The Correlation of

 

PLATO©

 

Curricula to

 

Arizona Academic Standards and Accountability

(AASA)

Mathematics Standard Articulated by Grade Level (Adopted 3.31.03)



May 5, 2004


PLATO© Correlation to the Arizona Academic Standards and Accountability


INTRODUCTION

 

PLATO Learning Inc. combines PLATO© computer-assisted instruction into a flexible integrated learning system to enhance instructional effectiveness in education programs. This document identifies PLATO instructional activities that correlate to the Arizona Academic Standards and Accountability, Mathematics Standard Articulated by Grade Level (Adopted 3.31.03), dated .URL: http://www.ade.state.az.us/standards/contentstandards.asp

It is recommended that instructors review the correlation in order to fine-tune the activity to fit their educational environment. Modules may be added or removed; Web sites and offline activities may also be incorporated to enhance the learning path.

The following PLATO courseware was used in this alignment:

Math Fundamentals
Math Problem Solving
Applied Math
Data Skills
Geometry and Measurement 1
Geometry and Measurement 2
Trigonometry
Calculus 1
Calculus 2
Algebra 1, Part 1
Algebra 1, Part 2
Algebra 2, Part 1
Algebra 2, Part 2
Quality Fundamentals



PLATO Learning, Inc. looks forward to supporting your initiatives in providing successful educational programs using PLATO© computer-based lessons.

Strand

Concept

Grade Level

Performance Objective

Section

Strand 1: Number Sense and Operations

Concept 1: Number Sense - Understand and apply numbers, ways of representing numbers, the relationships among numbers and different number systems.

Grade 9-12

PO 1. Classify real numbers as members of one or more subsets: natural, whole, integers, rational, or irrational numbers.

Algebra 1, Part 1
   ·Basic Number Ideas (Alg 1.1)
      ·Odd and Even Numbers (Alg 1.1)

 

 

 

 

      ·The Additive Inverse of Integers (Alg 1.1)

 

 

 

 

Algebra 1, Part 2
   ·Sets and Numbers (Alg 1.2)
      ·Additive Inverse of an Integer (Alg 1.2)

 

 

 

PO 2. Identify properties of the real number system: commutative, associative, distributive, identity, inverse, and closure.

Math Fundamentals
   ·Addition
      ·Addition Properties

 

 

 

 

   ·Multiplication
      ·Multiplication Properties 1

 

 

 

 

      ·Multiplication Properties 2

 

 

 

 

   ·Division
      ·Division Facts

 

 

 

 

Algebra 1, Part 1
   ·Basic Number Ideas (Alg 1.1)
      ·The Additive Inverse of Integers (Alg 1.1)

 

 

 

 

   ·Math Sentences (Alg 1.1)
      ·Linear Equations in 1 Variable: Isolating the Variable (Alg 1.1)

 

 

 

 

Algebra 1, Part 2
   ·Sets and Numbers (Alg 1.2)
      ·Additive Inverse of an Integer (Alg 1.2)

 

 

 

 

      ·Multiplicative Inverse of a Fraction (Alg 1.2)

 

 

 

 

      ·Review: Fractions and Sets (Alg 1.2)

 

 

 

 

   ·Polynomials and Factoring (Alg 1.2)
      ·Additive Inverse of a Monomial (Alg 1.2)

 

 

 

 

      ·Additive Inverse of a Binomial (Alg 1.2)

 

 

 

 

Algebra 2, Part 2
   ·Numbers and their Properties (Alg 2.2)
      ·Simplifying Algebraic Expressions (Alg 2.2)

 

 

 

PO 3. Distinguish between finite and infinite sets of numbers.

Algebra 1, Part 2
   ·Sets and Numbers (Alg 1.2)
      ·Basic Set Concepts: Elements in a Set (Alg 1.2)

 

 

 

 

      ·Basic Set Concepts: Finite or Infinite (Alg 1.2)

 

 

 

 

      ·Basic Set Concepts: Subsets (Alg 1.2)

 

 

 

 

      ·Basic Set Concepts: Roster and Set-builder Forms (Alg 1.2)

 

 

 

 

      ·Union of Sets (Alg 1.2)

 

 

 

 

      ·Intersection of Sets (Alg 1.2)

 

 

 

 

      ·Review: Fractions and Sets (Alg 1.2)

 

 

 

 

Algebra 2, Part 2
   ·Special Equations and Inequalities (Alg 2.2)
      ·Absolute Value, Inequalities, and Interval Notation (Alg 2.2)

 

Concept 2: Numerical Operations- Understand and apply numerical operations and their relationship to one another.

 

PO 1. Select the grade level appropriate operation to solve word problems.

Math Fundamentals
   ·Multiplication
      ·Problem Solving 2

 

 

 

 

   ·Division
      ·Problem Solving 3

 

 

 

 

   ·Fractions
      ·Problem Solving 4

 

 

 

 

   ·Decimals
      ·Problem Solving 5

 

 

 

 

   ·Ratio/Proportion/Percent
      ·Problem Solving 6

 

 

 

 

   ·Geometry and Measurement
      ·Problem Solving 7

 

 

 

 

Math Problem Solving
   ·Math Fundamentals
      ·Math Problem Solving: Building a Highway

 

 

 

 

      ·Math Problem Solving: Smart Shopping

 

 

 

 

      ·Math Problem Solving: Car Costs

 

 

 

 

      ·Math Problem Solving: Running a Business

 

 

 

PO 2. Solve word problems using grade level appropriate operations and numbers.

Math Fundamentals
   ·Multiplication
      ·Problem Solving 2

 

 

 

 

   ·Division
      ·Problem Solving 3

 

 

 

 

   ·Fractions
      ·Problem Solving 4

 

 

 

 

   ·Decimals
      ·Problem Solving 5

 

 

 

 

Math Problem Solving
   ·Math Fundamentals
      ·Math Problem Solving: Building a Highway

 

 

 

 

      ·Math Problem Solving: Smart Shopping

 

 

 

 

      ·Math Problem Solving: Car Costs

 

 

 

 

      ·Math Problem Solving: Running a Business

 

 

 

 

   ·Data Skills
      ·Math Problem Solving: Planning a Playground

 

 

 

 

      ·Math Problem Solving: Growing Lilies

 

 

 

 

   ·Beginning Algebra
      ·Math Problem Solving: Plan for Fishing Trip

 

 

 

 

      ·Math Problem Solving: Tunnel through Bald Mountain

 

 

 

 

   ·Intermediate Algebra
      ·Math Problem Solving: Video Rental

 

 

 

 

   ·Advanced Algebra
      ·Math Problem Solving: Building Boats

 

 

 

 

   ·Geometry and Measurement
      ·Math Problem Solving: Planning a Park

 

 

 

 

      ·Math Problem Solving: Shelf Space

 

 

 

 

   ·Probability and Statistics
      ·Math Problem Solving: The Fund Raiser

 

 

 

PO 3. Simplify numerical expressions including signed numbers and absolute values.

Algebra 1, Part 1
   ·Math Sentences (Alg 1.1)
      ·Order of Operations (Alg 1.1)

 

 

 

 

      ·Expressions in 2 or More Variables (Alg 1.1)

 

 

 

 

      ·Adding Monomials (Alg 1.1)

 

 

 

 

      ·Subtracting Monomials (Alg 1.1)

 

 

 

 

      ·Adding Binomials and Monomials (Alg 1.1)

 

 

 

 

      ·Subtracting Binomials and Monomials (Alg 1.1)

 

 

 

 

Algebra 1, Part 2
   ·Polynomials and Factoring (Alg 1.2)
      ·Polynomial Sum (Alg 1.2)

 

 

 

 

      ·Polynomial Difference (Alg 1.2)

 

 

 

 

      ·Simplifying Polynomial Expressions (Alg 1.2)

 

 

 

 

   ·Equations and Inequalities (Alg 1.2)
      ·Absolute Value of a Number (Alg 1.2)

 

 

 

 

      ·Equations with Absolute Values (Alg 1.2)

 

 

 

 

      ·Review: Equations and Inequalities (Alg 1.2)

 

 

 

 

Algebra 2, Part 2
   ·Numbers and their Properties (Alg 2.2)
      ·Simplifying Algebraic Expressions (Alg 2.2)

 

 

 

 

   ·Special Equations and Inequalities (Alg 2.2)
      ·Evaluating Expressions with Absolute Value (Alg 2.2)

 

 

 

 

      ·Absolute Value, Inequalities, and Interval Notation (Alg 2.2)

 

 

 

PO 4. Apply subscripts to represent ordinal position.

PLATO Modules are not available for this learning expectation.

 

 

 

PO 5. Use grade level appropriate mathematical terminology.

Algebra 1, Part 1
   ·Basic Number Ideas (Alg 1.1)
      ·Using Basic Number Ideas (Alg 1.1)

 

 

 

 

   ·Math Sentences (Alg 1.1)
      ·Expressions in 1 Variable (Alg 1.1)

 

 

 

PO 6. Compute using scientific notation.

Algebra 2, Part 2
   ·Numbers and their Properties (Alg 2.2)
      ·Scientific Notation (Alg 2.2)

 

 

 

PO 7. Simplify numerical expressions using the order of operations.

Algebra 1, Part 1
   ·Math Sentences (Alg 1.1)
      ·Order of Operations (Alg 1.1)

 

 

 

 

      ·Expressions in 2 or More Variables (Alg 1.1)

 

Concept 3: Estimation- Use estimation strategies reasonably and fluently.

 

PO 1. Solve grade level appropriate problems using estimation.

Math Problem Solving
   ·Math Fundamentals
      ·Math Problem Solving: Building a Highway

 

 

 

 

      ·Math Problem Solving: Running a Business

 

 

 

 

   ·Data Skills
      ·Math Problem Solving: Planning a Playground

 

 

 

 

      ·Math Problem Solving: Growing Lilies

 

 

 

 

   ·Beginning Algebra
      ·Math Problem Solving: Plan for Fishing Trip

 

 

 

 

      ·Math Problem Solving: Tunnel through Bald Mountain

 

 

 

 

   ·Intermediate Algebra
      ·Math Problem Solving: Running a Race

 

 

 

 

   ·Advanced Algebra
      ·Math Problem Solving: Car Rental

 

 

 

 

      ·Math Problem Solving: Building Boats

 

 

 

 

      ·Math Problem Solving: Saving the Birds

 

 

 

 

   ·Geometry and Measurement
      ·Math Problem Solving: Planning a Park

 

 

 

 

      ·Math Problem Solving: Shelf Space

 

 

 

 

   ·Probability and Statistics
      ·Math Problem Solving: The Fund Raiser

 

 

 

 

      ·Math Problem Solving: Making the Grade

 

 

 

 

      ·Math Problem Solving: Statistics for Quality

 

 

 

 

Applied Math
   ·Applied Math
      ·Estimating

 

 

 

 

Algebra 1, Part 1
   ·Basic Number Ideas (Alg 1.1)
      ·Using Basic Number Ideas (Alg 1.1)

 

 

 

 

      ·Mental Math with Whole Numbers and Decimals (Alg 1.1)

 

 

 

 

   ·Special Topics (Alg 1.1)
      ·Estimation Basics (Alg 1.1)

 

 

 

 

      ·Estimation by Clustering (Alg 1.1)

 

 

 

PO 2. Determine if a solution to a problem is reasonable.

Algebra 1, Part 1
   ·Basic Number Ideas (Alg 1.1)
      ·Using Basic Number Ideas (Alg 1.1)

 

 

 

 

   ·Special Topics (Alg 1.1)
      ·Estimation Basics (Alg 1.1)

 

 

 

PO 3. Determine rational approximations of irrational numbers.

Algebra 1, Part 1
   ·Basic Number Ideas (Alg 1.1)
      ·Square Roots of Imperfect Squares (Alg 1.1)

 

 

 

 

Algebra 1, Part 2
   ·Sets and Numbers (Alg 1.2)
      ·Review: Exponents and Radicals (Alg 1.2)

Strand 2: Data Analysis, Probability, and Discrete Mathematics

Concept 1: Data Analysis (Statistics) - Understand and apply data collection, organization and representation to analyze and sort

 

PO 1. Distinguish between causation and correlation.

Quality Fundamentals
   ·Charting and Graphing
      ·Interpreting Scatter Diagrams

 

 

 

PO 10. Apply the concepts of mean, median, mode, range, and quartiles to summarize data sets.

Math Problem Solving
   ·Data Skills
      ·Math Problem Solving: Growing Lilies

 

 

 

 

   ·Probability and Statistics
      ·Math Problem Solving: Making the Grade

 

 

 

 

      ·Math Problem Solving: Statistics for Quality

 

 

 

 

Algebra 1, Part 1
   ·Special Topics (Alg 1.1)
      ·Mean, Median, and Mode (Alg 1.1)

 

 

 

 

      ·Solving Problems with Mean, Median, and Mode (Alg 1.1)

 

 

 

 

Quality Fundamentals
   ·Charting and Graphing
      ·Basic Statistics

 

 

 

PO 11. Evaluate the reasonableness of conclusions drawn from data analysis.

Math Problem Solving
   ·Data Skills
      ·Math Problem Solving: Planning a Playground

 

 

 

 

      ·Math Problem Solving: Growing Lilies

 

 

 

 

   ·Advanced Algebra
      ·Math Problem Solving: Saving the Birds

 

 

 

 

   ·Probability and Statistics
      ·Math Problem Solving: Making the Grade

 

 

 

 

      ·Math Problem Solving: Statistics for Quality

 

 

 

PO 12. Recognize and explain the impact of interpreting data (making inferences or drawing conclusions) from a biased sample.

Math Problem Solving
   ·Data Skills
      ·Math Problem Solving: Planning a Playground

 

 

 

 

      ·Math Problem Solving: Growing Lilies

 

 

 

 

   ·Advanced Algebra
      ·Math Problem Solving: Saving the Birds

 

 

 

 

   ·Probability and Statistics
      ·Math Problem Solving: Making the Grade

 

 

 

 

      ·Math Problem Solving: Statistics for Quality

 

 

 

 

Data Skills
   ·Reading Graphical Data
      ·Reading Line Graphs

 

 

 

 

      ·Reading Bar Graphs

 

 

 

PO 13. Draw a line of best fit for a scatter plot.

Math Problem Solving
   ·Beginning Algebra
      ·Math Problem Solving: Tunnel through Bald Mountain

 

 

 

 

   ·Advanced Algebra
      ·Math Problem Solving: Saving the Birds

 

 

 

 

Algebra 1, Part 1
   ·Introduction to Functions (Alg 1.1)
      ·Describing Functions with Equations, Tables, and Graphs (Alg 1.1)

 

 

 

PO 14. Determine whether a displayed data has positive, negative, or no correlation.

Quality Fundamentals
   ·Charting and Graphing
      ·Interpreting Scatter Diagrams

 

 

 

PO 15. Identify a normal distribution.

Quality Fundamentals
   ·Charting and Graphing
      ·Basic Statistics

 

 

 

PO 16. Identify differences between sampling and census.

Math Problem Solving
   ·Data Skills
      ·Math Problem Solving: Growing Lilies

 

 

 

PO 17. Identify differences between biased and unbiased samples.

Math Problem Solving
   ·Probability and Statistics
      ·Math Problem Solving: Statistics for Quality

 

 

 

 

Data Skills
   ·Reading Graphical Data
      ·Reading Line Graphs

 

 

 

 

      ·Reading Bar Graphs

 

 

 

PO 2. Organize collected data into an appropriate graphical representation.

Math Problem Solving
   ·Data Skills
      ·Math Problem Solving: Planning a Playground

 

 

 

 

      ·Math Problem Solving: Growing Lilies

 

 

 

 

   ·Beginning Algebra
      ·Math Problem Solving: Tunnel through Bald Mountain

 

 

 

 

   ·Advanced Algebra
      ·Math Problem Solving: Saving the Birds

 

 

 

 

   ·Probability and Statistics
      ·Math Problem Solving: Making the Grade

 

 

 

 

Data Skills
   ·Computing Graphical Data
      ·Tables

 

 

 

 

   ·Constructing Graphs and Charts
      ·Constructing Line Graphs

 

 

 

 

      ·Constructing Pie Charts

 

 

 

 

      ·Constructing Bar Graphs

 

 

 

 

      ·Constructing Histograms

 

 

 

 

      ·Selecting Graphs and Charts

 

 

 

PO 3. Display data as lists, tables, matrices, and plots.

Algebra 2, Part 1
   ·Linear Systems of Equations and Inequalities (Alg 2.1)
      ·Solving Linear Systems of Equations: Matrices 1 (Alg 2.1)

 

 

 

PO 4. Construct equivalent displays of the same data.

Math Problem Solving
   ·Data Skills
      ·Math Problem Solving: Planning a Playground

 

 

 

 

   ·Advanced Algebra
      ·Math Problem Solving: Saving the Birds

 

 

 

 

Data Skills
   ·Constructing Graphs and Charts
      ·Selecting Graphs and Charts

 

 

 

PO 5. Identify graphic misrepresentations and distortions of sets of data.

Math Problem Solving
   ·Probability and Statistics
      ·Math Problem Solving: Statistics for Quality

 

 

 

 

Data Skills
   ·Reading Graphical Data
      ·Reading Line Graphs

 

 

 

 

      ·Reading Bar Graphs

 

 

 

PO 6. Identify which of the measures of central tendency is most appropriate in a given situation.

Math Problem Solving
   ·Data Skills
      ·Math Problem Solving: Growing Lilies

 

 

 

 

   ·Probability and Statistics
      ·Math Problem Solving: Making the Grade

 

 

 

 

Algebra 1, Part 1
   ·Special Topics (Alg 1.1)
      ·Mean, Median, and Mode (Alg 1.1)

 

 

 

 

      ·Solving Problems with Mean, Median, and Mode (Alg 1.1)

 

 

 

 

Quality Fundamentals
   ·Charting and Graphing
      ·Basic Statistics

 

 

 

PO 7. Make reasonable predictions based upon linear patterns in data sets or scatter plots.

Math Problem Solving
   ·Data Skills
      ·Math Problem Solving: Planning a Playground

 

 

 

 

      ·Math Problem Solving: Growing Lilies

 

 

 

 

   ·Beginning Algebra
      ·Math Problem Solving: Bean-Counting

 

 

 

 

   ·Intermediate Algebra
      ·Math Problem Solving: Video Rental

 

 

 

 

   ·Advanced Algebra
      ·Math Problem Solving: Saving the Birds

 

 

 

 

   ·Probability and Statistics
      ·Math Problem Solving: Making the Grade

 

 

 

 

      ·Math Problem Solving: Statistics for Quality

 

 

 

PO 8. Make reasonable predictions for a set of data, based on patterns.

Math Problem Solving
   ·Data Skills
      ·Math Problem Solving: Planning a Playground

 

 

 

 

      ·Math Problem Solving: Growing Lilies

 

 

 

 

   ·Beginning Algebra
      ·Math Problem Solving: Bean-Counting

 

 

 

 

   ·Intermediate Algebra
      ·Math Problem Solving: Video Rental

 

 

 

 

   ·Advanced Algebra
      ·Math Problem Solving: Saving the Birds

 

 

 

 

   ·Probability and Statistics
      ·Math Problem Solving: Making the Grade

 

 

 

 

      ·Math Problem Solving: Statistics for Quality

 

 

 

PO 9. Draw inferences from charts, tables, graphs, plots, or data sets.

Math Problem Solving
   ·Data Skills
      ·Math Problem Solving: Planning a Playground

 

 

 

 

      ·Math Problem Solving: Growing Lilies

 

 

 

 

   ·Beginning Algebra
      ·Math Problem Solving: Bean-Counting

 

 

 

 

   ·Intermediate Algebra
      ·Math Problem Solving: Video Rental

 

 

 

 

   ·Advanced Algebra
      ·Math Problem Solving: Saving the Birds

 

 

 

 

   ·Probability and Statistics
      ·Math Problem Solving: Making the Grade

 

 

 

 

      ·Math Problem Solving: Statistics for Quality

 

 

 

 

Data Skills
   ·Reading Graphical Data
      ·Reading Pie Charts

 

 

 

 

      ·Introduction to Line Graphs

 

 

 

 

      ·Reading Line Graphs

 

 

 

 

      ·Introduction to Bar Graphs

 

 

 

 

      ·Reading Bar Graphs

 

 

 

 

      ·Introduction to Data in Tables

 

 

 

 

      ·Reading Data in Tables

 

 

 

 

      ·Introduction to Flowcharts

 

 

 

 

   ·Computing Graphical Data
      ·Graphing and Charting

 

 

 

 

      ·Tables

 

 

 

 

      ·Using Pictographs

 

 

 

 

      ·Using Line Graphs

 

 

 

 

      ·Using Bar Graphs