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Rational Numbers Unit 2 **
“I can” statements…
• Statements you will be able to make by the end of this unit:
• I can identify between rational and irrational numbers and order rational numbers.
• I can add, subtract, multiply, and divide fractions and decimals.
Activating Prior Knowledge
• Think of a number between 9 and 10.
• Think of both fractions and decimals.
• Mr. Kendall’s number = 9.5 or 9
• I would like 3 volunteers to come forward with their numbers.
• We’re going to put them on the number line on the Smartboard.
2
1
Put your answers on the number line.
• How did you decide where to place your number on the number line?
• What about you Mr. Kendall?
9 10
What is a rational number? **
• A rational number is any number that can be written in the form , where m and n are integers and n ≠ 0
• Positive and Negative fractions are rational numbers.
• All integers are rational numbers.
• Terminating and repeating decimals are rational numbers.
• Mixed numbers are rational numbers.
n
m
8
3,
8
3,
8
3
7,7,1
7
3
10,
3
10,
3
13
...3333.0,2.0,75.3
1st Scenario…
• Suppose you are ice fishing in NWT. The temperature at midnight is -10 °C. At 6 AM the next day the temperature is -9 °C. What must the temperature have been at some time during the night?
• Mark and label that temperature on the thermometer on the next slide.
2nd Scenario…
• Let’s imagine that you are buying a car on a payment plan. Put the payment plans in order of cheapest to most expensive? 75 per month or 45 per month or 25 per month ?
Determine each quotient – (No calculators!):
2
12
2
12
2
11
Determine each quotient - (You may use calculators!)
5
3
5
3
5
3
Write 3 rational number between each pair of numbers.
a) 1.75 and 1
b) -0.25 and -0.26
c) Between:
d) Between:
4
1
2
1and
4
1
2
1 and
My number is… Game and Partner Challenge
• First we will start with Mr. Kendall reading off a series of clues about a rational number that he has in his mind.
• Each clue will narrow the number down until there is only 1 possible answer.
• You will then
