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
Math Expeditions G
Math Expeditions H
Math Expeditions I
Algebra 1, Part 1



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 7

PO 1. Express fractions as terminating or repeating decimals.

PLATO Modules are not available for this learning expectation.

 

 

 

PO 2. Identify the greatest common factor for a set of whole numbers.

PLATO Modules are not available for this learning expectation.

 

 

 

PO 3. Determine the least common multiple for a set of whole numbers.

Math Fundamentals
   ·Fractions
      ·Multiples and Common Denominators

 

 

 

 

      ·Basic Terms Review

 

 

 

 

      ·Adding and Subtracting Fractions 2

 

 

 

 

Algebra 1, Part 1
   ·Basic Number Ideas (Alg 1.1)
      ·Adding and Subtracting Fractions (Alg 1.1)

 

 

 

PO 4. Choose the appropriate signed real number to represent a contextual situation.

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

 

 

 

PO 5. Recognize the absolute value of a number used in contextual situations.

PLATO Modules are not available for this learning expectation.

 

 

 

PO 6. Locate integers on a number line.

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

 

 

 

 

   ·Graphing Basics (Alg 1.1)
      ·Coordinate Plane (Alg 1.1)

 

 

 

PO 7. Order integers.

Math Expeditions I
   ·Numeration I - Compare
      ·Compare rational numbers

 

 

 

 

   ·Numeration I - Order
      ·Order rational numbers

 

 

 

PO 8. Classify rational numbers as natural, whole, or integers.

Math Expeditions I
   ·Numeration I - Compare
      ·Compare rational numbers

 

 

 

 

   ·Numeration I - Order
      ·Order rational numbers

 

 

 

 

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

 

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

 

PO 1. Add integers.

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

 

 

 

PO 10. Calculate the percent of a given number.

Math Fundamentals
   ·Ratio/Proportion/Percent
      ·Percent Concepts 2

 

 

 

 

      ·Ratio/Proportion/Percent Review

 

 

 

 

      ·Problem Solving 6

 

 

 

 

Applied Math
   ·Applied Math
      ·Using Base, Rate, and Proportion

 

 

 

 

Math Expeditions G
   ·Ratio/Proportion G - Ratio/Proportion
      ·Find percents

 

 

 

 

Math Expeditions H
   ·Ratio/Proportion/% H - Ratio/Proportion/%

 

 

 

 

Math Expeditions I
   ·Ratio/Proportion/% I - Ratio/Proportion/%

 

 

 

 

      ·Solve percents

 

 

 

 

Algebra 1, Part 1
   ·Basic Number Ideas (Alg 1.1)
      ·Mental Math with Fractions and Percents (Alg 1.1)

 

 

 

 

   ·Special Topics (Alg 1.1)
      ·Finding the Amount with Percents Less than 1% (Alg 1.1)

 

 

 

 

      ·Solving Problems with Percents (Alg 1.1)

 

 

 

PO 11. Convert numbers expressed in standard notation to scientific notation and vice versa. (positive exponents only)

Math Expeditions I
   ·Numeration I - Place Value
      ·Write in scientific notation

 

 

 

PO 12. Simplify numerical expressions using the order of operations with grade appropriate operations on number sets.

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

 

 

 

 

      ·Expressions in 2 or More Variables (Alg 1.1)

 

 

 

PO 2. Subtract integers.

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

 

 

 

PO 3. 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

 

 

 

PO 4. Solve word problems using grade level appropriate operations and numbers.

Math Fundamentals
   ·Subtraction
      ·Problem Solving 1

 

 

 

 

   ·Fractions
      ·Problem Solving 4

 

 

 

 

   ·Decimals
      ·Problem Solving 5

 

 

 

 

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

 

 

 

 

      ·Math Problem Solving: Growing Lilies

 

 

 

 

   ·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 5. Multiply integers.

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

 

 

 

PO 6. Divide integers.

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

 

 

 

PO 7. Apply grade level appropriate properties to assist in computation.

Math Fundamentals
   ·Addition
      ·Addition Properties

 

 

 

 

   ·Multiplication
      ·Multiplication Properties 1

 

 

 

 

      ·Multiplication Properties 2

 

 

 

 

   ·Division
      ·Division Facts

 

 

 

 

Math Expeditions G
   ·Number Operations G - Subtraction
      ·Subtract numbers with zeros

 

 

 

 

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)

 

 

 

PO 8. Apply the symbols + and - to represent positive and negative, and "| |" to represent absolute value.

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)

 

 

 

PO 9. Use grade level appropriate mathematical terminology.

PLATO Modules are not available for this learning expectation.

 

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

 

PO 1. Solve grade level appropriate problems using estimation.

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

 

 

 

 

      ·Math Problem Solving: Growing Lilies

 

 

 

 

   ·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

 

 

 

 

      ·Math Problem Solving: Making the Grade

 

 

 

 

      ·Math Problem Solving: Statistics for Quality

 

 

 

 

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. Use estimation to verify the reasonableness of a calculation. (e.g., Is –2.5 x 18 about –50?)

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 whether an estimation of an area is approximately equal to the actual measure.

Math Fundamentals
   ·Geometry and Measurement
      ·Area Measurement

 

 

 

 

      ·Measurement Review

 

 

 

 

Geometry and Measurement 1
   ·Measurement
      ·Area, Part 1

 

 

 

 

      ·Area, Part 2

 

 

 

PO 4. Determine whether an estimation of an angle is approximately equal to the actual measure.

PLATO Modules are not available for this learning expectation.

 

 

 

PO 5. Determine whether an estimation of the circumference of a circle is approximately equal to the actual measure.

Math Fundamentals
   ·Geometry and Measurement
      ·Measurement Review

 

 

 

 

Geometry and Measurement 1
   ·Measurement
      ·Metric Measurement

 

 

 

 

Algebra 1, Part 1
   ·Special Topics (Alg 1.1)
      ·Estimation Basics (Alg 1.1)

 

 

 

PO 6. Verify the reasonableness of estimates made from calculator results within a contextual situation.

Applied Math
   ·Applied Math
      ·Estimating

 

 

 

 

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)

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. Formulate questions to collect data in contextual situations.

PLATO Modules are not available for this learning expectation.

 

 

 

PO 2. Construct a circle graph with appropriate labels and title from organized data.

Data Skills
   ·Constructing Graphs and Charts
      ·Constructing Pie Charts

 

 

 

 

      ·Selecting Graphs and Charts

 

 

 

PO 3. Determine when it is appropriate to use histograms, line graphs, double bar graphs and stem-and-leaf plots.

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

 

 

 

 

      ·Math Problem Solving: Growing Lilies

 

 

 

 

Data Skills
   ·Constructing Graphs and Charts
      ·Constructing Line Graphs

 

 

 

 

      ·Constructing Bar Graphs

 

 

 

 

      ·Constructing Histograms

 

 

 

 

      ·Selecting Graphs and Charts

 

 

 

PO 4. Interpret data displays including histograms, stem-and -leaf plots, circle graphs and double line graphs.

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

 

 

 

 

      ·Math Problem Solving: Growing Lilies

 

 

 

 

   ·Probability and Statistics
      ·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

 

 

 

 

   ·Computing Graphical Data
      ·Graphing and Charting

 

 

 

 

      ·Using Line Graphs

 

 

 

 

      ·Using Bar Graphs

 

 

 

 

      ·Using Pie Charts

 

 

 

 

      ·Using Histograms

 

 

 

 

   ·Reading Complex Charts and Graphs
      ·Reading Histograms

 

 

 

 

Math Expeditions G
   ·Graphs G - Graphs
      ·Data from graphs

 

 

 

 

Math Expeditions H
   ·Graphs H - Graphs
      ·Data from graphs

 

 

 

 

Math Expeditions I
   ·Graphs I - Graphs
      ·Data from graphs

 

 

 

PO 5. Answer questions based on data displays including histograms, stem-and -leaf plots, circle graphs and double line graphs.

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

 

 

 

 

      ·Math Problem Solving: Growing Lilies

 

 

 

 

   ·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

 

 

 

 

   ·Computing Graphical Data
      ·Graphing and Charting

 

 

 

 

      ·Tables

 

 

 

 

      ·Using Line Graphs

 

 

 

 

      ·Using Bar Graphs

 

 

 

 

      ·Using Pie Charts

 

 

 

 

      ·Using Histograms

 

 

 

 

   ·Reading Complex Charts and Graphs
      ·Reading Histograms

 

 

 

 

      ·Reading Complex Tables

 

 

 

 

Math Expeditions G
   ·Graphs G - Graphs
      ·Data from graphs

 

 

 

 

Math Expeditions H
   ·Graphs H - Graphs
      ·Data from graphs

 

 

 

 

Math Expeditions I
   ·Graphs I - Graphs
      ·Data from graphs

 

 

 

PO 6. Find the mean, median, mode and range of a given numerical data set.

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

 

 

 

 

Math Expeditions G
   ·Probability/Stats G - Probability/Stats
      ·Range, median, mode & mean

 

 

 

 

Math Expeditions H
   ·Probability/Stats H - Probability/Stats
      ·Range, median, mode & mean

 

 

 

 

Math Expeditions I
   ·Probability/Stats I - Probability/Stats
      ·Range, median, mode & mean

 

 

 

 

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)

 

 

 

PO 7. Interpret trends from displayed data.

PLATO Modules are not available for this learning expectation.

 

 

 

PO 8. Compare trends in data related to the same investigation.

PLATO Modules are not available for this learning expectation.

 

 

 

PO 9. Solve contextual problems using histograms, line graphs of continuous data, double bar graphs, and stem-and-leaf plots.

Math Fundamentals
   ·Subtraction
      ·Problem Solving 1

 

 

 

 

   ·Fractions
      ·Problem Solving 4

 

 

 

 

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

 

 

 

 

   ·Advanced Algebra
      ·Math Problem Solving: Building Boats

 

 

 

 

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

 

 

 

 

      ·Math Problem Solving: Statistics for Quality

 

 

 

 

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

 

Concept 2: Probability - Understand and apply the basic concepts of probability.

 

PO 1. Determine the probability that a specific event will occur in a single stage probability experiment. (e.g., Find the probability of drawing a red marble from a bag with 3 red, 5 blue, and 9 black marbles)

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

 

 

 

 

Math Expeditions H
   ·Probability/Stats H - Probability/Stats
      ·Find the probability & outcomes

 

 

 

 

Math Expeditions I
   ·Probability/Stats I - Probability/Stats
      ·Find probability & outcomes

 

 

 

 

Algebra 1, Part 1
   ·Special Topics (Alg 1.1)
      ·Probability of an Event (Alg 1.1)

 

 

 

 

      ·Solving Problems with Probability (Alg 1.1)

 

 

 

PO 2. Compare probabilities to determine the fairness of a contextual situation. (e.g. If John wins when two or greater shows after a six-sided number cube is rolled and Joaquin wins otherwise, is this a fair game?)

Math Expeditions H
   ·Probability/Stats H - Probability/Stats
      ·Find the probability & outcomes

 

 

 

 

Math Expeditions I
   ·Probability/Stats I - Probability/Stats
      ·Find probability & outcomes

 

 

 

PO 3. Predict the outcome of a grade level appropriate probability experiment.

Math Expeditions H
   ·Probability/Stats H - Probability/Stats
      ·Find the probability & outcomes

 

 

 

 

Math Expeditions I
   ·Probability/Stats I - Probability/Stats
      ·Find probability & outcomes

 

 

 

 

Algebra 1, Part 1
   ·Special Topics (Alg 1.1)
      ·Probability and Possible Outcomes (Alg 1.1)

 

 

 

PO 4. Record the data from performing a grade level appropriate probability experiment.

Math Expeditions H
   ·Probability/Stats H - Probability/Stats
      ·Find the probability & outcomes

 

 

 

 

Math Expeditions I
   ·Probability/Stats I - Probability/Stats
      ·Find probability & outcomes

 

 

 

 

Algebra 1, Part 1
   ·Special Topics (Alg 1.1)
      ·Probability and Possible Outcomes (Alg 1.1)

 

 

 

PO 5. Compare the outcome of an experiment to predictions made prior to performing the experiment.

Math Expeditions H
   ·Probability/Stats H - Probability/Stats
      ·Find the probability & outcomes

 

 

 

 

Math Expeditions I
   ·Probability/Stats I - Probability/Stats
      ·Find probability & outcomes

 

 

 

PO 6. Make predictions from the results of student-generated experiments using objects (e.g., coins, spinners, number cubes, and cards).

Math Expeditions H
   ·Probability/Stats H - Probability/Stats
      ·Find the probability & outcomes

 

 

 

 

Math Expeditions I
   ·Probability/Stats I - Probability/Stats
      ·Find probability & outcomes

 

 

 

 

Algebra 1, Part 1
   ·Special Topics (Alg 1.1)
      ·Probability and Possible Outcomes (Alg 1.1)

 

 

 

PO 7. Compare the results of two repetitions of the same grade level appropriate probability experiment.

Math Expeditions H
   ·Probability/Stats H - Probability/Stats
      ·Find the probability & outcomes

 

 

 

 

Math Expeditions I
   ·Probability/Stats I - Probability/Stats
      ·Find probability & outcomes

 

 

 

 

Algebra 1, Part 1
   ·Special Topics (Alg 1.1)
      ·Probability and Possible Outcomes (Alg 1.1)

 

Concept 3: Discrete Mathematics – Systematic Listing and Counting: Understand and demonstrate the systematic listing and counting of possible outcomes.

 

PO 1. Determine all possible outcomes involving the combination of up to three sets of objects. (e.g. How many outfits can be made with 3 pants, 2 tee-shirts and 2 pairs of shoes?)

Math Expeditions H
   ·Probability/Stats H - Probability/Stats
      ·Find the probability & outcomes

 

 

 

 

Math Expeditions I
   ·Probability/Stats I - Probability/Stats
      ·Find probability & outcomes

 

 

 

PO 2. Determine all possible arrangements of a given set, using a systematic list, table, tree diagram or other representation.

Math Expeditions H
   ·Probability/Stats H - Probability/Stats
      ·Find the probability & outcomes

 

 

 

 

Math Expeditions I
   ·Probability/Stats I - Probability/Stats
      ·Find probability & outcomes

 

 

 

 

Algebra 1, Part 1
   ·Special Topics (Alg 1.1)
      ·Probability and Possible Outcomes (Alg 1.1)

 

Concept 4: Vertex-Edge Graphs - Understand and apply vertex-edge graphs.

 

PO 1. Find the shortest circuit on a map that makes a tour of specified sites (vertex edge graph).

PLATO Modules are not available for this learning expectation.

Strand 3: Patterns, Algebra, and Functions

Concept 1: Patterns - Identify patterns and apply pattern recognition to reason mathematically

 

PO 1. Communicate a grade level appropriate recursive pattern, using symbols or numbers.

Algebra 1, Part 1
   ·Introduction to Functions (Alg 1.1)
      ·Patterns and Sequences (Alg 1.1)

 

 

 

PO 2. Extend a grade level appropriate recursive pattern.

Algebra 1, Part 1
   ·Introduction to Functions (Alg 1.1)
      ·Patterns and Sequences (Alg 1.1)

 

 

 

PO 3. Solve grade level appropriate recursive pattern problems.

PLATO Modules are not available for this learning expectation.

 

Concept 2: Functions and Relationships - Describe and model functions and their relationships

 

PO 1. Describe the rule used in a simple grade level appropriate function. (e.g., T-chart, input/output model)

Algebra 1, Part 1
   ·Introduction to Functions (Alg 1.1)
      ·Functions (Alg 1.1)

 

 

 

 

      ·Describing Functions with Equations, Tables, and Graphs (Alg 1.1)

 

Concept 3: Algebraic Representations - Represent and analyze mathematical situations and structures using algebraic representations

 

PO 1. Evaluate an expression containing two variables by substituting integers for the variable. (e.g., 7x + m, when x = -4 and m = 12)

Algebra 1, Part 1
   ·Math Sentences (Alg 1.1)
      ·Expressions in 1 Variable (Alg 1.1)

 

 

 

 

      ·Expressions in 2 or More Variables (Alg 1.1)

 

 

 

 

      ·Determining the Truth Value of a Statement (Alg 1.1)

 

 

 

PO 2. Use variables in contextual situations.

Math Problem Solving
   ·Advanced Algebra
      ·Math Problem Solving: Building Boats

 

 

 

 

Math Expeditions H
   ·Ratio/Proporti