Mathematics

Number & Operations:

• Recognizes numerals and number names (0-10).
• Reads, writes, and sequences numbers up to 10.
• Connects numerals to the quantities they represent.
• Records and represents quantities using pictures, numbers, and/or words.
• Counts forward, from any given number, with understanding by 1 to 30.
• Uses an accurate strategy for counting objects (a strategy that includes one-to-one correspondence), can keep track of quantities, and double-checks the total (up to 20 objects).
• Compares two quantities up to 30 and identifies which quantity is more and which is less
• Uses language to describe and compare amounts (less, least, more, most, same, equal).
• Orders quantities from least to most and most to least.
• Finds the total of two quantities up to 12.
• Models combining and separating stories and number combinations using objects
• Develops strategies for combining and separating stories.
• Records and represents problem solutions, strategies, and number combinations using pictures, numbers and/or words.

Geometry:

• Becomes familiar with mathematical vocabulary to describe and name 2-D shapes.
• Observes and describes attributes of 2-D shapes, including parts of the shapes.
• Combines 2-D shapes to form larger 2-D shapes.
• Observes and describes attributes of 3-D shpes, including parts of the shape.
• Becomes familiar with mathematical vocabulary for describing 3-D shapes.
• Puts 3-D shapes together to make other shapes.
• Finds combinations of shapes to fill an area.

Measurement:

• Recognizes length as an attribute of an object.
• Measures length by direct comparison.
• Describes and compares length using vocabulary such as longer than, shorter than, the same as.
• Estimates, measures and compares the weight and capacity of objects using appropriate terminology with nonstandard units.
• Sequences events.
• Interprets and uses a calendar.

Data & Probability:

• Identifies and describes attributes of objects and sets of objects.
• Sorts a collection of objects in multiple ways.
• Describes Describes categories for sorting.
• Poses questions to gather information about peers and surroundings.
• Collects and organizes data using concrete Objects, pictures, numbers, labels or words, and tallies.
• Represents data using objects, pictographs, lists and tallies.
• Describes and interprets data to explain what the data show.

Algebra:

• Recognizes and describes a repeating pattern; discriminates between a pattern and a random arrangement or design.
• Copies, constructs, and extends patterns (i.e. a-b, a-a-b-b, and a-b-a).
• Predicts and verifies what comes next in a pattern.
• Identifies and constructs the unit of pattern (i.e. the element that repeats).
• Begins to decompose patterns into their units.
• Makes and compares patterns that use the same unit structure (i.e. recognizes similarities among several different kinds of a-b patterns).
• Constructs and extends patterns that grow or shrink in a predictable way.
• Defines a “rule” for how a pattern grows (or shrinks).

Communication & Representation:

• Creates and uses representations to organize, record, and communicate mathematical ideas.
• Selects and applies appropriate mathematical representations to slove problems and demonstrate solution methods.
• Presents mathematical ideas and solutions in written, oral and visual forms.
• Communicates mathematically thinking coherently to others.
• Uses the language of mathematics to precisely express mathematical ideas and solution methods.
• Analyzes and evaluates the mathematical thinking and strategies of others.

Problem Solving:

• Selects, develops, adapts and applies strategies to solve a wide variety of problems.
• Transfers and generalizes previous experience to new problem solving situations.
• Builds new mathematical knowledge through problem solving.
• Demonstrates persistence in problem solving.
• Verifies results.