Core Ideas
 Core Idea 1: Number Properties Understand numbers, ways of representing numbers, relationships among numbers, and number systems. Develop a sense of whole numbers and represent and use them in flexible ways, including relating, composing, and decomposing numbers. Develop understanding of the relative magnitude of whole numbers and the concepts of sequence, quantity, and the relative positions of numbers. Understand the place-value structure of the base-ten number system including being able to represent and compare whole numbers and decimals (in the context of dollars and cents). Core Idea 2: Number Operations Understand the meanings of operations and how they relate to each other, make reasonable estimates, and compute fluently. Understand different meanings of addition and subtraction of whole numbers and the relationship between the two operations. Understand the effects of adding and subtracting whole numbers. Understand multiplication as repeated addition, an area model, an array, and an operation on scale. Develop fluency in adding and subtracting whole numbers. Develop and use strategies to estimate and judge the reasonableness of results. Solve problems involving dollars and cents. Core Idea 3: Patterns, Functions, and Algebra Understand patterns and use mathematical models to represent and to understand qualitative and quantitative relationships. Describe and extend geometric and numeric patterns. Represent and analyze patterns using words and/or tables. Illustrate general principles and properties of operations, such as commutativity, using specific numbers. Use concrete, pictorial, and verbal representations to develop an understanding of invented and conventional symbolic notations. Model problem situations with objects and use representations such as graphs and tables to draw conclusions. Describe qualitative change (such as students growing taller). Describe quantitative change (such as a student's growing two inches in one year). Solve simple problems involving a functional relationship (two quantities which vary together, like finding the total cost of multiple items when you know the cost of one). Core Idea 4: Geometry and Measurement Recognize and use characteristics, properties, and relationships of two-dimensional geometric shapes and apply appropriate techniques to determine measurements. Choose appropriate units and tools for particular tasks and use these units and tools to estimate and measure (length, weight, temperature, time, and capacity). Identify and compare attributes of two-dimensional shapes and develop vocabulary to describe the attributes. Calculate perimeter and area and be able to distinguish between the two measures. (Area may be measured by covering a figure with squares.) Use visualization, spatial reasoning, and geometric modeling to solve problems. Recognize geometric ideas and relationships and apply them to problems. Core Idea 5: Data Analysis Collect, organize, display, and interpret data about themselves and their surroundings. Describe important features of a set of data (maximum, minimum, increasing, decreasing, most, least, and comparison). Represent data using tables, line plots, bar graphs, and pictographs.