May 4, 2004
PLATO© Correlation to the Arizona Academic Standards and Accountability
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 D
Math Expeditions E
Math Expeditions F
PLATO Learning, Inc. looks forward to supporting your initiatives in
providing successful educational programs using PLATO© computer-based lessons.
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Strand |
Concept |
Grade Level |
Performance Objective |
Section |
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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 4 |
PO 1. Read whole numbers in contextual situations. |
Math Expeditions D |
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Math Expeditions E |
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·Numeration E - Place Value |
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Math Expeditions F |
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·Numeration F - Order |
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·Numeration F - Place Value |
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PO 10. Identify symbols, words, or models that represent mixed numbers. |
Math Expeditions F |
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PO 11. Use mixed numbers in contextual situations. |
Math Expeditions F |
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PO 12. Compare two unit fractions (e.g., ½ to 1/5) or proper or mixed numbers with like denominators. |
Math Expeditions E |
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PO 13. Order three or more unit fractions or proper or improper fractions with like denominators. |
Math Expeditions E |
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PO 14. Use decimals in contextual situations. |
Math Expeditions E |
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Math Expeditions F |
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PO 15. Compare two decimals. |
Math Expeditions E |
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Math Expeditions F |
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PO 16. Order three or more decimals. |
Math Expeditions E |
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Math Expeditions F |
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PO 17. Determine the equivalency among decimals, fractions, and percents. (e.g., 49/100 = 0.49 = 49%) |
Math Expeditions D |
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Math Expeditions E |
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·Compare equivalent fractions |
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Math Expeditions F |
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PO 18. Identify all whole-number factors and pairs of factors for a given whole number through 144. |
PLATO Modules are not available for this learning expectation. |
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PO 19. Determine multiples of a given whole number with products through 144. |
Math Expeditions E |
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PO 2.Identify whole numbers in or out of order. |
Math Expeditions F |
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PO 3.Write whole numbers in or out of order. |
Math Expeditions F |
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PO 4. State place values for whole numbers. (e.g., In the number 203,495 what is the value of the 2?) |
Math Expeditions E |
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Math Expeditions F |
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PO 5. Construct models to represent place value concepts for the one’s, ten’s, hundred’s, and thousand’s places. |
PLATO Modules are not available for this learning expectation. |
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PO 6. Apply expanded notation to model place value. (e.g., 203,495 = 200,000 + 3,000 + 400 + 90 + 5) |
Math Expeditions D |
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·Write standard form to 9999 |
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·Write standard form to 999,999 |
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Math Expeditions E |
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Math Expeditions F |
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PO 7. Compare two whole numbers. |
Math Expeditions D |
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·Compare numbers to 9999 |
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Math Expeditions E |
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Math Expeditions F |
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PO 8. Order three or more whole numbers. |
Math Expeditions D |
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·Order numbers to 9999 |
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Math Expeditions E |
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Math Expeditions F |
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PO 9. Make models that represent mixed numbers. |
PLATO Modules are not available for this learning expectation. |
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Concept 2: Numerical Operations- Understand and apply numerical operations and their relationship to one another. |
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PO 1. Add whole numbers. |
Math Expeditions D |
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·Add three 1-digit numbers to 18 |
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·Add 2-digit plus 1-digit numbers |
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·Add two 2-digit numbers |
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·Add three or more 1-digit numbers |
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·Add three or more 2-digit numbers |
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·Add two 2, 3, or 4-digit numbers |
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Math Expeditions E |
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·Add two or more numbers |
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Math Expeditions F |
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·Add large numbers |
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PO 10. Apply the symbol: • and ( ) for multiplication, and ≤, ≥ . |
Math Expeditions D |
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PO 11. Use grade level appropriate mathematical terminology. |
PLATO Modules are not available for this learning expectation. |
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PO 12.Add or subtract fractions with like denominators, no regrouping. |
Math Expeditions D |
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Math Expeditions E |
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Math Expeditions F |
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PO 13. Simplify numerical expressions using the order of operations with grade appropriate operations on number sets. |
PLATO Modules are not available for this learning expectation. |
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PO 2. Subtract whole numbers. |
Math Expeditions D |
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·Subtract 1D from multiples of 10 |
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·Subtract 2D from multiples of 10 |
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·Subtract two 2-digit numbers |
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·Subtract 3-digit numbers |
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·Subtract 4-digit numbers |
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Math Expeditions E |
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·Subtract 2 or 3-digit numbers |
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·Subtract 4 of 5-digit numbers |
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Math Expeditions F |
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·Subtract numbers with zeros |
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PO 3. Select the grade level appropriate operation to solve word problems. |
PLATO Modules are not available for this learning expectation. |
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PO 4. Solve word problems using grade level appropriate operations and numbers. |
PLATO Modules are not available for this learning expectation. |
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PO 5.Multiply multi-digit numbers by two-digit numbers. |
Math Expeditions E |
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·Multiply 3-digit by 2-digit numbers |
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Math Expeditions F |
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PO 6. Divide with one- digit divisors. |
Math Expeditions D |
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Math Expeditions E |
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PO 7. State multiplication and division facts through 12s. |
Math Expeditions D |
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·Multiply with fives and sixes |
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·Multiply with sevens and eights |
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·Multiply with nines |
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·Number Operations D - Division |
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·Divide by 6-9 |
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·Divide by 1-9 |
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Math Expeditions E |
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·Multiply with fives and sixes |
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·Multiply with sevens and eights |
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·Multiply with nines |
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PO 8. Demonstrate the associative property of multiplication. |
PLATO Modules are not available for this learning expectation. |
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PO 9. Apply grade level appropriate properties to assist in computation. |
PLATO Modules are not available for this learning expectation. |
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Concept 3: Estimation- Use estimation strategies reasonably and fluently. |
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PO 1. Solve grade level appropriate problems using estimation. |
PLATO Modules are not available for this learning expectation. |
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PO 2. Use estimation to verify the reasonableness of a calculation. (e.g., Is 3284 x 343 = 1200 reasonable?) |
PLATO Modules are not available for this learning expectation. |
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PO 3. Estimate length and weight using both U.S. customary and metric units. |
Math Expeditions E |
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Math Expeditions F |
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PO 4. Estimate and measure for distance. |
Math Expeditions E |
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Math Expeditions F |
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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 |
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PO 1. Formulate questions to collect data in contextual situations. |
PLATO Modules are not available for this learning expectation. |
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PO 2. Construct a single-bar graph, line graph or two –set Venn diagram with appropriate labels and title from organized data. |
PLATO Modules are not available for this learning expectation. |
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PO 3. Interpret graphical representations and data displays including single-bar graphs, circle graphs, two-set Venn diagrams, and line graphs that display continuous data. |
Math Expeditions D |
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Math Expeditions E |
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Math Expeditions F |
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PO 4. Answer questions based on graphical representations and data displays including single-bar graphs, circle graphs, two-set Venn diagrams, and line graphs that display continuous data. |
Math Expeditions D |
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Math Expeditions E |
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Math Expeditions F |
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PO 5. Identify the mode(s) of given data. |
Math Expeditions F |
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PO 6. Formulate predictions from a given set of data. |
PLATO Modules are not available for this learning expectation. |
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PO 7. Solve contextual problems using graphs, charts, and tables |
PLATO Modules are not available for this learning expectation. |
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Concept 2: Probability - Understand and apply the basic concepts of probability. |
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PO 1. Name the possible outcomes for a probability experiment. |
PLATO Modules are not available for this learning expectation. |
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PO 2. Describe the probability of events as being more likely, less likely, equally likely, unlikely, certain, impossible, fair or unfair. |
PLATO Modules are not available for this learning expectation. |
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PO 3. Predict the outcome of a grade level appropriate probability experiment. |
PLATO Modules are not available for this learning expectation. |
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PO 4. Record the data from performing a grade level appropriate probability experiment. |
PLATO Modules are not available for this learning expectation. |
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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. |
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PO 6. Make predictions from the results of student-generated experiments using objects (e.g., coins, spinners and number cubes). |
PLATO Modules are not available for this learning expectation. |
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PO 7. Compare the results of two repetitions of the same grade level appropriate probability experiment. |
PLATO Modules are not available for this learning expectation. |
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Concept 3: Discrete Mathematics – Systematic Listing and Counting: Understand and demonstrate the systematic listing and counting of possible outcomes. |
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PO 1. Find all possible combinations when 1 item is selected from each of two sets containing up to three objects. (e.g. How many outfits can be made with 3 pants and 2 tee-shirts?) |
PLATO Modules are not available for this learning expectation. |
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Concept 4: Vertex-Edge Graphs - Understand and apply vertex-edge graphs. |
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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. |
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Strand 3: Patterns, Algebra, and Functions |
Concept 1: Patterns - Identify patterns and apply pattern recognition to reason mathematically |
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PO 1. Communicate a grade level appropriate iterative pattern, using symbols or numbers. |
PLATO Modules are not available for this learning expectation. |
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PO 2. Extend a grade level appropriate iterative pattern. |
PLATO Modules are not available for this learning expectation. |
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PO 3. Create grade level appropriate iterative patterns. |
PLATO Modules are not available for this learning expectation. |
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Concept 2: Functions and Relationships - Describe and model functions and their relationships |
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PO 1. Describe the rule used in a simple grade level appropriate function. (e.g., T-chart, input/output model) |
PLATO Modules are not available for this learning expectation. |
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Concept 3: Algebraic Representations - Represent and analyze mathematical situations and structures using algebraic representations |
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PO 1. Evaluate expressions involving the four basic operations by substituting given whole numbers for the variable. |
PLATO Modules are not available for this learning expectation. |
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PO 2. Use variables in contextual situations. |
PLATO Modules are not available for this learning expectation. |
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PO 3. Solve one-step equations with one variable represented by a letter or symbol using multiplication of whole numbers. (e.g., 12 = n x 4 ) |
PLATO Modules are not available for this learning expectation. |
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Concept 4: Analysis of Change - Analyze change in a variable over time and in various contexts. |
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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. |
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PO 2. Make simple predictions based on a variable (e.g., increase homework time as you progress through the grades). |
PLATO Modules are not available for this learning expectation. |
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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. |
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PO 1. Identify the properties of two-dimensional figures using appropriate terminology. |
Math Expeditions E |
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Math Expeditions F |
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PO 2. Identify models or illustrations of prisms, pyramids, cones, cylinders and spheres. |
PLATO Modules are not available for this learning expectation. |
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PO 3. Draw points, lines, line segments (open or closed endpoints), rays or angles. |
PLATO Modules are not available for this learning expectation. |
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PO 4. Classify angles. (e.g., right, acute, obtuse, straight) |
Math Expeditions E |
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Math Expeditions F |
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PO 5. Classify triangles as right, acute, or obtuse. |
PLATO Modules are not available for this learning expectation. |
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PO 6. Identify congruent geometric shapes. |
Math Expeditions F |
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PO 7. Identify similar shapes. |
Math Expeditions F |
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PO 8. Draw a two-dimensional shape that has line symmetry. |
PLATO Modules are not available for this learning expectation. |
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Concept 2: Transformation of Shapes- Apply spatial reasoning to create transformations and use symmetry to analyze mathematical situations. |
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PO 1. Demonstrate translation using geometric figures. |
PLATO Modules are not available for this learning expectation. |
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PO 2. Identify a tessellation. |
PLATO Modules are not available for this learning expectation. |
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Concept 3: Coordinate Geometry - Specify and describe spatial relationships using coordinate geometry and other representational systems. |
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PO 1. Name the coordinates of a point plotted in the first quadrant. |
Math Expeditions F |
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Concept 4: Measurement - Units of Measure - Geometric Objects Understand and apply appropriate units of measure, measurement techniques, and formulas to determine measurements. |
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PO 1. Identify the appropriate measure of accuracy for the area of an object.(e.g., sq. ft. or sq. miles) |
Math Expeditions D |
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Math Expeditions E |
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Math Expeditions F |
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PO 10. Differentiate between perimeter and area of quadrilaterals. |
Math Expeditions D |
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·Polygon area by counting squares |
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Math Expeditions E |
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Math Expeditions F |
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PO 2. Compute elapsed time using a clock (e.g., hours and minutes since or until…) or a calendar (e.g., days, weeks, years since or until…). |
Math Expeditions D |
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PO 3. Select an appropriate tool to use in a particular measurement situation. |
PLATO Modules are not available for this learning expectation. |
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PO 4. Approximate measurements to the appropriate degree of accuracy. |
PLATO Modules are not available for this learning expectation. |
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PO 5. Compare units of measure to determine more or less relationships including -· length -yards and miles, meters and kilometers and· weight - pounds and tons, grams and kilograms. |
PLATO Modules are not available for this learning expectation. |
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PO 6. State equivalent relationships. (e.g., 3 teaspoons = 1 Tablespoon, 16 cups = 1 gallon, 2000 pounds = 1 ton) |
PLATO Modules are not available for this learning expectation. |
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PO 7. Compare the weight of two objects using both U.S. customary and metric units. |
PLATO Modules are not available for this learning expectation. |
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PO 8. Determine perimeter of simple polygons. (e.g. square, rectangle, triangle) |
Math Expeditions D |
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Math Expeditions E |
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Math Expeditions F |
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PO 9. Determine area of squares and rectangles. |
Math Expeditions D |
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Math Expeditions E |
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Math Expeditions F |
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Strand 5: Structure and Logic |
Concept 1: Algorithms and Algorithmic Thinking - Use reasoning to solve mathematical problems in contextual situations. |
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PO 1. Discriminate necessary information from unnecessary information in a given grade level appropriate word problem. |
PLATO Modules are not available for this learning expectation. |
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PO 2. Develop an algorithm to calculate perimeter of simple polygons. |
Math Expeditions E |
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Math Expeditions F |
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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. |
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PO 1. Draw a conclusion from a Venn diagram. |
PLATO Modules are not available for this learning expectation. |
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PO 2. Identify simple valid arguments using if…then statements based on graphic organizers (e.g., 2-set Venn diagrams and pictures). |
PLATO Modules are not available for this learning expectation. |