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Chester Township Public Schools |
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Mathematics Curriculum |
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Mathematics - Algebra II |
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Polynomials: Factoring/Number Sense
The learner will be able to
demonstrate the relationship between polynomials, factoring, and resulting binomials.
| 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
|
|
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
|
|
Operations: Relationships
The learner will be able to
determine the relationships between synthetic division, synthetic substitution, polynomial factoring, and the rational root theorem.
| Strand |
Bloom's |
Scope |
Source |
Activities |
| Polynomials |
|
Master |
The EdVISION.com Foundation Core Curriculum, May 1995, Algebra Series |
Classroom
|
|
Formulas: Quadratic/Applying Roots
The learner will be able to
explain how the nature of roots, the discriminant in particular, applies to quadratic equations and their solutions.
| Strand |
Bloom's |
Scope |
Source |
Activities |
| Formulas |
|
Master |
The EdVISION.com Foundation Core Curriculum, May 1995, Algebra Series |
Classroom
|
|
Algebraic Concepts: Reasoning
The learner will be able to
prove the validity of solutions by applying deductive reasoning, inductive reasoning, and number properties to algebra problems.
| Strand |
Bloom's |
Scope |
Source |
Activities |
| Algebraic Concepts |
|
Master |
The EdVISION.com Foundation Core Curriculum, May 1995, Algebra Series |
Classroom
|
|
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
|
|
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
|
|
Problem Solving: Manipulatives
The learner will be able to
demonstrate an understanding of equations by reading or listening to a given scenario, and creating manipulatives to represent the scenario.
| Strand |
Bloom's |
Scope |
Source |
Activities |
| Problem Solving |
|
Master |
The EdVISION.com Foundation Core Curriculum, May 1995, Algebra Series |
Classroom
|
|
Problem Solving: Application
The learner will be able to
solve application problems involving polynomials, rational expressions, radical expressions, exponential equations, quadratic equations, inequalities, and logarithmic equations, by utilizing the binomial theorem, Pascal's triangle, matrices, and geometric models.
| 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
demonstrate an understanding of number sentences by translating a given real-world scenario (delivered orally, through manipulatives, pictures, or in a written prompt) into an equation 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
|
|
Translate Problems: Two Variables
The learner will be able to
translate a given real-world scenario (delivered orally or in a written prompt) into an equation or inequality with two variables, use order of operations to solve the equation, and apply inverse operations to check the answer.
| Strand |
Bloom's |
Scope |
Source |
Activities |
| Relating Number Sentences/Problems |
|
Master |
The EdVISION.com Foundation Core Curriculum, May 1995, Algebra Series |
Classroom
|
|
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
|
|
Missing Variable Word Problems
The learner will be able to
solve three-variable word problems.
| Strand |
Bloom's |
Scope |
Source |
Activities |
| Missing Information |
Application |
Master |
The EdVISION.com Foundation Core Curriculum, May 1995, Algebra Series |
Classroom
|
|
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
|
|
Equivalent Equations
The learner will be able to
find equivalent equations.
| Strand |
Bloom's |
Scope |
Source |
Activities |
| Equations |
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 |
The EdVISION.com Foundation Core Curriculum, May 1995, Algebra Series; Applications of Learning, January 1999, Grade 10 |
Classroom
|
|
Equations: Fraction Format
The learner will be able to
solve an equation that is written in fraction format.
| Strand |
Bloom's |
Scope |
Source |
Activities |
| Solve Equations |
Comprehension |
Master |
The EdVISION.com Foundation Core Curriculum, May 1995, Algebra Series |
Classroom
|
|
Equations: Substituting
The learner will be able to
solve equations with one unknown variable (where there is no formula to apply) involving fractions, decimals, and integers by substituting.
| Strand |
Bloom's |
Scope |
Source |
Activities |
| Solve Equations |
Application |
Master |
The EdVISION.com Foundation Core Curriculum, May 1995, Algebra Series |
Classroom
|
|
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
|
|
Equations: Errors
The learner will be able to
identify errors or incorrect steps in solving an equation.
| Strand |
Bloom's |
Scope |
Source |
Activities |
| Solve Equations |
Knowledge |
Master |
The EdVISION.com Foundation Core Curriculum, May 1995, Algebra Series |
Classroom
|
|
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: Substituting With Formulas
The learner will be able to
solve equations with two unknown variables involving fractions, decimals, and integers by using substitution with a given formula.
| Strand |
Bloom's |
Scope |
Source |
Activities |
| Solve Equations |
Application |
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
|
|
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
|
|
Absolute Value
The learner will be able to
evaluate expressions, apply the definition of absolute value, recognize absolute value expressions on number lines, and solve equations by finding the solution sets.
| Strand |
Bloom's |
Scope |
Source |
Activities |
| Absolute Value |
Analysis |
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
|
|
Expressions: Writing
The learner will be able to
write expressions for a given scenario.
| Strand |
Bloom's |
Scope |
Source |
Activities |
| Expressions |
Comprehension |
Master |
The EdVISION.com Foundation Core Curriculum, May 1995, Algebra Series |
Classroom
|
|
Expressions with Exponents: Analyzing
The learner will be able to
analyze expressions with exponents.
| Strand |
Bloom's |
Scope |
Source |
Activities |
| Expressions |
Analysis |
Master |
The EdVISION.com Foundation Core Curriculum, May 1995, Algebra Series |
Classroom
|
|
Expressions with Exponents: Evaluating
The learner will be able to
evaluate expressions with exponents.
| Strand |
Bloom's |
Scope |
Source |
Activities |
| Expressions |
Evaluation |
Master |
The EdVISION.com Foundation Core Curriculum, May 1995, Algebra Series |
Classroom
|
|
Operations on Expressions: Represent
The learner will be able to
relate the use of geometric models to performing operations on polynomials, rational expressions, and radical expressions.
| Strand |
Bloom's |
Scope |
Source |
Activities |
| Expressions |
Application |
Master |
The EdVISION.com Foundation Core Curriculum, May 1995, Algebra Series |
Classroom
|
|
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
|
|
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
|
|
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
|
|
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
|
|
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
|
|
Quadratic Equations: Real World
The learner will be able to
solve quadratic equations in real world situations.
| Strand |
Bloom's |
Scope |
Source |
Activities |
| Quadratic Equations/Formula |
Application |
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 Numbers: Subtract
The learner will be able to
subtract exponential numbers that have different bases.
| Strand |
Bloom's |
Scope |
Source |
Activities |
| Exponents |
Comprehension |
Master |
The EdVISION.com Foundation Core Curriculum, May 1995, Algebra Series |
Classroom
|
|
Exponential Numbers: Divide Diff. Bases
The learner will be able to
divide exponential numbers with different bases.
| 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
|
|
Identify Question
The learner will be able to
identify the question that is represented in a number sentence.
| Strand |
Bloom's |
Scope |
Source |
Activities |
| Identify Question |
Comprehension |
Master |
The EdVISION.com Foundation Core Curriculum, May 1995, Algebra Series |
Classroom
|
|
Algebraic Concepts: Procedures
The learner will be able to
understand algebraic procedures.
| Strand |
Bloom's |
Scope |
Source |
Activities |
| Algebraic Concepts |
Comprehension |
Master |
The EdVISION.com Foundation Core Curriculum, May 1995, Algebra Series.; Terra Nova, Complete Battery, 1997, Level 19, Objective Statement #16 week tested: 21 |
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 |
| |
