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Algebraic Thinking Expectation |
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1. Describes, extends, creates, predicts, and generalizes numerical and geometric patterns using a variety of models (for example, lists, tables, graphs, charts, diagrams, calendar math).
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2. poses and solves problems by identifying a predictable visual or numerical pattern such as: | Day | 1 | 2 | 3 | 4 | ... | n | | Number of Calls | 4 | 7 | 10 | ? | | ? |
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3. Explains and expresses numerical relationships and pattern generalizations, using algebraic symbols (for example, in the problem above, the number of calls on the nth day can be expressed as 3n+1).
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4. Knows mathematical relationships in patterns (for example, Fibonacci numbers: 1, 1, 2, 3, 5, 8,…).
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5. Analyzes and generalizes number patterns and states the rule for relationships (for example, 1, 4, 9, 16, ...; the rule: +3, +5, +7, ...; or "squares of the whole numbers").
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6. Applies the appropriate rule to complete a table or a chart, such as:
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7. Solves problems involving simple equations or inequalities using concrete or pictorial models, symbolic expressions, or written phrases.
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Physical Problems Toothpick Patterns
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8. Uses a variable to represent a given verbal expression (for example, 5 more than a number is n + 5).
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Recipes as Equations
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9. Translates equations into verbal and written problem situations.
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Railroad Tycoon
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