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 Data Analysis & Probability
Kindergarten First Grade Second Grade
COMPETENCIES
Tell what a 2-column class graph is about and how many more 1 column has than the other. “2 more people like apples. Not so many like oranges." Make a variety of statements about simple 2- and 3-column picture graphs, including which column has most, which has least, how many more in 1 column than another, how many fewer, how many in all, and what the graph is about. “This is a graph about our favorite fruits. Cherries got the most, then apples, then oranges. There are 2 more cherries than oranges, and 1 less orange than apple. 18 kids made our graph.” Read and interpret a variety of picture, symbolic, and bar graphs. Tell which column has most, which has least, how many more in 1 column than another, how many fewer, how many in all, and what the graph is about.
  Create a simple 2- or 3-column real graph by sorting a small collection of objects and then graphing the results. Represent the same data set in more than one way (e.g., chart with tallies, bar graph, pie graph, etc.)
  Transfer the information from a real graph to a picture graph, bar graph, or tally chart. Label the columns and give the graph a title. “I made a picture of my graph about bugs. I have the 8-leg guys on one side and the 6-leg guys on the other.” Conduct a simple survey among classmates, present the data in the form of a graph, and explain his or her findings.
  Predict and represent all possible outcomes for a simple probability situation in an organized way (e.g., tables, grids, tree diagrams). Solve simple counting problems (“James has 3 pairs of pants and 4 shirts. How many different outfits can he wear?” Recognize when games or activities depend on chance and begin to predict outcomes that are very likely or very unlikely.
COMPETENCIES
Create a simple 2-column real graph by sorting a small collection of objects and then graphing the results. "I made my graph about spiders and insects. See? I put the spiders on one side and the other insects on the other. Do you have any more spiders?” Work with real and picture graphs that involve 4 or more columns. Construct bar graphs in which one box stands for more than one item.
Answer the following questions about simple 2-column graphs: how many more, how many fewer, how many in all? Move from picture graphs to symbolic graphs. Understand that the outcome of a game or activity depends on how it’s set up in the €rst place.
Work with 3- and 4-column real and picture graphs. Recognize when games or activities depend on chance.  
Play games with fair and unfair spinners.