Bridges Competencies & Experiences

Bridges is designed to enable students to achieve competency in specific areas by year-end while at the same time providing experiences that expose them to areas that will be mastered in subsequent years. The Competencies and Experiences outlined below capture this integrated plan across grades K-5.  For details select View from the table below or download documents by Grades K-2 or Grades 3-5.

See also Scope and Sequence documents K-5 summary / NCTM strands and K-5 by month.

Subject Area Grades K-2 Grades 3-5
Number Sense and Numeration View View
Computation View View
Algebraic Thinking View View
Data Analysis and Probability View View
Measurement View View
Geometry View View
     
K-2 Algabraic Thinking
Kindergarten First Grade Second Grade
COMPETENCIES
Sort a collection of objects by a variety of attributes. Generate at least 5 or 6 different ways to sort a collection of objects. Generate 7 to 10 different ways to sort a collection of objects.
Identify, copy, extend, and create repeating patterns. Identify a pattern as something that repeats. Copy, extend, and create patterns of at least ABCABC complexity. Create a 2-circle Venn Diagram using objects and attribute cards.
Understand that adding 1 more object or taking 1 away is a type of pattern. Understand that a sequence that changes predictability in quantity (e.g., grows by 1’s or 2’s or 5’s) is another type of pattern. Identify, copy, extend, and create repeating patterns of at least ABBCABBC complexity.
  Given a simple relationship between 2 quantities, determine 1 quantity when given the other, using pictures or objects. (“If 1 bike has 2 wheels, I know that 2 bikes have 4 wheels and 3 bikes have 6 wheels and 4 bikes have 8 wheels.") Identify a sequence that changes predictably as a pattern. Show the 4th and 5th arrangements of such a pattern, given the first 3.
  Identify 1 more than, 1 less than, 10 more than, 10 less than a given number. “You can see that 23 is 10 more than 13 and 33 is 10 more than 23.” Given a simple relationship between 2 quantities, determine 1 quantity when given the other. (“If 1 kid has 2 eyes, I know that 10 kids have 20 eyes in all.")
    Extend number patterns that grow by 2’s and 10’s starting from any number (e.g., 1, 3, 5, 7,… or 15, 25, 30, 35,…)
COMPETENCIES
Identify, copy, extend, and create repeating patterns beyond ABABAB complexity, such as ABBABB or ABCABC. Sort objects by common attributes and describe the groups formed using categorical labels. Figure out how a collection of objects has been sorted by examining the evidence. (Start to generate rules.)
  Understand that €guring out patterns and relationships can help solve problems. Explore 3-circle Venn Diagrams.
    Begin to move beyond the next 2 arrangements of a growing pattern to consider the 10th arrangement and beyond. Begin to make generalizations about such patterns. (e.g., “To make the 10th arrangement of the pattern below, it's just 10 on each side and 1 in the middle.")
    Extend number patterns that grow by 3’s, 5’s, and other multiples.
    Build patterns that are growing predictably, but by changing amounts.