| Knowledge of Algebra, Patterns, and Functions: Students will algebraically represent, model, analyze, or solve mathematical or real-world problems involving patterns or functional relationships. |
| Patterns and Functions
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Identify, copy, and extend non-numeric patterns |
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Match patterns kinesthetically such as: clap/snap/clap...
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Recognize simple patterns
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Represent simple repeating patterns using no more than 2 different objects, and different actions in the core of the pattern
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Continue a simple pattern
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Create a simple pattern of 2 different objects when given the rule
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Identify patterns in real-world situations
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| Expressions, Equations, and Inequalities
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Explore relationships by comparing groups of no more than 5 objects to determine more or less
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| Knowledge of Geometry: Students will apply the properties of one-, two-, or three-dimensional geometric figures to describe, reason, or solve problems about shape, size, position, or motion of objects. |
| Plane Geometric Figures
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Recognize and use the attributes of plane geometric figures |
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Sort objects by one attribute such as: shape, color, and size
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Name the attributes of plane figures such as: shape, color, size
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Match triangles, circles, and squares
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Identify triangles, circles, and squares in the environment
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| Solid Geometric Figures
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Recognize and use the attributes of solid geometric figures |
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Sort objects by one attribute such as: size, shape, weight, length
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Find solid figures in the environment
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| Transformations
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Begin to recognize a transformation |
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Tell position by using words such as: over, under, above, on, next to, below, beside, behind
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Recognize a slide using concrete materials
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| Knowledge of Measurement: Students will identify attributes, units, or systems of measurements or apply a variety of techniques, formulas, tools or technology for determining measurements. |
| Measurement Units
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Recognize and use measurement attributes |
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Demonstrate an understanding of comparative attributes such as: bigger, smaller, longer, shorter, lighter, heavier, shorter, taller, hotter, colder
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Compare and describe objects according to a single attribute
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| Measurement Tools
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Measure in non-standard units |
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Measure length of objects
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Explore the capacity of containers
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Explore the weight of objects
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| Processes of Mathematics: Students demonstrate the processes of mathematics by making connections and applying reasoning to solve problems and to communicate their findings. |
| Problem Solving
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Apply a variety of concepts, processes, and skills to solve problems |
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Identify the question in the problem
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Decide if enough information is present to solve the problem
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Make a plan to solve a problem
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Apply a strategy, i.e., draw a picture, guess and check, finding a pattern, writing an equation
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Select a strategy, i.e., draw a picture, guess and check, finding a pattern, writing an equation
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Identify alternative ways to solve a problem
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Show that a problem might have multiple solutions or no solution
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Extend the solution of a problem to a new problem situation
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| Reasoning
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Justify ideas or solutions with mathematical concepts or proofs |
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Use inductive or deductive reasoning
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Make or test generalizations
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Support or refute mathematical statements or solutions
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Use methods of proof, i.e., direct, indirect, paragraph, or contradiction
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| Communication
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Present mathematical ideas using words, symbols, visual displays, or technology |
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Use multiple representations to express concepts or solutions
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Express mathematical ideas orally
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Explain mathematically ideas in written form
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Express solutions using concrete materials
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Express solutions using pictorial, tabular, graphical, or algebraic methods
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Explain solutions in written form
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Ask questions about mathematical ideas or problems
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Give or use feedback to revise mathematical thinking
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| Connections
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Relate or apply mathematics within the discipline, to other disciplines, and to life |
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Identify mathematical concepts in relationship to other mathematical concepts
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Identify mathematical concepts in relationship to other disciplines
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Identify mathematical concepts in relationship to life
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Use the relationship among mathematical concepts to learn other mathematical concepts
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