 2-1-A, 1-1-K, 1-1-A,
1-2-K, 1-2-A)
Graph number sets (2-2-K, 2-2-A, 3-1-K, 3-1-A)
Graph ordered pair sets (3-2-K, 3-2-A)
UPIE or 5-step processing (3-4-K, 3-4-A)
Solving by simultaneous graph (1-1-K, 1-1-A, 1-2-K,
1-2-A)
Solving by substitution (1-1-K, 1-1-A, 1-3-K, 1-3-A)
Solving by linear combination (1-4-K, 1-4-A) |
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| Specific
Skill and Process Testing |
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How
will solutions to equations be found?
In what way can several conditions be represented at
the same time?
How will solutions to equations be found? |
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Linear
Inequalities
Matrix Forms
Identity and Inverse Forms
Matrix Algebra |
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Optimizing
system solutions (2-2-K, 2-2-A, 1-3-K, 1-3-A, 2-1-K,
2-1-A)
Matrix expressions(2-2-K, 2-2-A, 2-4-K, 2-4-A)
Matrix operations (1-4-K, 1-4-A, 4-2-K, 4-2-A)
Matrix equation solution (1-4-K, 1-4-A) |
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| Specific
Skill and Process Testing |
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Can
we perform calcuation with a calculator (graphing)?
How do we go about solving number related problems?
How will solutions of equations be found? |
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Augmented
Matrix
Triangulation
Cramer's Solution Method
Square Root Method
Factoring Method
Complete the Square |
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Input
matrix into graph calculation (3-1-K, 3-1-A)
Do operational examples-UPIE or 5-step (1-3-A,
2-4-K, 2-4-A)
Simplify radicals, computations with roots (1-1-K,
1-1-A, 1-2-K, 1-2-A) |
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| Specific
Skill and Process Testing |
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Can
we go beyond the real number system?
What kind of sets can be used as efficient
predictors?
How will solutions to equations be found?
How do we go about solving number related problems? |
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Quadratic
Formula
Complex Roots
Function/Relation Defined Calculations
Function Algebra |
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Addition-subtraction
multiplication complexes (1-1-K, 1-1-A, 2-1-K,
2-1-A)
Function I.D.(3-3-K, 3-3-A, 2-3-K, 2-3-A, 2-2-K,
2-2-A)
Application (1-3-A, 3-1-K, 3-1-A)
Arithmetic/Algebra of Functions (1-2-K, 1-2-A,
2-1-K, 2-1-A, 2-2-K, 2-2-A, 2-3-K, 2-3-A, 3-3-K,
3-3-A)
UPIE or 5-step (2-4-K, 2-4-A, 3-4-K, 3-4-A, 4-1-K,
4-1-A) |
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| Specific
Skill and Process Testing |
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How
can we express known or missing repeated factors in
an abbreviated way?
How can we picture an algebraic relationship? |
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nth
Power Expressions
Fractional and Negative Exponents
Radical Equation Solutions
Graphing Root and Power Functions
Exponential and Logarithm Functions |
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Power
and root (1-2-K, 1-2-A, 3-2-K, 3-2-A)
Calculation/simplify (1-4-K, 1-4-A)
Graph methods (3-1-K, 3-1-A, 3-4-K, 3-4-A, 2-1-K,
2-1-A, 3-3-K, 3-3-A)
Log and exponent (1-3-K, 1-3-A) |
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| Specific
Skill and Process Testing |
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How
are solutions found using algebra?
What are the identifying characteristics of a
polynomial? |
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Logarithm
and Exponential Solution
Growth and Decay Models
Polynomial Degrees
Term Count
Reducibility and Factors
Root Number |
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Algebra
(3-1-K, 3-1-A, 3-3-K, 3-3-A)
ID degree-lenn count, factors (1-3-K)
Solve polynomial equations (2-2-K, 2-2-A) |
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| Specific
Skill and Process Testing |
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How
can polynomials be used as a mathematical number
set?
How do we go about solving number related problems?
How do we picture an algebraic relationship? |
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Rational
Functions
Inverse Variation
Arthimetic of Polynomials
Algebra of Polynomials |
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Add/subtract
(1-2-K, 1-2-A)
Mult/divide (2-3-K, 2-3-A)
Solve with polynomials 2-4-K, 2-4-A)
UPIE or 5-step (4-1-K, 4-1-A) |
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| Specific
Skill and Process Testing |
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| How
can we mathematically predict what could happen
next? |
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Conic
Sections
Sequence and Series
Probability |
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| Graph
and identify conics (2-1-K, 2-1-A, 3-1-K, 3-1-A,
3-2-K, 3-2-A, 3-3-K, 3-3-A, 3-4-K, 3-4-A) |
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| Specific
Skill and Process Testing |
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