Students will use algebraic skills and concepts, including functions, to describe real-world phenomena symbolically and graphically, and to model quantitative change.
Students in Kindergarten through Grade 3 are exploring and developing concepts of Algebra and functions.
By the end of Grade 4, students should know and be able to:
* Apply the commutative property.
By the end of Grade 5, students should know and be able to:
* Solve simple one step equations with one variable.
By the end of Grade 6, students should know and be able to:
* Evaluate simple expressions using formulas.
By the end of Grade 7, students should know and be able to:
* Apply appropriate order of operations.
* Apply algebraic solutions on a coordinate plane.
By the end of Grade 8, students should know and be able to:
* Apply algebraic and numerical properties and solve multi-step equations.
By the end of Honors Algebra I, students should know and be able to:
* Represent situations involving variables as it applies to linear functions.
* Use tables and graphs as tools while working with linear functions.
* Solve linear equations.
* Model real-world phenomena as it applies to linear functions.
During Grades 9-12, students choose from one of the following four recommended course sequences:
Sequence #1:
Honors Algebra II 554
Honors Geometry 526
Honors Pre-Calculus 529
Honors Intro to Calculus 531
Honors Calculus 533
Sequence #2:
Algebra I 524
Geometry 525
Algebra II 527
Algebra III 530
Sequence #3:
Integrated Algebra I 520
Integrated Algebra II 521
Integrated Geometry 523
Standard Program:
Applied Math I 500
Applied Math II 502
Applied Math III 506
Sequence #1
By the end of Honors Algebra II, students should know and be able to:
* Represent situations involving variables as it applies to quadratic or linear functions as well as direct variation problems, rational expressions, systems of equations, absolute value, powers, and radicals.
* Use tables and graphs as tools while working with quadratic or linear functions as well as direct variation problems, rational expressions, systems of equations, absolute value, powers, and radicals.
* Solve quadratic or linear functions as well as direct variation problems, rational expressions, systems of equations, absolute value, powers, and radicals.
* Model real-world phenomena as it applies to quadratic or linear functions as well as direct variation problems, rational expressions, systems of equations, absolute value, powers, and radicals.
By the end of Honors Geometry, students should know and be able to:
* Use algebra to model and solve various problems involving 2-D and 3-D figures.
By the end of Honors Pre-Calculus, students should know and be able to:
* Represent situations involving variables as it applies to third degree or higher functions, trigonometric functions, exponential functions, and logarithmic functions.
* Solve equations dealing with third degree or higher functions, trigonometric functions, exponential functions, and logarithmic functions.
* Model real-world phenomena as it applies to third degree or higher functions, trigonometric functions, exponential functions, and logarithmic functions.
By the end of Honors Intro to Calculus, students should know and be able to:
* Uses tables and graphs as tools while finding limits, derivatives, and investigating continuity.
* Examine functions analytically to find maximums, minimums, concavity, points of inflection, and increasing and decreasing intervals.
* Use derivatives and integrals to model real-world phenomena including rate of change (including displacement, velocity, and acceleration), related rates, exponential growth, and motion of a particle along a straight line.
By the end of Honors Calculus, students should know and be able to:
* Use tables and graphs as tools while finding limits, derivatives, and investigating continuity.
* Examine functions analytically to find maximums, minimums, concavity, points of inflection, and increasing and decreasing intervals, and numerical values of intervals.
* Use derivatives and integrals to model real-world phenomena including rate of change (including displacement, velocity, and acceleration), related rates, exponential growth, area between two curves, volume of a solid with known cross-sections, and motion of a particle along a straight line.
Sequence #2
By the end of Algebra I, students should know and be able to:
* Represent situations involving variables as it applies to linear functions.
* Solve linear equations.
* Model real-world phenomena as it applies to linear functions.
By the end of Geometry, students should know and be able to:
* Use Algebra to model and solve problems involving 2-D and 3-D figures.
By the end of Algebra II, students should know and be able to:
* Represent situations involving variables as it applies to quadratic functions, trigonometric functions, exponential functions, and logarithmic functions.
* Use tables and graphs as tools while working with quadratic functions, trigonometric functions, exponential functions, and logarithmic functions.
* Solve quadratic functions, trigonometric functions, exponential functions, and logarithmic functions.
* Model real-world phenomena as it applies to quadratic functions, trigonometric functions, exponential functions, and logarithmic functions.
By the end of Algebra III, students should know and be able to:
* Represent situations involving variables as it applies to linear systems and matrices.
* Use graphs as tools while working with linear systems and matrices.
* Solve linear systems and matrices.
* Model real-world phenomena as it applies to linear systems and matrices.
Sequence #3
By the end of Integrated Algebra I, students should know and be able to:
* Represent situations involving variables as it applies to linear functions.
* Solve linear equations.
* Model real-world phenomena as it applies to linear functions.
By the end of Integrated Algebra II, students should know and be able to:
* Represent situations involving variables as it applies to functions and linear systems.
* Use tables and graphs as tools while working with functions and linear systems.
* Solve functions and linear systems.
* Model real-world phenomena as it applies to functions and linear systems.
By the end of Integrated Geometry, students should know and be able to:
* Use Algebra to model and solve problems involving polygons and 3-D figures.
Standard Program
By the end of Applied Math I, students should know and be able to:
* Solve one variable equations with whole number coefficients.
By the end of Applied Math II, students should know and be able to:
* Solve simple linear equations using a variety of techniques.
By the end of Applied Math III, students should know and be able to:
* Solve two-step, single variable, first degree equations.