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K.1
Number Sense and Operation
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K.1.1
Demonstrate relationships among whole numbers; identify place value up to 100,000 and compare numbers (e.g., greater than, less than, and equal to).
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K.1.1.A
Represent quantities with numbers up to 10; verbally, with manipulatives, and in writing.
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K.1.1.B
Compare and order sets of objects or numerals by both cardinal and ordinal meanings (i.e., first, second, third, last).
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K.1.2
Estimate sums, differences, products, and quotients when solving problems. Add, subtract, multiply (three-digit by two-digit factors), and divide (two-digit dividends by one-digit divisors) to solve problems. Demonstrate fluency with basic facts.
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K.1.3
Develop multiplication and division concepts, apply number and operation models and strategies, and reason and justify using properties of operations.
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K.1.3.A
Use objects to show joining and separating problems.
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K.1.4
Identify and model common fractions such as, tenths, fourths, thirds, and halves; and decimals such as money and place value to 0.001; and recognize and compare equivalent representations.
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K.1.5
Select and apply appropriate standard units and tools to measure length, time, and temperature within relevant scientific and cultural situations, including those of Montana American Indians.
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K.1.5.A
Order and compare objects by length or weight using both direct and indirect methods.
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K.2
Data Analysis Mathematics
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K.2.1
Collect, represent, and organize data in tables, dot plots, bar graphs, pictographs, and stem-and-leaf plots using technology when appropriate.
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K.2.1.A
Sort data by one or more attributes using manipulatives (e.g., Large, small; color; Does it roll? Does it stack?).
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Sorting, ordering, and classifying: Same (Kindergarten - N.1)
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Sorting, ordering, and classifying: Different (Kindergarten - N.2)
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Sorting, ordering, and classifying: Same and different (Kindergarten - N.3)
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Sorting, ordering, and classifying: Classify by color (Kindergarten - N.4)
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Sorting, ordering, and classifying: Venn diagrams (Kindergarten - N.5)
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K.2.2
Solve problems and make decisions using data descriptors such as minimum, maximum, median, and mode within scientific and cultural contexts, including those of Montana American Indians.
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K.2.2.A
Describe one or more attributes in a set of data to solve problems.
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Positions: Inside and outside (Kindergarten - K.1)
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Positions: Left, middle, and right (Kindergarten - K.2)
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Positions: Top, middle, and bottom (Kindergarten - K.3)
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Positions: Above and below (Kindergarten - K.4)
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Positions: Location in a three-by-three grid (Kindergarten - K.5)
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Sorting, ordering, and classifying: Same (Kindergarten - N.1)
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Sorting, ordering, and classifying: Different (Kindergarten - N.2)
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Sorting, ordering, and classifying: Same and different (Kindergarten - N.3)
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Sorting, ordering, and classifying: Classify by color (Kindergarten - N.4)
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Sorting, ordering, and classifying: Venn diagrams (Kindergarten - N.5)
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Measurement: Long and short (Kindergarten - Q.1)
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Measurement: Tall and short (Kindergarten - Q.2)
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Measurement: Light and heavy (Kindergarten - Q.3)
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Measurement: Compare size, weight, and capacity (Kindergarten - Q.5)
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K.2.3
Describe events from multicultural contexts, including those of Montana American Indians, as likely or unlikely and discuss the degree of likelihood using words such as certain, equally likely, and impossible.
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K.3
Geometric Reasoning
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K.3.1
Describe, compare, and analyze attributes of two-dimensional shapes.
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K.3.1.A
Visually identify and describe squares, triangles, circles, and rectangles.
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K.3.1.B
Use two-dimensional shapes to represent objects in their environment.
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K.3.2
Describe attributes of three-dimensional shapes such as cubes and other rectangular prisms, pyramids, cylinders, cones, and spheres.
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K.3.2.A
Using concrete models, visually identify and describe spheres, cubes, and cylinders.
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K.3.2.B
Use three-dimensional shapes to identify spheres, cubes and cylinders in their environment.
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K.3.3
Use spatial reasoning to identify slides and flips of congruent figures within artistic and cultural contexts, including those of Montana American Indians.
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K.3.4
Estimate and measure linear attributes of objects in metric units such as centimeters and meters and customary units such as inch, foot, and yard.
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K.3.5
Define and determine area and perimeter of common polygons using concrete tools such as grid paper, objects, or technology and justify the strategy used.
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K.4
Algebraic and Functional Reasoning
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K.4.1
Describe, extend, and make generalizations about geometric or numeric patterns.
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K.4.1.A
Identify, duplicate, and extend simple repeating and growing (e.g., AB, ABB, ABBBÂ…) patterns using models.
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K.4.2
Use letters, boxes, or symbols to represent numbers in simple expressions or equations to demonstrate a basic understanding of variables.
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K.4.3
Use number patterns to investigate properties of numbers such as even or odd and properties of operations such as commutative, associative, distributive, and the multiplicative and additive identities.
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K.4.4
Develop an understanding of equivalence by expressing numbers, measures, and numerical expressions involving operations in a variety of ways.
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K.4.4.A
Demonstrate equivalence with multiple representations (e.g., manipulatives, scales, coins).
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K.4.5
Model problem situations with manipulatives or technology and use multiple representations such as words, pictures, tables, or graphs to draw conclusions using cultural contexts, including those of Montana American Indians.
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