Patterning/Algebra

PATTERNING

BIG IDEAS

(taken from “Big Ideas by Dr. Small”)
  1. Patterns represent identified regularities. There is always an element of repetition.
  2. Patterns can be represented in a variety of ways (i.e. pictures, words, graphs, sequences, tables).
  3. Some ways of displaying data highlight patterns.
  4. By identifying the element of repetition, one can make predictions related to the pattern.

STUDENT LEARNING GOALS

GOAL: I can classify, extended and describe patterns.
GOAL: I can represent a pattern in different ways (e.g. as a table, in pictures).
GOAL: I can make predictions related to a specific pattern.

CURRICULUM EXPECTATIONS

  • identify geometric patterns, through inves
    tigation using concrete materials or drawings, and represent them numerically;
  • make tables of values for growing patterns,
    given pattern rules in words (e.g., start with 3, then double each term and add 1 to get the next term), then list the ordered pairs (with the first coordinate representing the term number and the second coordinate representing the term) and plot the points in the first quadrant, using a variety of tools
  • determine the term number of a given term in a growing pattern that is represented by a pattern rule in words, a table of values or a graph
  • describe pattern rules (in words) that generate patterns by adding or subtracting a constant or multiplying or dividing by a constant, to get the next term

ALGEBRAIC EQUATIONS

BIG IDEAS

(taken from “Big Ideas by Dr. Small”)
  1. Algebra is a way to represent and explain mathematical relationships and to describe and analyze change.
  2. Using variables is a way to efficiently and generally describe relationships that can also be described using words.

STUDENT LEARNING GOALS

GOAL: I can identify the value of the variable in one-step equations.
GOAL: I can use formulas to solve problems.

CURRICULUM EXPECTATIONS

  • identify, through investigation, the quantities in an equation that vary and those that remain constant.
  • solve problems that use two or three symbols or letters as variables to represent different unknown quantities
  • determine the solution to a simple equation with one variable, through investigation using a variety of tools and strategies

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