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 B
Math Expeditions C
Math Expeditions D



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 2	PO 1. Make a model to represent a given whole number 0 through 999.	Math Expeditions B    ·Numeration B - Number Recognition       ·Identify and count 0-6
				·Identify and count 7-12
				·Count by fives
				·Numeration B - Place Value       ·Identify tens and ones to 99
				·Identify and write tens to 90
				Math Expeditions C    ·Numeration C - Place Value       ·Identify tens & ones to 99
			PO 10. Identify odd and even (including 0) whole numbers through 999.	Math Expeditions C    ·Numeration C - Number Recognition       ·Count by twos
			PO 11.Compare two whole numbers through 999.	Math Expeditions B    ·Numeration B - Compare       ·Compare numbers through 99
				Math Expeditions C    ·Numeration C - Compare
				Math Expeditions D    ·Numeration D - Compare       ·Compare numbers to 999
			PO 12. Use ordinal numbers.	Math Expeditions B    ·Numeration B - Ordinals       ·Identify ordinals through tenth
				Math Expeditions C    ·Numeration C - Ordinals       ·Identify ordinals to twentieth
			PO 13.Order three or more whole numbers through 999 (least to greatest or greatest to least).	Math Expeditions B    ·Numeration B - Order       ·Order numbers 1 through 10
				·Order numbers through 99
				Math Expeditions C    ·Numeration C - Order       ·Order numbers through 99
				·Order numbers through 999
				Math Expeditions D    ·Numeration D - Order       ·Order numbers to 999
			PO 14. Make models that represent given fractions (halves and fourths).	Math Expeditions B    ·Fractions B - Fractions       ·Identify 1/2, 1/3 & 1/4
				Math Expeditions C    ·Fractions C - Fractions       ·Halves, thirds, fourths, tenths
			PO 15. Identify in symbols and words a model that is divided into equal fractional parts. (Halves and fourths)	Math Expeditions B    ·Fractions B - Fractions       ·Identify 1/2, 1/3 & 1/4
				Math Expeditions C    ·Fractions C - Fractions       ·Halves, thirds, fourths, tenths
			PO 16.Count money through $5.00 using manipulative and pictures of bills and coins.	Math Expeditions B    ·Money B - Money       ·Identify coins to 99 cents
			PO 17. Identify the value of a collection of money using the symbols ¢ and $ through $5.00.	Math Expeditions B    ·Money B - Money       ·Identify coins to 99 cents
			PO 18. Use decimals through hundredths in contextual situations with money.	Math Expeditions B    ·Money B - Money       ·Identify coins to 99 cents
				Math Expeditions C    ·Money C - Money       ·Compare money to $2.00
			PO 19. Compare two decimals using money, through hundredths, using models, illustrations, or symbols.	Math Expeditions C    ·Money C - Money       ·Compare money to $2.00
			PO 2. Identify a whole number represented by a model with a word name and symbol 0 through 999.	Math Expeditions B    ·Numeration B - Number Recognition       ·Identify and count 0-6
				·Identify and count 7-12
				·Numeration B - Place Value       ·Identify tens and ones to 99
				·Identify and write tens to 90
				Math Expeditions C    ·Numeration C - Place Value       ·Identify tens & ones to 99
				·Write standard form to 999
				Math Expeditions D    ·Numeration D - Place Value       ·Write standard form to 999
			PO 20. Distinguish the equivalency among decimals, fractions and percents. (e.g., Half-dollar = 50¢ = 50%)	Math Expeditions D    ·Fractions D - Fractions       ·Equivalent fractions
			PO 3. Count aloud, forward or backward, in consecutive order (0 through 999).	PLATO Modules are not available for this learning expectation.
			PO 4.Identify whole numbers through 999 in or out of order.	Math Expeditions C    ·Numeration C - Order       ·Order numbers through 999
				·Numeration C - Place Value       ·Write standard form to 999
				Math Expeditions D    ·Numeration D - Order       ·Order numbers to 999
				·Numeration D - Place Value       ·Write standard form to 999
			PO 5.Write whole numbers through 999 in or out of order.	Math Expeditions C    ·Numeration C - Place Value       ·Write standard form to 999
				Math Expeditions D    ·Numeration D - Place Value       ·Write standard form to 999
			PO 6. State equivalent forms of whole numbers using multiples of 10 through 1,000. (430 + 200 = 600 + 30)	PLATO Modules are not available for this learning expectation.
			PO 7. State verbally whole numbers, through 999, using correct place value. (e.g., a student will read 528 as five hundreds, two tens and eight ones)	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
			PO 8.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 9.Apply expanded notation to model place value through 999. (e.g., 378 = 3 hundreds + 7 tens + 8 ones)	Math Expeditions B    ·Numeration B - Place Value       ·Identify tens and ones to 99
				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
	Concept 2: Numerical Operations- Understand and apply numerical operations and their relationship to one another.		PO 1. Demonstrate the process of addition through two three-digit whole numbers, using manipulatives.	Math Expeditions D    ·Number Operations D - Addition       ·Add two 2, 3, or 4-digit numbers
			PO 10. State multiplication facts: 2s, 5s and10s.	Math Expeditions C    ·Number Operations C - Multiplication       ·Multiply by twos
				·Multiply by fives
				Math Expeditions D    ·Number Operations D - Multiplication       ·Multiply with fives and sixes
			PO 11. Demonstrate the associative property of addition.(e.g.,(3 + 5) + 4 = 3 + (5 + 4) )	Math Expeditions D    ·Number Operations D - Addition       ·Add three or more 1-digit numbers
			PO 12. Apply grade level appropriate properties to assist in computation.	PLATO Modules are not available for this learning expectation.
			PO 13. Apply the symbols: +, -, x, ÷, =,≠, <, >, %.	Math Expeditions B    ·Number Operations B - Addition       ·Add two numbers with sums to 10
				·Number Operations B - Subtraction       ·Subtract numbers through 7
				·Subtract with zero
				Math Expeditions C    ·Numeration C - Compare       ·Compare numbers through 99
				Math Expeditions D    ·Numeration D - Compare       ·Compare numbers to 999
				·Number Operations D - Multiplication       ·Multiply with zero through five
				·Number Operations D - Division       ·Divide by 2-5
				·Divide by 6-9
			PO 14. Use grade level appropriate mathematical terminology.	PLATO Modules are not available for this learning expectation.
			PO 15. Demonstrate addition of fractions with like denominators (halves and fourths) using models.	Math Expeditions D    ·Fractions D - Fractions       ·Add and subtract fractions
			PO 16. Demonstrate subtraction of fractions with like denominators (halves and fourths) using models.	Math Expeditions D    ·Fractions D - Fractions       ·Add and subtract fractions
			PO 17. Add and subtract money without regrouping using manipulatives and paper and pencil, through $5.00.	Math Expeditions B    ·Number Operations B - Addition       ·Add with money
				·Number Operations B - Subtraction       ·Subtract with money
				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. Demonstrate the process of subtraction using manipulatives with two-digit whole numbers.	Math Expeditions B    ·Number Operations B - Subtraction       ·Subtract with two 2-digit numbers
				Math Expeditions C    ·Number Operations C - Subtraction       ·Renaming readiness
				·Subtract 2-digit numbers
				·Subtract multiples of 10
				·Subtract two 2-digits
				·Subtract with money
				Math Expeditions D    ·Number Operations D - Subtraction       ·Subtract 2D from multiples of 10
				·Subtract two 2-digit numbers
			PO 3. State addition and subtraction facts.	Math Expeditions B    ·Number Operations B - Addition       ·Add two numbers with sums to 10
				·Add with zero
				·Add two numbers with sums to 12
				·Number Operations B - Subtraction       ·Subtract numbers through 7
				·Subtract with zero
				·Subtract numbers 9, 10, 11, 12
				·Subtract numbers 13 through 18
				Math Expeditions C    ·Number Operations C - Addition       ·Add two numbers with sums to 10
				·Add two numbers with sums to 12
				·Add two numbers with sums to 18
				·Number Operations C - Subtraction       ·Subtract numbers through 12
				·Subtract numbers through 18
				Math Expeditions D    ·Number Operations D - Addition       ·Add two numbers with sums to 18
				·Number Operations D - Subtraction       ·Subtract numbers 13 to 18
			PO 4. Add one- and two- digit whole numbers with regrouping.	Math Expeditions B    ·Number Operations B - Addition       ·Add two 2-digit numbers
				Math Expeditions D    ·Number Operations D - Addition
			PO 5. Subtract one- and two- digit whole numbers with regrouping.	Math Expeditions C    ·Number Operations C - Subtraction       ·Renaming readiness
				·Subtract 2-digit numbers
				·Subtract multiples of 10
				·Subtract two 2-digits
				·Subtract with money
				Math Expeditions D    ·Number Operations D - Subtraction       ·Subtract 2D from multiples of 10
				·Subtract two 2-digit numbers
			PO 6. Add 3 one- or two-digit addends.	Math Expeditions B    ·Number Operations B - Addition       ·Add three numbers with sums to 10
				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
			PO 7. Select the grade level appropriate operation to solve word problems.	PLATO Modules are not available for this learning expectation.
			PO 8. Solve word problems using addition and subtraction of two 2-digit numbers, with regrouping AND two 3-digit numbers without regrouping.	Math Expeditions B    ·Number Operations B - Addition       ·Add two 2-digit numbers
				·Number Operations B - Subtraction       ·Subtract with two 2-digit numbers
				Math Expeditions C    ·Number Operations C - Subtraction       ·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 - Addition       ·Add two 2-digit numbers
				·Add two 2, 3, or 4-digit numbers
				·Number Operations D - Subtraction       ·Subtract 2D from multiples of 10
				·Subtract two 2-digit numbers
				·Subtract 3-digit numbers
			PO 9. Count by multiples of three.	PLATO Modules are not available for this learning expectation.
	Concept 3: Estimation- Use estimation strategies reasonably and fluently.		PO 1. Solve problems using a variety of mental computations and reasonable estimation.	PLATO Modules are not available for this learning expectation.
			PO 2. Estimate the measurement of an object using U.S. customary standard and non-standard units of measurement.	PLATO Modules are not available for this learning expectation.
			PO 3. Compare an estimate to the actual measure.	PLATO Modules are not available for this learning expectation.
			PO 4. Evaluate the reasonableness of an estimate.	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. Make a simple pictograph or tally chart with appropriate labels from organized data.	PLATO Modules are not available for this learning expectation.
			PO 3. Interpret pictographs using terms such as most, least, equal, more than, less than, and greatest.	Math Expeditions C    ·Graphs C - Graphs       ·Solve problems: pictographs
				Math Expeditions D    ·Graphs D - Graphs       ·Solve problems: bar graph, pictograph
			PO 4. Answer questions about a pictograph using terms such as most, least, equal, more than, less than, and greatest.	Math Expeditions C    ·Graphs C - Graphs       ·Solve problems: pictographs
				Math Expeditions D    ·Graphs D - Graphs       ·Solve problems: bar graph, pictograph
			PO 5. Formulate questions based on graphs, charts, and tables.	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. Predict the most likely or least likely outcome in probability experiments. (e.g., Predict the chance of spinning one of the 2 colors on a 2-colored spinner.)	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 arrangements that represent the number of combinations that can be formed by pairing items taken from 2 sets, using manipulatives. (e.g., How many types of sandwiches can one make with 3 different types of fillings and 2 types of bread if only one type of bread and 1 kind of filling is used for each sandwich,)	PLATO Modules are not available for this learning expectation.
	Concept 4: Vertex-Edge Graphs - Understand and apply vertex-edge graphs.		PO 1. Color pictures 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 pattern, using symbols or numbers. (e.g., Ñ, O, D, Ñ, O, D, Ñ, ___, ___, ___ )	PLATO Modules are not available for this learning expectation.
			PO 2. Extend a grade level appropriate repetitive pattern.(e.g., 12, 22, 32, ___, ___, ___)	PLATO Modules are not available for this learning expectation.
			PO 3. Create grade level appropriate patterns.	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. Find the missing element (addend, subtrahend, minuend, sum, and difference) in addition and subtraction number sentences for sums through 18 and minuends through 9 (e.g., 13 - _ = 8).	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.
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. Compare attributes of two-dimensional shapes (square, rectangle, triangle, and circle).	PLATO Modules are not available for this learning expectation.
			PO 2. Recognize congruent shapes.	PLATO Modules are not available for this learning expectation.
			PO 3. Recognize line(s) of symmetry for 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 (flip/reflection).	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. Identify the type of measure (e.g., weight, height, and time) for each attribute of an object.	Math Expeditions B    ·Time B - Time       ·Tell time to the half hour
				·Measurement B - Length       ·Measure with an inch ruler
				·Measurement B - Mass, Weight       ·Measure weight
				·Measurement B - Capacity       ·Convert cups, pints, quarts
				Math Expeditions C    ·Measurement C - Length       ·Identify units of length
				Math Expeditions D    ·Time D - Time       ·Solve problems
				·Measurement D - Length       ·Identify units of length
			PO 2. Select the appropriate U.S. customary measure of accuracy - · length – inches , feet, yards, miles· capacity/volume – pints, quarts · mass/weight – ounces.	Math Expeditions C    ·Measurement C - Length       ·Identify units of length
				Math Expeditions D    ·Measurement D - Length
			PO 3. Tell time to the quarter hour using analog and digital clocks.	Math Expeditions B    ·Time B - Time       ·Tell time to the half hour
			PO 4. Determine the passage of time using units of days and weeks within a month using a calendar.	Math Expeditions D    ·Time D - Time       ·Solve problems
			PO 5. Select the appropriate tool to measure the given characteristic of an object.	PLATO Modules are not available for this learning expectation.
			PO 6. Measure a given object using the appropriate unit of measure- · length – inches, miles· capacity/volume – pints, quarts · mass/weight – ounces.	Math Expeditions C    ·Measurement C - Length       ·Identify units of length
				Math Expeditions D    ·Measurement D - Length
			PO 7. State equivalent relationships:· 12 inches = 1 foot· 60 minutes = 1 hour· 24 hours = 1 day· 7 days = 1 week· 12 months = 1 year· 100 pennies = 1 dollar· 10 dimes = 1 dollar· 4 quarters = 1 dollar.	Math Expeditions B    ·Measurement B - Capacity       ·Convert cups, pints, quarts
Strand 5: Structure and Logic	Concept 1: Algorithms and Algorithmic Thinking - Use reasoning to solve mathematical problems in contextual situations.		PO 1. Create contextual problems that require addition or subtraction with one or two-digit numbers.	PLATO Modules are not available for this learning expectation.
	Concept 2: Logic, Reasoning, Arguments, and Mathematical Proof - Evaluate situations, select problem-solving strategies, draw logical conclusions, develop and describe solutions and recognize their applications.		PO 1. Identify the concepts some, every and many within the context of logical reasoning.	PLATO Modules are not available for this learning expectation.
			PO 2. Identify the concepts all and none within the context of logical reasoning.	PLATO Modules are not available for this learning expectation.