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Chester Township Public Schools |
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Mathematics Curriculum |
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Mathematics - Algebra I |
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Polynomials/Factoring: Relationships
The learner will be able to
demonstrate an understanding of the inverse relationship between multiplying binomials and factoring polynomials.
| Strand |
Bloom's |
Scope |
Source |
Activities |
| Polynomials |
|
Master |
The EdVISION.com Foundation Core Curriculum, May 1995, Algebra Series |
Classroom
|
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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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Connecting: Algebra/Geometry
The learner will be able to
apply geometric concepts to solve problems in algebra by solving systems of equations through graphing, analyzing range, domain, functions, and intercepts, by finding the equation of the line, given a graphical representation, and by exploring number sentence relationships.
| Strand |
Bloom's |
Scope |
Source |
Activities |
| Connecting |
|
Master |
The EdVISION.com Foundation Core Curriculum, May 1995, Algebra Series |
Classroom
|
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Number Sentences: Relating to Real-World
The learner will be able to
formulate expressions and equations for given scenarios, and justify each variable and coefficient by explaining how each corresponds to an element of the given scenarios, emphasize justifying the set-up, and not on simplifying or solving the expressions or equations, and change the equations or expressions, describing why the expressions or equations need to be changed if scenario elements are altered.
| Strand |
Bloom's |
Scope |
Source |
Activities |
| Number Sentence |
|
Master |
The EdVISION.com Foundation Core Curriculum, May 1995, Algebra Series |
Classroom
|
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Manipulatives: Proving
The learner will be able to
use physical models as visual aids to explain an equation (variables, coefficients, operations, and graphical representations) its symbolic value (by providing scenarios which could be represented by the equation), how the equation can be solved, and how inverse operations can prove the validity of the solution.
| Strand |
Bloom's |
Scope |
Source |
Activities |
| Solution Methods |
|
Master |
The EdVISION.com Foundation Core Curriculum, May 1995, Algebra Series |
Classroom
|
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Missing Elements
The learner will be able to
determine how to solve for an unknown variable when given the problem in written form.
| Strand |
Bloom's |
Scope |
Source |
Activities |
| Missing Information |
Analysis |
Master |
Applications of Learning, January 1999, Grade 9 |
Classroom
|
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Order of Operations: Decimals
The learner will be able to
determine the correct order of operations for an equation containing decimal numbers.
| Strand |
Bloom's |
Scope |
Source |
Activities |
| Order of Operations |
Comprehension |
Master |
Foundations of Learning, January 1999, Grade 9 |
Classroom
|
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Properties
The learner will be able to
identify and apply the following properties of addition and multiplication: multiplication by 0, distributive, associative, reciprocal, adding like terms, property of opposites, commutative, and order of operations.
| Strand |
Bloom's |
Scope |
Source |
Activities |
| Properties |
Application |
Master |
The EdVISION.com Foundation Core Curriculum, May 1995, Algebra Series |
Classroom
|
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Properties: Identify Uses
The learner will be able to
identify the use of properties in solving a problem.
| Strand |
Bloom's |
Scope |
Source |
Activities |
| Properties |
Knowledge |
Master |
The EdVISION.com Foundation Core Curriculum, May 1995, Algebra Series |
Classroom
|
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Properties: Represent
The learner will be able to
use manipulatives, discussion, and pictures to find and show properties of real numbers.
| Strand |
Bloom's |
Scope |
Source |
Activities |
| Properties |
Application |
Master |
The EdVISION.com Foundation Core Curriculum, May 1995, Algebra Series |
Classroom
|
|
Equations: Addition/Subtraction
The learner will be able to
use addition or subtraction in one variable equations to determine the value of the variable.
| Strand |
Bloom's |
Scope |
Source |
Activities |
| Equations |
Application |
Master |
The EdVISION.com Foundation Core Curriculum, May 1995, Algebra Series |
Classroom
|
|
Equations: Multiplication/Division
The learner will be able to
use multiplication or division in one variable equations to determine the value of the variable.
| Strand |
Bloom's |
Scope |
Source |
Activities |
| Equations |
Application |
Master |
The EdVISION.com Foundation Core Curriculum, May 1995, Algebra Series |
Classroom
|
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Equations: Two-Step
The learner will be able to
solve a one variable equation that requires more than one operation.
| Strand |
Bloom's |
Scope |
Source |
Activities |
| Solve Equations |
Application |
Master |
The EdVISION.com Foundation Core Curriculum, May 1995, Algebra Series |
Classroom
|
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Equations: Writing
The learner will be able to
develop and write equations based on word problems.
| Strand |
Bloom's |
Scope |
Source |
Activities |
| Equations |
Synthesis |
Master |
The EdVISION.com Foundation Core Curriculum, May 1995, Algebra Series |
Classroom
|
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Number Relation Problems
The learner will be able to
translate sentences into algebraic equations and solve the equations.
| Strand |
Bloom's |
Scope |
Source |
Activities |
| Solve Equations |
Application |
Master |
The EdVISION.com Foundation Core Curriculum, May 1995, Algebra Series |
Classroom
|
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Equations: Two Variables
The learner will be able to
solve for the value of a variable in two variable equations.
| Strand |
Bloom's |
Scope |
Source |
Activities |
| Solve 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
|
|
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
|
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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
|
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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
|
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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
|
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Expressions: Evaluating/Simplifying
The learner will be able to
simplify expressions, apply the rules regarding order of operations, and evaluate expressions with one or two unknown variables.
| Strand |
Bloom's |
Scope |
Source |
Activities |
| Simplify Expressions |
Application |
Master |
The EdVISION.com Foundation Core Curriculum, May 1995, Algebra Series |
Classroom
|
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Polynomials/Equations: Represent
The learner will be able to
use manipulatives and geometric area models to represent equations and polynomials.
| Strand |
Bloom's |
Scope |
Source |
Activities |
| Polynomials |
Comprehension |
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
|
|
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
|
|
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 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
|
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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
|
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Quadratic Formula: Comparison
The learner will be able to
compare coordinate and number line graphs 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
|
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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
|
|
Exponents: Multiplying
The learner will be able to
multiply two whole numbers with different exponents.
| Strand |
Bloom's |
Scope |
Source |
Activities |
| Exponents |
Comprehension |
Master |
Foundations of Learning, January 1999, Grade 9 |
Classroom
|
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Exponents: Dividing
The learner will be able to
divide 2 whole numbers with different exponents.
| Strand |
Bloom's |
Scope |
Source |
Activities |
| Exponents |
Comprehension |
Master |
Foundations of Learning, January 1999, Grade 9 |
Classroom
|
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Inverse Operations
The learner will be able to
""work backwards" to solve story problems.
| Strand |
Bloom's |
Scope |
Source |
Activities |
| Solution Methods |
Analysis |
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
|
|
Variable/Expression/Equation
The learner will be able to
comprehend the concepts of variable, expression, and equation.
| Strand |
Bloom's |
Scope |
Source |
Activities |
| Variable |
Comprehension |
Master |
The EdVISION.com Foundation Core Curriculum, May 1995, Algebra Series |
Classroom
|
|
Equality/Inequality/Expression: Problems
The learner will be able to
solve story problems involving equations, inequalities, and expressions.
| Strand |
Bloom's |
Scope |
Source |
Activities |
| Equality/Inequality |
Application |
Master |
The EdVISION.com Foundation Core Curriculum, May 1995, Algebra Series |
Classroom
|
|
Solving Equations/Inequalities
The learner will be able to
solve a system of 2 first degree equations or an inequality with 2 variables in a real world situation.
| Strand |
Bloom's |
Scope |
Source |
Activities |
| Equality/Inequality |
Application |
Master |
The EdVISION.com Foundation Core Curriculum, May 1995, Algebra Series |
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
|
|
Factoring
The learner will be able to
factor trinomials, find the difference of two squares, find missing terms which complete perfect square trinomials, find the length and width of a rectangle when given the area (a trinomial), identify deductive arguments based on principles of factoring, describe the inverse relationship between multiplying polynomials and factoring, and use combined types of factoring.
| Strand |
Bloom's |
Scope |
Source |
Activities |
| Factoring |
Analysis |
Master |
The EdVISION.com Foundation Core Curriculum, May 1995, Algebra Series |
Classroom
|
|
Factorials
The learner will be able to
determine values for factorials, identify the notation and equation used in calculating a factorial, and solve factorial equations with variables.
| Strand |
Bloom's |
Scope |
Source |
Activities |
| Factorials |
Application |
Master |
The EdVISION.com Foundation Core Curriculum, May 1995, Algebra Series |
Classroom
|
|
Bar Graphs: Analyze
The learner will be able to
analyze data on a bar graph to make judgments about the graph.
| Strand |
Bloom's |
Scope |
Source |
Activities |
| Bar Graphs |
Evaluation |
Master |
Higher-Order Learning, January 1999, Grade 9 |
Classroom
|
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Table: Compute
The learner will be able to
identify values from the graph, compare values from the graph, determine the value of multiple entries, and perform the necessary calculations to find the missing parts of a table.
| Strand |
Bloom's |
Scope |
Source |
Activities |
| Tables/Charts |
Analysis |
Master |
The EdVISION.com Foundation Core Curriculum, May 1995, Algebra Series |
Classroom
|
|
Chart/Graph: Scale/Interpret
The learner will be able to
understand scales given on graphs, tables, and charts.
| Strand |
Bloom's |
Scope |
Source |
Activities |
| Tables/Charts |
Comprehension |
Master |
Foundations of Learning, January 1999, Grade 9 |
Classroom
|
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Table: Classification
The learner will be able to
determine the method by which information is classified within a table to determine where new information should be placed.
| Strand |
Bloom's |
Scope |
Source |
Activities |
| Tables/Charts |
Application |
Master |
Applications of Learning, January 1999, Grade 9 |
Classroom
|
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Table: Rearrange
The learner will be able to
rearrange and read information from a table using a new criteria.
| Strand |
Bloom's |
Scope |
Source |
Activities |
| Tables/Charts |
Comprehension |
Master |
Foundations of Learning, January 1999, Grade 9 |
Classroom
|
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Graphs: Construct
The learner will be able to
construct graphs recording information in tables, bar graphs, line graphs, and pictographs.
| Strand |
Bloom's |
Scope |
Source |
Activities |
| Graphing |
Synthesis |
Master |
Higher-Order Learning, January 1999, Grade 9 |
Classroom
|
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Graphs: Construct
The learner will be able to
construct charts and graphs.
| Strand |
Bloom's |
Scope |
Source |
Activities |
| Graphing |
Synthesis |
Master |
The EdVISION.com Foundation Core Curriculum, May 1995, Algebra Series |
Classroom
|
|
Diagram: Problem Solving
The learner will be able to
solve real-world problems using diagrams.
| Strand |
Bloom's |
Scope |
Source |
Activities |
| Diagrams |
Application |
Master |
Applications of Learning, January 1999, Grade 9 |
Classroom
|
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Evaluate Graphical Forms: Select Display
The learner will be able to
choose the most suitable form and/or method of data display.
| Strand |
Bloom's |
Scope |
Source |
Activities |
| Analyzing/Evaluating Graphical Forms |
Analysis |
Master |
Applications of Learning, January 1999, Grade 9.; Terra Nova, Complete Battery, 1997, Level 18, Item 17, 41, 46 week tested: 21 |
Classroom
|
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Graphs: Relationships
The learner will be able to
discuss relationships between tables, graphs, and equations.
| Strand |
Bloom's |
Scope |
Source |
Activities |
| Analyzing/Evaluating Graphical Forms |
Analysis |
Master |
The EdVISION.com Foundation Core Curriculum, May 1995, Algebra Series |
Classroom
|
|
Function Notation
The learner will be able to
review and evaluate a sample student's work, give directions regarding the use of functional notation, understand the formula f(x) = y, find the range of a function, and calculate the values of unknown variables by substitution.
| Strand |
Bloom's |
Scope |
Source |
Activities |
| Functions/Relations |
|
Master |
The EdVISION.com Foundation Core Curriculum, May 1995, Algebra Series |
Classroom
|
|
Functions/Relations: Types
The learner will be able to
identify correct methods for discerning functions and relations, find the value of a variable which will make a relation not a function, describe how functions and relations appear on graphs, identify linear functions and their traits, translate sentences into coordinate points for relations and functions, and recognize functions described in sentences.
| Strand |
Bloom's |
Scope |
Source |
Activities |
| Functions/Relations |
|
Master |
The EdVISION.com Foundation Core Curriculum, May 1995, Algebra Series |
Classroom
|
|
Communicating: Functions
The learner will be able to
use graphs, charts, and tables to present an analysis of a functional relationship, and articulate how each element of the relationship alters the resulting function.
| Strand |
Bloom's |
Scope |
Source |
Activities |
| Communicating |
|
Master |
The EdVISION.com Foundation Core Curriculum, May 1995, Algebra Series |
Classroom
|
|
Connecting: Functions
The learner will be able to
explore the interrelationships of mathematical functions using tables, graphs, and equations, focusing on the interrelationships, and not on exploring functions as isolated phenomena.
| Strand |
Bloom's |
Scope |
Source |
Activities |
| Connecting |
|
Master |
The EdVISION.com Foundation Core Curriculum, May 1995, Algebra Series |
Classroom
|
|
Represent/Translate Functions
The learner will be able to
apply functional notation to mapping, tables, graphs, and inverse functions, and translate representations of functions from these forms.
| Strand |
Bloom's |
Scope |
Source |
Activities |
| Representations of Functions |
|
Master |
The EdVISION.com Foundation Core Curriculum, May 1995, Algebra Series |
Classroom
|
|
Representations: Functions/Relations
The learner will be able to
use tables, mappings, and coordinate pairs to represent functions and relations.
| Strand |
Bloom's |
Scope |
Source |
Activities |
| Representations of Functions |
Application |
Master |
The EdVISION.com Foundation Core Curriculum, May 1995, Algebra Series |
Classroom
|
|
Congruency/Similarity/Proportionality
The learner will be able to
demonstrate an understanding of congruency, similarity, and proportionality through deductive reasoning.
| Strand |
Bloom's |
Scope |
Source |
Activities |
| Congruence/Similarity/Symmetry |
|
Master |
The EdVISION.com Foundation Core Curriculum, May 1995, Algebra Series |
Classroom
|
|
Connecting: Geometry/Algebra
The learner will be able to
apply geometric concepts to solve problems in algebra by solving systems of equations through graphing, analyzing range, domain, functions, and intercepts, by finding an equation of a line given a graphical representation, and by exploring number sentence relationships to coordinate graphs (numerical coefficients, slopes, and the y and x intercepts).
| Strand |
Bloom's |
Scope |
Source |
Activities |
| Connecting |
|
Master |
The EdVISION.com Foundation Core Curriculum, May 1995, Algebra Series |
Classroom
|
|
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