Unit 3 Algebraic Connections

In unit 3, students will:

  • Use parentheses, brackets, or braces in numerical expressions, and evaluate expressions with these symbols.
  • Write simple expressions that record calculations with numbers, and interpret numerical expressions without evaluating theme.
  • Represent real world and mathematical problems by graphing points in the first quadrant of the coordinate plane, and interpret coordinate values of points in the context of the situation.
  • Generate two numerical patterns using two given rules. Identify apparent relationships between corresponding terms. Form ordered pairs consisting ofcorresponding terms from the two patterns, and graph the ordered pairs on acoordinate plane.
  • Use a pair of perpendicular number lines, called axes, to define a coordinatesystem, with the intersections of the lines (the origin) arranged to coincide with the 0 on each line and a given point in the plane located by using an ordered pair of numbers, called its coordinates.
  • Understand direction of one axis, and the second number indicates how far to travel in the direction of the second axis, with the convention that the names of the two axes and the coordinates correspond (e.g., x-axis and x-coordinate, y-axis and y-coordinate)

By the end of Unit 3 your child should be able to answer the following questions:

  • How do grouping symbols help us to solve numerical expressions?
  • What can affect the relationship between numbers?
  • How do we graph order pairs?

The following videos explain topics covered in Unit 3:

  • Introduction to the order of operations

    • To visit Scholastic Study Jams for a step by step demonstration and  practice with The Order of Operations.


    • More on the Order of Operations

  • To visit Scholastic Study Jams for a step by step Demonstration and practice with ordered pairs


  • Ordered pairs and Coordinate Grid


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  • To visit LearnZillion and learn How to Make an Equation True by Placing Parentheses Correctly 
  • To visit LearnZillion and learn How to Identify the Relationship Between Two Numerical Patterns