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K.1
Numeric Reasoning: Students will develop Numeric Reasoning and an understanding of Number and Operations by solving problems in which there is a need to represent and model real numbers verbally, physically, and symbolically; to explain the relationship between numbers; to determine the relative magnitude of real numbers; to use operations with understanding; and to select appropriate methods of calculations from among mental math, paper-and-pencil, calculators, or computers.
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K.1.1
Number sense
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K.1.1.1
Count sets of objects up to 20
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K.1.1.2
Connect number words and numerals (up to 10) to the quantities they represent using various physical models and representations
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K.1.1.3
Sequence numbers and explain what comes before, after and between other numbers
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K.1.1.4
Show more than one way to make numbers up to 10.
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K.1.2
Operations
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K.1.2.1
Use manipulatives to model putting together and taking apart (e.g., you have one cookie and you get two more cookies
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K.1.2.2
Use manipulatives to show more than one way to make a target number up to 6
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K.2
Algebraic Reasoning: Students will develop Algebraic Reasoning and an understanding of Patterns and Functions by solving problems in which there is a need to recognize and extend a variety of patterns; to progress from the concrete to the abstract using physical models, equations, and graphs; to describe, represent, and analyze relationships among variable quantities; and to analyze, represent, model, and describe real-world functional relationships.
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K.2.1
Patterns and change
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K.2.1.1
Sort objects by a given attribute (e.g., size, color, shape)
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K.2.1.2
Repeat and extend a simple repeating pattern given the core
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K.2.1.3
Find visual patterns in the world around us (e.g., patterns in the rug, in the wallpaper)
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K.2.1.4
Discuss things that repeat in cyclic patterns, (e.g., day and night, days of week)
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K.2.2
Representations
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K.2.2.1
Model join and separate situations with objects and pictures
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K.2.3
Symbols
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K.2.3.1
Record mathematical thinking symbolically with teacher assistance
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K.3
Geometric Reasoning: Students will develop Geometric Reasoning and an understanding of Geometry and Measurement by solving problems in which there is a need to recognize, construct, transform, analyze properties of, and discover relationships among geometric figures; and to measure to a required degree pf accuracy by selecting appropriate tools and units.
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K.3.1
Classification
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K.3.1.1
Name and sort figures by shape (e.g., rectangle, triangle, circle)
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K.3.1.2
Recognize attributes and parts of two-dimensional and three-dimensional shapes
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K.3.1.3
Recognize geometric shapes and structures in the environment
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K.3.2
Location and transformation
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K.3.2.1
Find and name locations with simple relationships (e.g., near to, over, under, beside, between, outside, inside)
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K.3.3
Measurement
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K.3.3.1
Compare the length of two objects by placing them side by side
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K.3.3.2
Find items that are longer than or shorter than a given measure (e.g., longer than 10 linker cubes)
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K.3.3.3
Talk about time using calendar (e.g., today, tomorrow and yesterday, and the date)
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K.3.3.4
Describe and compare volume/capacity of two objects (e.g., full/empty, more/less)
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K.3.3.5
Describe and compare the mass/weight of two objects (e.g., light/heavy)
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K.4
Quantitative Reasoning: Students will develop Quantitative Reasoning and an understanding of Data Analysis and Probability by solving problems in which there is a need to collect, appropriately represent, and interpret data; to make inferences or predictions and to present convincing arguments; and to model mathematical situations to determine the probability.
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K.4.1
Collect
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K.4.1.1
Gather and report data about oneself and familiar surroundings using teacher defined categories (preference out of two choices)
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K.4.2
Represent
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K.4.2.1
Use physical objects to organize and informally represent categorical data
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K.4.3
Analyze
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K.4.3.1
Interpret data by making simple comparisons (e.g., more, less, the same)
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K.4.4
Probability
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K.4.4.1
Explore events as likely or unlikely based on shared or personal experiences
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