Integers

BIG IDEAS:

(taken from “Big Ideas by Dr. Small”):

  1. The negative integers are the “opposites” of the whole numbers. Each integer is the reflection of its opposite across a line that is perpendicular to the number line at 0.
  2. In a number of ways, integers are more like whole numbers, than like fractions or decimals.
  3. The zero property, that is, (-1) + (+1) = 0, plays an important role in many integer operations.
  4. Adding and subtracting integers can be represented by models, such as tiles or on number lines.

STUDENT LEARNING GOALS:

GOAL #1a: I can identify and represent integers.

GOAL #1b: I can compare and order integers.

GOAL #2a: I can add integers.

GOAL #2b: I can subtract integers.

CURRICULUM EXPECTATIONS:

  • Represent, compare, and order numbers, including integers;
  • Demonstrate an understanding of addition and subtraction of … integers, and apply a variety of computational strategies to solve problems involving whole numbers and decimal numbers;
  • Identify and compare integers found in real-life contexts (e.g., –10°C is much colder than +5°C);
  • Represent and order integers, using a variety of tools (e.g., two-colour counters, virtual manipulatives, number lines);
  • Add and subtract integers, using a variety of tools (e.g., two-colour counters, virtual manipulatives, number lines).