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Chester Township Public Schools |
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Mathematics Curriculum |
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Mathematics - Math Analysis |
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Properties: Rational/Real Numbers
The learner will be able to
show their comprehension of, and/or apply properties as they apply to rational and/or real numbers.
| Strand |
Bloom's |
Scope |
Source |
Activities |
| Properties |
|
Master |
NJ: Assessments (ESPA, GEPA, HSPA), February 1998, Grade 11, p.42,I.A.1 week tested: 34. |
Classroom
|
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Properties: Operations
The learner will be able to
conceptually understand the properties of operations, including zero (additive, multiplicative), one (multiplicative), grouping (associative), and order (commutative).
| Strand |
Bloom's |
Scope |
Source |
Activities |
| Properties |
|
Master |
NJ: Assessments (ESPA, GEPA, HSPA), February 1998, Grade 11, p.42,I.A.6 week tested: 34. |
Classroom
|
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Expressions: Powers/Roots/Factorials
The learner will be able to
simplify expressions that contain powers, roots, and factorials.
| Strand |
Bloom's |
Scope |
Source |
Activities |
| Simplify Expressions |
|
Master |
NJ: Assessments (ESPA, GEPA, HSPA), February 1998, Grade 11, p.42,I.A.10 week tested: 34. |
Classroom
|
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Radicals: Simplifying
The learner will be able to
simplify negative and positive radicals, translate sentences into radicals, identify radical equations that do not represent real numbers, and find the nth root of radical equations.
| Strand |
Bloom's |
Scope |
Source |
Activities |
| Radicals |
|
Master |
The EdVISION.com Foundation Core Curriculum, May 1995, Calculus Series |
Classroom
|
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Algebraic Concepts: Apply
The learner will be able to
use appropriate mathematical abilities to apply absolute values, exponents, and estimations for roots of numbers in real-life problem situations.
| Strand |
Bloom's |
Scope |
Source |
Activities |
| Algebraic Concepts |
|
Master |
NJ: Assessments (ESPA, GEPA, HSPA), February 1998, Grade 11, p.42,I.A.13 week tested: 34. |
Classroom
|
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Algebraic Concepts: Real-World
The learner will be able to
accurately describe, study and model real-world situations using algebraic concepts and processes.
| Strand |
Bloom's |
Scope |
Source |
Activities |
| Algebraic Concepts |
|
Master |
NJ: Assessments (ESPA, GEPA, HSPA), February 1998, Grade 11, p.41,IV.C week tested: 34. |
Classroom
|
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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 |
Foundations of Learning, January 1999, Grade 11 |
Classroom
|
|
Equations: Story Problems
The learner will be able to
determine equations for and solve problems in the context of real world scenarios.
| Strand |
Bloom's |
Scope |
Source |
Activities |
| Solve Equations |
Application |
Master |
Applications of Learning, January 1999, Grade 11 |
Classroom
|
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Absolute Value: Understand
The learner will be able to
understand absolute value.
| Strand |
Bloom's |
Scope |
Source |
Activities |
| Absolute Value |
Comprehension |
Master |
NJ: Assessments (ESPA, GEPA, HSPA), February 1998, Grade 11, p.42,I.A.3 week tested: 34. |
Classroom
|
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Exponents: Roots
The learner will be able to
understand exponents and roots.
| Strand |
Bloom's |
Scope |
Source |
Activities |
| Exponents |
Comprehension |
Master |
NJ: Assessments (ESPA, GEPA, HSPA), February 1998, Grade 11, p.42,I.A.2 week tested: 34. |
Classroom
|
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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, Calculus Series |
Classroom
|
|
Exponents: Integral and Square Roots
The learner will be able to
apply laws of integral exponents and/or square roots to simplify and/or evaluate algebraic expressions.
| Strand |
Bloom's |
Scope |
Source |
Activities |
| Exponents |
Synthesis |
Master |
Higher-Order Learning, January 1999, Grade 11 |
Classroom
|
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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, Calculus Series |
Classroom
|
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Remainder/Factor Theorems
The learner will be able to
apply the remainder and factor theorems.
| Strand |
Bloom's |
Scope |
Source |
Activities |
| Factoring |
Application |
Master |
The EdVISION.com Foundation Core Curriculum, May 1995, Calculus 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, Calculus 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, Calculus Series |
Classroom
|
|
Binomial Theorem
The learner will be able to
identify and apply the binomial theorem.
| Strand |
Bloom's |
Scope |
Source |
Activities |
| Binomial Expansion |
Comprehension |
Master |
The EdVISION.com Foundation Core Curriculum, May 1995, Calculus Series |
Classroom
|
|
|
Calculus and Pre-Calculus
|
|
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Problem Solving: Central Limit Theorem
The learner will be able to
apply the Central Limit Theorem to solve real-world scenario problems.
| Strand |
Bloom's |
Scope |
Source |
Activities |
| Problem Solving |
|
Master |
The EdVISION.com Foundation Core Curriculum, May 1995, Calculus Series |
Classroom
|
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Derivatives: Deriving Formulas
The learner will be able to
use the definition of the derivative as the limit of a sum to derive formulas for the derivatives.
| Strand |
Bloom's |
Scope |
Source |
Activities |
| Derivatives/Antiderivatives |
Synthesis |
Master |
Higher-Order Learning, January 1999, Grade 11 |
Classroom
|
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Derivatives: Derived Function
The learner will be able to
find a derived function given the definition.
| Strand |
Bloom's |
Scope |
Source |
Activities |
| Derivatives/Antiderivatives |
Comprehension |
Master |
Foundations of Learning, January 1999, Grade 11 |
Classroom
|
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Complex Numbers: Polar Form
The learner will be able to
write complex numbers in polar form.
| Strand |
Bloom's |
Scope |
Source |
Activities |
| Complex Numbers |
Knowledge |
Master |
The EdVISION.com Foundation Core Curriculum, May 1995, Calculus Series |
Classroom
|
|
Complex Numbers: Trig Form
The learner will be able to
apply the trigonometric form of complex numbers.
| Strand |
Bloom's |
Scope |
Source |
Activities |
| Complex Numbers |
Application |
Master |
Applications of Learning, January 1999, Grade 11 |
Classroom
|
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Complex Numbers: Absolute Value
The learner will be able to
determine absolute value of complex numbers and relate that to real numbers.
| Strand |
Bloom's |
Scope |
Source |
Activities |
| Complex Numbers |
Analysis |
Master |
Applications of Learning, January 1999, Grade 11 |
Classroom
|
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Complex Numbers: DeMoivre's Theorem
The learner will be able to
determine powers and roots of complex numbers by using DeMoivre's theorem.
| Strand |
Bloom's |
Scope |
Source |
Activities |
| Complex Numbers |
Application |
Master |
The EdVISION.com Foundation Core Curriculum, May 1995, Calculus Series; Applications of Learning, January 1999, Grade 11 |
Classroom
|
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Complex Numbers: DeMoivre's/Prove
The learner will be able to
prove DeMoivre's theorem.
| Strand |
Bloom's |
Scope |
Source |
Activities |
| Complex Numbers |
Synthesis |
Master |
Higher-Order Learning, January 1999, Grade 11 |
Classroom
|
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Matrices: Understand
The learner will be able to
understand the concept of matrices.
| Strand |
Bloom's |
Scope |
Source |
Activities |
| Matrices |
Comprehension |
Master |
NJ: Assessments (ESPA, GEPA, HSPA), February 1998, Grade 11, p.50,II.B.6 week tested: 34. |
Classroom
|
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Matrices: Scalar Multiplication
The learner will be able to
perform scalar multiplication with matrices.
| Strand |
Bloom's |
Scope |
Source |
Activities |
| Matrices |
Comprehension |
Master |
NJ: Assessments (ESPA, GEPA, HSPA), February 1998, Grade 11, p.50,II.B.12 week tested: 34. |
Classroom
|
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Matrices: Evaluate Results
The learner will be able to
make evaluations of the results of matrix operations.
| Strand |
Bloom's |
Scope |
Source |
Activities |
| Matrices |
Evaluation |
Master |
Higher-Order Learning, January 1999, Grade 11 |
Classroom
|
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Matrices: Analyzing
The learner will be able to
evaluate the use of matrices with systems of equations to determine advantages and disadvantages of this solution method.
| Strand |
Bloom's |
Scope |
Source |
Activities |
| Matrices |
Evaluation |
Master |
Higher-Order Learning, January 1999, Grade 11 |
Classroom
|
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Matrices: Interpret Linear Systems
The learner will be able to
interpret linear systems of equations as matrices consisting of their coefficients.
| Strand |
Bloom's |
Scope |
Source |
Activities |
| Matrices |
Analysis |
Master |
Applications of Learning, January 1999, Grade 11 |
Classroom
|
|
Vectors: Position of Objects
The learner will be able to
apply vectors to show the position of an object.
| Strand |
Bloom's |
Scope |
Source |
Activities |
| Vectors |
Application |
Master |
NJ: Assessments (ESPA, GEPA, HSPA), February 1998, Grade 11, p.50,II.B.13 week tested: 34. |
Classroom
|
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Vectors: Understand
The learner will be able to
understand the concept of vectors.
| Strand |
Bloom's |
Scope |
Source |
Activities |
| Vectors |
Comprehension |
Master |
NJ: Assessments (ESPA, GEPA, HSPA), February 1998, Grade 11, p.50,II.B.8 week tested: 34. |
Classroom
|
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Parametric Equations: Define/Derive
The learner will be able to
determine a definition for and derive parametric equations.
| Strand |
Bloom's |
Scope |
Source |
Activities |
| Parametric Equations |
Synthesis |
Master |
Higher-Order Learning, January 1999, Grade 11 |
Classroom
|
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Parametric Equations: Graph
The learner will be able to
sketch the graph of a set of parametric equations.
| Strand |
Bloom's |
Scope |
Source |
Activities |
| Parametric Equations |
Application |
Master |
Applications of Learning, January 1999, Grade 11 |
Classroom
|
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Parametric Equations: Problem Solving
The learner will be able to
solve problems using parametric equations, using technology when necessary.
| Strand |
Bloom's |
Scope |
Source |
Activities |
| Parametric Equations |
Application |
Master |
Applications of Learning, January 1999, Grade 11 |
Classroom
|
|
Scatterplots: Construct
The learner will be able to
create a scatterplot of data.
| Strand |
Bloom's |
Scope |
Source |
Activities |
| Scatterplots |
Comprehension |
Master |
NJ: Assessments (ESPA, GEPA, HSPA), February 1998, Grade 11, p.58.III.B. week tested: 34. |
Classroom
|
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Scatterplot: Draw/Line of Best Fit
The learner will be able to
sketch a line of best fit.
| Strand |
Bloom's |
Scope |
Source |
Activities |
| Scatterplots |
Knowledge |
Master |
NJ: Assessments (ESPA, GEPA, HSPA), February 1998, Grade 11, p.58.III.B. week tested: 34. |
Classroom
|
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Scatterplot: Understand
The learner will be able to
understand the concept of a scatterplot.
| Strand |
Bloom's |
Scope |
Source |
Activities |
| Scatterplots |
Comprehension |
Master |
NJ: Assessments (ESPA, GEPA, HSPA), February 1998, Grade 11, p.58.III.B.1 week tested: 34. |
Classroom
|
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Line of Best Fit: Understand
The learner will be able to
understand the concept of line of best fit.
| Strand |
Bloom's |
Scope |
Source |
Activities |
| Scatterplots |
Comprehension |
Master |
NJ: Assessments (ESPA, GEPA, HSPA), February 1998, Grade 11, p.58.III.B.2 week tested: 34. |
Classroom
|
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Bar Graphs: Proportional Relationships
The learner will be able to
use proportional relationships to extrapolate values on a bar graph.
| Strand |
Bloom's |
Scope |
Source |
Activities |
| Bar Graphs |
Application |
Master |
Applications of Learning, January 1999, Grade 11 |
Classroom
|
|
Line Graphs: Compare/Analyze
The learner will be able to
identify values from a line graph, determine that addition or subtraction is needed to find an answer, compare values, and use critical thinking skills to analyze the graph.
| Strand |
Bloom's |
Scope |
Source |
Activities |
| Line Graphs |
Analysis |
Master |
The EdVISION.com Foundation Core Curriculum, May 1995, Calculus Series |
Classroom
|
|
Graphs: Evaluate Appropriateness
The learner will be able to
evaluate the appropriateness of a given graphical form for a given set of data.
| Strand |
Bloom's |
Scope |
Source |
Activities |
| Graphing |
Evaluation |
Master |
Higher-Order Learning, January 1999, Grade 11 |
Classroom
|
|
Data Collection
The learner will be able to
collect data.
| Strand |
Bloom's |
Scope |
Source |
Activities |
| Data Collection and Classification |
Knowledge |
Master |
NJ: Assessments (ESPA, GEPA, HSPA), February 1998, Grade 11, p.41,III.C week tested: 34. |
Classroom
|
|
Data Collection: Organization
The learner will be able to
organize data in many different ways.
| Strand |
Bloom's |
Scope |
Source |
Activities |
| Data Collection and Classification |
Comprehension |
Master |
NJ: Assessments (ESPA, GEPA, HSPA), February 1998, Grade 11, p.41,III.C week tested: 34. |
Classroom
|
|
Graphs: Identify Question
The learner will be able to
analyze a given graph and determine what question can be answered using this information.
| Strand |
Bloom's |
Scope |
Source |
Activities |
| Analyzing/Evaluating Graphical Forms |
Analysis |
Master |
Applications of Learning, January 1999, Grade 11 |
Classroom
|
|
Graphs: Evaluate Data Analysis
The learner will be able to
determine the validity of an argument based on a given set of data.
| Strand |
Bloom's |
Scope |
Source |
Activities |
| Analyzing/Evaluating Graphical Forms |
Evaluation |
Master |
Higher-Order Learning, January 1999, Grade 11 |
Classroom
|
|
Discrete Mathematics: Apply Concepts
The learner will be able to
apply the concepts and methods of discrete mathematics to illustrate and investigate many different practical scenarios.
| Strand |
Bloom's |
Scope |
Source |
Activities |
| Discrete Mathematics |
|
Master |
NJ: Assessments (ESPA, GEPA, HSPA), February 1998, Grade 11, p.41,III.D week tested: 34. |
Classroom
|
|
Discrete Math: Interative/Recursive
The learner will be able to
apply iterative and recursive patterns and processes to illustrate many different practical scenarios and solve problems.
| Strand |
Bloom's |
Scope |
Source |
Activities |
| Discrete Mathematics |
|
Master |
NJ: Assessments (ESPA, GEPA, HSPA), February 1998, Grade 11, p.41,III.E week tested: 34. |
Classroom
|
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Fractions: Understand
The learner will be able to
understand fractions.
| Strand |
Bloom's |
Scope |
Source |
Activities |
| Fractions |
Comprehension |
Master |
NJ: Assessments (ESPA, GEPA, HSPA), February 1998, Grade 11, p.45,I.B.1 week tested: 34. |
Classroom
|
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Trigonometric/Circular Functions
The learner will be able to
analyze trigonometric and circular functions by graphing these functions, differentiating between their domains, solving real-world problems involving Laws of Sines and Laws of Cosines, and writing complex numbers in polar form.
| Strand |
Bloom's |
Scope |
Source |
Activities |
| Trigonometric/Circular Functions |
|
Master |
The EdVISION.com Foundation Core Curriculum, May 1995, Calculus Series |
Classroom
|
|
Connecting: Exponential/Logarithmic
The learner will be able to
explore the relationship between exponential and logarithmic functions by evaluating graphs of exponential and logarithmic functions, comparing the domain and ranges of exponential and logarithmic functions, solving equations involving exponential and logarithmic functions, using properties of logarithmic functions to simplify expressions, and describing real-world scenarios using exponential and logarithmic functions.
| Strand |
Bloom's |
Scope |
Source |
Activities |
| Connecting |
|
Master |
The EdVISION.com Foundation Core Curriculum, May 1995, Calculus Series |
Classroom
|
|
Problem Solving: Rationals
The learner will be able to
analyze and apply rational functions using graphical forms, group study projects, and technology (computers, calculators).
| Strand |
Bloom's |
Scope |
Source |
Activities |
| Problem Solving |
|
Master |
The EdVISION.com Foundation Core Curriculum, May 1995, Calculus Series |
Classroom
|
|
Problem Solving: Polynomial Functions
The learner will be able to
analyze and apply polynomial functions using graphical forms, group study projects, and technology.
| Strand |
Bloom's |
Scope |
Source |
Activities |
| Problem Solving |
|
Master |
The EdVISION.com Foundation Core Curriculum, May 1995, Calculus Series |
Classroom
|
|
Trigonometric/Circular Functions: Domain
The learner will be able to
identify differences between the domains of circular and trigonometric functions.
| Strand |
Bloom's |
Scope |
Source |
Activities |
| Trigonometric/Circular Functions |
Analysis |
Master |
The EdVISION.com Foundation Core Curriculum, May 1995, Calculus Series |
Classroom
|
|
Trigonometric/Circular Functions: Graph
The learner will be able to
graph and analyze the 6 circular and trigonometric functions.
| Strand |
Bloom's |
Scope |
Source |
Activities |
| Trigonometric/Circular Functions |
Analysis |
Master |
The EdVISION.com Foundation Core Curriculum, May 1995, Calculus Series |
Classroom
|
|
Trigonometric/Circular Functions: Relate
The learner will be able to
relate between the circular and trigonometric functions.
| Strand |
Bloom's |
Scope |
Source |
Activities |
| Trigonometric/Circular Functions |
Analysis |
Master |
The EdVISION.com Foundation Core Curriculum, May 1995, Calculus Series |
Classroom
|
|
Trigonometric/Circular Functions:Inverse
The learner will be able to
analyze and graph inverse of both circular and trigonometric functions.
| Strand |
Bloom's |
Scope |
Source |
Activities |
| Trigonometric/Circular Functions |
Analysis |
Master |
The EdVISION.com Foundation Core Curriculum, May 1995, Calculus Series |
Classroom
|
|
Trigonometric/Circular Functions: Change
The learner will be able to
perform changes to amplitude, period, phase shift, and vertical shift of circular and trigonometric functions.
| Strand |
Bloom's |
Scope |
Source |
Activities |
| Trigonometric/Circular Functions |
Comprehension |
Master |
The EdVISION.com Foundation Core Curriculum, May 1995, Calculus Series |
Classroom
|
|
Circular Functions: Rotation
The learner will be able to
list the values of the 6 circular functions for a specific rotation.
| Strand |
Bloom's |
Scope |
Source |
Activities |
| Circular Functions |
Knowledge |
Master |
The EdVISION.com Foundation Core Curriculum, May 1995, Calculus Series |
Classroom
|
|
Circular Functions: Model Real World
The learner will be able to
see circular functions as models for periodic, real world functions.
| Strand |
Bloom's |
Scope |
Source |
Activities |
| Circular Functions |
Comprehension |
Master |
The EdVISION.com Foundation Core Curriculum, May 1995, Calculus Series |
Classroom
|
|
Exponential Functions: Graph
The learner will be able to
graph exponential functions.
| Strand |
Bloom's |
Scope |
Source |
Activities |
| Exponential Functions |
Application |
| |
