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Credits
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Mission Statement
Introduction
Other Inclusions


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School District of Washington
MATHEMATICS CURRICULUM 2000
Mathematics - Contemporary Mathematics

Algebraic Concepts

Algorithms
The learner will be able to understand and apply algorithms as found in discrete mathematics to solve problems.
Strand Bloom's Scope Source Activities
Algorithms Application Master School District of Washington. SG3. PS1-8. MA,3,4,6. Classroom
  
Algorithms: Apply
The learner will be able to use algorithms to determine minimal spanning trees and/or shortest paths in weighted graphs.
Strand Bloom's Scope Source Activities
Algorithms   Master School District of Washington. SG3. PS1-8. MA,3,4,6. Classroom
  
Algorithms: Create
The learner will be able to create algorithms to solve problems.
Strand Bloom's Scope Source Activities
Algorithms Synthesis Master School District of Washington. SG3. PS1-8. MA,3,4,6. Classroom
  
Algorithms: Real World Problems
The learner will be able to manipulate algorithms as models in solving real world problems.
Strand Bloom's Scope Source Activities
Algorithms Application Master School District of Washington. SG3. PS1-8. MA,3,4,6. Classroom
  
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Calculus and Pre-Calculus

Conic Sections: Define
The learner will be able to define the conic sections (circle, ellipse, parabola, and hyperbola) as the intersection of a plane and a conic surface.
Strand Bloom's Scope Source Activities
Conic Sections Knowledge Reinforce School District of Washington. SG3. PS1-8. MA3,4,6. SG3. Classroom
  
Conic Sections: Model
The learner will be able to apply conic sections, their attributes, and/or parametric representations to model various scenarios.
Strand Bloom's Scope Source Activities
Conic Sections   Master School District of Washington. SG3. PS1-8. MA3,4,6. Classroom
  
Conic Sections: Recognize Applications
The learner will be able to apply Kepler's First Law.
Strand Bloom's Scope Source Activities
Conic Sections Application Master School District of Washington. SG3. PS1-8. MA3,4,6. Classroom
  
Graph Theory: Develop Algorithms
The learner will be able to traverse graphs by creating algorithms to determine the most efficient route.
Strand Bloom's Scope Source Activities
Graph Theory/Networks Application Master School District of Washington. SG3. PS1-8. MA3,4,6. Classroom
  
Graph Theory: Explore/Solve
The learner will be able to investigate and solve application problems that involve graph theory.
Strand Bloom's Scope Source Activities
Graph Theory/Networks Application Master School District of Washington. SG3. PS1-8. MA3,4,6. Classroom
  
Graph Theory: Problem Solving
The learner will be able to solve real-world and mathematical problems by applying concepts of graph theory.
Strand Bloom's Scope Source Activities
Graph Theory/Networks Application Master School District of Washington. SG3. PS1-8. MA3,4,6. Classroom
  
Graph Theory: vertices/Edges
The learner will be able to apply graph theory by representing a problem as edges and vertices in order to solve it.
Strand Bloom's Scope Source Activities
Graph Theory/Networks Application Master School District of Washington. SG3. PS1-8. MA3,4,6. Classroom
  
Graph Theory/Networks
The learner will be able to study networks including road systems, pipelines, and airline routes through the use of graphs as models.
Strand Bloom's Scope Source Activities
Graph Theory/Networks   Master School District of Washington. SG3. PS1-8. MA3,4,6 Classroom
  
Graph Theory/Networks
The learner will be able to define, apply, and differentiate the ideas of Eulerian path, Eulerian circuit, Hamiltonian path, Hamiltonian circuit, and isomorphism.
Strand Bloom's Scope Source Activities
Graph Theory/Networks   Master School District of Washington. SG3. PS1-8. MA3,4,6 Classroom
  
Linear Programming
The learner will be able to determine the minimum and maximum values of a function over a certain region by using the corner point theorem.
Strand Bloom's Scope Source Activities
Linear Programming Application Master School District of Washington. SG3. PS1-8. MA3,4,6. Classroom
  
Linear Programming
The learner will be able to understand, within a certain linear programming mode, the objective function, constraints, and nonnegativity requirement.
Strand Bloom's Scope Source Activities
Linear Programming Comprehension Master School District of Washington. SG3. PS1-8. MA3,4,6. Classroom
  
Linear Programming: Describing
The learner will be able to describe the meaning of the vertices of the resulting polygonal region when performing linear programming.
Strand Bloom's Scope Source Activities
Linear Programming Comprehension Master School District of Washington. SG3. PS1-8. MA3,4,6. Classroom
  
Linear Programming: Modeling
The learner will be able to demonstrate an understanding of mathematical modeling by graphing the area of feasible solutions, values of variables that optimize, and constraints (identifying both convex and maxima and minima points).
Strand Bloom's Scope Source Activities
Linear Programming Comprehension Master School District of Washington. SG3. PS1-8. MA3,4,6. Classroom
  
Linear Programming: Problem Solving
The learner will be able to understand the variety of real-world settings in which linear programming problems occur.
Strand Bloom's Scope Source Activities
Linear Programming Application, Analysis Master School District of Washington. SG3. PS1-8. MA3,4,6. Classroom
  
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Data Interpretation

Graphs: Box and Whisker Graphs
The learner will be able to construct a box and whiskers graph by ordering data, identifying the median, quartiles, and extremes.
Strand Bloom's Scope Source Activities
Graphing Comprehension Master School District of Washington. SG3. PS1-8. MA,3,4,6. Classroom
  
Scatterplots
The learner will be able to organize and present data in a scatterplot.
Strand Bloom's Scope Source Activities
Scatterplots Comprehension Master School District of Washington. SG3. PS1-8. MA,3,4,6. Classroom
  
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Discrete Mathematics

Discrete Math: Connections
The learner will be able to understand the relationship of scheduling problems and bin packing problems.
Strand Bloom's Scope Source Activities
Discrete Mathematics Comprehension Master School District of Washington(a). SG3. PS1-8. MA3,4,6. Classroom
  
Discrete Mathematics: Finite Graphs
The learner will be able to apply finite graphs to illustrate and interpret data.
Strand Bloom's Scope Source Activities
Discrete Mathematics Application Master School District of Washington. SG3. PS1-8. MA3-6. Classroom
  
Discrete Math: Model
The learner will be able to model bin packing problems and know the six heuristic algorithms for bin packing.
Strand Bloom's Scope Source Activities
Discrete Mathematics Application Master School District of Washington(a). SG3. PS1-8. MA3-6. Classroom
  
Discrete Math: Problem Solving
The learner will be able to obtain problem solutions through the application of enumeration procedures.
Strand Bloom's Scope Source Activities
Discrete Mathematics Application Master School District of Washington. SG3. PS1-8. MA3-6. Classroom
  
Discrete Math: Scheduling
The learner will be able to use the list processing algorithm to schedule tasks on identical processors.
Strand Bloom's Scope Source Activities
Discrete Mathematics Application Master School District of Washington. SG3. PS1-8. MA6. Classroom
  
Game Theory: Expected Value
The learner will be able to compute the expected value of a player in a game which has only two pure strategies.
Strand Bloom's Scope Source Activities
Discrete Mathematics Knowledge Master School District of Washington(a). SG3. PS1-8. MA3,4,6. Classroom
  
Game Theory: Saddle Point
The learner will be able to find the saddle point by means of the minimax technique.
Strand Bloom's Scope Source Activities
Discrete Mathematics Application Master School District of Washington(a). SG3. PS1-8. MA3,4,6. Classroom
  
Graph Models
The learner will be able to use graph models to represent simple problems in operations research.
Strand Bloom's Scope Source Activities
Discrete Mathematics Application Master School District of Washington(a). SG3. PS1-8. MA3-6. Classroom
  
Graph Models: valiance
The learner will be able to find valances of vertices of a graph.
Strand Bloom's Scope Source Activities
Discrete Mathematics Knowledge Master School District of Washington(a). SG3. PS1-8. MA3-6. Classroom
  
Recursion: Apply Concept
The learner will be able to apply the idea of recursion in mathematics to obtain solutions to application problems.
Strand Bloom's Scope Source Activities
Recursion Application Master School District of Washington. SG3. PS1-8. MA3-6. Classroom
  
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Geometry

Congruence: Justify/Solve
The learner will be able to use the idea of congruence to verify properties of figures and/or obtain problem solutions.
Strand Bloom's Scope Source Activities
Congruence Synthesis Master School District of Washington. SG3. PS1-8. MA,2,3,4,6. Classroom
  
Geometry: Exponential Growth
The learner will be able to apply the concept of geometric exponential growth.
Strand Bloom's Scope Source Activities
Geometric Patterns Application Master School District of Washington. SG3. PS1-8. MA,2,3,4,6. Classroom
  
Geometry: Parallel Postulate
The learner will be able to apply the parallel postulate.
Strand Bloom's Scope Source Activities
Geometric Concepts Application Master School District of Washington(a). SG3. PS1-8. MA,2,3,4,6. Classroom
  
Geometry: Population Pyramid
The learner will be able to apply the concept of population pyramid.
Strand Bloom's Scope Source Activities
Geometric Concepts Application Master School District of Washington. SG3. PS1-8. MA,2,3,4,6. Classroom
  
Geometry: Tiling
The learner will be able to understand the concept of tiling with regular polygons.
Strand Bloom's Scope Source Activities
Tessellations Comprehension Master School District of Washington.. SG3. PS1-8. MA,2,3,4,6. Classroom
  
Pythagorean Theorem: Analyze
The learner will be able to identify situations requiring the Pythagorean theorem, and analyze how and why the theorem is used.
Strand Bloom's Scope Source Activities
Pythagorean Theorem Analysis Master School District of Washington. SG3. PS1-8. MA,2,3,4,6. Classroom
  
Pythagorean Theorem: Apply
The learner will be able to use the Pythagorean theorem, and the theorem's converse, to solve real-world scenario problems involving right triangles.
Strand Bloom's Scope Source Activities
Pythagorean Theorem Application Master School District of Washington. SG3. PS1-8. MA,2,3,4,6. Classroom
  
Similarity: Define
The learner will be able to apply critical characteristics in defining similarity.
Strand Bloom's Scope Source Activities
Similarity Comprehension Master School District of Washington. SG3. PS1-8. MA,2,3,4,6. Classroom
  
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Mathematics Processes

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. MA3,4,6. 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. MA3,4,6. Classroom
  
Math Concepts: Fractals
The learner will be able to build fractals by applying a recursive method and/or use a computer/calculator when necessary.
Strand Bloom's Scope Source Activities
Mathematical Concepts   Master School District of Washington. SG3. PS1-8. MA3,4,6. Classroom
  
Math Concepts: Fractals
The learner will be able to describe and/or relate the attributes and/or characteristics of fractals.
Strand Bloom's Scope Source Activities
Mathematical Concepts Analysis Master School District of Washington. SG2. PS1-3. MA3,4,6. 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. MA3,4,6.. 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. MA3,4,6. 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. PS4. MA3,4,6. 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. MA3,4,6. Classroom
  
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Measurement

Geometry: Scaling Factor
The learner will be able to understand how surface area and volume depend upon the scaling factor.
Strand Bloom's Scope Source Activities
Surface Area Comprehension Master School District of Washington. SG3. PS1-8. MA2,3,4,6. Classroom
  
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Numeration

Patterns: Geometric Change/Fractals
The learner will be able to make descriptions, study, and/or continue patterns that are formed by geometric changes, including fractals.
Strand Bloom's Scope Source Activities
Patterns: Involving Change Application Master School District of Washington. SG1. PS4-8. MA3,4,6. Classroom
  
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Perspective/Role in Society

Mathematics of Social Choice
The learner will be able to understand and apply concepts of mathematics of social choice in solving real-world problems.
Strand Bloom's Scope Source Activities
Mathematics of Social Choice   Master School District of Washington. SG3. PS1-8. MA3,4,6 Classroom
  
Social Choice: Election Theory
The learner will be able to appreciate the nature of Arrow's Impossibility Theorem.
Strand Bloom's Scope Source Activities
Mathematics of Social Choice Analysis Master School District of Washington(a). SG3. PS1-8. MA3,4,6. Classroom
  
Social Choice: Election Theory/Outcome
The learner will be able to find the outcome of a given election by applying techniques of election theory.
Strand Bloom's Scope Source Activities
Mathematics of Social Choice Application Master School District of Washington. SG3. PS1-8. MA3,4,6 Classroom
  
Social Choice: Election/Evaluate
The learner will be able to evaluate election methods with respect to their fairness.
Strand Bloom's Scope Source Activities
Mathematics of Social Choice Evaluation Master School District of Washington. SG3. PS1-8. MA3,4,6 Classroom
  
Social Choice: Fair Division Methods
The learner will be able to develop methods to divide continuous objects fairly.
Strand Bloom's Scope Source Activities
Mathematics of Social Choice   Master School District of Washington. SG3. PS1-8. MA3,4,6 Classroom
  
Social Choice: Fair Division/Apportion
The learner will be able to solve real-world problems which involve apportionment by applying methods of fair division.
Strand Bloom's Scope Source Activities
Mathematics of Social Choice Application Master School District of Washington. SG3. PS1-8. MA3,4,6 Classroom
  
Social Choice: Fair Division/Estate
The learner will be able to divide the assets of an estate using methods of fair division including the Estate Division Algorithm.
Strand Bloom's Scope Source Activities
Mathematics of Social Choice Application Master School District of Washington. SG3. PS1-8. MA3,4,6. Classroom
  
Social Choice: Weighted Voting Methods
The learner will be able to find the voting power within a group by applying weighted voting methods.
Strand Bloom's Scope Source Activities
Mathematics of Social Choice Application Master School District of Washington. SG3. PS1-8. MA3,4,6. Classroom
  
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
  
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Probability/Statistics

Data Analysis: Probability/Statistics
The learner will be able to use experiences in collecting, organizing, interpreting, and analyzing statistical data and applying probability concepts to make predictions about and evaluate a given situation.
Strand Bloom's Scope Source Activities
Data Analysis   Master School District of Washington. SG3. PS1-8. MA3,4,6. Classroom
  
Data Manipulation: Codes
The learner will be able to use simple codes to reveal and conceal information.
Strand Bloom's Scope Source Activities
Data Application Master School District of Washington. SG3. PS1-8. MA3,4,6. Classroom
  
Discrete Mathematics: Analyzing
The learner will be able to analyze and apply the following concepts of discrete mathematics: recurrence relations, iterations, and induction.
Strand Bloom's Scope Source Activities
Discrete/Continuous Data   Master School District of Washington. SG3. PS1-8. MA3,4,6. Classroom
  
Discrete Mathematics: Applying
The learner will be able to apply discrete mathematics concepts to model, analyze, and solve problems.
Strand Bloom's Scope Source Activities
Discrete/Continuous Data   Master School District of Washington. SG3. PS1-8. MA3,4,6. Classroom
  
Discrete Mathematics: Applying
The learner will be able to identify common discrete mathematical models, explore their properties and design them for specific situations.
Strand Bloom's Scope Source Activities
Discrete/Continuous Data   Master School District of Washington. SG3. PS1-8. MA3,4,6. Classroom
  
Discrete Mathematics: Applying
The learner will be able to apply discrete mathematics to problem situations involving voting, apportionment, and allocations, and use fundamental strategies of optimization to solve problems.
Strand Bloom's Scope Source Activities
Discrete/Continuous Data   Master School District of Washington. SG3. PS1-8. MA3,4,6. Classroom
  
Discrete Mathematics: Applying
The learner will be able to apply discrete mathematics to store, process and communicate information.
Strand Bloom's Scope Source Activities
Discrete/Continuous Data   Master School District of Washington. SG3. PS1-8. MA3,4,6. Classroom
  
Discrete Mathematics: Finite Differences
The learner will be able to solve real-world and mathematical problems by applying concepts of finite differences.
Strand Bloom's Scope Source Activities
Discrete/Continuous Data   Master School District of Washington. SG3. PS1-8. MA3,4,6. Classroom
  
Discrete Mathematics: Iterative Process
The learner will be able to analyze iterative processes with calculators and computers when appropriate.
Strand Bloom's Scope Source Activities
Discrete/Continuous Data   Master School District of Washington. SG3. PS1-8. MA3,4,6. Classroom
  
Discrete Mathematics: Networks/Create
The learner will be able to create networks.
Strand Bloom's Scope Source Activities
Discrete/Continuous Data Application Master School District of Washington. SG3. PS1-8. MA3,4,6. Classroom
  
Discrete Mathematics: Recursive/Problems
The learner will be able to solve real-world and mathematical problems by applying recursive thinking and techniques.
Strand Bloom's Scope Source Activities
Discrete/Continuous Data   Master School District of Washington. SG3. PS1-8. MA3,4,6. Classroom
  
Frequency Distributions: Histogram
The learner will be able to create a histogram to show the frequency distributions of data.
Strand Bloom's Scope Source Activities
Frequency Application Master School District of Washington. SG3. PS1-8. MA3,4,6. Classroom
  
Game Theory
The learner will be able to create and apply tree diagrams to solve graph theory problems.
Strand Bloom's Scope Source Activities
Game Theory   Master School District of Washington. SG3. PS1-8. MA3,4,6. Classroom
  
Game Theory: Problem Solving
The learner will be able to understand and apply game theory in solving real-world problems.
Strand Bloom's Scope Source Activities
Game Theory   Master School District of Washington. SG3. PS1-8. MA3,4,6. Classroom
  
Mean and Median
The learner will be able to calculate mean and median.
Strand Bloom's Scope Source Activities
Average/Median/Mode/Range Knowledge Master School District of Washington. SG3. PS1-8. MA3,4,6. Classroom
  
Mean/Median: Calculate/Compare
The learner will be able to calculate the mean, interpret it, explain its sensitivity to extremes, and explain its use in comparison with the median.
Strand Bloom's Scope Source Activities
Average/Median/Mode/Range   Master School District of Washington. SG3. PS1-8. MA3,4,6. Classroom
  
Probability
The learner will be able to apply theoretical or experimental experiences to find basic probability measures.
Strand Bloom's Scope Source Activities
Probability   Master School District of Washington. SG3. PS1-8. MA3,4,6. Classroom
  
Probability Distribution: Normal Curve
The learner will be able to apply the attributes of the normal curve in finding answers to questions relating data points to the mean and standard deviation.
Strand Bloom's Scope Source Activities
Probability Distribution   Master School District of Washington. SG3. PS1-8. MA3,4,6. Classroom
  
Probability Distributions: Normal Curve
The learner will be able to interpret a normal distribution curve using the 68-95-99.7 rule to compute normal probabilities.
Strand Bloom's Scope Source Activities
Probability Distribution Analysis Master School District of Washington. SG3. PS1-8. MA3,4,6. Classroom
  
Quartiles: Calculate
The learner will be able to calculate the extremes, quartiles, 5-number summary and range for a given set of data.
Strand Bloom's Scope Source Activities
Probability Distribution Comprehension Master School District of Washington. SG3. PS1-8. MA3,4,6. Classroom
  
Random Variables: Explain
The learner will be able to relate the idea of random variable to others, and/or use the idea to create and/or study various probability distributions.
Strand Bloom's Scope Source Activities
Randomness   Master School District of Washington. SG3. PS1-8. MA3,4,6. Classroom
  
Sampling: Random/Systemic
The learner will be able to correctly use both random and systemic sampling procedures in determining a population, using technology when necessary.
Strand Bloom's Scope Source Activities
Sampling Application Master School District of Washington. SG3. PS1-8. MA3,4,6. Classroom
  
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Problem Solving

Problem Solving: Codes
The learner will be able to identify codes of various types, and use decoding methods.
Strand Bloom's Scope Source Activities
Problem Solving Application Master School District of Washington. SG3. PS1-8. MA3,4,6. Classroom
  
Problem Solving: Codes
The learner will be able to understand the Hamming code.
Strand Bloom's Scope Source Activities
Problem Solving Comprehension Master School District of Washington. SG3. PS1-8. MA,3,4,5,6. Classroom
  
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Real Numbers and the Coordinate Plane

Graphing: Linear Equations
The learner will be able to make graphs of linear equations using the Cartesian coordinate system and tables for coordinate values.
Strand Bloom's Scope Source Activities
Graphing   Master School District of Washington. SG3. PS1-8. MA,3,4,6. Classroom
  
Linear Equations/Inequalities: Exploring
The learner will be able to explore how the graphs of linear equations and inequalities are related to real-world problems by applying graphing concepts.
Strand Bloom's Scope Source Activities
Linear Equations/Inequalities   Master School District of Washington. SG3. PS1-8. MA,3,4,6. Classroom
  
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Technology

Exploring: Fractals/Technology
The learner will be able to use technology to explore fractals.
Strand Bloom's Scope Source Activities
Exploring   Master School District of Washington. SG3. PS1-8. MA3,4,6. Classroom
  
Technology as a Tool: Computer Graphics
The learner will be able to make computer generated graphics using functions and fractals which relates geometric principles to computer commands.
Strand Bloom's Scope Source Activities
Technology as a Tool   Master School District of Washington. SG3. PS1-8. MA3,4,6. Classroom
  
Technology: Graphics
The learner will be able to recognize and apply the spline curve.
Strand Bloom's Scope Source Activities
Computers Knowledge, Application Master School District of Washington. SG3. PS1-8. MA3,4,6. Classroom
  
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