# Integers

**BIG IDEAS****:**

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

- 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.
- In a number of ways, integers are more like whole numbers, than like fractions or decimals.
- The zero property, that is, (-1) + (+1) = 0, plays an important role in many integer operations.
- 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.**

- VIDEO: Identifying Integers
*(Source: Khan Academy)* - VIDEO: Representing Real-Word Integers
*(Source: YouTube)* - VIDEO: Absolute Value
*(Source: Khan Academy)* - VIDEO: Opposite Numbers
*(Source: Khan Academy)* - VIDEO: Missing Numbers on the Number Line
*(Source: Khan Academy)* - QUIZ: Representing Integers
*(Source: SoftSchools)* - GAME: MathMan
*(Source: SheppardSoftware)*

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

- VIDEO: Negative Numbers
*(Source: Math Antics)* - VIDEO: Comparing and Ordering Integers
*(Source: SmithMathAcademy)* - VIDEO: Ordering Negative Numbers
*(Source: Khan Academy)* - QUIZ: Comparing Integers
*(Source: Nelson Education)* - GAME: Fruit Shoot
*(Source: SheppardSoftware)* - GAME: Number Balls
*(Source: SheppardSoftware)*

**GOAL #2a: I can add integers.**

- VIDEO: Adding Integers with the Same Sign
*(Source: Khan Academy)* - VIDEO: Adding Integers with Different Signs
*(Source: Khan Academy)* - VIDEO: Adding Integers with Counters
*(Source: YouTube)* - VIDEO: Adding Integers on the Number Line
*(Source: Khan Academy)* - QUIZ: Adding Integers using the Zero Principle
*(Source: Nelson Education)* - QUIZ: Adding Integers
*(Source: Nelson Education)* - QUIZ: Adding Integer Strategies
*(Source: Nelson Education)* - GAME: Orbit Integers
*(Source: Arcademics)* - GAME: Spider Match
*(Source: Arcademics)*

**GOAL #2b: I can subtract integers.**

- VIDEO: Adding and Subtracting Integers
*(Source: Math Antics)* - VIDEO: Subtracting Negative Numbers
*(Source: Khan Academy)* - VIDEO: Adding and Subtracting Negative Numbers
*(Source: Khan Academy)* - VIDEO: Negative Number Word Problems
*(Source: Khan Academy)* - QUIZ: Using Counters to Subtract Integers
*(Source: Nelson Education)* - QUIZ: Using Number Lines to Subtract Integers
*(Source: Nelson Education)* - QUIZ: Relating Integer Subtraction to Addition
*(Source: Nelson Education)* - QUIZ: Solving Problems by Working Backwards
*(Source: Nelson Education)*

**CURRICULUM EXPEC****TATIONS:**

- 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).