Core Ideas
 Core Idea 1: Number Properties Understand numbers, ways of representing numbers, relationships among numbers, and number systems. Understand whole numbers and represent and use them in flexible ways, including relating, composing, and decomposing numbers. Understand the relative magnitude of whole numbers and the concepts of sequences, quantity, and the relative position of numbers. Demonstrate an understanding of the base-ten number system and place value concepts. Represent commonly used fractions such as 1/2, 1/3, and 1/4 in a variety of ways. Core Idea 2: Number Operations Understand the meanings of operations and how they relate to each other, make reasonable estimates, and compute fluently. Demonstrate fluency in adding and subtracting whole numbers. Use strategies to estimate and judge the reasonableness of results. Understand situations that entail multiplication and division such as equal groupings of objects and equal sharing. Core Idea 3: Patterns, Functions, and Algebra Understand patterns and use mathematical models to represent and understand qualitative and quantitative relationships. Describe, extend, and create patterns of sound, shape, and number and translate from one representation to another. Describe, extend, and create growing as well as repeating patterns. Compare principles and properties of operations, such as commutativity, between addition and subtraction. Use concrete, pictorial, and verbal representations to develop an understanding of symbolic notations. Describe change quantitatively such as a student's growing two inches in one year. Core Idea 4: Geometry and Measurement Recognize and use characteristics, properties, and relationships of two- and three-dimensional geometric shapes and apply appropriate techniques to determine measurements. Describe and classify two- and three-dimensional shapes according to their attributes and/or parts of their shapes Develop an understanding of how shapes can be put together or taken apart to form other shapes. Develop an understanding of line symmetry. Understand how to measure using non-standard and standard units. Select an appropriate unit and tool for the attribute being measured (length, volume, weight, area, time). Use number concepts in geometric contexts. Core Idea 5: Data Analysis Collect, organize, display, and interpret data about themselves and their surroundings. Write a survey question for a given situation. Represent and interpret data using pictographs, bar graphs, tally charts, Venn diagrams, and other representations. Describe and compare data using qualitative and quantitative measures. Represent the same data in more than one way.