Pre-Kindergarten

Mathematical Practices: Explanation and examples

Mathematics Standards: Counting and Cardinality: 

Mathemtaics Standards: Operations and Algebraic Thinking

Mathematics Standards: Measurement and Data

Mathematics Standards; Geometry

Make sense of problems and persevere in solving them.

Reason abstractly and quanitively.

Construct viable arguments and critiwue the reasoning of others

Model with Mathematics

Use appropriate tools straregically 

Attend to precision

Look for and make use of structure

Look for and express regulatiry in repeated reasoning

Count to 10 by ones

Represent a number of objects by matching to a written numeral 0-5

Understand the relationship between numerals and quantities to 10.

Count to answer "how many?" questions about as many as 10 things arranged in a line, rectangular array, or a circle, or as many as 5 things in a scattered configuration; given a number from 1-10, count out that many objects from a variety of cultural contexts, including those of Montana American Indians 

Identify "first" and "last" related to order or position

With support and prompting, demonstrate an understanding of addition and subtraction by using objects, fingers and respondin to practical situations.

Recognize the attributes of length, area, weight, and capasity of everyday objects using apporpriate vocabulary

Compare the attributes of length and weight for two objects, including longer/shorter, same length; heavier/lighter, same weight; holds more/less, holds the same amount

Sort, Catagorize, and classify objects by more than one attribute.

Identify relative position of objects in space and use appropriate language

Identify various two-dimensional shapes regardless of their size

Analyze, compare and sort two- and three-dimensional shapes and objects of different sizes, using informal language to describe their similarities, differences and other attributes.

Create and represent three-dimensional shapers using various manipulative materials

When counting objects, say the number names in the standard order, pairing each object with one and only one number name and each number name with one and only one object from a variety of cultural contexts, including those of Montana American Indians.

Understand that the last number name said tells the number of objects counted. The number of objects is the same regardless of their arrangement or order in which they were counted.

Understand that each successive number name refers to a wuanity that is one larger.