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 students to areas that will be mastered in subsequent years. See also Student Achievement.

The Competencies and Experiences outlined below capture this integrated plan across grades K-5. For details select View from the table below. You may also download documents by grade band: Grades K-2, Grades 3-5.


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


Grades 3-5 Algebraic Thinking
Third Grade	Fourth Grade	Fifth Grade
COMPETENCIES
Sort a collection of objects by a variety of attributes and determine how a collection of objects has been sorted by examining evidence (e.g., a 2-circle Venn diagram level of complexity).	Describe, extend, and make verbal and written generalizations about numeric and geometric patterns to make predictions and solve problems (e.g., If 2/8 = 1/4 and 4/8 = 2/4, then 6/8 must equal 3/4).	Make generalizations about patterns that help solve problems (e.g., I know that the value of the 25th odd number is 49 because you just double the arrangement number and subtract 1 with odd numbers).
Describe, extend, and make verbal and written generalizations about numeric and geometric patterns to make predictions and solve problems (e.g., to figure out how many tile it takes to build the 10th arrangement of the pattern below—just add 10 three times and put one more in the middle).	Extend number patterns with both whole numbers and decimals that grow by common differences, increasing differences, or simple multiples, such as doubling (e.g., 2, 4, 6, 8… or 1, 3, 6, 10… or 1, 2, 4, 8, 16….)	Identify, describe, and compare situations with constant or varying rates of change.
Extend number patterns that involve adding or multiplying a single-digit number. (e.g., 4, 7, 10, 13… or 3, 6, 9, 12…)	AC3: Represent and analyze patterns and functions using words, tables, graphs, or number sentences.	Represent and analyze patterns and functions using words, tables, graphs, or simple algebraic expressions.
Given a simple relationship between two quantities, determine one quantity when given the other (e.g., using a T-chart to determine the number of wheels when given the total number of cars).	Create or complete a table of values given a specific rule. Describe the rule governing the relationship between two values in a table. (e.g., Every time you put a number in, it comes out with 3 more added on.)	Identify or describe a situation that may be modeled by a given graph (e.g., the growth of a plant over a 2-week period might be modeled by a line graph).
Translate problem-solving situations into expressions and equations.	Represent the idea of an unknown quantity or variable as a letter or symbol in an expression or equation. (e.g., n + 6 = 9)	Identify and represent whole number data on the first quadrant of a coordinate grid.
	Select appropriate operational and relational symbols to make an equation or inequality true (e.g. 15 x 4 10 x 12).	Supply a missing element in, or determine a rule that extends number patterns involving multiplication or division.
		Use letters, boxes, or other symbols to stand for unknown quantities in expressions or equations.
		Represent and evaluate algebraic expressions involving a single variable.
		Use order of operations (including parentheses) to solve problems
EXPERIENCES
Experiment with extending whole number patterns that grow by common differences, increasing differences, or simple multiples, such as doubling (e.g., 2, 4, 6, 8… or 1, 3, 6, 10… or 1, 2, 4, 8, 16….)	Identify or describe a situation that may be modeled by a given graph (e.g., the growth of a plant over a 2-week period might be modeled by a line graph).	Investigate how a change in one variable relates to a change in a second variable
Explore the idea of selecting appropriate operational and relational symbols to make an equation or inequality true (e.g. 3 x 4 = 2 __ 6).	Explore situations that demonstrate constant or varying rates of change.