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School District of Washington |
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MATHEMATICS CURRICULUM 2000 |
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Mathematics - AP Calculus |
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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, inverse, identity, adding like terms, property of opposites, commutative, and order of operations.
| Strand |
Bloom's |
Scope |
Source |
Activities |
| Properties |
Application |
Reinforce |
School District of Washington. SG2. PS1-10. MA1-6. American College Test (ACT). |
Classroom
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Radical Expressions: Operations
The learner will be able to
perform operations with radical expressions.
| Strand |
Bloom's |
Scope |
Source |
Activities |
| Radicals |
Comprehension |
Reinforce |
School District of Washington. SG3. PS1-8. MA1-6. |
Classroom
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Equations: Linear/Problem Solving
The learner will be able to
use linear equations to both represent and solve real world problems.
| Strand |
Bloom's |
Scope |
Source |
Activities |
| Equations |
Application |
Reinforce |
School District of Washington. SG3. PS1-8. MA1-6. |
Classroom
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Systems of Equations: Linear/Non-Linear
The learner will be able to
solve both linear and non-linear systems of equations.
| Strand |
Bloom's |
Scope |
Source |
Activities |
| Systems of Equations |
Comprehension |
Reinforce |
School District of Washington. SG3. PS1-8. MA1-6. American College Test (ACT). |
Classroom
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Expressions: Rewrite/Fraction Exponents
The learner will be able to
rewrite radical expressions using fractional exponents.
| Strand |
Bloom's |
Scope |
Source |
Activities |
| Expressions |
Comprehension |
Reinforce |
School District of Washington. SG2. PS1-6. MA1-6. |
Classroom
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Exponents: Write
The learner will be able to
write exponential expressions.
| Strand |
Bloom's |
Scope |
Source |
Activities |
| Exponents |
Knowledge |
Reinforce |
School District of Washington. SG2. PS1-6. MA1-6. |
Classroom
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Exponents: Negative Exponents
The learner will be able to
analyze and describe negative exponents.
| Strand |
Bloom's |
Scope |
Source |
Activities |
| Exponents |
Analysis |
Reinforce |
School District of Washington. SG2. PS1-6. MA1-6. American College Test (ACT). |
Classroom
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Exponents: Understand Representation
The learner will be able to
demonstrate an understanding of the value of a number represented in exponential form.
| Strand |
Bloom's |
Scope |
Source |
Activities |
| Exponents |
Comprehension |
Reinforce |
School District of Washington. SG2. PS1-6. MA1-6. |
Classroom
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Equations: Manipulate
The learner will be able to
understand the manipulation of equations.
| Strand |
Bloom's |
Scope |
Source |
Activities |
| Equations |
Comprehension |
Reinforce |
School District of Washington. SG1. PS1-10. MA1-6. |
Classroom
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Calculus and Pre-Calculus
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Curves: Maxima/Minima/Critical Points
The learner will be able to
recognize the following points on a curve: critical points, absolute maxima and minima, and relative maxima and minima.
| Strand |
Bloom's |
Scope |
Source |
Activities |
| Curve Sketching |
Comprehension |
Master |
School District of Washington. SG1. PS4-8. MA1-5. |
Classroom
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Antiderivatives: Distance/Velocity
The learner will be able to
use antiderivatives in determining distance and velocity when acceleration and initial conditions are given.
| Strand |
Bloom's |
Scope |
Source |
Activities |
| Derivatives/Antiderivatives |
Application |
Master |
School District of Washington. SG1. PS4-8. SG3. PS1-5. MA1-5. |
Classroom
|
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Definite Integral: Area Between Curves
The learner will be able to
use concepts of the definite integral to calculate the area between two given curves.
| Strand |
Bloom's |
Scope |
Source |
Activities |
| Definite Integral |
Comprehension |
Master |
School District of Washington. SG1. PS4-8. SG3. PS1-5. MA1-5. |
Classroom
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Applying: Fundamental Theorems
The learner will be able to
apply the Fundamental Theorems of calculus to solve problems.
| Strand |
Bloom's |
Scope |
Source |
Activities |
| Applying Calculus Concepts |
|
Master |
School District of Washington. SG1. PS4-8. SG3. PS1-7. MA1-5. |
Classroom
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Derivatives: Problem Solving
The learner will be able to
apply derivatives in obtaining solutions to many different problems (from a wide variety of areas) that involve the rate of change of a function.
| Strand |
Bloom's |
Scope |
Source |
Activities |
| Derivatives/Antiderivatives |
Application |
Master |
School District of Washington. SG1. PS4-10. SG3. PS1-8. MA1-5. |
Classroom
|
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Derivatives: Implicit Differentiation
The learner will be able to
apply the concept of implicit differentiation in many different problem types originating in a variety of curriculum areas.
| Strand |
Bloom's |
Scope |
Source |
Activities |
| Derivatives/Antiderivatives |
Application |
Master |
School District of Washington. SG1. PS4-10. SG3. PS1-5. MA1-5. |
Classroom
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Apply Calculus Concepts: Area
The learner will be able to
make approximations of areas using rectangles, and/or other suitable means, including technology.
| Strand |
Bloom's |
Scope |
Source |
Activities |
| Applying Calculus Concepts |
|
Master |
School District of Washington. SG1. PS4-8. SG3. PS1-5. MA1-5. |
Classroom
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Apply Calculus Concepts: State Theorems
The learner will be able to
state and apply the Mean Value Theorem and/or Rolle's Theorem.
| Strand |
Bloom's |
Scope |
Source |
Activities |
| Applying Calculus Concepts |
Knowledge, Application |
Master |
School District of Washington. SG1. PS4-8. MA1-5. |
Classroom
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Apply Calculus Concepts: Sums
The learner will be able to
compute area values through the evaluation of sums and application of sigma notation.
| Strand |
Bloom's |
Scope |
Source |
Activities |
| Applying Calculus Concepts |
|
Master |
School District of Washington. SG1. PS4-8. SG3. PS1-5. MA1-5. |
Classroom
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Applying Calculus Concepts
The learner will be able to
explore and/or obtain solutions to problems involving optimization.
| Strand |
Bloom's |
Scope |
Source |
Activities |
| Applying Calculus Concepts |
|
Master |
School District of Washington. SG1. PS4-8. SG3. PS1-5. MA1-5. |
Classroom
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Applying Calculus Concepts
The learner will be able to
explore and/or obtain solutions to related rate problems.
| Strand |
Bloom's |
Scope |
Source |
Activities |
| Applying Calculus Concepts |
|
Master |
School District of Washington. SG1. PS4-8. SG3. PS1-5. MA1-5. |
Classroom
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Applying: Calculus Concepts
The learner will be able to
describe the applications of both limits and derivatives in mathematics, other curricular areas, and the real-world.
| Strand |
Bloom's |
Scope |
Source |
Activities |
| Applying Calculus Concepts |
Application |
Master |
School District of Washington. SG1. PS4-10. SG3. PS1-5. MA1-5. |
Classroom
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Applying: Calculus Concepts
The learner will be able to
demonstrate an understanding of the following calculus concepts by applying them in real-world problem solving situations: slope of a tangent line, rate of change, area under a curve, and limits.
| Strand |
Bloom's |
Scope |
Source |
Activities |
| Applying Calculus Concepts |
|
Master |
School District of Washington. SG1. PS4-10. SG3. PS1-5. MA1-5. |
Classroom
|
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Applying: Derivative
The learner will be able to
gain a working knowledge of the concept of the derivative.
| Strand |
Bloom's |
Scope |
Source |
Activities |
| Applying Calculus Concepts |
Knowledge |
Master |
School District of Washington. SG1. PS4-8. MA1-5. |
Classroom
|
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Applying: Integrals
The learner will be able to
use integrals and integral calculus to both solve problems and prove theorems.
| Strand |
Bloom's |
Scope |
Source |
Activities |
| Applying Calculus Concepts |
|
Master |
School District of Washington. SG1. PS4-8. SG3. PS1-8. SG4. PS1. MA1-5. |
Classroom
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Applying: Limits
The learner will be able to
analyze and apply the concept of limits.
| Strand |
Bloom's |
Scope |
Source |
Activities |
| Applying Calculus Concepts |
Analysis |
Master |
School District of Washington. SG1. PS4-8. MA1-5. |
Classroom
|
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Applying: Limits
The learner will be able to
graphically represent the definition of a limit and apply this in proofs.
| Strand |
Bloom's |
Scope |
Source |
Activities |
| Applying Calculus Concepts |
Application |
Master |
School District of Washington. SG1. PS4-8. SG4. PS1. MA1-5. |
Classroom
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Connecting: Algebraic/Geometric Concepts
The learner will be able to
find points of extremity, including absolute and relative maxima and minima, of graphs using equations and determine their meaning and application in real world situations.
| Strand |
Bloom's |
Scope |
Source |
Activities |
| Connecting |
Application |
Master |
School District of Washington. SG1. PS4-10. SG3. PS1-5. MA1-5. |
Classroom
|
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Connecting: Curves to 1st/2nd Derivative
The learner will be able to
make connections about how the first and second derivatives are related to the following concepts: zero's of a function, points of inflection, concavity, critical numbers, relative and absolute maxima and minima, and constant, increasing and decreasing intervals of a curve.
| Strand |
Bloom's |
Scope |
Source |
Activities |
| Connecting |
Analysis |
Master |
School District of Washington. SG1. PS4-8. SG4. PS1. MA1-5. |
Classroom
|
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Connecting: Exponential/Logarithmic
The learner will be able to
analyze the relationship between exponential and logarithmic functions, and how each is used to deal with real-world situations.
| Strand |
Bloom's |
Scope |
Source |
Activities |
| Connecting |
Analysis |
Master |
School District of Washington. SG1. PS4-10. SG4. PS1. MA1-5. |
Classroom
|
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Connecting: Trigonometric/Circular
The learner will be able to
make connections between circular and trigonometric expressions, their functions, and how each translates to graphical form.
| Strand |
Bloom's |
Scope |
Source |
Activities |
| Connecting |
Analysis |
Master |
School District of Washington. SG1. PS4-8. SG4. PS1. MA1-5. |
Classroom
|
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Curves: Interpreting
The learner will be able to
develop an intuitive sense about the concepts of the slope of a curve, interpret the meaning of the slope of a curve for a given graph and apply concepts of the slope to discuss the information contained in the graph.
| Strand |
Bloom's |
Scope |
Source |
Activities |
| Curve Sketching |
Analysis |
Master |
School District of Washington. SG1. PS4-8. SG2. PS1-3. SG4. PS1. MA1-5. |
Classroom
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Definite Integral: Properties
The learner will be able to
recognize the attributes and representations of the definite integral such as, area, the limit of a sum, and the Fundamental Theorem of Calculus.
| Strand |
Bloom's |
Scope |
Source |
Activities |
| Definite Integral |
Comprehension |
Master |
School District of Washington. SG1. PS4-8. MA1-5. |
Classroom
|
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Derivatives: Apply/Graph
The learner will be able to
apply derivatives to create graphs by illustrating functions increasing and/or decreasing.
| Strand |
Bloom's |
Scope |
Source |
Activities |
| Derivatives/Antiderivatives |
Knowledge |
Master |
School District of Washington. SG1. PS4-8. MA1-5. |
Classroom
|
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Derivatives: Determine
The learner will be able to
find the derivative of an algebraic function by applying the definition of a derivative including exploring and explaining the relationship between differentiability and continuity.
| Strand |
Bloom's |
Scope |
Source |
Activities |
| Derivatives/Antiderivatives |
Analysis |
Master |
School District of Washington. SG1. PS4-8. SG4. PS1. MA1-5. |
Classroom
|
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Derivatives: Formulas
The learner will be able to
use formulas to determine the derivative of algebraic, trigonometric, exponential, and logarithmic functions and their inverses.
| Strand |
Bloom's |
Scope |
Source |
Activities |
| Derivatives/Antiderivatives |
Knowledge |
Master |
School District of Washington. SG1. PS4-8. MA1-5. |
Classroom
|
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Derivatives: Higher Order
The learner will be able to
determine the higher order derivatives of algebraic functions, trigonometric functions, exponential functions and logarithmic functions.
| Strand |
Bloom's |
Scope |
Source |
Activities |
| Derivatives/Antiderivatives |
Knowledge |
Master |
School District of Washington. SG1. PS4-8. MA1-5. |
Classroom
|
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Derivatives: Mean Value Theorem
The learner will be able to
present the Mean Value Theorem (without proof) for derivatives and use it algebraically.
| Strand |
Bloom's |
Scope |
Source |
Activities |
| Derivatives/Antiderivatives |
Application |
Master |
School District of Washington. SG1. PS4-8. MA1-5. |
Classroom
|
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Derivatives: Mean Value Theorem
The learner will be able to
present the Mean Value Theorem for derivatives and use it graphically.
| Strand |
Bloom's |
Scope |
Source |
Activities |
| Derivatives/Antiderivatives |
|
Master |
School District of Washington. SG1. PS4-8. SG3. PS1-5. MA1-5. |
Classroom
|
|
Derivatives: Problem Solving
The learner will be able to
use the concept of derivative to obtain problem solutions involving Newton's Method or linear approximations.
| Strand |
Bloom's |
Scope |
Source |
Activities |
| Derivatives/Antiderivatives |
|
Master |
School District of Washington. SG1. PS4-8. SG3. PS1-5. MA1-5. |
Classroom
|
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Derivatives: Problem Solving
The learner will be able to
use the concept of derivative to obtain problem solutions including tangent and normal lines to a curve, curve sketching, velocity, acceleration, related rates of change, differentials, and optimization problems.
| Strand |
Bloom's |
Scope |
Source |
Activities |
| Derivatives/Antiderivatives |
Application |
Master |
School District of Washington. SG1. PS4-10. SG3. PS1-8. MA1-5. |
Classroom
|
|
Differential Equations
The learner will be able to
explore differentials and their uses in linear approximations.
| Strand |
Bloom's |
Scope |
Source |
Activities |
| Differential Equations |
|
Master |
School District of Washington. SG1. PS4-8. SG3. PS1-5. MA1-5. |
Classroom
|
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Exploring: Calculus Concepts
The learner will be able to
investigate concepts of calculus in an informal manner, using graphical and numerical perspectives.
| Strand |
Bloom's |
Scope |
Source |
Activities |
| Exploring |
Comprehension |
Master |
School District of Washington. SG1. PS4-8. MA1-5. |
Classroom
|
|
Functions: Limits
The learner will be able to
find and/or explore limits of functions.
| Strand |
Bloom's |
Scope |
Source |
Activities |
| Limits |
Comprehension |
Master |
School District of Washington. SG1. PS4-10. MA1-5. |
Classroom
|
|
Integral Calculus: Applying
The learner will be able to
gain a working knowledge of how to apply integral calculus in real-world and mathematical situations.
| Strand |
Bloom's |
Scope |
Source |
Activities |
| Integration |
Application |
Master |
School District of Washington. SG1. PS4-10. SG3. PS1-5. MA1-5. |
Classroom
|
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Integral Calculus: Understanding
The learner will be able to
gain a working knowledge of the concept of integral calculus.
| Strand |
Bloom's |
Scope |
Source |
Activities |
| Integration |
Knowledge |
Master |
School District of Washington. SG1. PS4-8. MA1-5. |
Classroom
|
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Integration: Define/Apply
The learner will be able to
make definitions of and/or use properties of the definite integral.
| Strand |
Bloom's |
Scope |
Source |
Activities |
| Integration |
Application |
Master |
School District of Washington. SG1. PS4-8. MA1-5. |
Classroom
|
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Integration: Indefinite Integral
The learner will be able to
determine the indefinite integral of various types of functions such as, algebraic functions, exponential functions, logarithmic functions, and trigonometric functions.
| Strand |
Bloom's |
Scope |
Source |
Activities |
| Integration |
Knowledge |
Master |
School District of Washington. SG1. PS4-8. MA1-5. |
Classroom
|
|
Integration: Natural Log
The learner will be able to
interpret the natural log ( ln x ) as the area under the curve of the function f(x) = 1/x.
| Strand |
Bloom's |
Scope |
Source |
Activities |
| Integration |
Comprehension |
Master |
School District of Washington. SG1. PS4-8. SG4. PS1. MA1-5. |
Classroom
|
|
Integration: Problem Solving
The learner will be able to
apply the concept of integration to obtain problem solutions involving length of a path (including parametric curves), surface area and work (Hooke's law).
| Strand |
Bloom's |
Scope |
Source |
Activities |
| Integration |
Application |
Master |
School District of Washington. SG1. PS4-8. SG3. PS1-5. MA1-5. |
Classroom
|
|
Limit: Develop Concepts
The learner will be able to
informally determine the idea of limits through the use of infinite sequences and rational functions.
| Strand |
Bloom's |
Scope |
Source |
Activities |
| Limits |
Comprehension |
Master |
School District of Washington. SG1. PS4-8. SG4. PS1. MA1-5. |
Classroom
|
|
Limit: Knowledge
The learner will be able to
display an understanding of the formal and graphical definitions or interpretations of limits of function values, including one sided limits, limits at infinity, and infinite limits.
| Strand |
Bloom's |
Scope |
Source |
Activities |
| Limits |
Comprehension |
Master |
School District of Washington. SG1. PS4-8. SG4. PS1. MA1-5. |
Classroom
|
|
Limits
The learner will be able to
show comprehension of the epsilon-delta limit definition concept.
| Strand |
Bloom's |
Scope |
Source |
Activities |
| Limits |
Comprehension |
Master |
School District of Washington. SG1. PS4-8. SG2. PS1-3. MA1-5. |
Classroom
|
|
Limits: Algebraic Functions
The learner will be able to
determine the limit (if possible) of an algebraic function as its variable nears a fixed number or grows without bound toward infinity, applying graphing methods and utilities for confirmation of results.
| Strand |
Bloom's |
Scope |
Source |
Activities |
| Limits |
Application |
Master |
School District of Washington. SG1. PS4-8. SG4. PS1. MA1-5. |
Classroom
|
|
Limits: Limit Concept
The learner will be able to
determine the properties of limits of functions, such as limits of a constant, sum, product, quotient, limits taken from one side, limits at infinity, infinite limits, and limits that do not exist.
| Strand |
Bloom's |
Scope |
Source |
Activities |
| Limits |
Knowledge |
Master |
School District of Washington. SG1. PS4-8. MA1-5. |
Classroom
|
|
Parametric Equations: Understanding
The learner will be able to
understand parametric equations through the application of graphical methods and utilities.
| Strand |
Bloom's |
Scope |
Source |
Activities |
| Parametric Equations |
Comprehension |
Master |
School District of Washington. SG1. PS4-8. MA1-5. |
Classroom
|
|
Problem Solving: Calculus/Technology
The learner will be able to
use technology (scientific or graphing calculators and/or computers) when appropriate to solve real-world problems throughout calculus instruction.
| Strand |
Bloom's |
Scope |
Source |
Activities |
| Problem Solving |
Application |
Master |
School District of Washington. SG1. PS4. SG3. PS1-8. MA1-5. |
Classroom
|
|
Antiderivative: Apply/Growth/Decay
The learner will be able to
use the antiderivative in problems involving growth and/or decay.
| Strand |
Bloom's |
Scope |
Source |
Activities |
| Derivatives/Antiderivatives |
Application |
Master |
School District of Washington. SG1. PS4-8. SG3. PS1-5. MA1-5. |
Classroom
|
|
Antiderivative: Define
The learner will be able to
understand the meaning of the antiderivative.
| Strand |
Bloom's |
Scope |
Source |
Activities |
| Derivatives/Antiderivatives |
Comprehension |
Master |
School District of Washington. SG1. PS4-8. MA1-5. |
Classroom
|
|
Apply Calculus Concepts: Limit Functions
The learner will be able to
apply L'Hopital's Rule to determine the limit of functions whose limits yield the indeterminate forms: 0/0 and infinity/infinity.
| Strand |
Bloom's |
Scope |
Source |
Activities |
| Applying Calculus Concepts |
Application |
Master |
School District of Washington. SG1. PS4-8. MA1-5. |
Classroom
|
|
Connecting: Differentiable/Continuous
The learner will be able to
make connections about how differentiability and continuity are related.
| Strand |
Bloom's |
Scope |
Source |
Activities |
| Connecting |
Analysis |
Master |
School District of Washington. SG1. PS4-8. SG4. PS1. MA1-5. |
Classroom
|
|
Curves: Concavity
The learner will be able to
recognize points of concavity on a curve.
| Strand |
Bloom's |
Scope |
Source |
Activities |
| Curve Sketching |
Comprehension |
Master |
School District of Washington. SG1. PS4-8. MA1-5. |
Classroom
|
|
Curves: Constant/Increasing/Decreasing
The learner will be able to
recognize points on a curve where it is constant, increasing, or decreasing.
| Strand |
Bloom's |
Scope |
Source |
Activities |
| Curve Sketching |
Comprehension |
Master |
School District of Washington. SG1. PS4-8. MA1-5. |
Classroom
|
|
Curves: Equations of Tangents/Slopes
The learner will be able to
find the equation of tangents to the graphs of curves using the slope formula.
| Strand |
Bloom's |
Scope |
Source |
Activities |
| Curve Sketching |
Application |
Master |
School District of Washington. SG1. PS4-8. SG3. PS1-5. MA1-5. |
Classroom
|
|
Curves: Newton/Intersecting Functions
The learner will be able to
determine the intersection of two points using Newton's method.
| Strand |
Bloom's |
Scope |
Source |
Activities |
| Curve Sketching |
Comprehension |
Master |
School District of Washington. SG1. PS4-8. MA1-5. |
Classroom
|
|
Curves: Newton/Zero's of a Function
The learner will be able to
determine the points at which the value of function is zero (Newton's approximation of where a curve crosses the x-axis).
| Strand |
Bloom's |
Scope |
Source |
Activities |
| Curve Sketching |
Comprehension |
Master |
School District of Washington. SG1. PS4-8. SG3. PS1-5. MA1-5. |
Classroom
|
|
Curves: Points of Inflection
The learner will be able to
calculate points of inflection on a curve.
| Strand |
Bloom's |
Scope |
Source |
Activities |
| Curve Sketching |
Comprehension |
Master |
School District of Washington. SG1. PS4-8. MA1-5. |
Classroom
|
|
Definite Integral: Antiderivatives
The learner will be able to
evaluate definite integrals using antiderivatives.
| Strand |
Bloom's |
Scope |
Source |
Activities |
| Definite Integral |
Comprehension |
Master |
School District of Washington. SG1. PS4-8. MA1-5. |
Classroom
|
|
Definite Integral: Area Under Curve
The learner will be able to
use concepts of the definite integral to calculate the area between a curve and the x-axis.
| Strand |
Bloom's |
Scope |
Source |
Activities |
| Definite Integral |
Comprehension |
Master |
School District of Washington. SG1. PS4-8. SG3. PS1-5. MA1-5. |
Classroom
|
|
Definite Integral: Average Value
The learner will be able to
use concepts of the definite integral to calculate the average value of a function.
| Strand |
Bloom's |
Scope |
Source |
Activities |
| Definite Integral |
Comprehension |
Master |
School District of Washington. SG1. PS4-8. SG3. PS1-5. MA1-5. |
Classroom
|
|
Definite Integral: Definition
The learner will be able to
understand that the definite integral is by definition the limit of a sum.
| Strand |
Bloom's |
Scope |
Source |
Activities |
| Definite Integral |
Comprehension |
Master |
School District of Washington. SG1. PS4-8. SG4. PS1. MA1-5. |
Classroom
|
|
Definite Integral: Fundamental Theorems
The learner will be able to
evaluate definite integrals by applying the Fundamental Theorems of calculus.
| Strand |
Bloom's |
Scope |
Source |
Activities |
| Definite Integral |
Comprehension |
Master |
School District of Washington. SG1. PS4-8. MA1-5. |
Classroom
|
|
Definite Integral: Length of a Curve
The learner will be able to
use concepts of the definite integral to calculate the length of a curve.
| Strand |
Bloom's |
Scope |
Source |
Activities |
| Definite Integral |
Comprehension |
Master |
School District of Washington. SG1. PS4-8. SG3. PS1-5. MA1-5. |
Classroom
|
|
Definite Integral: Limit of Riemann Sums
The learner will be able to
rewrite definite integrals as the limit of Riemann Sums and vice-versa.
| Strand |
Bloom's |
Scope |
Source |
Activities |
| Definite Integral |
Comprehension |
Master |
School District of Washington. SG1. PS4-8. MA1-5. |
Classroom
|
|
Definite Integral: Problem Solving
The learner will be able to
use the concept of the definite integral to obtain solutions to problems involving the average value of a function, area between curves, volumes of solids of revolution about the axes or lines parallel to the axes using disc/washer and shell methods, and volumes of solids with known cross-sectional area.
| Strand |
Bloom's |
Scope |
Source |
Activities |
| Definite Integral |
Application |
Master |
School District of Washington. SG1. PS4-8. SG3. PS1-5. MA1-5. |
Classroom
|
|
Definite Integral: Properties
The learner will be able to
understand the properties of the definite integral.
| Strand |
Bloom's |
Scope |
Source |
Activities |
| Definite Integral |
Comprehension |
Master |
School District of Washington. SG1. PS4-8. MA1-5. |
Classroom
|
|
Definite Integral: Rectangle Estimations
The learner will be able to
understand rectangle estimations as approximations to the definite integral.
| Strand |
Bloom's |
Scope |
Source |
Activities |
| Definite Integral |
Comprehension |
Master |
School District of Washington. SG1. PS4-8. SG3. PS1-5. MA1-5. |
Classroom
|
|
Definite Integral: Riemann Sums
The learner will be able to
apply a knowledge of the definition of the definite integral using Riemann Sums to approximate the actual value of integrals.
| Strand |
Bloom's |
Scope |
Source |
Activities |
| Definite Integral |
Application |
Master |
School District of Washington. SG1. PS4-8. SG3. PS1-5. MA1-5. |
Classroom
|
|
Definite Integral: Simpson's Rule
The learner will be able to
apply Simpson's Rule in approximating definite integrals.
| Strand |
Bloom's |
Scope |
Source |
Activities |
| Definite Integral |
Application |
Master |
School District of Washington. SG1. PS4-8. SG3. PS1-5. MA1-5. |
Classroom
|
|
Definite Integral: Surface Area
The learner will be able to
use concepts of the definite integral to calculate the surface area of a solid of revolution.
| Strand |
Bloom's |
Scope |
Source |
Activities |
| Definite Integral |
Comprehension |
Master |
School District of Washington. SG1. PS4-8. SG3. PS1-5. MA1-5. |
Classroom
|
|
Definite Integral: Technology
The learner will be able to
use technology to approximate definite integrals.
| Strand |
Bloom's |
Scope |
Source |
Activities |
| Definite Integral |
Comprehension |
Master |
School District of Washington. SG1. PS4. SG3. PS1-5. MA1-5. |
Classroom
|
|
Definite Integral: Trapezoidal Rule
The learner will be able to
apply the Trapezoidal Rule in approximating definite integrals.
| Strand |
Bloom's |
Scope |
Source |
Activities |
| Definite Integral |
Application |
Master |
School District of Washington. SG1. PS4-8. SG3. PS1-5. MA1-5. |
Classroom
|
|
Definite Integral: Volume/Known Areas
The learner will be able to
use concepts of the definite integral to calculate the volume of a solid of revolution where the cross-sectional area is a known value.
| Strand |
Bloom's |
Scope |
Source |
Activities |
| Definite Integral |
Comprehension |
Master |
School District of Washington. SG1. PS4-8. SG3. PS1-5. MA1-5. |
Classroom
|
|
Definite Integral: Volume/Solid of Rev.
The learner will be able to
use concepts of the definite integral to calculate the volume of a solid of revolution (washer, disc, or shell) about the x-axis, y-axis, or a line parallel to one of the two axes.
| Strand |
Bloom's |
Scope |
Source |
Activities |
| Definite Integral |
Comprehension |
Master |
School District of Washington. SG1. PS4-8. SG3. PS1-5. MA1-5. |
Classroom
|
|
Definite Integral: Work
The learner will be able to
use concepts of the definite integral to determine work when either force or displacement is used as the variable.
| Strand |
Bloom's |
Scope |
Source |
Activities |
| Definite Integral |
Comprehension |
Master |
School District of Washington. SG1. PS4-8. SG3. PS1-5. MA1-5. |
Classroom
|
|
Definite Integrals: Problems
The learner will be able to
apply definite integrals to problems involving work, volume, velocity, and/or acceleration.
| Strand |
Bloom's |
Scope |
Source |
Activities |
| Definite Integral |
Application |
Master |
School District of Washington. SG1. PS4-10. SG3. PS1-5. MA1-5. |
Classroom
|
|
Derivatives: Chain Rule
The learner will be able to
apply the chain rule in finding derivatives.
| Strand |
Bloom's |
Scope |
Source |
Activities |
| Derivatives/Antiderivatives |
Comprehension |
Master |
School District of Washington. SG1. PS4-8. MA1-5. |
Classroom
|
|
Derivatives: Circle/Equation Tangent
The learner will be able to
determine the equation of a line tangent to a circle at a given point using the equation of the circle.
| Strand |
Bloom's |
Scope |
Source |
Activities |
| Derivatives/Antiderivatives |
Comprehension |
Master |
School District of Washington. SG1. PS4-8. SG3. PS1-5. MA1-5. |
Classroom
|
|
Derivatives: Composite/Chain Rule
The learner will be able to
calculate the derivative of composite functions using the chain rule.
| Strand |
Bloom's |
Scope |
Source |
Activities |
| Derivatives/Antiderivatives |
Comprehension |
Master |
School District of Washington. SG1. PS4-8. MA1-5. |
Classroom
|
|
Derivatives: Concavity
The learner will be able to
apply derivatives to determine whether curves are concave or convex at a given point.
| Strand |
Bloom's |
Scope |
Source |
Activities |
| Derivatives/Antiderivatives |
Comprehension |
Master |
School District of Washington. SG1. PS4-8. SG3. PS1-5. MA1-5. |
Classroom
|
|
Derivatives: Curve Sketching
The learner will be able to
sketch a curve using information from the first and second derivatives.
| Strand |
Bloom's |
Scope |
Source |
Activities |
| Derivatives/Antiderivatives |
Comprehension |
Master |
School District of Washington. SG1. PS4-8. MA1-5. |
Classroom
|
|
Derivatives: Define
The learner will be able to
describe the meaning of the derivative of a function.
| Strand |
Bloom's |
Scope |
Source |
Activities |
| Derivatives/Antiderivatives |
Comprehension |
Master |
School District of Washington. SG1. PS4-8. SG2. PS1-3. SG4. PS1. MA1-5. |
Classroom
|
|
Derivatives: Differential Approximation
The learner will be able to
use derivatives in solving differential approximations.
| Strand |
Bloom's |
Scope |
Source |
Activities |
| Derivatives/Antiderivatives |
Comprehension |
Master |
School District of Washington. SG1. PS4-8. SG3. PS1-5. MA1-5. |
Classroom
|
|
Derivatives: Equation Tangent/Normal
The learner will be able to
determine the equation of both tangent and normal lines to a curve using the derivative.
| Strand |
Bloom's |
Scope |
Source |
Activities |
| Derivatives/Antiderivatives |
Application |
Master |
School District of Washington. SG1. PS4-8. SG3. PS1-5. MA1-5. |
Classroom
|
|
Derivatives: Finding Zeros
The learner will be able to
calculate the zeros of the derivative of a function.
| Strand |
Bloom's |
Scope |
Source |
Activities |
| Derivatives/Antiderivatives |
Comprehension |
Master |
School District of Washington. SG1. PS4-8. MA1-5. |
Classroom
|
|
Derivatives: Function/Implicitly Defined
The learner will be able to
calculate the derivative of implicitly defined functions.
| Strand |
Bloom's |
Scope |
Source |
Activities |
| Derivatives/Antiderivatives |
Comprehension |
Master |
School District of Washington. SG1. PS4-8. MA1-5. |
Classroom
|
|
Derivatives: Higher Order
The learner will be able to
calculate higher order derivatives (second derivative, third derivative, etc.).
| Strand |
Bloom's |
Scope |
Source |
Activities |
| Derivatives/Antiderivatives |
Comprehension |
Master |
School District of Washington. SG1. PS4-8. MA1-5. |
Classroom
|
|
Derivatives: Inverse Functions
The learner will be able to
calculate the derivative of the inverses of functions, including trigonometric inverses.
| Strand |
Bloom's |
Scope |
Source |
Activities |
| Derivatives/Antiderivatives |
Comprehension |
Master |
School District of Washington. SG1. PS4-8. MA1-5. |
Classroom
|
|
Derivatives: l'Hopital's Rule
The learner will be able to
use derivatives in applying l'Hopital's rule to evaluate limits in a variety of forms.
| Strand |
Bloom's |
Scope |
Source |
Activities |
| Derivatives/Antiderivatives |
Comprehension |
Master |
School District of Washington. SG1. PS4-8. MA1-5. |
Classroom
|
|
Derivatives: Logarithmic Differentiation
The learner will be able to
calculate derivatives using logarithmic differentiation.
| Strand |
Bloom's |
Scope |
Source |
Activities |
| Derivatives/Antiderivatives |
Comprehension |
Master |
School District of Washington. SG1. PS4-8. MA1-5. |
Classroom
|
|
Derivatives: Maxima/Minima
The learner will be able to
use derivatives in solving maxima and minima problems, including marginal analysis.
| Strand |
Bloom's |
Scope |
Source |
Activities |
| Derivatives/Antiderivatives |
Comprehension |
Master |
School District of Washington. SG1. PS4-10. SG3. PS1-5. MA1-5. |
Classroom
|
|
Derivatives: Maxima/Minima
The learner will be able to
apply derivatives to find maxima and minima points.
| Strand |
Bloom's |
Scope |
Source |
Activities |
| Derivatives/Antiderivatives |
Comprehension |
Master |
School District of Washington. SG1. PS4-8. SG3. PS1-5. MA1-5. |
Classroom
|
|
Derivatives: Mean Value Theorem
The learner will be able to
solve problems using the mean value theorem.
| Strand |
Bloom's |
Scope |
Source |
Activities |
| Derivatives/Antiderivatives |
Application |
Master |
School District of Washington. SG1. PS4-8. SG3. PS1-8. MA1-5. |
Classroom
|
|
Derivatives: Notation
The learner will be able to
understand derivative notation.
| Strand |
Bloom's |
Scope |
Source |
Activities |
| Derivatives/Antiderivatives |
Comprehension |
Master |
School District of Washington. SG1. PS4-8. MA1-5. |
Classroom
|
|
Derivatives: Operations
The learner will be able to
calculate derivatives of sums, products, and quotients.
| Strand |
Bloom's |
Scope |
Source |
Activities |
| Derivatives/Antiderivatives |
Comprehension |
Master |
School District of Washington. SG1. PS4-8. MA1-5. |
Classroom
|
|
Derivatives: Parametric Functions
The learner will be able to
calculate the derivative of functions which are defined parametrically.
| Strand |
Bloom's |
Scope |
Source |
Activities |
| Derivatives/Antiderivatives |
Comprehension |
Master |
School District of Washington. SG1. PS4-8. MA1-5. |
Classroom
|
|
Derivatives: Particle Motion
The learner will be able to
use the derivative to determine particle motion either on a line or in a plane.
| Strand |
Bloom's |
Scope |
Source |
Activities |
| Derivatives/Antiderivatives |
Comprehension |
Master |
School District of Washington. SG1. PS4-8. SG3. PS1-5. MA1-5. |
Classroom
|
|
Derivatives: Points of Inflection
The learner will be able to
apply derivatives to find points of inflection.
| Strand |
Bloom's |
Scope |
Source |
Activities |
| Derivatives/Antiderivatives |
Comprehension |
Master |
School District of Washington. SG1. PS4-8. SG3. PS1-5. MA1-5. |
Classroom
|
|
Derivatives: Polynomials/Limits
The learner will be able to
apply the limit concept to finding the derivatives of polynomials.
| Strand |
Bloom's |
Scope |
Source |
Activities |
| Derivatives/Antiderivatives |
Application |
Master |
School District of Washington. SG1. PS4-8. SG4. PS1. MA1-5. |
Classroom
|
|
Derivatives: Problem Solving
The learner will be able to
solve problems using derivatives.
| Strand |
Bloom's |
Scope |
Source |
Activities |
| Derivatives/Antiderivatives |
Application |
Master |
School District of Washington. SG1. PS4-8. SG3. PS1-8. MA1-5. |
Classroom
|
|
Derivatives: Problem Solving
The learner will be able to
obtain solutions to problems including tangent and normal lines to a curve, curve sketching, velocity, acceleration, related rates of change, Newton's method, differential and linear approximations, and optimization problems.
| Strand |
Bloom's |
Scope |
Source |
Activities |
| Trigonometric Functions |
Application |
Master |
School District of Washington. SG1. PS4-8. SG3. PS1-8. MA1-5. |
Classroom
|
|
Derivatives: Rate of Change/Define
The learner will be able to
define a derivative as a measure of the rate of change.
| Strand |
Bloom's |
Scope |
Source |
Activities |
| Derivatives/Antiderivatives |
Knowledge |
Master |
School District of Washington. SG1. PS4-8. SG3. PS1-5. MA1-5. |
Classroom
|
|
Derivatives: Rates of Change
The learner will be able to
use derivatives in solving for both instantaneous and average rates of change.
| Strand |
Bloom's |
Scope |
Source |
Activities |
| Derivatives/Antiderivatives |
Comprehension |
Master |
School District of Washington. SG1. PS4-8. SG3. PS1-5. MA1-5. |
Classroom
|
|
Derivatives: Related Rates of Change
The learner will be able to
use derivatives in solving for related rates of change.
| Strand |
Bloom's |
Scope |
Source |
Activities |
| Derivatives/Antiderivatives |
Comprehension |
Master |
School District of Washington. SG1. PS4-8. SG3. PS1-5. MA1-5. |
Classroom
|
|
Derivatives: Relative Maxima/Minima
The learner will be able to
apply derivatives to find relative maxima and minima points.
| Strand |
Bloom's |
Scope |
Source |
Activities |
| Derivatives/Antiderivatives |
Comprehension |
Master |
School District of Washington. SG1. PS4-8. SG3. PS1-5. MA1-5. |
Classroom
|
|
Derivatives: Sketch Graphs
The learner will be able to
apply derivatives in manually sketching function graphs.
| Strand |
Bloom's |
Scope |
Source |
Activities |
| Derivatives/Antiderivatives |
Application |
Master |
School District of Washington. SG1. PS4-8. MA1-5. |
Classroom
|
|
Derivatives: Slope of a Tangent/Define
The learner will be able to
define a derivative as the slope of a line tangent to a curve at a given point.
| Strand |
Bloom's |
Scope |
Source |
Activities |
| Derivatives/Antiderivatives |
Knowledge |
Master |
School District of Washington. SG1. PS4-8. SG4. PS1. MA1-5. |
Classroom
|
|
Derivatives: Slope/Tangent/Normal
The learner will be able to
use derivative concepts in solving for slopes, tangents, and normals to a curve.
| Strand |
Bloom's |
Scope |
Source |
Activities |
| Derivatives/Antiderivatives |
Application |
Master |
School District of Washington. SG1. PS4-8. SG3. PS1-5. MA1-5. |
Classroom
|
|
Derivatives: Solve Optimization Problems
The learner will be able to
apply differentiation in obtaining solutions to optimization problems in both theoretical and real world contexts.
| Strand |
Bloom's |
Scope |
Source |
Activities |
| Derivatives/Antiderivatives |
Application |
Master |
School District of Washington. SG1. PS4-10. SG3. PS1-8. MA1-5. |
Classroom
|
|
Derivatives: Understanding Zeros
The learner will be able to
understand the zeros of the derivative of a function as maximum or minimum points.
| Strand |
Bloom's |
Scope |
Source |
Activities |
| Derivatives/Antiderivatives |
Comprehension |
Master |
School District of Washington. SG1. PS4-8. MA1-5. |
Classroom
|
|
Derivatives: Velocity/Acceleration
The learner will be able to
determine both the velocity and acceleration of an object which is traveling in a straight line.
| Strand |
Bloom's |
Scope |
Source |
Activities |
| Derivatives/Antiderivatives |
Comprehension |
Master |
School District of Washington. SG1. PS4-8. SG3. PS1-5. MA1-5. |
Classroom
|
|
Derivatives: Velocity/Acceleration/Speed
The learner will be able to
use derivatives in solving for velocity, acceleration, and speed.
| Strand |
Bloom's |
Scope |
Source |
Activities |
| Derivatives/Antiderivatives |
Application |
Master |
School District of Washington. SG1. PS4-8. SG3. PS1-5. MA1-5. |
Classroom
|
|
Derivatives: Zero as a Maxima/Minima
The learner will be able to
determine whether a given zero of the derivative of a function is a maxima or minima.
| Strand |
Bloom's |
Scope |
Source |
Activities |
| Derivatives/Antiderivatives |
Comprehension |
Master |
School District of Washington. SG1. PS4-8. SG4. PS1. MA1-5. |
Classroom
|
|
Differential Equation: Separable
The learner will be able to
determine solutions to differential equations in the form f(x) dx = g(y) dy which are separable.
| Strand |
Bloom's |
Scope |
Source |
Activities |
| Differential Equations |
Comprehension |
Master |
School District of Washington. SG1. PS4-8. SG3. PS1-5. MA1-5. |
Classroom
|
|
Differential Equation: Solve
The learner will be able to
solve basic differential equations.
| Strand |
Bloom's |
Scope |
Source |
Activities |
| Differential Equations |
Comprehension |
Master |
School District of Washington. SG1. PS4-8. SG3. PS1-5. MA1-5. |
Classroom
|
|
Integration: Applying
The learner will be able to
use concepts involved with integration.
| Strand |
Bloom's |
Scope |
Source |
Activities |
| Integration |
Application |
Master |
School District of Washington. SG1. PS4-8. SG3. PS1-5. MA1-5. |
Classroom
|
|
Integration: Basic Formulas
The learner will be able to
apply basic integration formulas.
| Strand |
Bloom's |
Scope |
Source |
Activities |
| Integration |
Comprehension |
Master |
School District of Washington. SG1. PS4-8. MA1-5. |
Classroom
|
|
Integration: Changing Variables
The learner will be able to
integrate by changing variables.
| Strand |
Bloom's |
Scope |
Source |
Activities |
| Integration |
Application |
Master |
School District of Washington. SG1. PS4-8. MA1-5. |
Classroom
|
|
Integration: Finding Area/Volume
The learner will be able to
find the area between curves and/or the volume of a solid of revolution using integration.
| Strand |
Bloom's |
Scope |
Source |
Activities |
| Integration |
Application |
Master |
School District of Washington. SG1. PS4-10. SG3. PS1-8. MA1-5. |
Classroom
|
|
Integration: Indefinite/Antiderivatives
The learner will be able to
evaluate indefinite integrals using antiderivatives.
| Strand |
Bloom's |
Scope |
Source |
Activities |
| Integration |
Comprehension |
Master |
School District of Washington. SG1. PS4-8. MA1-5. |
Classroom
|
|
Integration: Indefinite/Bounds
The learner will be able to
solve problems using both indefinite integrals and those with upper and lower bounds.
| Strand |
Bloom's |
Scope |
Source |
Activities |
| Integration |
Application |
Master |
School District of Washington. SG1. PS4-8. SG3. PS1-5. MA1-5. |
Classroom
|
|
Integration: Indefinite/Fundamental
The learner will be able to
evaluate indefinite integrals by applying the Fundamental Theorems of calculus.
| Strand |
Bloom's |
Scope |
Source |
Activities |
| Integration |
Comprehension |
Master |
School District of Washington. SG1. PS4-8. SG3. PS1-5. MA1-5. |
Classroom
|
|
Integration: Riemann Sums
The learner will be able to
determine the value of the Riemann Sum over a given interval.
| Strand |
Bloom's |
Scope |
Source |
Activities |
| Integration |
Comprehension |
Master |
School District of Washington. SG1. PS4-8. SG3. PS1-5. MA1-5. |
Classroom
|
|
Integration: Substitution
The learner will be able to
integrate using substitution.
| Strand |
Bloom's |
Scope |
Source |
Activities |
| Integration |
Knowledge |
Master |
School District of Washington. SG1. PS4-8. MA1-5. |
Classroom
|
|
Integration: Surfaces/Volumes
The learner will be able to
apply concepts of calculus to find both surfaces and solids of revolution.
| Strand |
Bloom's |
Scope |
Source |
Activities |
| Integration |
Application |
Master |
School District of Washington. SG1. PS4-8. SG3. PS1-5. MA1-5. |
Classroom
|
|
Integration: Techniques
The learner will be able to
apply the techniques of integration.
| Strand |
Bloom's |
Scope |
Source |
Activities |
| Integration |
Application |
Master |
School District of Washington. SG1. PS4-8. SG3. PS1-5. MA1-5. |
Classroom
|
|
Integration: technological Means
The learner will be able to
apply calculators to numerically approximate integrals.
| Strand |
Bloom's |
Scope |
Source |
Activities |
| Integration |
Application |
Master |
School District of Washington. SG1. PS4-8. SG3. PS1-5. MA1-5. |
Classroom
|
|
Integration: Trigonometric Substitutions
The learner will be able to
perform integration using trigonometric substitutions.
| Strand |
Bloom's |
Scope |
Source |
Activities |
| Integration |
Comprehension |
Master |
School District of Washington. SG1. PS4-8. MA1-5. |
Classroom
|
|
Intermediate Value Theorem: Application
The learner will be able to
apply an understanding of the intermediate value theorem.
| Strand |
Bloom's |
Scope |
Source |
Activities |
| Applying Calculus Concepts |
Application |
Master |
School District of Washington. SG1. PS4-8. SG3. PS1-5. MA1-5. |
Classroom
|
|
Limits: Apply
The learner will be able to
apply special limits such as the limit of (sin(x))/x and/or (cos(x))/x as the value of x approaches zero.
| Strand |
Bloom's |
Scope |
Source |
Activities |
| Limits |
Application |
Master |
School District of Washington. SG1. PS4-8. MA1-5. |
Classroom
|
|
Limits: Apply Theorems
The learner will be able to
apply theorems used for evaluating the limits of sums, products, quotients, and function compositions.
| Strand |
Bloom's |
Scope |
Source |
Activities |
| Limits |
Application |
Master |
School District of Washington. SG1. PS4-8. MA1-5. |
Classroom
|
|
Limits: At Infinity
The learner will be able to
determine limits which are set at infinity.
| Strand |
Bloom's |
Scope |
Source |
Activities |
| Limits |
Comprehension |
Master |
School District of Washington. SG1. PS4-8. SG4. PS1. MA1-5. |
Classroom
|
|
Limits: Define
The learner will be able to
describe the meaning of a limit.
| Strand |
Bloom's |
Scope |
Source |
Activities |
| Limits |
Knowledge, Comprehension |
Master |
School District of Washington. SG1. PS4-8. SG4. PS1. MA1-5. |
Classroom
|
|
Limits: Experimentally Defined
The learner will be able to
use technology to experimentally explore the definition of a limit.
| Strand |
Bloom's |
Scope |
Source |
Activities |
| Limits |
Comprehension |
Master |
School District of Washington. SG1. PS4-8. SG3. PS1-5. MA1-5. |
Classroom
|
|
Limits: Functions
The learner will be able to
become familiar with the concept of the limit of a function, as its independent variable approaches a fixed number or grows towards infinity.
| Strand |
Bloom's |
Scope |
Source |
Activities |
| Limits |
Comprehension |
Master |
School District of Washington. SG1. PS4-8. SG4. PS1. MA1-5. |
Classroom
|
|
Limits: Infinite
The learner will be able to
determine when the limit of a given expression is infinite.
| Strand |
Bloom's |
Scope |
Source |
Activities |
| Limits |
Comprehension |
Master |
School District of Washington. SG1. PS4-8. SG3. PS1-5. MA1-5. |
Classroom
|
|
Limits: Limit Concept
The learner will be able to
understand the concept of a limit.
| Strand |
Bloom's |
Scope |
Source |
Activities |
| Limits |
Comprehension |
Master |
School District of Washington. SG1. PS4-8. SG4. PS1. MA1-5. |
Classroom
|
|
Limits: Neighborhoods of Domain/Range
The learner will be able to
find a neighborhood of the range for the neighborhood of a given domain.
| Strand |
Bloom's |
Scope |
Source |
Activities |
| Limits |
Comprehension |
Master |
School District of Washington. SG1. PS4-8. SG3. PS1-5. MA1-5. |
Classroom
|
|
Limits: One-Sided
The learner will be able to
determine limits which are one-sided.
| Strand |
Bloom's |
Scope |
Source |
Activities |
| Limits |
Comprehension |
Master |
School District of Washington. SG1. PS4-8. MA1-5. |
Classroom
|
|
Limits: Polynomial Expressions
The learner will be able to
find the limits of a given polynomial expressions.
| Strand |
Bloom's |
Scope |
Source |
Activities |
| Limits |
Knowledge |
Master |
School District of Washington. SG1. PS4-8. MA1-5. |
Classroom
|
|
Limits: Technology
The learner will be able to
determine limits of a function using technology.
| Strand |
Bloom's |
Scope |
Source |
Activities |
| Limits |
Comprehension |
Master |
School District of Washington. SG1. PS4-8. MA1-5. |
Classroom
|
|
Limits: Theorems/Properties
The learner will be able to
apply both limit theorems and properties in solving problems.
| Strand |
Bloom's |
Scope |
Source |
Activities |
| Limits |
Application |
Master |
School District of Washington. SG1. PS4-8. SG3. PS1-8. MA1-5. |
Classroom
|
|
Limits: Using Rules
The learner will be able to
determine limits by applying the following rules: sum, difference, product, quotient, and constant.
| Strand |
Bloom's |
Scope |
Source |
Activities |
| Limits |
Application |
Master |
School District of Washington. SG1. PS4-8. MA1-5. |
Classroom
|
|
Limits: Verify/Graphing Calculator
The learner will be able to
verify limits with the application of graphing calculators.
| Strand |
Bloom's |
Scope |
Source |
Activities |
| Limits |
Application |
Master |
School District of Washington. SG1. PS4-8. SG3. PS1-5. MA1-5. |
Classroom
|
|
Parametric Equations: Cartesian Forms
The learner will be able to
identify and apply parametric forms of functions and convert between their parametric and Cartesian form.
| Strand |
Bloom's |
Scope |
Source |
Activities |
| Parametric Equations |
Comprehension |
Master |
School District of Washington. SG1. PS4-8. SG3. PS1-5. MA1-5. |
Classroom
|
|
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 |
School District of Washington. SG1. PS4-8. MA1-5. |
Classroom
|
|
Problem Solving: Analytic Geometry
The learner will be able to
solve problems using analytic geometry.
| Strand |
Bloom's |
Scope |
Source |
Activities |
| Problem Solving |
Application |
Master |
School District of Washington. SG1. PS4-8. SG3. PS1-8. MA1-5. |
Classroom
|
|
Problem Solving: Antiderivatives
The learner will be able to
solve problems using antiderivatives.
| Strand |
Bloom's |
Scope |
Source |
Activities |
| Problem Solving |
Application |
Master |
School District of Washington. SG1. PS4-8. SG3. PS1-8. MA1-5. |
Classroom
|
|
Problem Solving: Differentiation
The learner will be able to
solve problems by using concepts of differentiation.
| Strand |
Bloom's |
Scope |
Source |
Activities |
| Problem Solving |
Application |
Master |
School District of Washington. SG1. PS4-8. SG3. PS1-5. MA1-5. |
Classroom
|
|
Simpsons Rule: Algorithm
The learner will be able to
comprehend the algorithm used in Simpsons Rule.
| Strand |
Bloom's |
Scope |
Source |
Activities |
| Definite Integral |
Comprehension |
Master |
School District of Washington. SG1. PS4-8. MA1-5. |
Classroom
|
|
Functions: Notation
The learner will be able to
identify correct function notation.
| Strand |
Bloom's |
Scope |
Source |
Activities |
| Functions/Relations |
Knowledge |
Reinforce |
School District of Washington. SG1. PS5-8. MA1-5. |
Classroom
|
|
Functions: Represent/Learned
The learner will be able to
represent a function or relation using learned mathematical symbols.
| Strand |
Bloom's |
Scope |
Source |
Activities |
| Functions/Relations |
Comprehension |
Reinforce |
School District of Washington. SG1. PS4-8. MA1-5. |
Classroom
|
|
Functions: Behavior
The learner will be able to
understand the basic behavior of functions.
| Strand |
Bloom's |
Scope |
Source |
Activities |
| Functions/Relations |
Comprehension |
Reinforce |
School District of Washington. SG1. PS4-8. SG4. PS1. MA1-5. |
Classroom
|
|
Functions/Relations: Pattern
The learner will be able to
relate the characteristics of a function or relation.
| Strand |
Bloom's |
Scope |
Source |
Activities |
| Functions/Relations |
Comprehension |
Reinforce |
School District of Washington. SG1. PS4-8. SG4. PS1. MA1-5. |
Classroom
|
|
Functions: Graph
The learner will be able to
create graphs of functions.
| Strand |
Bloom's |
Scope |
Source |
Activities |
| Graphing Functions |
Application |
Reinforce |
School District of Washington. SG1. PS4-8. MA1-5. |
Classroom
|
|
Functions: Interpret
The learner will be able to
interpret functions.
| Strand |
Bloom's |
Scope |
Source |
Activities |
| Functions |
Analysis |
Reinforce |
School District of Washington. SG1. PS4-8. SG4. PS1. MA1-5. |
Classroom
|
|
Functions: Tables/Predict Output
The learner will be able to
predict output from input for a given function table.
| Strand |
Bloom's |
Scope |
Source |
Activities |
| Functions |
Analysis |
Reinforce |
School District of Washington. SG1. PS4-8. SG3. PS5. MA1-5. |
Classroom
|
|
Modeling: Real World
The learner will be able to
apply mathematical models to real world problem scenarios.
| Strand |
Bloom's |
Scope |
Source |
Activities |
| Mathematical Modeling |
Application |
Reinforce |
School District of Washington.SG4. PS1-8. MA1-3,5,6. |
Classroom
|
|
Mathematics as Communication
The learner will be able to
use speaking, writing, graphical forms, and physical models to communicate mathematics concepts.
| Strand |
Bloom's |
Scope |
Source |
Activities |
| Communication |
Application |
Reinforce |
School District of Washington. SG2. PS1-3. MA1-6. |
Classroom
|
|
Math as Reasoning: Apply
The learner will be able to
develop reasoning skills and become an independent mathematical thinker who is able to draw logical conclusions and make generalizations.
| Strand |
Bloom's |
Scope |
Source |
Activities |
| Reasoning |
Application |
Reinforce |
School District of Washington. SG4. PS1. MA1-5. |
Classroom
|
|
Math as Reasoning: Estimating Solutions
The learner will be able to
apply mathematical reasoning to estimate solutions to problems.
| Strand |
Bloom's |
Scope |
Source |
Activities |
| Reasoning |
Application |
Reinforce |
School District of Washington. SG4. PS1. MA1. |
Classroom
|
|
Math Concepts: Relating
The learner will be able to
associate mathematical ideas and/or skills with practical applications.
| Strand |
Bloom's |
Scope |
Source |
Activities |
| Mathematical Concepts |
Analysis |
Reinforce |
School District of Washington. SG1. PS10. MA1. |
Classroom
|
|
Mathematical Concepts: Using Technology
The learner will be able to
use technology to explore and interpret mathematical concepts.
| Strand |
Bloom's |
Scope |
Source |
Activities |
| Mathematical Concepts |
Application |
Reinforce |
School District of Washington. SG1. PS1-10. MA1-6. |
Classroom
|
|
Mathematical Connections: Apply
The learner will be able to
apply the concepts of one mathematical problem situation to extend understanding of another problem.
| Strand |
Bloom's |
Scope |
Source |
Activities |
| Connections |
Application |
Reinforce |
School District of Washington. SG3. PS1-7. MA1-6. |
Classroom
|
|
Ratios/Percents/Decimals/Fractions
The learner will be able to
write comparisons as ratios, percents, decimals, and fractions.
| Strand |
Bloom's |
Scope |
Source |
Activities |
| Ratio/Proportion |
Synthesis |
Reinforce |
School District of Washington. SG4. PS1. MA1-6. American College Test (ACT). |
Classroom
|
|
History
The learner will be able to
research mathematical theorists (Ex: Sir Isaac Newton).
| Strand |
Bloom's |
Scope |
Source |
Activities |
| Historical Development |
Comprehension |
Reinforce |
School District of Washington. SG4. PS1-8. MA1-6. SG3. PS2,6. MA1-6. |
Classroom
|
|
|
Perspective/Role in Society
|
Assessment Outcomes: Errors
The learner will be able to
attempt to use errors as learning experiences and apply new learning so as to not repeat errors.
| Strand |
Bloom's |
Scope |
Source |
Activities |
| Assessment Outcomes |
Analysis |
Reinforce |
School District of Washington. SG3. PS1-7. MA1-6. |
Classroom
|
|
Attitude: Appreciation
The learner will be able to
develop an appreciation for the value of mathematics.
| Strand |
Bloom's |
Scope |
Source |
Activities |
| Attitude/Perspective |
Synthesis |
Reinforce |
School District of Washington. SG1. PS1-10. MA1-6. |
Classroom
|
|
Attitude: Confidence
The learner will be able to
become confident in solving problems.
| Strand |
Bloom's |
Scope |
Source |
Activities |
| Attitude/Perspective |
Synthesis |
Reinforce |
School District of Washington. SG3. PS1-8. SG4. PS5. MA1-6. |
Classroom
|
|
Attitude: Mathematics/Language Arts
The learner will be able to
understand and appreciate that discussing, listening, reading, and writing are vital parts of learning and using mathematics.
| Strand |
Bloom's |
Scope |
Source |
Activities |
| Attitude/Perspective |
Comprehension |
Reinforce |
School District of Washington. SG2. PS1-3. MA1-6. |
Classroom
|
|
Learning Objective
The learner will be able to
learn to accept responsibility for his/her own learning in mathematics.
| Strand |
Bloom's |
Scope |
Source |
Activities |
| Learning Mathematics |
Application |
Reinforce |
School District of Washington. SG4. PS1-8. MA1-6. |
Classroom
|
|
Mathematical Perspective
The learner will be able to
understand mathematics as integral to the development of all cultures and civilizations.
| Strand |
Bloom's |
Scope |
Source |
Activities |
| Attitude/Perspective |
Comprehension |
Reinforce |
School District of Washington. SG4. PS1-8. MA1-6. |
Classroom
|
|
Mathematical Perspective
The learner will be able to
see mathematics as a connected whole as opposed to an isolated set of topics.
| Strand |
Bloom's |
Scope |
Source |
Activities |
| Attitude/Perspective |
Analysis |
Reinforce |
School District of Washington. SG1. PS1-10. MA1-6. |
Classroom
|
|
Mathematics: Careers/Proficiency
The learner will be able to
understand that many careers require proficiency in mathematics.
| Strand |
Bloom's |
Scope |
Source |
Activities |
| Careers |
Comprehension |
Reinforce |
School District of Washington. SG1. PS1-10. SG4. PS1-8. MA1-6. |
Classroom
|
|
Strategies
The learner will be able to
incorporate a variety of strategies to solve problems (brainstorming, creating models, drawing, guessing, checking, creating graphs, identifying patterns, finding similar problem/solution models, and working backward).
| Strand |
Bloom's |
Scope |
Source |
Activities |
| Strategies |
Synthesis |
Reinforce |
School District of Washington. SG3. PS1-8. MA1-6. American College Test (ACT). |
Classroom
|
|
Analyze Problems: Multiple Views
The learner will be able to
analyze problems from more than one point of view.
| Strand |
Bloom's |
Scope |
Source |
Activities |
| Analyzing Problems |
Analysis |
Reinforce |
School District of Washington. SG4. PS1-8. MA1-6. SG3. PS2,6. MA1-6. |
Classroom
|
|
|
Rational and Irrational Numbers
|
Irrational Numbers: Define Set
The learner will be able to
identify what constitutes the set of irrational numbers.
| Strand |
Bloom's |
Scope |
Source |
Activities |
| Irrational Numbers |
Knowledge |
Reinforce |
School District of Washington. SG1. PS4-8. SG2. PS1-6. MA1-6. |
Classroom
|
|
|
Real Numbers and the Coordinate Plane
|
Real Numbers: Components
The learner will be able to
recognize components of the real number system.
| Strand |
Bloom's |
Scope |
Source |
Activities |
| Real Numbers |
Knowledge |
Reinforce |
School District of Washington. SG2. PS1-6. MA1-6. American College Test (ACT). |
Classroom
|
|
Linear Equations/Inequalities: Solve
The learner will be able to
use concrete, informal, and formal methods for solving linear equations and inequalities.
| Strand |
Bloom's |
Scope |
Source |
Activities |
| Linear Equations/Inequalities |
Comprehension |
Reinforce |
School District of Washington. SG3. PS1-8. MA1-6. |
Classroom
|
|
Real Numbers: Define Set
The learner will be able to
identify what constitutes the set of real numbers.
| Strand |
Bloom's |
Scope |
Source |
Activities |
| Real Numbers |
Knowledge |
Reinforce |
School District of Washington. SG2. PS1-6. MA1-6. American College Test (ACT). |
Classroom
|
|
Computers and Calculators: Computation
The learner will be able to
use computers and graphing calculators in solving computation problems and analyzing functions.
| Strand |
Bloom's |
Scope |
Source |
Activities |
| Computers |
Comprehension |
Reinforce |
School District of Washington. SG1. PS4. MA1-6. |
Classroom
|
|
Periodic Phenomena: Trigonometric Ratios
The learner will be able to
apply an understanding of trigonometric ratios to explain periodic phenomena.
| Strand |
Bloom's |
Scope |
Source |
Activities |
| Periodic Phenomena |
Application |
Reinforce |
School District of Washington. SG4. PS1. MA1-6. |
Classroom
|
|
|
