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.
 


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