AB: required BC: required
MB: required ON: required
Teacher Resource 6.1 Unit 8 Number Sense pp. I-34–37
New Canadian Edition
JUMP Math™ Copyright © 2018 JUMP Math
NS6-31
Comparing Fractions on a Number Line
Students will:
• place mixed numbers and improper fractions on a number line; and
• compare mixed numbers to improper fractions using a number line.
AP Book 6.1 p. 150
0
1
2
1
4
2
4
3
4
1
4
2
4
3
4
4
4
We can use this number line to convert between mixed numbers and improper fractions.
See p. I-34 for details.
Continue the pattern:
Exercises:
1. Write the equivalent mixed number.
7
4
a)
5
4
b)
2. Finish the number line. Then write the equivalent mixed number or improper fraction.
7
5
a)
1
5
b) 1
4
5
c) 1
1
2
5
5
8
5
d)
What number is equivalent to ?
16
8
See p. I-35 for details.
Changing an improper fraction to a mixed number is easy when the answer is a whole number.
Just divide the numerator by the denominator.
Hint: How can you tell without a number line?
Exercises:
What number is the improper fraction equivalent to?
24
4
a)
9
3
b)
8
2
c)
3000
3
Bonus:
2
= 10
÷ 2 = 10
How do we find the missing number?
See p. I-35 for details.
5
6
improper fractions
mixed numbers
See p. I-36 for details.
Label the mixed numbers and improper fractions between 5 and 6:
2
3
a)
8
9
b)
See p. I-36 for details.
Exercise:
Copy and complete both number lines.
Write mixed numbers on the bottom and improper fractions on top.
Find the first and last improper fractions:
2
5
a) 2
11
5
4
5
c) 2
14
5
1
3
e) 8
26
3
3
5
b) 2
15
3
d) 9
26
5
f) 8
24
3
Exercises:
1. Use the number lines from the previous exercises. Write < , > , or = .
2. Show , , and on the number line.
Explain how you know where they go.
1
2
1
4
3
4
0
1