MATH CURRICULUM

Grade K

-Patterns-

Students recognize similarities and generalize patterns; use patterns to create models and make predictions; describe the nature of patterns and relationships; and construct representations of mathematical relationships.

The learner will be able to:

  • explore manipulatives using: pattern blocks, unifix cubes, buttons, etc.
  • model patterns using:  pattern blocks, unifix cubes, buttons, etc.
  • body movements (jump, hop, jump, hop; snap, snap, clap).
  • real graphs.
  • use pictures and objects to record graphs.
  • label patterns: AB AABB AAB.
  • use sounds, motions, shapes, objects, pictures, and symbols to represent patterns.
  • find and describe patterns on children and other objects in the classroom.
  • explore repeated patterns.
  • develop and use strategies to find patterns.
  • children create their own patterns.

-Variability and Change-

Students describe the relationships among variables, predict what will happen to one variable as another variable is changed, analyze natural variation and sources of variability, and compare patterns of change.

The learner will be able to:

  • explore seasons, weather.
  • discuss segments of events & life cycles.
  • science.
  • provide experiences for repeating, increasing and decreasing patterns.
  • solve problems.

-Shape and Shape Relationships-

Students develop spatial sense, use shape as an analytic and descriptive tool, identify characteristics and define shapes, identify properties and describe relationships among shapes.

The learner will be able to:

  • identify 2 dimensional shapes: square, triangle, circle, rectangle.
  • describe characteristics of shapes; such as: a square has four equip sides and corners.
  • identify a cylinder, cone, cube.
  • sort, classify, and compare 2 dimensional shapes.
  • construct 2 dimensional shapes using tooth picks.
  • draw 2 dimensional shapes.

-Position-

Students identify location relative to other objects, and describe the effects of transformations (e.g., sliding, flipping, turning, enlarging, reducing) on an object.

The learner will be able to:

  • follow directions to place objects on top of, under, in front of, between, behind, middle, etc.
  • obstacle course.
  • solve problems.

-Measurement-

Students compare attributes of two objects, or of one object with a standard (unit), and analyze situations to determine what measurement (s) should be made and to what level of precision.

The learner will be able to:

  • use unifix cubes to explore how many are needed to match lengths of different objects.
  • use balance to compare weights of objects.
  • explore how many beans will fit in a container.
  • concepts of time: yesterday, today, tomorrow.
  • discuss days of week, months of year.
  • estimate and explore how many unifix cubes are needed to match the length or width of an object.
  • solve problems: explore # of blocks needed to make a building.

-Collection, Organization and Presentation of Data-

Students collect and explore data, organize data into a useful form and develop skill in presenting and reading data displayed in different formats.

The learner will be able to:

  • use unifix cubes to explore how many are needed to match lengths of different objects.
  • use balance to compare weights of objects.
  • explore how many beans will fit in a container.
  • concepts of time: yesterday, today, tomorrow.
  • discuss days of week, months of year.
  • estimate and explore how many unifix cubes are needed to match the length or width of an object.

-Description and Interpretation

Students examine data and describe characteristics of the distribution, relate data to the situation from which they arose, and use data to answer questions convincingly and persuasively.

The learner will be able to:

  • use unifix cubes to explore how many are needed to match lengths of different objects.
  • use balance to compare weights of objects.
  • explore how many beans will fit in a container.
  • concepts of time: yesterday, today, tomorrow.
  • discuss days of week, months of year.
  • estimate and explore how many unifix cubes are needed to match the length or width of an object.

-Representation and Uses of Numbers-

Students recognize that numbers are used in different ways such as counting, measuring, ordering, and estimating, understand and produce multiple representations of number, and translate among equivalent representations.

The learner will be able to:

  • use unifix cubes to explore how many are needed to match lengths of different objects.
  • use balance to compare weights of objects.
  • explore how many beans will fit in a container.
  • concepts of time: yesterday, today, tomorrow.
  • discuss days of week, months of year.
  • estimate and explore how many unifix cubes are needed to match the length or width of an object.

-Number Relationships-

Students investigate relationships such as equality, inequality, inverses, factors and multiples, and represent and compare very large and very small numbers.

The learner will be able to:

  • use unifix cubes to explore how many are needed to match lengths of different objects.
  • use balance to compare weights of objects.
  • explore how many beans will fit in a container.
  • concepts of time: yesterday, today, tomorrow.
  • discuss days of week, months of year.
  • estimate and explore how many unifix cubes are needed to match the length or width of an object.

-Operations and their Properties 

Students understand and use various types of operations (e.g., addition, subtraction, multiplication, division) to solve problems.

The learner will be able to:

  • explore manipulatives using: pattern blocks, unifix cubes, buttons, etc.
  • model patterns using:  pattern blocks, unifix cubes, buttons, etc.
  • body movements (jump, hop, jump, hop; snap, snap, clap).
  • real graphs.
  • use pictures and objects to record graphs.
  • label patterns: AB AABB AAB.
  • use sounds, motions, shapes, objects, pictures, and symbols to represent patterns.
  • find and describe patterns on children and other objects in the classroom.
  • explore repeated patterns.
-Probability-

Students develop and understanding of the notion of certainty and of probability as a measure of the degree of likelihood that can be assigned to a given event based on the knowledge available; and, they make critical judgments about claims that are made in probabilistic situations.

The learner will be able to:

  • explore manipulatives using: pattern blocks, unifix cubes, buttons, etc.
  • model patterns using:  pattern blocks, unifix cubes, buttons, etc.
  • body movements (jump, hop, jump, hop; snap, snap, clap).
  • real graphs.
  • use pictures and objects to record graphs.
  • label patterns: AB AABB AAB.
  • use sounds, motions, shapes, objects, pictures, and symbols to represent patterns.
  • find and describe patterns on children and other objects in the classroom.
  • explore repeated patterns.
  • develop and use strategies to find patterns.
  • children create their own patterns.

-Concepts and Properties Numbers-

Students experience counting and measuring activities to develop intuitive sense about numbers, develop understanding about properties of numbers, understand the need for and existence of different sets of numbers, and investigate properties of special numbers.

The learner will be able to:

  • use unifix cubes to explore how many are needed to match lengths of different objects.
  • use balance to compare weights of objects.
  • explore how many beans will fit in a container.
  • concepts of time: yesterday, today, tomorrow.
  • discuss days of week, months of year.
  • estimate and explore how many unifix cubes are needed to match the length or width of an object.