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Chester Township Public Schools |
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Mathematics Curriculum |
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Mathematics - Algebra II Honors |
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Polynomials: Factoring/Complex Numbers
The learner will be able to
factor polynomials over complex numbers, and apply these concepts to geometry and real-world scenarios.
| Strand |
Bloom's |
Scope |
Source |
Activities |
| Polynomials |
|
Master |
The EdVISION.com Foundation Core Curriculum, May 1995, Algebra Series |
Classroom
|
|
Radicals: Multiplication/Division
The learner will be able to
translate sentences into radical terms, find the product or quotient, rationalize denominators, and either reduce the answer to simplest radical form or find the approximate square root.
| Strand |
Bloom's |
Scope |
Source |
Activities |
| Radicals |
|
Master |
The EdVISION.com Foundation Core Curriculum, May 1995, Algebra Series |
Classroom
|
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Radicals: Equations
The learner will be able to
translate sentences into numerical radical equations and solve for an unknown number, explain solving radical equations, find the value of an unknown variable, solve radical equations for solution sets, describe the characteristics of radical equations, and step into "teacher" roles to evaluate a sample student's work.
| Strand |
Bloom's |
Scope |
Source |
Activities |
| Radicals |
|
Master |
The EdVISION.com Foundation Core Curriculum, May 1995, Algebra Series |
Classroom
|
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Systems of Equations: Addition
The learner will be able to
identify, apply, and analyze steps toward solving a system of equations by addition.
| Strand |
Bloom's |
Scope |
Source |
Activities |
| Systems of Equations |
|
Master |
The EdVISION.com Foundation Core Curriculum, May 1995, Algebra Series |
Classroom
|
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Problem Solving: Application
The learner will be able to
solve real-world application problems involving polynomials, rational algebraic expressions, radical expressions, real number exponential expressions, and logarithmic expressions, while appropriately utilizing matrices, the binomial theorem, Pascal's triangle, probability, synthetic division, polynomial factoring, and rational root theorems, as means to solving such problems.
| Strand |
Bloom's |
Scope |
Source |
Activities |
| Problem Solving |
|
Master |
The EdVISION.com Foundation Core Curriculum, May 1995, Algebra Series |
Classroom
|
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Problem Solving Strategies: Graphing
The learner will be able to
approach application problems by using graphical representations of the data to deduce possible solutions (including graphing a function and its inverse on a Cartesian plane, analyzing effects of parameter changes on functions, recognizing the equations and corresponding graphs of the conic sections, graphing exponential and logarithmic functions, and determining the maxima and minima of graphs).
| Strand |
Bloom's |
Scope |
Source |
Activities |
| Problem Solving |
|
Master |
The EdVISION.com Foundation Core Curriculum, May 1995, Algebra Series |
Classroom
|
|
Translate Problems: Complex Coefficients
The learner will be able to
translate a given real-world scenario (delivered orally, through manipulatives, pictures, or in a written prompt) into an equation or inequality involving complex coefficients.
| Strand |
Bloom's |
Scope |
Source |
Activities |
| Relating Number Sentences/Problems |
|
Master |
The EdVISION.com Foundation Core Curriculum, May 1995, Algebra Series |
Classroom
|
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Missing Elements Order of Operations
The learner will be able to
solve for the missing element in a given equation, using the correct order of operations when necessary.
| Strand |
Bloom's |
Scope |
Source |
Activities |
| Missing Information |
Application |
Master |
Applications of Learning, January 1999, Grade 10 |
Classroom
|
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Order of Operations: Integers
The learner will be able to
determine the correct order of operations for an equation containing integers.
| Strand |
Bloom's |
Scope |
Source |
Activities |
| Order of Operations |
Comprehension |
Master |
Foundations of Learning, January 1999, Grade 10 |
Classroom
|
|
Order of Operations: Exponents
The learner will be able to
determine the correct order of operations for an exponential equation.
| Strand |
Bloom's |
Scope |
Source |
Activities |
| Order of Operations |
Comprehension |
Master |
The EdVISION.com Foundation Core Curriculum, May 1995, Algebra Series |
Classroom
|
|
Equations: Simplifying
The learner will be able to
solve equations, with one unknown variable, involving fractions, decimals, and integers, by simplifying terms.
| Strand |
Bloom's |
Scope |
Source |
Activities |
| Solve Equations |
Application |
Master |
Applications of Learning, January 1999, Grade 10 |
Classroom
|
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Equations: Solving
The learner will be able to
solve given equations.
| Strand |
Bloom's |
Scope |
Source |
Activities |
| Solve Equations |
Comprehension |
Master |
Foundations of Learning, January 1999, Grade 10 |
Classroom
|
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Diagrams with Equations
The learner will be able to
use a diagram to demonstrate the meaning of a given equation.
| Strand |
Bloom's |
Scope |
Source |
Activities |
| Equations |
Application |
Master |
The EdVISION.com Foundation Core Curriculum, May 1995, Algebra Series |
Classroom
|
|
Equations: Writing
The learner will be able to
write equations for real-world scenario problems.
| Strand |
Bloom's |
Scope |
Source |
Activities |
| Equations |
Synthesis |
Master |
The EdVISION.com Foundation Core Curriculum, May 1995, Algebra Series |
Classroom
|
|
Equations: Exponential/Log/First Degree
The learner will be able to
solve problems with exponents, first degree equations, and logarithmic equations in one variable.
| Strand |
Bloom's |
Scope |
Source |
Activities |
| Nonlinear Equations |
Application |
Master |
The EdVISION.com Foundation Core Curriculum, May 1995, Algebra Series |
Classroom
|
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Inequalities
The learner will be able to
solve for the value of a variable given in an inequality and as shown on a graph by manipulating the inequality correctly.
| Strand |
Bloom's |
Scope |
Source |
Activities |
| Inequalities |
Application |
Master |
The EdVISION.com Foundation Core Curriculum, May 1995, Algebra Series |
Classroom
|
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Inequalities: Writing
The learner will be able to
write inequalities for real-world scenario problems.
| Strand |
Bloom's |
Scope |
Source |
Activities |
| Inequalities |
Synthesis |
Master |
The EdVISION.com Foundation Core Curriculum, May 1995, Algebra Series |
Classroom
|
|
Inequality
The learner will be able to
identify smallest exponent of two different bases required to validate an inequality.
| Strand |
Bloom's |
Scope |
Source |
Activities |
| Inequalities |
Knowledge |
Master |
The EdVISION.com Foundation Core Curriculum, May 1995, Algebra Series |
Classroom
|
|
Absolute Value Problems
The learner will be able to
solve absolute value problems.
| Strand |
Bloom's |
Scope |
Source |
Activities |
| Absolute Value |
Comprehension |
Master |
The EdVISION.com Foundation Core Curriculum, May 1995, Algebra Series |
Classroom
|
|
Expressions: Addition/Subtraction
The learner will be able to
use addition or subtraction in one variable expressions and equations and determine the number sentence for a written expression.
| Strand |
Bloom's |
Scope |
Source |
Activities |
| Expressions |
Application |
Master |
The EdVISION.com Foundation Core Curriculum, May 1995, Algebra Series |
Classroom
|
|
Expressions: Multiplication/Division
The learner will be able to
use multiplication or division in one variable expressions and equations and determine the number sentence for a written expression.
| Strand |
Bloom's |
Scope |
Source |
Activities |
| Expressions |
Application |
Master |
The EdVISION.com Foundation Core Curriculum, May 1995, Algebra Series |
Classroom
|
|
Expressions: Real World
The learner will be able to
evaluate expressions (and formulas) when the expressions are presented within the context of a real-world problem.
| Strand |
Bloom's |
Scope |
Source |
Activities |
| Expressions |
Application |
Master |
The EdVISION.com Foundation Core Curriculum, May 1995, Algebra Series |
Classroom
|
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Polynomials: Addition/Subtraction
The learner will be able to
identify and justify each step and rule of adding and subtracting polynomials.
| Strand |
Bloom's |
Scope |
Source |
Activities |
| Polynomials |
Analysis |
Master |
The EdVISION.com Foundation Core Curriculum, May 1995, Algebra Series |
Classroom
|
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Polynomials: Multiplication
The learner will be able to
translate sentences into numerical equations including monomials and binomials.
| Strand |
Bloom's |
Scope |
Source |
Activities |
| Polynomials |
Comprehension |
Master |
The EdVISION.com Foundation Core Curriculum, May 1995, Algebra Series |
Classroom
|
|
Polynomials: Division
The learner will be able to
divide both monomials and polynomials.
| Strand |
Bloom's |
Scope |
Source |
Activities |
| Polynomials |
Knowledge |
Master |
The EdVISION.com Foundation Core Curriculum, May 1995, Algebra Series |
Classroom
|
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Polynomials: Synthetic Substitution
The learner will be able to
solve problems with polynomial equations using synthetic substitution.
| Strand |
Bloom's |
Scope |
Source |
Activities |
| Polynomials |
Application |
Master |
The EdVISION.com Foundation Core Curriculum, May 1995, Algebra Series |
Classroom
|
|
Polynomial Equations: Relationships
The learner will be able to
solve problems with polynomial equations by applying relationships between synthetic division, polynomial factoring, and rational root theorems.
| Strand |
Bloom's |
Scope |
Source |
Activities |
| Polynomials |
Application |
Master |
The EdVISION.com Foundation Core Curriculum, May 1995, Algebra Series |
Classroom
|
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Polynomials: Factoring/Uses
The learner will be able to
factor polynomials with complex numbers and state their use within a real life situation.
| Strand |
Bloom's |
Scope |
Source |
Activities |
| Polynomials |
Application |
Master |
The EdVISION.com Foundation Core Curriculum, May 1995, Algebra Series |
Classroom
|
|
Radicals: Addition/Subtraction
The learner will be able to
combine radical terms, find the simplest radical form, and approximate square roots.
| Strand |
Bloom's |
Scope |
Source |
Activities |
| Radicals |
Application |
Master |
The EdVISION.com Foundation Core Curriculum, May 1995, Algebra Series |
Classroom
|
|
Radicals: Variables
The learner will be able to
solve a radical equation by substituting for a variable.
| Strand |
Bloom's |
Scope |
Source |
Activities |
| Radicals |
Application |
Master |
The EdVISION.com Foundation Core Curriculum, May 1995, Algebra Series |
Classroom
|
|
Radical Expressions: Represent/Solve
The learner will be able to
use manipulatives, pictures, and technology (i.e., calculators) to solve operations with radical expressions.
| Strand |
Bloom's |
Scope |
Source |
Activities |
| Radicals |
Comprehension |
Master |
The EdVISION.com Foundation Core Curriculum, May 1995, Algebra Series |
Classroom
|
|
Quadratic Equation: Standard Form
The learner will be able to
state a quadratic equation in standard form.
| Strand |
Bloom's |
Scope |
Source |
Activities |
| Quadratic Equations/Formula |
Comprehension |
Master |
The EdVISION.com Foundation Core Curriculum, May 1995, Algebra Series |
Classroom
|
|
Quadratic Formula
The learner will be able to
describe the discriminant, identify the quadratic formula and solve an equation using the quadratic formula.
| Strand |
Bloom's |
Scope |
Source |
Activities |
| Quadratic Equations/Formula |
Application |
Master |
The EdVISION.com Foundation Core Curriculum, May 1995, Algebra Series |
Classroom
|
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Quadratic Equations: Graphing
The learner will be able to
solve quadratic equations with 2 variables by graphing the system on a coordinate plane.
| Strand |
Bloom's |
Scope |
Source |
Activities |
| Quadratic Equations/Formula |
Application |
Master |
The EdVISION.com Foundation Core Curriculum, May 1995, Algebra Series |
Classroom
|
|
Quadratic/Linear Equations: Justifying
The learner will be able to
solve linear and quadratic equations with 2 variables by graphing and justifying the solution.
| Strand |
Bloom's |
Scope |
Source |
Activities |
| Quadratic Equations/Formula |
Application |
Master |
The EdVISION.com Foundation Core Curriculum, May 1995, Algebra Series |
Classroom
|
|
Quadratic Formula: Relating Graphs
The learner will be able to
relate graphs of second degree equations to the quadratic formula.
| Strand |
Bloom's |
Scope |
Source |
Activities |
| Quadratic Equations/Formula |
Analysis |
Master |
The EdVISION.com Foundation Core Curriculum, May 1995, Algebra Series |
Classroom
|
|
Quadratic Formula: Number Line/Cartesian
The learner will be able to
relate both number line and Cartesian graphs of second degree equations to the quadratic formula.
| Strand |
Bloom's |
Scope |
Source |
Activities |
| Quadratic Equations/Formula |
Analysis |
Master |
The EdVISION.com Foundation Core Curriculum, May 1995, Algebra Series |
Classroom
|
|
Exponential Numbers: Multiply
The learner will be able to
multiply exponential numbers that have the same base and integer exponents.
| Strand |
Bloom's |
Scope |
Source |
Activities |
| Exponents |
Knowledge |
Master |
The EdVISION.com Foundation Core Curriculum, May 1995, Algebra Series |
Classroom
|
|
Exponential Numbers: Divide
The learner will be able to
divide exponential numbers that have the same base and whole number exponents.
| Strand |
Bloom's |
Scope |
Source |
Activities |
| Exponents |
Knowledge |
Master |
The EdVISION.com Foundation Core Curriculum, May 1995, Algebra Series |
Classroom
|
|
Exponential Equations
The learner will be able to
solve equations involving exponents.
| Strand |
Bloom's |
Scope |
Source |
Activities |
| Exponents |
Application |
Master |
The EdVISION.com Foundation Core Curriculum, May 1995, Algebra Series; Applications of Learning, January 1999, Grade 10 |
Classroom
|
|
Exponents: Multiple Step Problem
The learner will be able to
determine the solution to a problem requiring multiple operations involving exponential numbers with the same base.
| Strand |
Bloom's |
Scope |
Source |
Activities |
| Exponents |
Application |
Master |
The EdVISION.com Foundation Core Curriculum, May 1995, Algebra Series |
Classroom
|
|
Multiple Step Problem: Exponents
The learner will be able to
solve a multiple step problem involving both exponents and multiple operations.
| Strand |
Bloom's |
Scope |
Source |
Activities |
| Exponents |
Comprehension |
Master |
Foundations of Learning, January 1999, Grade 10 |
Classroom
|
|
Logarithms/Exponents: Simplifying
The learner will be able to
use relationships between logarithms and exponents to simplify expressions.
| Strand |
Bloom's |
Scope |
Source |
Activities |
| Exponents |
Application |
Master |
The EdVISION.com Foundation Core Curriculum, May 1995, Algebra Series |
Classroom
|
|
Inverse Operations: Variable
The learner will be able to
apply inverse operations by identifying equivalent expressions with one unknown variable.
| Strand |
Bloom's |
Scope |
Source |
Activities |
| Inverse Operations |
Application |
Master |
Applications of Learning, January 1999, Grade 10 |
Classroom
|
|
Fundamental Theorem of Algebra
The learner will be able to
identify and use the Fundamental Theorem of Algebra.
| Strand |
Bloom's |
Scope |
Source |
Activities |
| Theorems |
Comprehension |
Master |
The EdVISION.com Foundation Core Curriculum, May 1995, Algebra Series |
Classroom
|
|
Proving Theorems
The learner will be able to
use mathematical structures such as field properties to prove elementary theorems.
| Strand |
Bloom's |
Scope |
Source |
Activities |
| Theorems |
Application |
Master |
The EdVISION.com Foundation Core Curriculum, May 1995, Algebra Series |
Classroom
|
|
Equalities/Inequalities: Represent
The learner will be able to
use manipulatives to represent equalities and inequalities.
| Strand |
Bloom's |
Scope |
Source |
Activities |
| Equality/Inequality |
Comprehension |
Master |
Foundations of Learning, January 1999, Grade 10 |
Classroom
|
|
Equality/Inequality: Solution Methods
The learner will be able to
use technology (i.e., calculators), matrices, and graphing to solve systems of 2 first degree equations or inequalities with 2 variables in real world situations.
| Strand |
Bloom's |
Scope |
Source |
Activities |
| Equality/Inequality |
Application |
Master |
The EdVISION.com Foundation Core Curriculum, May 1995, Algebra Series |
Classroom
|
|
Logarithms: Simplifying
The learner will be able to
use logarithmic properties to simplify expressions.
| Strand |
Bloom's |
Scope |
Source |
Activities |
| Logarithms |
Application |
Master |
The EdVISION.com Foundation Core Curriculum, May 1995, Algebra Series |
Classroom
|
|
Logarithmic Equations
The learner will be able to
solve equations involving logarithms.
| Strand |
Bloom's |
Scope |
Source |
Activities |
| Logarithms |
Application |
Master |
The EdVISION.com Foundation Core Curriculum, May 1995, Algebra Series |
Classroom
|
|
Systems of Equations: Determinants
The learner will be able to
solve systems of equations by applying determinants.
| Strand |
Bloom's |
Scope |
Source |
Activities |
| Systems of Equations |
Application |
Master |
The EdVISION.com Foundation Core Curriculum, May 1995, Algebra Series |
Classroom
|
|
Binomial Expansion: Finding Terms
The learner will be able to
find an nth term within a binomial expansion.
| Strand |
Bloom's |
Scope |
Source |
Activities |
| Binomial Expansion |
Knowledge |
Master |
The EdVISION.com Foundation Core Curriculum, May 1995, Algebra Series |
Classroom
|
|
|
Calculus and Pre-Calculus
|
|
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Conic Sections: Parabola
The learner will be able to
use a given equation of a parabola to find the vector, focus, and direction and then graph the parabola.
| Strand |
Bloom's |
Scope |
Source |
Activities |
| Conic Sections |
|
Master |
The EdVISION.com Foundation Core Curriculum, May 1995, Algebra Series |
Classroom
|
|
Complex Coefficients: Representing
The learner will be able to
create manipulatives to represent a given equation or inequality with complex coefficients by identifying relationships between coefficients, variables, and the real-world counterparts.
| Strand |
Bloom's |
Scope |
Source |
Activities |
| Complex Numbers |
|
Master |
The EdVISION.com Foundation Core Curriculum, May 1995, Algebra Series |
Classroom
|
|
Complex Numbers: Forms/Relationships
The learner will be able to
demonstrate the ability to focus on the relationship between number forms by relating the absolute value of complex numbers in algebraic, geometric, and vector representations, and by explaining the relationships between exponential expressions and logarithmic expressions, and real number exponents and radical symbolism.
| Strand |
Bloom's |
Scope |
Source |
Activities |
| Complex Numbers |
|
Master |
The EdVISION.com Foundation Core Curriculum, May 1995, Algebra Series |
Classroom
|
|
Complex Numbers: Representing
The learner will be able to
represent situations that involve complex numbers with expressions, equations, and inequalities by setting up number sentences and performing basic operations using diagrams, algebraic procedures, and vector representations.
| Strand |
Bloom's |
Scope |
Source |
Activities |
| Complex Numbers |
|
Master |
The EdVISION.com Foundation Core Curriculum, May 1995, Algebra Series |
Classroom
|
|
Complex Numbers: Exploring
The learner will be able to
explore the properties and structural characteristics of the complex number system and its sub-systems, including identifying the sub-systems which are isomorphic.
| Strand |
Bloom's |
Scope |
Source |
Activities |
| Complex Numbers |
|
Master |
The EdVISION.com Foundation Core Curriculum, May 1995, Algebra Series |
Classroom
|
|
Limiting Processes
The learner will be able to
explore the following limiting processes by analyzing them graphically: series, sequences, targets, and areas under curves.
| Strand |
Bloom's |
Scope |
Source |
Activities |
| Limits |
|
Master |
The EdVISION.com Foundation Core Curriculum, May 1995, Algebra Series |
Classroom
|
|
Conic Sections
The learner will be able to
identify the graph of a conic section (circle, parabola, ellipse, hyperbola) and use it to solve a problem.
| Strand |
Bloom's |
Scope |
Source |
Activities |
| Conic Sections |
Application |
Master |
The EdVISION.com Foundation Core Curriculum, May 1995, Algebra Series |
Classroom
|
|
Complex Numbers: Compare with Real
The learner will be able to
determine properties of real and complex numbers and examine their similarities and differences.
| Strand |
Bloom's |
Scope |
Source |
Activities |
| Complex Numbers |
Comprehension |
Master |
The EdVISION.com Foundation Core Curriculum, May 1995, Algebra Series |
Classroom
|
|
Complex Numbers: Basic Operations
The learner will be able to
use pictures, technology (i.e., calculators), and principles of algebra to perform basic operations on complex numbers.
| Strand |
Bloom's |
Scope |
Source |
Activities |
| Complex Numbers |
Application |
Master |
The EdVISION.com Foundation Core Curriculum, May 1995, Algebra Series |
Classroom
|
|
Complex Numbers: Operations/Vectors
The learner will be able to
use vectors to perform basic operations on complex numbers.
| Strand |
Bloom's |
Scope |
Source |
Activities |
| Complex Numbers |
Application |
Master |
The EdVISION.com Foundation Core Curriculum, May 1995, Algebra Series |
Classroom
|
|
Complex Numbers: Applying Absolute Value
The learner will be able to
use vector, geometric, and algebraic representations to apply absolute value to complex numbers.
| Strand |
Bloom's |
Scope |
Source |
Activities |
| Complex Numbers |
Applicatio | | |
