IXL - Montana kindergarten math standards

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Skills available for Montana kindergarten math standards

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Standards document:

2010 Common Core State Standards 2010 Common Core State Standards
2009 Montana Essential Learning Expectations 2009 Montana Essential Learning Expectations

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K.1 Number Sense and Operation

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).
K.1.1.A Represent quantities with numbers up to 10; verbally, with manipulatives, and in writing.
K.1.1.B Compare and order sets of objects or numerals by both cardinal and ordinal meanings (i.e., first, second, third, last).
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.
K.1.3 Develop multiplication and division concepts, apply number and operation models and strategies, and reason and justify using properties of operations.
K.1.3.A Use objects to show joining and separating problems.
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.
- Fractions: Identify halves, thirds, fourths (Kindergarten - L.1)
- Fractions: Equal parts (Kindergarten - L.2)
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.
K.1.5.A Order and compare objects by length or weight using both direct and indirect methods.

K.2 Data Analysis Mathematics

K.2.1 Collect, represent, and organize data in tables, dot plots, bar graphs, pictographs, and stem-and-leaf plots using technology when appropriate.
K.2.1.A Sort data by one or more attributes using manipulatives (e.g., Large, small; color; Does it roll? Does it stack?).
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.
K.2.2.A Describe one or more attributes in a set of data to solve problems.
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.
- Probability: More or less likely (Kindergarten - P.1)

K.3 Geometric Reasoning

K.3.1 Describe, compare, and analyze attributes of two-dimensional shapes.
K.3.1.A Visually identify and describe squares, triangles, circles, and rectangles.
K.3.1.B Use two-dimensional shapes to represent objects in their environment.
- Geometry: Relate planar and solid figures (Kindergarten - S.4)
- Geometry: Geometry of everyday objects (Kindergarten - S.7)
K.3.2 Describe attributes of three-dimensional shapes such as cubes and other rectangular prisms, pyramids, cylinders, cones, and spheres.
K.3.2.A Using concrete models, visually identify and describe spheres, cubes, and cylinders.
- Geometry: Identify solid figures (Kindergarten - S.3)
- Geometry: Relate planar and solid figures (Kindergarten - S.4)
K.3.2.B Use three-dimensional shapes to identify spheres, cubes and cylinders in their environment.
- Geometry: Geometry of everyday objects (Kindergarten - S.7)
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.
- Geometry: Flip, turn, and slide (First grade - J.10)
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.
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.
- Geometry: Perimeter - word problems (Second grade - T.8)
- Geometry: Area (Second grade - T.9)

K.4 Algebraic and Functional Reasoning

K.4.1 Describe, extend, and make generalizations about geometric or numeric patterns.
K.4.1.A Identify, duplicate, and extend simple repeating and growing (e.g., AB, ABB, ABBB) patterns using models.
K.4.2 Use letters, boxes, or symbols to represent numbers in simple expressions or equations to demonstrate a basic understanding of variables.
- Addition: Complete the addition sentence (First grade - B.12)
- Subtraction: Complete the subtraction sentence (First grade - D.13)
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.
K.4.4 Develop an understanding of equivalence by expressing numbers, measures, and numerical expressions involving operations in a variety of ways.
K.4.4.A Demonstrate equivalence with multiple representations (e.g., manipulatives, scales, coins).
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.