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Discovery

(ages 3, 4, 5)

Number Sense

Operations, Patterns, Variables

  • Rote counting to 10
  • Recognizes numerals to 10
  • Counts objects to 10 with one-to-one correspondence
  • Makes marks to represent numbers or equations
  • Recognizes patterns
  • Extends single variable patterns

Geometry and Measurement

  • Recognizes basic shapes
  • Builds basic shapes
  • Draws circles
  • Sorts objects by one attribute
  • Compares relative size of objects (bigger, smaller, equal, etc...)
  • Uses descriptive language (size, speed, temperature, etc...)

Statistics and Probability

  • Collects and counts objects or data
  • Contributes data to a pictorial graph

Emerging

(ages 4, 5, 6)

Number Sense

Operations, Patterns, Variables

  • Rote counting to 31
  • Writes numerals to 10
  • Counts objects to 20 with one-to-one correspondence
  • Skip counts by tens
  • Uses language to describe quantity and relationship (more, less, equal)
  • Adds using manipulatives
  • Understands the concept of 1/2
  • Creates single variable patterns

Geometry and Measurement

  • Identifies basic shapes in the environment
  • Draws triangles and rectangles
  • Demonstrates understanding of relative location (above, below, beside, etc.)
  • Measures using non-standard units
  • Uses comparative language
  • Demonstrates awareness of time (before/after)

Statistics and Probability

  • Records data
  • Shares findings

Developing

(ages 5, 6, 7)

Number Sense

Operations, Patterns, Variables

  • Rote counting to 100
  • Counts objects beyond 20 with one-to-one correspondence
  • Compares and orders numbers to 100
  • Groups units into sets of ten
  • Uses a combination of tens and ones to build two digit numbers
  • Recognizes, interprets and records addition equations

Geometry and Measurement

  • Combines 2-D shapes to form different shapes
  • Sorts objects by 2 or more attributes
  • Uses language to describe relative location (above, below, beside, etc...)
  • Recognizes symmetry
  • Measures length, width and height using non-standard units
  • Uses time vocabulary (yesterday, today, tomorrow)

Statistics and Probability

  • Adds information to graphs and charts
  • Compares and contrasts findings

Beginning

(ages 6, 7, 8)

Number Sense

Operations, Patterns, Variables

  • Reads and writes numbers to 100
  • Skip counts by 2's and 5's
  • Holds a number constant while
    counting on
  • Regroups using manipulatives in addition
  • Demonstrates understanding of
    2-digit place value
  • Demonstrates understanding of
    3-digit place value
  • Subtracts using manipulatives
  • Recognizes and records sums up to 20
  • Relates pictures to symbols of 1/2, 1/3
  • Creates multi-variable patterns

Geometry and Measurement

  • Divides 2-D shapes to form different shapes
  • Identifies 2-D shapes in a variety of orientations
  • Identifies and creates single line symmetry
  • Measures, compares and estimates
    using manipulatives
  • Identifies area and perimeter

Statistics and Probability

  • Reads, interprets and discusses information on simple graphs and charts

Expanding

(ages 7, 8, 9)

Number Sense

Operations, Patterns, Variables

  • Recognizes numbers to 1000
  • Applies addition facts
  • Regroups using the addition algorithm
  • Uses repeated addition to multiply
  • Regroups using manipulatives in subtraction
  • Recognizes, interprets and records subtraction equations
  • Divides using manipulatives
  • Understands pictorial and symbolic representations of fractions
  • Compares numbers using >, <, =

Geometry and Measurement

  • Identifies 3-D shapes
  • Measures area and perimeter using manipulatives
  • Uses tools to find metric and US measures

Statistics and Probability

  • Collects data for analysis
  • Utilizes strategies for organizing data