# File

```Solve Equivalence Problems
Unit 5 Lesson 13
Day 93
Warm Up
Reggie was building a design using counters. He
put 9 in the first row, 17 in the second row and
25 in the third row. If he continued this pattern,
how many counters would he have in the first
five rows?
• I need a volunteer to come to the board and
write a chain of equivalent fractions.
• How are these fraction chains helpful?
8
12

12
18

6
9

16
24

2
3

10
15

14
21
• I need a girl to come and circle on of the fractions in the fraction
chain.
• Write a G above the fraction.
• I need a boy to come and circle on of the fractions in the fraction
chain.
• Write a B above the fraction.
• Who gets more slices of the giant pizza, the girl or the boy?
• Who gets larger slices of the giant pizza, the girl or the boy?
• Who gets the larger amount, the girl or the boy? Why?
• How do you know their two fractions are equivalent?
• Let’s erase these fractions and repeat the entire activity by a boy and girl choose two
different fractions.
Remember…
A larger denominator
means smaller shares
This was proven in the
activity we just
completed!! 
5
•
•
•
•

n
8 24
N = the unknown numerator
Everyone write a value for n in your notebook.
What if we wanted to change 5/8 to a fraction
with 24 as the denominator? What would be
the multiplier be? Why?
What would you multiply the numerator, 5, by
to get an equivalent fraction? Why?
9
12

3
d
• N = the unknown numerator
• Everyone write a value for n in your notebook.
• We want to change 9/12 to a fraction with 3
as the numerator. What will the divisor be?
Why?
• What will you divide the denominator, 12, by
to get an equivalent fraction? Why?
More Equivalence Problems
We will share our work on the board.
3
n
7
5
40
8
10
2
42
d
49
15



28
20
d
32
8
n
63
7
7
90



n
d
Solve problems 1-12 on
back book!!!
When might you want to simplify a
fraction?
• To find the simplest form of a fraction, you
just keep dividing top and bottom by a
common factor. Sometimes this might take 2
or 3 steps:
90
126
÷3

÷3
30
42

÷2
10
14

5
7
• Complete #13 & 14 on
page 205
• Complete page 206!
Factors and Common Factors
• What is a factor of a number?
• Let’s think about the number 28. What are
the factors of 28?
• What number is a factor of every whole
number?
• What property helps us know this?
• Identity Property of Multiplication
42 and 28.
• What are the factors of 42?
• The factors we just of 28 where:
• 1, 2, 4, 7, 14, 28
• What factors are common to both lists of
factors?
• What is the greatest common factor in both
lists?
Greatest Common Factor (GCF)
• Find the greatest common factors of:
– 12 and 15
– 20 and 24
– 33 and 66
Multiples and Common Multiples
Factors
• What is a multiple of a number?
• 4:
– Why is 4 a multiple of 4?
• How can we find other multiples of 4?
• What are the first 10 multiples of 4?
Common Multiples Factors
• Multiples of 4: 4, 8, 12, 16, 20, 24, 28, 32, 36, 40
• Write the multiples for 3
• 3: 3, 6, 9, 12, 15, 18, 21, 24, 27, 30
• What multiples are common to both 3 and 4?
Least Common Multiple (LCM)
• What is the least (smallest) common multiple in
both list of multiples?
Solve and Discuss
• Find the common multiples and LCM of each
pair:
5 and 10
2 and 3
Homework
•Homework and
Remembering page
129
```

20 cards

24 cards

21 cards

32 cards

15 cards