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                                                                                                                                                                                                           Math Expeditions F
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 6

PO 1. Express fractions as ratios, comparing two whole numbers. (e.g., ¾ is equivalent to 3:4 and 3 to 4)

Math Fundamentals
   ·Ratio/Proportion/Percent
      ·Ratio Concepts

 

 

 

 

      ·Ratio/Proportion/Percent Review

 

 

 

 

Math Expeditions F
   ·Ratio/Proportion F - Ratio/Proportion
      ·Write ratios

 

 

 

 

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

 

 

 

 

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

 

 

 

 

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

 

 

 

 

Algebra 1, Part 1
   ·Special Topics (Alg 1.1)
      ·Scaling and Proportion, Part 1 (Alg 1.1)

 

 

 

PO 2. Compare two proper fractions, improper fractions or mixed numbers.

Math Fundamentals
   ·Fractions
      ·Equivalent Fractions

 

 

 

 

      ·Comparing Fractions

 

 

 

 

      ·Basic Terms Review

 

 

 

 

Math Expeditions G
   ·Fractions G - Fractions
      ·Compare & order fractions

 

 

 

 

Math Expeditions H
   ·Fractions H - Fractions

 

 

 

 

Math Expeditions I
   ·Fractions I - Fractions

 

 

 

PO 3. Order three or more proper fractions, improper fractions or mixed numbers.

Math Fundamentals
   ·Fractions
      ·Equivalent Fractions

 

 

 

 

      ·Comparing Fractions

 

 

 

 

      ·Basic Terms Review

 

 

 

 

Math Expeditions G
   ·Fractions G - Fractions
      ·Compare & order fractions

 

 

 

 

Math Expeditions H
   ·Fractions H - Fractions

 

 

 

 

Math Expeditions I
   ·Fractions I - Fractions

 

 

 

PO 4. Determine the equivalency between and among fractions, decimals, and percents in contextual situations.

Math Fundamentals
   ·Fractions
      ·Equivalent Fractions

 

 

 

 

      ·Basic Terms Review

 

 

 

 

      ·Subtracting Mixed Numbers 2

 

 

 

 

      ·Problem Solving 4

 

 

 

 

   ·Ratio/Proportion/Percent
      ·Ratio Concepts

 

 

 

 

      ·Ratio/Proportion/Percent Review

 

 

 

 

Math Expeditions F
   ·Ratio/Proportion F - Ratio/Proportion
      ·Write ratios

 

 

 

 

Math Expeditions G
   ·Decimals G - Decimals
      ·Add and subtract decimals

 

 

 

 

Math Expeditions H
   ·Decimals H - Decimals
      ·Add & subtract decimals

 

 

 

 

Math Expeditions I
   ·Fractions I - Fractions
      ·Compare & order fractions

 

 

 

 

   ·Decimals I - Decimals
      ·Add & subtract decimals

 

 

 

PO 5. Identify the greatest common factor for two whole numbers.

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

 

 

 

PO 6. Determine the least common multiple for two whole numbers.

Math Fundamentals
   ·Fractions
      ·Multiples and Common Denominators

 

 

 

 

      ·Basic Terms Review

 

 

 

 

      ·Adding and Subtracting Fractions 2

 

 

 

 

Math Expeditions F
   ·Fractions F - Fractions
      ·Add & subtract different fractions

 

 

 

 

      ·Add mixed numbers

 

 

 

 

      ·Subtract mixed numbers

 

 

 

 

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

 

 

 

PO 7. Express a whole number as a product of its prime factors using exponents when appropriate.

Algebra 1, Part 1
   ·Basic Number Ideas (Alg 1.1)
      ·Exponents: Exponential Form (Alg 1.1)

 

 

 

 

      ·Exponents: Expanded Form (Alg 1.1)

 

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

 

 

 

PO 10. Multiply mixed numbers.

Math Fundamentals
   ·Fractions
      ·Multiplying and Dividing Mixed Numbers 1

 

 

 

 

      ·Multiplying and Dividing Mixed Numbers 2

 

 

 

 

      ·Multiplication and Division Review

 

 

 

 

Math Expeditions F
   ·Fractions F - Fractions
      ·Multiply fractions & mixed numbers

 

 

 

 

Math Expeditions G
   ·Fractions G - Fractions

 

 

 

 

Math Expeditions H
   ·Fractions H - Fractions

 

 

 

 

Math Expeditions I
   ·Fractions I - Fractions

 

 

 

 

Algebra 1, Part 1
   ·Basic Number Ideas (Alg 1.1)
      ·Multiplying and Dividing Mixed Numbers (Alg 1.1)

 

 

 

PO 11. Demonstrate that division is the inverse of multiplication of proper fractions.

Math Fundamentals
   ·Fractions
      ·Dividing Fractions 1

 

 

 

 

      ·Dividing Fractions 2

 

 

 

 

      ·Multiplying and Dividing Mixed Numbers 2

 

 

 

 

      ·Multiplication and Division Review

 

 

 

 

Math Expeditions G
   ·Fractions G - Fractions
      ·Divide fractions

 

 

 

 

Math Expeditions H
   ·Fractions H - Fractions

 

 

 

 

Math Expeditions I
   ·Fractions I - Fractions

 

 

 

 

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

 

 

 

PO 12. Divide proper fractions.

Math Fundamentals
   ·Fractions
      ·Dividing Fractions 1

 

 

 

 

      ·Dividing Fractions 2

 

 

 

 

      ·Multiplying and Dividing Mixed Numbers 2

 

 

 

 

      ·Multiplication and Division Review

 

 

 

 

Math Expeditions G
   ·Fractions G - Fractions
      ·Divide fractions

 

 

 

 

Math Expeditions H
   ·Fractions H - Fractions

 

 

 

 

Math Expeditions I
   ·Fractions I - Fractions

 

 

 

 

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

 

 

 

PO 13. Divide mixed numbers.

Math Fundamentals
   ·Fractions
      ·Multiplying and Dividing Mixed Numbers 1

 

 

 

 

      ·Multiplying and Dividing Mixed Numbers 2

 

 

 

 

      ·Multiplication and Division Review

 

 

 

 

Math Expeditions G
   ·Fractions G - Fractions
      ·Divide fractions

 

 

 

 

Math Expeditions H
   ·Fractions H - Fractions

 

 

 

 

Math Expeditions I
   ·Fractions I - Fractions

 

 

 

 

Algebra 1, Part 1
   ·Basic Number Ideas (Alg 1.1)
      ·Multiplying and Dividing Mixed Numbers (Alg 1.1)

 

 

 

PO 14. Solve problems involving fractions or decimals (including money) in contextual situations.

Math Fundamentals
   ·Subtraction
      ·Problem Solving 1

 

 

 

 

   ·Fractions
      ·Problem Solving 4

 

 

 

 

   ·Decimals
      ·Problem Solving 5

 

 

 

PO 15. 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. Solve word problems using grade level appropriate operations and numbers.

Math Fundamentals
   ·Subtraction
      ·Problem Solving 1

 

 

 

 

   ·Fractions
      ·Problem Solving 4

 

 

 

 

   ·Decimals
      ·Problem Solving 5

 

 

 

PO 3. 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 4. Apply the symbols for “…” or “‾‾‾‾” to represent repeating decimals and “:” to represent ratios, superscripts as exponents.

Math Fundamentals
   ·Ratio/Proportion/Percent
      ·Ratio Concepts

 

 

 

 

      ·Ratio/Proportion/Percent Review

 

 

 

 

Math Expeditions F
   ·Ratio/Proportion F - Ratio/Proportion
      ·Write ratios

 

 

 

 

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

 

 

 

 

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

 

 

 

 

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

 

 

 

 

Algebra 1, Part 1
   ·Special Topics (Alg 1.1)
      ·Scaling and Proportion, Part 1 (Alg 1.1)

 

 

 

PO 5. Use grade level appropriate mathematical terminology.

PLATO Modules are not available for this learning expectation.

 

 

 

PO 6. Simplify fractions to lowest terms.

Math Fundamentals
   ·Fractions
      ·Equivalent Fractions

 

 

 

 

      ·Improper Fractions and Mixed Numbers

 

 

 

 

      ·Basic Terms Review

 

 

 

PO 7. Add or subtract proper fractions and mixed numbers with unlike denominators with regrouping.

Math Fundamentals
   ·Fractions
      ·Adding and Subtracting Fractions 2

 

 

 

 

      ·Adding Mixed Numbers

 

 

 

 

      ·Subtracting Mixed Numbers 1

 

 

 

 

      ·Subtracting Mixed Numbers 2

 

 

 

 

      ·Adding and Subtracting Fractions Review

 

 

 

 

Math Expeditions F
   ·Fractions F - Fractions
      ·Add & subtract different fractions

 

 

 

 

      ·Add mixed numbers

 

 

 

 

      ·Subtract mixed numbers

 

 

 

 

Math Expeditions G
   ·Fractions G - Fractions
      ·Add & subtract different fractions

 

 

 

 

      ·Add mixed numbers

 

 

 

 

      ·Subtract mixed numbers

 

 

 

 

Math Expeditions H
   ·Fractions H - Fractions
      ·Add & subtract different fractions

 

 

 

 

      ·Add mixed numbers

 

 

 

 

      ·Subtract mixed numbers

 

 

 

 

Math Expeditions I
   ·Fractions I - Fractions
      ·Add & subtract different fractions

 

 

 

 

      ·Add mixed numbers

 

 

 

 

      ·Subtract mixed numbers

 

 

 

 

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

 

 

 

 

      ·Adding and Subtracting Mixed Numbers (Alg 1.1)

 

 

 

PO 8. Demonstrate the process of multiplication of proper fractions using models.

Math Fundamentals
   ·Fractions
      ·Multiplying Fractions

 

 

 

PO 9. Multiply proper fractions.

Math Fundamentals
   ·Fractions
      ·Multiplying Fractions

 

 

 

 

      ·Multiplying and Dividing Mixed Numbers 2

 

 

 

 

      ·Multiplication and Division Review

 

 

 

 

Math Expeditions F
   ·Fractions F - Fractions
      ·Multiply fractions & mixed numbers

 

 

 

 

Math Expeditions G
   ·Fractions G - Fractions

 

 

 

 

Math Expeditions H
   ·Fractions H - Fractions

 

 

 

 

Math Expeditions I
   ·Fractions I - Fractions

 

 

 

 

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

 

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

 

PO 1. Solve grade level appropriate problems using estimation.

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 5/9 x 3/7 more than 1?)

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. Round to estimate quantities in contextual situations. (e.g., round up or round down)

Math Fundamentals
   ·Decimals
      ·Decimal Fractions 2

 

 

 

 

      ·Decimals Review

 

 

 

 

Math Expeditions F
   ·Numeration F - Round
      ·Round through millions

 

 

 

 

   ·Decimals F - Decimals
      ·Compare, order & round decimals

 

 

 

 

Math Expeditions G
   ·Numeration G - Round
      ·Round numbers through millions

 

 

 

 

      ·Round decimals

 

 

 

 

Math Expeditions H
   ·Numeration H - Round
      ·Round numbers through millions

 

 

 

 

      ·Round decimals

 

 

 

 

Math Expeditions I
   ·Numeration I - Round
      ·Round numbers through billions

 

 

 

 

      ·Round decimals

 

 

 

 

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

 

 

 

PO 4. Estimate and measure for the area and perimeter of polygons using a grid.

Math Fundamentals
   ·Geometry and Measurement
      ·Area Measurement

 

 

 

 

      ·Measurement Review

 

 

 

 

Math Expeditions F
   ·Measurement F - Length
      ·Metric units of length

 

 

 

 

   ·Geometry F - Geometry
      ·Find the area

 

 

 

 

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

 

 

 

PO 5. Verify the reasonableness of estimates made from calculator results within a contextual situation.

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 histogram, line graph, scatter plot, or stem-and-leaf plot with appropriate labels and title from organized data.

PLATO Modules are not available for this learning expectation.

 

 

 

PO 3. Interpret simple displays of data including double bar graphs, tally charts, frequency tables, circle graphs, and line graphs.

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

 

 

 

 

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

 

 

 

 

Algebra 1, Part 1
   ·Introduction to Functions (Alg 1.1)
      ·Interpreting Graphs to Solve Problems (Alg 1.1)

 

 

 

PO 4. Answer questions based on simple displays of data including double bar graphs, tally charts, frequency tables, circle graphs, and line graphs.

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

 

 

 

 

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

 

 

 

 

Algebra 1, Part 1
   ·Introduction to Functions (Alg 1.1)
      ·Interpreting Graphs to Solve Problems (Alg 1.1)

 

 

 

PO 5. Find the mean, median (odd number of data points), mode, range, and extreme values of a given numerical data set.

Math Expeditions F
   ·Probability F - Probability
      ·Range, median, mode & mean

 

 

 

 

Math Expeditions G
   ·Probability/Stats G - Probability/Stats

 

 

 

 

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 6. Identify a trend (variable increasing, decreasing, remaining constant) from displayed data.

PLATO Modules are not available for this learning expectation.

 

 

 

PO 7. Compare trends in data related to the same investigation.

PLATO Modules are not available for this learning expectation.

 

 

 

PO 8. Solve contextual problems using bar graphs, tally charts, and frequency tables.

Math Fundamentals
   ·Subtraction
      ·Problem Solving 1

 

 

 

 

   ·Fractions
      ·Problem Solving 4

 

 

 

 

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. Name the possible outcomes for a 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)

 

 

 

 

      ·Probability of an Event (Alg 1.1)

 

 

 

 

      ·Solving Problems with Probability (Alg 1.1)

 

 

 

PO 2. Express probabilities of a single event as a decimal.

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