Exploring Integers

1. Exploring Integers

2. Learning Goals Understand that: • Integers are numbers that can be created from subtraction patterns. • Integers appear in many areas of the real world.

3. Temperature is measured in degrees Celsius (˚C). Water freezes at 0˚C. • On a typical summer day in Saskatoon, the temperature might be 24 ˚C above zero. • A temperature greater than 0 ˚C is positive. We write 24 ˚C. We say: twenty-four degrees Celsius. • On a typical winter day in Saskatoon, the temperature might be 18 degrees Celsius below zero. • A temperature less than 0 ˚C is negative. We write: -18 ˚C. We say: minus eighteen degrees Celsius

4. Explore Altitude is the vertical distance above sea level. It is usually measured in meters. For every 150m above sea level, the temperature decreases about 1 ˚C.

5. Kayla and Sydney are mountain climbing. They begin climbing at an altitude of 1000m. The temperature is 6 ˚C. The table shows the altitude changes. Continue the table for altitudes. Write a pattern rule for the temperatures.

6. Numbers such as 24 and -18 are integers. • You can represent integers on a number line. The number line may be vertical or horizontal. • A thermometer is a vertical number line. • You have horizontal number lines to compare and order whole numbers. We extend the number line to the left of 0 to show negative numbers.

7. We use integers to represent quantities that have both size and direction. • Mark spent $25. This can be represented as -$25. • Jean walked 5 steps forward. This can be represented as +5 steps or 5 steps. • A scuba diver swam to a depth of 50 m. This can be represented as -50m. • If no sign is written, the integer is positive.

8. Homework Grade 5 – P22 – Questions 1-4 Grade 6 – P22 – Questions 1-4 & P26 Questions 1-2