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 E
Math Expeditions F
Math Expeditions G
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 |
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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 5 |
PO 1. Make models that represent improper fractions. |
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PLATO Modules are not available for this learning expectation. |
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PO 10. Recognize that 1 is neither a prime nor a composite number. |
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PLATO Modules are not available for this learning expectation. |
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PO 11. Sort whole numbers (through 50) into sets containing only prime numbers or only composite numbers. |
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PLATO Modules are not available for this learning expectation. |
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PO 2. Identify symbols, words, or models that represent improper fractions. |
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PLATO Modules are not available for this learning expectation. |
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PO 3. Use improper fractions in contextual situations. |
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PLATO Modules are not available for this learning expectation. |
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PO 4. Compare two proper fractions or improper fractions with like denominators. |
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Math Expeditions E |
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Math Expeditions G |
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PO 5. Order three or more unit fractions, proper or improper fractions with like denominators or mixed numbers with like denominators. |
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Math Expeditions G |
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PO 6. Compare two whole numbers, fractions, and decimals. (e.g., 1/2 to 0.6) |
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PLATO Modules are not available for this learning expectation. |
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PO 7. Order whole numbers, fractions, and decimals. |
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Math Expeditions E |
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·Decimals E - Decimals |
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Math Expeditions F |
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·Decimals F - Decimals |
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Math Expeditions G |
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·Fractions G - Fractions |
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PO 8. Determine the equivalency between and among fractions, decimals, and percents in contextual situations. |
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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 9. Identify all whole number factors and pairs of factors for a number. |
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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. Select the grade level appropriate operation to solve word problems. |
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PLATO Modules are not available for this learning expectation. |
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PO 10. Simplify fractions to lowest terms. |
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Math Expeditions E |
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·Add & subtract same fractions |
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·Add & subtract different fractions |
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Math Expeditions F |
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·Add & subtract different fractions |
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·Add mixed numbers |
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·Subtract mixed numbers |
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·Multiply fractions & mixed numbers |
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PO 11.Add or subtract proper fractions and mixed numbers with like denominators with regrouping. |
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Math Expeditions E |
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Math Expeditions F |
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·Add mixed numbers |
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·Subtract mixed numbers |
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Math Expeditions G |
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·Subtract mixed numbers |
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PO 12. Add or subtract decimals. |
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Math Expeditions E |
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Math Expeditions F |
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Math Expeditions G |
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PO 13. Multiply decimals. |
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Math Expeditions F |
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Math Expeditions G |
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PO 14. Divide decimals. |
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Math Expeditions G |
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PO 15. Simplify numerical expressions using the order of operations with grade appropriate operations on number sets. |
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PLATO Modules are not available for this learning expectation. |
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PO 2. Solve word problems using grade level appropriate operations and numbers. |
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PLATO Modules are not available for this learning expectation. |
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PO 3. Multiply whole numbers. |
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Math Expeditions E |
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·Multiply 3-digit by 1-digit numbers |
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·Multiply 4-digit by 1-digit numbers |
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·Multiply 2-digit by 2-digit numbers |
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·Multiply 3-digit by 2-digit numbers |
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Math Expeditions F |
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·Multiplying by tens and hundreds |
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·Multiply 2-digit by 2-digit numbers |
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·Multiply by 3-digit numbers |
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Math Expeditions G |
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·Multiply by 2, 3, 4-digit numbers |
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PO 4. Divide with whole numbers. |
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Math Expeditions E |
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·Divide 2-digit by 1-digit with remainders |
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·Divide 3-digit by 1-digit with remainders A |
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·Divide 3-digit by 1 digit with remainders B |
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·Divide by 2-digit with remainders A |
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·Divide by 2 digit with remainders B |
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Math Expeditions F |
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·Divide 3-digit by 1 digit with remainders A |
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·Divide 3-digit by 1-digit with remainders B |
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·Divide 3-digit and 4-digit by 1-digit with 0 |
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·Divide 2 and 3 digit by multiples of ten |
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·Divide by 2-digits with remainders |
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·Divide 3-digit and 4-digit by 2-digit A |
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·Divide 3-digit and 4-digit by 2-digit B |
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Math Expeditions G |
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·Divide 3, 4, or 5-digits by 1-digit numbers |
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·3-digits, 4-digits divided by 2-digit, multiples of 10 |
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·2-digits, 3-digits divided by 2-digit, 1-digit quotient |
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·Divide by 2-digits, 2-digit quotient |
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·3, 4, 5-digits divided by 2-digits |
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·4, 5, 6-digits divided by 3-digits |
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PO 5.Demonstrate the distributive property of multiplication over addition. |
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PLATO Modules are not available for this learning expectation. |
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PO 6. Demonstrate the addition and multiplication properties of equality. |
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PLATO Modules are not available for this learning expectation. |
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PO 7. Apply grade level appropriate properties to assist in computation. |
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PLATO Modules are not available for this learning expectation. |
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PO 8. Apply the symbol “[ ]” to represent grouping. |
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PLATO Modules are not available for this learning expectation. |
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PO 9. Use grade level appropriate mathematical terminology. |
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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. |
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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 4.1 x 2.7 about 12?) |
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PLATO Modules are not available for this learning expectation. |
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PO 3. Round to estimate quantities. |
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Math Expeditions E |
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·Decimals E - Decimals |
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Math Expeditions F |
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·Decimals F - Decimals |
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Math Expeditions G |
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·Round decimals |
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PO 4. Estimate and measure for area and perimeter. |
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Math Expeditions E |
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Math Expeditions F |
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PO 5. Compare estimated measurements between U.S. customary and metric systems. (e.g. a yard is about a meter) |
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PLATO Modules are not available for this learning expectation. |
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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. |
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PLATO Modules are not available for this learning expectation. |
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PO 2. Construct a double-bar graph, line plot, frequency table or three-set Venn diagram with appropriate labels and title from organized data. |
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PLATO Modules are not available for this learning expectation. |
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PO 3. Interpret graphical representations and data displays including bar graphs (including double-bar), circle graphs, frequency tables, three-set Venn diagrams, and line graphs that display continuous data. |
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Math Expeditions E |
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Math Expeditions F |
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Math Expeditions G |
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PO 4. Answer questions based on graphical representations, and data displays including bar graphs (including double-bar), circle graphs, frequency tables, three-set Venn diagrams, and line graphs that display continuous data. |
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Math Expeditions E |
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Math Expeditions F |
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Math Expeditions G |
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PO 5. Identify the mode(s) and mean (average) of given data. |
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Math Expeditions F |
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Math Expeditions G |
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PO 6. Formulate reasonable predictions from a given set of data. |
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PLATO Modules are not available for this learning expectation. |
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PO 7. Compare two sets of data related to the same investigation. |
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PLATO Modules are not available for this learning expectation. |
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PO 8. Solve contextual problems using graphs, charts, and tables. |
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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. |
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PLATO Modules are not available for this learning expectation. |
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PO 2. Describe the probability of events as being -· certain (represented by “1”);· impossible, (represented by “0”);neither certain nor impossible; (represented by a fraction less than 1). |
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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. |
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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. |
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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. |
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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). |
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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. |
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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 2 sets of different items, using a systematic approach. (e.g., shirts: t-shirt, tank top, sweatshirt; pants: shorts, jeans) |
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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). |
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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. |
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PLATO Modules are not available for this learning expectation. |
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PO 2. Extend a grade level appropriate iterative pattern. |
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PLATO Modules are not available for this learning expectation. |
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PO 3. Solve grade level appropriate iterative pattern problems. |
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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) |
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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 decimals for the variable. |
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PLATO Modules are not available for this learning expectation. |
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PO 2. Use variables in contextual situations. |
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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. (e.g., 15 = 45 ÷ n) |
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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. Describe patterns of change. |
constant rate (speed of movement of the hands on a clock) |
PLATO Modules are not available for this learning expectation. |
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increasing or decreasing rate (rate of plant growth) |
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. Recognize regular polygons. |
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Math Expeditions E |
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Math Expeditions F |
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PO 10. Understand that the sum of the angles of a triangle is 180°. |
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PLATO Modules are not available for this learning expectation. |
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PO 11. Draw two congruent geometric figures. |
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Math Expeditions F |
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Math Expeditions G |
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PO 12. Draw two similar geometric figures. |
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Math Expeditions F |
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Math Expeditions G |
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PO 13. Identify the lines of symmetry in a two-dimensional shape. |
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PLATO Modules are not available for this learning expectation. |
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PO 2. Draw two-dimensional figures by applying significant properties of each. (e.g., Draw a quadrilateral with two sets of parallel sides and four right angles.) |
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PLATO Modules are not available for this learning expectation. |
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PO 3. Sketch prisms, pyramids, cones, and cylinders. |
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PLATO Modules are not available for this learning expectation. |
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PO 4. Identify the properties of two- and three-dimensional geometric figures using appropriate terminology and vocabulary. |
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Math Expeditions E |
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Math Expeditions F |
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Math Expeditions G |
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PO 5. Draw points, lines line segments, rays, and angles with appropriate labels. |
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Math Expeditions E |
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Math Expeditions F |
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Math Expeditions G |
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PO 6. Recognize that all pairs of vertical angles are congruent. |
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PLATO Modules are not available for this learning expectation. |
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PO 7. Classify triangles as scalene, isosceles, or equilateral. |
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PLATO Modules are not available for this learning expectation. |
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PO 8. Recognize that a circle is a 360º rotation about a point. |
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PLATO Modules are not available for this learning expectation. |
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PO 9. Identify the diameter, radius and circumference of a circle. |
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Math Expeditions F |
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Math Expeditions G |
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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 reflections using geometric figures. |
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Math Expeditions G |
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PO 2. Describe the transformations that created a tessellation. |
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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. Graph points in the first quadrant on a grid using ordered pairs. |
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Math Expeditions F |
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Math Expeditions G |
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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. State an appropriate measure of accuracy - for a contextual situation (e.g., “What unit of measurement would you use to measure the top of your desk?”) |
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Math Expeditions E |
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Math Expeditions F |
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PO 2. Draw two-dimensional figures to specifications using the appropriate tools. (e.g., draw a circle with a 2 inch radius) |
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PLATO Modules are not available for this learning expectation. |
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PO 3. Determine relationships including volume (e.g., pints and quarts, milliliters and liters). |
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PLATO Modules are not available for this learning expectation. |
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PO 4. Convert measurement units to equivalent units within a given system (U.S. customary and metric). (e.g., 12 inches = 1 foot, 10 decimeters = 1 meter) |
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PLATO Modules are not available for this learning expectation. |
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PO 5. Solve problems involving perimeter of convex polygons. |
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Math Expeditions E |
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Math Expeditions F |
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Math Expeditions G |
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PO 6. Determine the area of figures composed of two or more rectangles on a grid. |
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Math Expeditions E |
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Math Expeditions F |
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PO 7. Solve problems involving area of simple polygons. |
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Math Expeditions E |
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Math Expeditions F |
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Math Expeditions G |
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PO 8. Describe the change in perimeter or area when one attribute (length, width) of a rectangle is altered. |
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PLATO Modules are not available for this learning expectation. |
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Strand 5: Structure and Logic |
Concept 1: Algorithms and Algorithmic Thinking - Use reasoning to |