The Correlation of

 

PLATO©

 

Curricula to

 

Arizona Academic Standards and Accountability

(AASA)

Mathematics Standard Articulated by Grade Level (Adopted 3.31.03)



May 4, 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 Expeditions C
Math Expeditions D
Math Expeditions E



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 3

PO 1. Read whole numbers in contextual situations (through six-digit numbers).

Math Expeditions C
   ·Numeration C - Place Value
      ·Identify tens & ones to 99

 

 

 

 

      ·Write standard form to 99

 

 

 

 

      ·Write standard form to 999

 

 

 

 

Math Expeditions D
   ·Numeration D - Place Value
      ·Write standard form to 999

 

 

 

 

      ·Write standard form to 9999

 

 

 

 

      ·Write standard form to 999,999

 

 

 

PO 10. Make models that represent proper fractions (halves, thirds, fourths, eighths and tenths).

Math Expeditions C
   ·Fractions C - Fractions
      ·Halves, thirds, fourths, tenths

 

 

 

 

Math Expeditions D
   ·Fractions D - Fractions
      ·Equivalent fractions

 

 

 

PO 11. Identify symbols, words, or models that represent proper fractions.(Halves, thirds, fourths, eighths and tenths)

Math Expeditions C
   ·Fractions C - Fractions
      ·Halves, thirds, fourths, tenths

 

 

 

 

Math Expeditions D
   ·Fractions D - Fractions
      ·Equivalent fractions

 

 

 

PO 12. Use proper fractions in contextual situations.

PLATO Modules are not available for this learning expectation.

 

 

 

PO 13. Compare two proper fractions with like denominators.

Math Expeditions E
   ·Fractions E - Fractions
      ·Compare equivalent fractions

 

 

 

PO 14. Order three or more proper fractions with like denominators (Halves, thirds, fourths, eighths and tenths).

Math Expeditions E
   ·Fractions E - Fractions
      ·Compare equivalent fractions

 

 

 

PO 15. Count amounts of money through $20.00 using pictures or actual bills and coins.

Math Expeditions C
   ·Money C - Money
      ·Compare money to $2.00

 

 

 

PO 16. Use decimals through hundredths in contextual situations.

Math Expeditions E
   ·Decimals E - Decimals
      ·Write decimals

 

 

 

PO 17. Compare two decimals, through hundredths, using models, illustrations, or symbols.

Math Expeditions E
   ·Decimals E - Decimals
      ·Compare, order & round decimals

 

 

 

PO 18. Order three or more decimals, through hundredths, using models, illustrations, or symbols.

Math Expeditions E
   ·Decimals E - Decimals
      ·Compare, order & round decimals

 

 

 

PO 19. Determine the equivalency among decimals, fractions, and percents. (e.g., Half-dollar = 50¢ = 50% and 1/4 = 0.25 = 25%)

PLATO Modules are not available for this learning expectation.

 

 

 

PO 2.Identify six-digit whole numbers in or out of order.

Math Expeditions C
   ·Numeration C - Order
      ·Order numbers through 99

 

 

 

 

      ·Order numbers through 999

 

 

 

 

Math Expeditions D
   ·Numeration D - Order
      ·Order numbers to 999

 

 

 

 

      ·Order numbers to 9999

 

 

 

PO 20. Identify whole-number factors and/or pairs of factors for a given whole number through 24.

PLATO Modules are not available for this learning expectation.

 

 

 

PO 21. Determine multiples of a given whole number with products through 24 (skip counting).

PLATO Modules are not available for this learning expectation.

 

 

 

PO 3.Write whole numbers through six-digits in or out of order.

Math Expeditions C
   ·Numeration C - Order
      ·Order numbers through 99

 

 

 

 

      ·Order numbers through 999

 

 

 

 

Math Expeditions D
   ·Numeration D - Order
      ·Order numbers to 999

 

 

 

 

      ·Order numbers to 9999

 

 

 

 

   ·Numeration D - Place Value
      ·Write standard form to 999,999

 

 

 

 

Math Expeditions E
   ·Numeration E - Compare
      ·Compare numbers to 999,999

 

 

 

 

   ·Numeration E - Order
      ·Order numbers to 999,999

 

 

 

 

   ·Numeration E - Place Value
      ·Identify place value to millions

 

 

 

PO 4. State whole numbers, through six-digits, with correct place value, by using models, illustrations, symbols, or expanded notation. (e.g.,53,941 = 50,000 + 3,000 + 900 + 40 +1)

Math Expeditions C
   ·Numeration C - Place Value
      ·Identify tens & ones to 99

 

 

 

 

      ·Write standard form to 99

 

 

 

 

      ·Write standard form to 999

 

 

 

 

Math Expeditions D
   ·Numeration D - Place Value
      ·Write standard form to 999

 

 

 

 

      ·Write standard form to 9999

 

 

 

 

      ·Write standard form to 999,999

 

 

 

PO 5.Construct models to represent place value concepts for the one’s, ten’s, and hundred’s places.

PLATO Modules are not available for this learning expectation.

 

 

 

PO 6. Apply expanded notation to model place value through 9,999. (e.g., 5,378 = 5,000 + 300 + 70 + 8)

Math Expeditions C
   ·Numeration C - Place Value
      ·Write standard form to 99

 

 

 

 

      ·Write standard form to 999

 

 

 

 

Math Expeditions D
   ·Numeration D - Place Value
      ·Write standard form to 999

 

 

 

 

      ·Write standard form to 9999

 

 

 

PO 7. Sort whole numbers into sets containing only odd numbers or only even numbers.

Math Expeditions C
   ·Numeration C - Number Recognition
      ·Count by twos

 

 

 

 

 

 

 

 

PO 8. Compare two whole numbers, through six-digits.

Math Expeditions C
   ·Numeration C - Compare
      ·Compare numbers through 99

 

 

 

 

Math Expeditions D
   ·Numeration D - Compare
      ·Compare numbers to 999

 

 

 

 

      ·Compare numbers to 9999

 

 

 

 

Math Expeditions E
   ·Numeration E - Compare
      ·Compare numbers to 999,999

 

 

 

PO 9. Order three or more whole numbers through six-digit numbers (least to greatest, or greatest to least).

Math Expeditions C
   ·Numeration C - Order
      ·Order numbers through 99

 

 

 

 

      ·Order numbers through 999

 

 

 

 

Math Expeditions D
   ·Numeration D - Order
      ·Order numbers to 999

 

 

 

 

      ·Order numbers to 9999

 

 

 

 

Math Expeditions E
   ·Numeration E - Order
      ·Order numbers to 999,999

 

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

 

PO 1. Demonstrate the process of subtraction using manipulatives through three-digit whole numbers.

Math Expeditions C
   ·Number Operations C - Subtraction
      ·Subtract numbers through 12

 

 

 

 

      ·Subtract numbers through 18

 

 

 

 

      ·Renaming readiness

 

 

 

 

      ·Subtract 2-digit numbers

 

 

 

 

      ·Subtract multiples of 10

 

 

 

 

      ·Subtract two 2-digits

 

 

 

 

      ·Subtract with money

 

 

 

 

      ·Subtract 3-digit numbers

 

 

 

 

Math Expeditions D
   ·Number Operations D - Subtraction
      ·Subtract 2D from multiples of 10

 

 

 

 

      ·Subtract two 2-digit numbers

 

 

 

 

      ·Subtract 3-digit numbers

 

 

 

 

Math Expeditions E
   ·Number Operations E - Subtraction
      ·Subtract 2 or 3-digit numbers

 

 

 

PO 10. State multiplication and division facts through 9s.

Math Expeditions C
   ·Number Operations C - Multiplication
      ·Multiply by twos

 

 

 

 

      ·Multiply by threes

 

 

 

 

      ·Multiply by fours

 

 

 

 

      ·Multiply by fives

 

 

 

 

Math Expeditions D
   ·Number Operations D - Multiplication
      ·Multiply with zero through five

 

 

 

 

      ·Multiply with fives and sixes

 

 

 

 

      ·Multiply with sevens and eights

 

 

 

 

      ·Multiply with nines

 

 

 

 

   ·Number Operations D - Division
      ·Divide by 2-5

 

 

 

 

      ·Divide by 6-9

 

 

 

 

      ·Divide by 1-9

 

 

 

 

Math Expeditions E
   ·Number Operations E - Multiplication
      ·Multiply with zero through five

 

 

 

 

      ·Multiply with fives and sixes

 

 

 

 

      ·Multiply with sevens and eights

 

 

 

 

      ·Multiply with nines

 

 

 

PO 11. Demonstrate the commutative and identity properties of multiplication.

Math Expeditions D
   ·Number Operations D - Multiplication
      ·Multiply with zero through five

 

 

 

 

Math Expeditions E
   ·Number Operations E - Multiplication

 

 

 

PO 12. Identify multiplication and division as inverse operations.

Math Expeditions E
   ·Number Operations E - Division
      ·Divide by 1-9 with remainders

 

 

 

PO 13. Apply grade level appropriate properties to assist in computation.

PLATO Modules are not available for this learning expectation.

 

 

 

PO 14. Apply the symbols: ×, ÷, /, *, %, and the grouping symbols ( ) and “,”.

Math Expeditions D
   ·Number Operations D - Multiplication
      ·Multiply with zero through five

 

 

 

 

   ·Number Operations D - Division
      ·Divide by 2-5

 

 

 

 

      ·Divide by 6-9

 

 

 

PO 15. Use grade level appropriate mathematical terminology.

PLATO Modules are not available for this learning expectation.

 

 

 

PO 16.Add or subtract fractions with like denominators (halves, thirds, fourths, eighths, and tenths) appropriate to grade level.

Math Expeditions D
   ·Fractions D - Fractions
      ·Add and subtract fractions

 

 

 

 

Math Expeditions E
   ·Fractions E - Fractions
      ·Add & subtract same fractions

 

 

 

PO 17. Apply addition and subtraction in contextual situations, through $20.00.

Math Expeditions C
   ·Number Operations C - Addition
      ·Add two 2-digits using money

 

 

 

 

   ·Number Operations C - Subtraction
      ·Subtract with money

 

 

 

 

Math Expeditions D
   ·Number Operations D - Addition
      ·Add money

 

 

 

 

   ·Number Operations D - Subtraction
      ·Subtract with money

 

 

 

PO 2. Add two three-digit whole numbers.

Math Expeditions C
   ·Number Operations C - Addition
      ·Add two 2-digits

 

 

 

 

      ·Add two 2-digits using money

 

 

 

 

Math Expeditions D
   ·Number Operations D - Addition
      ·Add two 2-digit numbers

 

 

 

 

Math Expeditions E
   ·Number Operations E - Addition
      ·Add two or more numbers

 

 

 

PO 3. Subtract two three-digit whole numbers.

Math Expeditions C
   ·Number Operations C - Subtraction
      ·Renaming readiness

 

 

 

 

      ·Subtract with money

 

 

 

 

      ·Subtract 3-digit numbers

 

 

 

 

Math Expeditions D
   ·Number Operations D - Subtraction
      ·Subtract 2D from multiples of 10

 

 

 

 

      ·Subtract 3-digit numbers

 

 

 

 

Math Expeditions E
   ·Number Operations E - Subtraction
      ·Subtract 2 or 3-digit numbers

 

 

 

PO 4. Add a column of numbers.

Math Expeditions C
   ·Number Operations C - Addition
      ·Add three numbers with sums to 12

 

 

 

 

      ·Add three numbers with sums to 18

 

 

 

 

Math Expeditions D
   ·Number Operations D - Addition
      ·Add three 1-digit numbers to 18

 

 

 

 

      ·Add three or more 1-digit numbers

 

 

 

 

      ·Add three or more 2-digit numbers

 

 

 

 

Math Expeditions E
   ·Number Operations E - Addition
      ·Use mental math to add

 

 

 

PO 5. Select the grade level appropriate operation to solve word problems.

PLATO Modules are not available for this learning expectation.

 

 

 

PO 6. Solve word problems using grade level appropriate operations and numbers.

PLATO Modules are not available for this learning expectation.

 

 

 

PO 7. Demonstrate the process of multiplication as repeatedly adding the same number, counting by multiples, combining equal sets, and making arrays.

Math Expeditions C
   ·Number Operations C - Multiplication
      ·Multiply by twos

 

 

 

 

      ·Multiply by threes

 

 

 

 

      ·Multiply by fours

 

 

 

 

      ·Multiply by fives

 

 

 

 

Math Expeditions D
   ·Number Operations D - Multiplication
      ·Multiply with zero through five

 

 

 

 

Math Expeditions E
   ·Number Operations E - Multiplication

 

 

 

 

      ·Multiply with fives and sixes

 

 

 

 

      ·Multiply with sevens and eights

 

 

 

 

      ·Multiply with nines

 

 

 

PO 8. Demonstrate the process of division with one-digit divisors (Separating elements of a set into smaller equal sets, sharing equally, or repeatedly subtracting the same number).

Math Expeditions D
   ·Number Operations D - Division
      ·Divide by 2-5

 

 

 

 

      ·Divide by 6-9

 

 

 

 

      ·Divide by 1-digit numbers

 

 

 

 

Math Expeditions E
   ·Number Operations E - Division
      ·Divide by 1-9 with remainders

 

 

 

 

      ·Divide 2-digit by 1-digit with remainders

 

 

 

PO 9. Demonstrate families of equations for multiplication and division through 9s.

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 Expeditions D
   ·Number Operations D - Addition
      ·Estimate sums

 

 

 

 

   ·Number Operations D - Subtraction
      ·Estimate differences

 

 

 

 

   ·Number Operations D - Multiplication
      ·Estimate products

 

 

 

 

   ·Money D - Money
      ·Solve problems

 

 

 

 

Math Expeditions E
   ·Number Operations E - Addition
      ·Estimate sums

 

 

 

 

   ·Number Operations E - Subtraction
      ·Estimate differences

 

 

 

 

   ·Number Operations E - Multiplication
      ·Estimate products

 

 

 

 

   ·Number Operations E - Division
      ·Estimate quotients

 

 

 

PO 2. Estimate length and weight using U.S. customary units.

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

 

 

 

PO 3. Record estimated and actual linear measurements for real life objects (e.g. length of fingernail; height of desk).

Math Expeditions C
   ·Measurement C - Length
      ·Identify units of length

 

 

 

 

Math Expeditions D
   ·Measurement D - Length

 

 

 

 

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

 

 

 

PO 4. Compare estimations of appropriate measures to the actual measures.

PLATO Modules are not available for this learning expectation.

 

 

 

PO 5. Evaluate the reasonableness of estimated measures.

PLATO Modules are not available for this learning expectation.

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 horizontal bar, vertical bar, pictograph, or tally chart with appropriate labels and title from organized data.

PLATO Modules are not available for this learning expectation.

 

 

 

PO 3. Interpret data found in line plots, pictographs, and single-bar graphs (horizontal and vertical).

Math Expeditions C
   ·Graphs C - Graphs
      ·Solve problems: pictographs

 

 

 

 

Math Expeditions D
   ·Graphs D - Graphs
      ·Solve problems: bar graph, pictograph

 

 

 

 

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

 

 

 

PO 4. Answer questions based on data found in line plots, pictographs, and single-bar graphs (horizontal and vertical).

Math Expeditions C
   ·Graphs C - Graphs
      ·Solve problems: pictographs

 

 

 

 

Math Expeditions D
   ·Graphs D - Graphs
      ·Solve problems: bar graph, pictograph

 

 

 

 

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

 

 

 

PO 5. Formulate questions based on graphs, charts, and tables to solve problems.

PLATO Modules are not available for this learning expectation.

 

 

 

PO 6. Solve problems using graphs, charts and tables.

PLATO Modules are not available for this learning expectation.

 

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

 

PO 1. Name the possible outcomes for a probability experiment.

PLATO Modules are not available for this learning expectation.

 

 

 

PO 2. Make predictions about the probability of events being more likely, less likely, equally likely or unlikely.

PLATO Modules are not available for this learning expectation.

 

 

 

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

PLATO Modules are not available for this learning expectation.

 

 

 

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

PLATO Modules are not available for this learning expectation.

 

 

 

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

PLATO Modules are not available for this learning expectation.

 

 

 

PO 6. Compare the results of two repetitions of the same grade level appropriate probability experiment.

PLATO Modules are not available for this learning expectation.

 

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

 

PO 1. Make a diagram to represent the number of combinations available when 1 item is selected from each of 3 sets of 2 items. (e.g., 2 different shirts, 2 different hats, 2 different belts )

PLATO Modules are not available for this learning expectation.

 

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

 

PO 1. Color maps with the least number of colors so that no common edges share the same color (increased complexity throughout grade levels).

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 iterative pattern, using symbols or numbers.

PLATO Modules are not available for this learning expectation.

 

 

 

PO 2. Extend a grade level appropriate repetitive pattern.(e.g., 5, 10, 15, 20,...rule: add five or count by five’s

PLATO Modules are not available for this learning expectation.

 

 

 

PO 3. Solve grade level appropriate 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 and frames and arrows)

PLATO Modules are not available for this learning expectation.

 

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

 

PO 1. Use variables in contextual situations.

PLATO Modules are not available for this learning expectation.

 

 

 

PO 2. Solve equations with one variable using missing addends to sums of 18 (e.g.,  + 9 = 18, 9 +  = 18); using minuend through 18. (e.g., 18 -  = 9, 18 - 9 =  )

PLATO Modules are not available for this learning expectation.

 

Concept 4: Analysis of Change - Analyze change in a variable over time and in various contexts.

 

PO 1. Identify the change in a variable over time. (e.g., an object gets taller, colder, heavier, etc.)

PLATO Modules are not available for this learning expectation.

 

 

 

PO 2. Make simple predictions based on a variable (e.g., increases in allowance as you get older).

PLATO Modules are not available for this learning expectation.

Strand 4: Geometry and Measurement

Concept 1: Geometric Properties - Analyze the attributes and properties of two and three dimensional shapes and develop mathematical arguments about their relationships.

 

PO 1. Build geometric figures with other common shapes. (e.g., tangrams, pattern blocks, geoboards)

PLATO Modules are not available for this learning expectation.

 

 

 

PO 2. Name concrete objects and pictures of three-dimensional solids (cones, spheres and cubes).

Math Expeditions C
   ·Geometry C - Geometry
      ·Identify solid shapes

 

 

 

PO 3. Describe relationships between two-dimensional and three-dimensional objects. (squares/cubes, circles/spheres, triangles/cones)

PLATO Modules are not available for this learning expectation.

 

 

 

PO 4. Recognize similar shapes.

PLATO Modules are not available for this learning expectation.

 

 

 

PO 5. Identify a line of symmetry in a two-dimensional shape.

PLATO Modules are not available for this learning expectation.

 

Concept 2: Transformation of Shapes- Apply spatial reasoning to create transformations and use symmetry to analyze mathematical situations.

 

PO 1. Recognize same shape in different positions (turn/rotation).

PLATO Modules are not available for this learning expectation.

 

Concept 3: Coordinate Geometry - Specify and describe spatial relationships using coordinate geometry and other representational systems.

 

PO 1. Identify points in the first quadrant of a grid using ordered pairs.

PLATO Modules are not available for this learning expectation.

 

Concept 4: Measurement - Units of Measure - Geometric Objects Understand and apply appropriate units of measure, measurement techniques, and formulas to determine measurements.

 

PO 1. Select the appropriate measure of accuracy - · length – centimeters , meters; kilometers· capacity/volume – liters· mass/weight – grams.

Math Expeditions C
   ·Measurement C - Length
      ·Identify units of length

 

 

 

 

   ·Measurement C - Mass, Weight
      ·Metric units of mass

 

 

 

 

Math Expeditions D
   ·Measurement D - Length
      ·Identify units of length

 

 

 

 

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

 

 

 

PO 10. Represent area using a rectangular array.

Math Expeditions D
   ·Geometry D - Geometry
      ·Polygon area by counting squares

 

 

 

 

Math Expeditions E
   ·Geometry E - Geometry
      ·Find the area

 

 

 

PO 2. Tell time with one-minute precision (analog).

Math Expeditions D
   ·Time D - Time
      ·Tell time to the minute

 

 

 

PO 3. Determine the passage of time across months (i.e., units of days, weeks, months) using a calendar

Math Expeditions D
   ·Time D - Time
      ·Solve problems

 

 

 

PO 4. Measure a given object using the appropriate unit of measure - · length – centimeters, millimeters, meters, kilometers· capacity/volume – liters mass/weight – grams.

Math Expeditions C
   ·Measurement C - Length
      ·Identify units of length