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Dallas School District
K-12 Curriculum
High School Mathematics - Algebra II
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The Algebraic Concepts Unit includes Competencies/Objectives which focus on algebraic equations and operations. This unit includes studying number systems, operations, and forms. Students explore the symbolic nature of algebraic concepts by identifying and extending patterns in algebra, by following algebraic procedures, and by proving theorems with properties.
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Equations: Choose/Apply
The learner will be able to
choose and apply appropriate methods to solve systems of equations and inequalities using graphing calculators, symbol manipulators, spreadsheets, and other software.
| Strand |
Source |
| Equations |
PA: Academic Standards, January 16, 1999, Grade 11, p.14,2.8.11.H |
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Operations: Apply
The learner will be able to
apply operations such as opposite, reciprocal, absolute value, raising to a power, finding roots, and finding logarithms.
| Strand |
Source |
| Operations |
PA: Academic Standards, January 16, 1999, Grade 11, p.2,2.1.11.A |
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Algebraic Concepts
The learner will be able to
study and describe systems of equations and inequalities and matrices.
| Strand |
Source |
| Algebraic Concepts |
PA: Academic Standards, January 16, 1999, Grade 11, p.13,2.8.11.G |
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Algebraic Concepts: Problem Scenarios
The learner will be able to
create expressions, equations, inequalities, systems of equations and inequalities, and matrices to represent routine and non-routine problem scenarios.
| Strand |
Source |
| Algebraic Concepts |
PA: Academic Standards, January 16, 1999, Grade 11, p.13,2.8.11.D |
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Algebraic Concepts: Relationship
The learner will be able to
show the relationship between algebraic equations and inequalities and the geometry of relations in the coordinate plane.
| Strand |
Source |
| Algebraic Concepts |
PA: Academic Standards, January 16, 1999, Grade 11, p.14,2.8.11.J |
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Patterns: Analyze
The learner will be able to
study a given set of data for the existence of a pattern and illustrate the pattern algebraically and graphically.
| Strand |
Source |
| Equality/Inequality |
PA: Academic Standards, January 16, 1999, Grade 11, p.13,2.8.11.A |
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Systems of Equations: Linear
The learner will be able to
find the number of solutions of a system of linear equations, and/or tell whether the system is consistent (independent/dependent) or inconsistent.
| Strand |
Source |
| Systems of Equations |
PA: Academic Standards, January 16, 1999, Grade 11, p.13,2.8.11.F |
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Computation: Develop/Apply
The learner will be able to
develop and apply computation ideas, operations and procedures with real numbers in problem-solving situations.
| Strand |
Source |
| Computation |
PA: Academic Standards, January 16, 1999, Grade 11, p.4,2.2.11.A |
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Equations: Write
The learner will be able to
use a given set of data points to write an equation for a line of best fit.
| Strand |
Source |
| Equations |
PA: Academic Standards, January 16, 1999, Grade 11, p.14,2.8.11.M |
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Equations: Illustrate Curves
The learner will be able to
represent curves using equations.
| Strand |
Source |
| Equations |
PA: Academic Standards, January 16, 1999, Grade 11, p.13,2.8.11.E |
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Linear Equations: Solve
The learner will be able to
solve linear, quadratic and exponential equations both symbolically and graphically.
| Strand |
Source |
| Linear Equations |
PA: Academic Standards, January 16, 1999, Grade 11, p.14,2.8.11.N |
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Graphing/2 Variables
The learner will be able to
solve linear, quadratic and exponential equations both symbolically and graphically.
| Strand |
Source |
| Linear Equations |
PA: Academic Standards, January 16, 1999, Grade 11, p.14,2.8.11.N |
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Inequalities: System
The learner will be able to
solve a system of inequalities.
| Strand |
Source |
| Inequalities |
PA: System of School Assessment, 1997, Grade 11, p.12,#5 week tested: 30. |
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Quadratic Equations: Graphing
The learner will be able to
solve linear, quadratic and exponential equations both symbolically and graphically.
| Strand |
Source |
| Quadratic Equations/Formula |
PA: Academic Standards, January 16, 1999, Grade 11, p.14,2.8.11.N |
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Quadratic Equations: Solving
The learner will be able to
solve linear, quadratic and exponential equations both symbolically and graphically.
| Strand |
Source |
| Quadratic Equations/Formula |
PA: Academic Standards, January 16, 1999, Grade 11, p.14,2.8.11.N |
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Exponential Equations: Solve
The learner will be able to
solve linear, quadratic and exponential equations both symbolically and graphically.
| Strand |
Source |
| Exponents |
PA: Academic Standards, January 16, 1999, Grade 11, p.14,2.8.11.N |
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Equality/Inequality/Expression
The learner will be able to
interpret equations, expressions, and inequalities using graphs and tables.
| Strand |
Source |
| Equality/Inequality |
PA: System of School Assessment, 1997, Grade 11, p.12,#5 week tested: 30. |
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Systems of Equations
The learner will be able to
calculate solutions to systems of linear equations.
| Strand |
Source |
| Systems of Equations |
PA: System of School Assessment, 1997, Grade 11, p.12,#5 week tested: 30. |
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Computation: Error/Estimations
The learner will be able to
explain the amount of error that is possible when using estimation in computation.
| Strand |
Source |
| Computation |
PA: Academic Standards, January 16, 1999, Grade 11, p.4,2.2.11.D |
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Calculus and Pre-Calculus
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Matrices: Organize Data
The learner will be able to
use matrices to organize and manipulate data including matrix addition,subtraction, multiplication and scalar multiplication.
| Strand |
Source |
| Matrices |
PA: Academic Standards, January 16, 1999, Grade 11, p.14,2.8.11.I |
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Matrices: Addition
The learner will be able to
use matrices to organize and manipulate data including matrix addition, subtraction, multiplication and scalar multiplication.
| Strand |
Source |
| Matrices |
PA: Academic Standards, January 16, 1999, Grade 11, p.14,2.8.11.I |
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Matrices: Subtracting
The learner will be able to
use matrices to organize and manipulate data including matrix addition, subtraction, multiplication and scalar multiplication.
| Strand |
Source |
| Matrices |
PA: Academic Standards, January 16, 1999, Grade 11, p.14,2.8.11.I |
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Matrices: Multiplication
The learner will be able to
use matrices to organize and manipulate data including matrix addition, subtraction, multiplication and scalar multiplication.
| Strand |
Source |
| Matrices |
PA: Academic Standards, January 16, 1999, Grade 11, p.14,2.8.11.I |
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Matrices: Manipulate Data
The learner will be able to
use matrices to organize and manipulate data including matrix addition, subtraction, multiplication and scalar multiplication.
| Strand |
Source |
| Matrices |
PA: Academic Standards, January 16, 1999, Grade 11, p.14,2.8.11.I |
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Matrices: Scalar Multiplication
The learner will be able to
use matrices to organize and manipulate data including matrix addition, subtraction, multiplication and scalar multiplication.
| Strand |
Source |
| Matrices |
PA: Academic Standards, January 16, 1999, Grade 11, p.14,2.8.11.I |
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Matrices: Systems of Equations
The learner will be able to
solve problems involving systems of equations using the properties of matrices.
| Strand |
Source |
| Matrices |
PA: System of School Assessment, 1997, Grade 11, p.12,#5 week tested: 30. |
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Functions: Analyze
The learner will be able to
analyze the general properties and behavior of functions.
| Strand |
Source |
| Functions/Relations |
PA: Academic Standards, January 16, 1999, Grade 11, p.15,2.8.11.S |
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Graphing: Linear Functions
The learner will be able to
choose, account for, and use a suitable method (such as, slope-intercept, x and y intercepts, graphing calculators, and the use of transformations) to create a graph of a linear function with two variables.
| Strand |
Source |
| Graphing Functions |
PA: Academic Standards, January 16, 1999, Grade 11, p.14,2.8.11.K |
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Relations: Analyze
The learner will be able to
study a relation, looking for the existence of either a direct or inverse variation, and illustrate it through algebraic or graphical means.
| Strand |
Source |
| Relations |
PA: Academic Standards, January 16, 1999, Grade 11, p.15,2.8.11.P |
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Relations: Domain/Range
The learner will be able to
determine the domain and range of a relation, given a graph or set of ordered pairs.
| Strand |
Source |
| Relations |
PA: Academic Standards, January 16, 1999, Grade 11, p.15,2.8.11.O |
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Graphing: Functions/Relations
The learner will be able to
graph both functions and relations within the coordinate plane.
| Strand |
Source |
| Graphing Functions |
PA: System of School Assessment, 1997, Grade 11, p.12,#5 week tested: 30. |
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Representations: Problem Situations
The learner will be able to
create and interpret functional models.
| Strand |
Source |
| Representations of Functions |
PA: Academic Standards, January 16, 1999, Grade 11, p.15,2.8.11.R |
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Relations: Domain/Range on Graph
The learner will be able to
determine the domain and range of a relation, given a graph or set of ordered pairs.
| Strand |
Source |
| Relations |
PA: Academic Standards, January 16, 1999, Grade 11, p.15,2.8.11.O |
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Functions: Interpret
The learner will be able to
create and interpret functional models.
| Strand |
Source |
| Functions |
PA: Academic Standards, January 16, 1999, Grade 11, p.15,2.8.11.R |
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Functions: Study/Categorize
The learner will be able to
study and categorize functions according to their attributes.
| Strand |
Source |
| Functions |
PA: Academic Standards, January 16, 1999, Grade 11, p.15,2.8.11.T |
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Functional Relationships: Represent
The learner will be able to
use tables, charts or graphs to represent a functional relationship.
| Strand |
Source |
| Functional Relationships |
PA: Academic Standards, January 16, 1999, Grade 11, p.15,2.8.11.Q |
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Mathematical Concepts: Communication
The learner will be able to
apply symbols, mathematical terminology, standard notation, rules, graphing and other mathematical illustrations to communicate observations, predictions, ideas procedures, generalizations, and results.
| Strand |
Source |
| Communication |
PA: Academic Standards, January 16, 1999, Grade 11, p.8,2.5.11.B |
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Modeling: Create/Use
The learner will be able to
create and use mathematical models (including lines and curves of best fit) to approximate values of related quantities.
| Strand |
Source |
| Mathematical Modeling |
PA: Academic Standards, January 16, 1999, Grade 11, p.4,2.2.11.C |
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Area/Perimeter: Problem Solving
The learner will be able to
develop an understanding of area and perimeter by applying various problem solving techniques.
| Strand |
Source |
| Perimeter/Area/Volume |
PA: System of School Assessment, 1997, Grade 11, p.11,#2 week tested: 30. |
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Accuracy
The learner will be able to
realize the degree of accuracy necessary in calculations is dependent upon how the results are going to be used and the tools used to find the measurements.
| Strand |
Source |
| Accuracy |
PA: Academic Standards, January 16, 1999, Grade 11, p.4,2.2.11.E |
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Circumference: Application
The learner will be able to
solve real-world application problems involving circumference measurements.
| Strand |
Source |
| Circumference |
PA: System of School Assessment, 1997, Grade 11, p.11,#2 week tested: 30. |
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Volume: Application
The learner will be able to
solve real-world application problems involving volume measurements.
| Strand |
Source |
| Volume |
PA: System of School Assessment, 1997, Grade 11, p.11,#2 week tested: 30. |
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Accuracy: Choose/Apply Tools
The learner will be able to
demonstrate measurement techniques using appropriate tools (e.g., ruler, protractor).
| Strand |
Source |
| Accuracy |
PA: Academic Standards, January 16, 1999, Grade 11, p.6,2.3.11.A |
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Number Systems: Operations
The learner will be able to
explore, apply, and/or understand operations as they are applied to various number systems.
| Strand |
Source |
| Number Systems |
PA: System of School Assessment, 1997, Grade 11, p.11,#1 week tested: 30. |
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Number Systems: Applying Properties
The learner will be able to
understand and apply number systems and properties to model and solve problems including dealing with special number properties (i.e., 1, and 0).
| Strand |
Source |
| Number Systems |
PA: System of School Assessment, 1997, Grade 11, p.11,#1 week tested: 30. |
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Number Sense: Demonstrating
The learner will be able to
display a knowledge of number sense.
| Strand |
Source |
| Number Sense |
PA: System of School Assessment, 1997, Grade 11, p.11,#1 week tested: 30. |
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Ratio/Proportion: Applying
The learner will be able to
apply ratio and proportion concepts to solve real-world scenario problems.
| Strand |
Source |
| Ratio/Proportion |
PA: System of School Assessment, 1997, Grade 11, p.11,#1 week tested: 30. |
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Estimation: Problem Solving
The learner will be able to
make estimations and/or round-off to obtain problem solutions where exact results are not necessary.
| Strand |
Source |
| Estimation |
PA: Academic Standards, January 16, 1999, Grade 11, p.4,2.2.11.B |
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Patterns: Other Content Areas
The learner will be able to
give examples of patterns that exist in data from other content areas.
| Strand |
Source |
| Patterns |
PA: Academic Standards, January 16, 1999, Grade 11, p.13,2.8.11.B |
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Pattern: Problem Solving
The learner will be able to
use patterns, sequences and series to solve routine and non-routine problems.
| Strand |
Source |
| Patterns |
PA: Academic Standards, January 16, 1999, Grade 11, p.13,2.8.11.C |
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Sequence/Series: Problem Solving
The learner will be able to
use patterns, sequences and series to solve routine and non-routine problems.
| Strand |
Source |
| Sequences/Series |
PA: Academic Standards, January 16, 1999, Grade 11, p.13,2.8.11.C |
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Data Analysis: Maximum/Minimum
The learner will be able to
interpret maximum and minimum values in problem scenarios.
| Strand |
Source |
| Data Analysis |
PA: Academic Standards, January 16, 1999, Grade 11, p.19,2.11.11.B |
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Data Management: Organize/Study
The learner will be able to
describe methods of data collection (e.g., Census, sample, survey, observational study).
| Strand |
Source |
| Data Management |
PA: Academic Standards, January 16, 1999, Grade 11, p.9,2.6.11.B |
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Data: Best Fit
The learner will be able to
select an appropriate data display for a data set and recognize when a graph does not give an accurate picture of a data set.
| Strand |
Source |
| Data |
PA: Academic Standards, January 16, 1999, Grade 11, p.9,2.6.11.C |
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Sampling: Population
The learner will be able to
use sampling methods to draw inferences about large populations.
| Strand |
Source |
| Sampling |
PA: Academic Standards, January 16, 1999, Grade 11, p.10,2.6.11.H |
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Solutions: Summarize/Evaluate
The learner will be able to
finish a solution procedure with a summary of results and evaluate the degree to which the results are acceptable and validate reasoning.
| Strand |
Source |
| Solution |
PA: Academic Standards, January 16, 1999, Grade 11, p.8,2.5.11.D |
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Solution: Illustrate
The learner will be able to
illustrate mathematical solutions to problems.
| Strand |
Source |
| Solution |
PA: Academic Standards, January 16, 1999, Grade 11, p.7,2.4.11.E |
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Real Numbers and the Coordinate Plane
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Linear Equations: Slope/Point
The learner will be able to
write the equation of a line when given the graph of the line, two points on the line, or the slope of the line and a point on the line.
| Strand |
Source |
| Linear Equations |
PA: Academic Standards, January 16, 1999, Grade 11, p.14,2.8.11.L |
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Linear Equations: Graph/Two Points
The learner will be able to
write the equation of a line when given the graph of the line, two points on the line, or the slope of the line and a point on the line.
| Strand |
Source |
| Linear Equations |
PA: Academic Standards, January 16, 1999, Grade 11, p.14,2.8.11.L |
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Computers: Show Ability
The learner will be able to
show the ability to use computer spreadsheets and scientific and graphing calculators.
| Strand |
Source |
| Computers |
PA: Academic Standards, January 16, 1999, Grade 11, p.4,2.2.11.F |
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