Throughout Kindergarten-Grade 2 Students:

• Build a foundation of basic understandings in number, operation, and quantitative reasoning; patterns; relationships, and algebraic thinking; geometry and spatial reasoning; measurement; probability and statistics
  
• Use numbers in ordering, labeling, and expressing quantities and relationships to solve problems and translate informal language into mathematical symbols
  
• Use patterns to describe objects, express relationships, make predictions, and solve problems as they build an understanding of number, operation, shape, and space
  
• Use informal language and observation of geometric properties to describe shapes, solids, and locations in the physical world and begin to develop measurement concepts as they identify and compare attributes of objects and situations
  
• Collect, organize, and display data and use information from graphs to answer questions, make summary statements, and make informal predictions.
  

• Continue to build a foundation of basic understandings and use algorithms for addition, subtraction, multiplication, and division as generalizations connected to concrete experiences
  
• Develop basic concepts of fractions and decimals
  
• Use language and organizational structures to represent and communicate relationships, make predictions, and solve problems
  
• Select and use formal language to describe their reasoning as they identify, compare, and classify shapes and solids
  
• Use numbers, standard units, and measurement tools to describe and compare objects, make estimates, and solve application problems.
  
• Organize data, choose an appropriate method to display the data, and interpret the data to make decisions and predictions and solve problems.
  

• Build a foundation of basic understandings in number, operation, and quantitative reasoning; patterns, relationships, and algebraic thinking; geometry and spatial reasoning; measurement; and probability and statistics
  
• Use concepts, algorithms, and properties of rational numbers to explore mathematical relationships and to describe increasingly complex situations
  
• Use algebraic thinking to describe how a change in one quantity in a relationship results in a change in the other; and they connect verbal, numeric, graphic, and symbolic representations of relationships
  
• Use geometric properties and relationships, as well as spatial reasoning, to model and analyze situations and solve problems
  
• Communicate information about objects or situations by quantifying attributes, generalize procedures from measurement experiences, and use the procedures to solve problems
  
• Use appropriate statistics, representations of data, reasoning, and concepts of probability to draw conclusions, evaluate arguments, and make recommendations.