Factor Trees Probability, Ratios And Rates Worksheet Page 5
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6Student Page
Date
Time
Math Boxes 12 1
INDEPENDENT
LESSON
Math Boxes
ACTIVITY
12 1
(Math Journal 2, p. 397)
Solve.
1.
25
3
If 15 marbles are
of the marbles in a bag, how many are in the bag?
marbles
a.
5
200
If 14 pennies are 7% of a pile of pennies, how many are in the pile?
pennies
Mixed Practice Math Boxes in this lesson are paired with
b.
c.
75 students are absent today. This is 10% of the students enrolled at the school.
Math Boxes in Lesson 12-3.
750
How many students are enrolled at the school?
students
3
Tyesha paid $90 for a new radio. It was on sale for
of
d.
$120.00
4
the regular price. What is the regular price of the radio?
75
Writing/Reasoning Have students write a response to the
A scooter is on sale for 30% of the list
Write
or
.
2.
3.
price. The sale price is $84. What is the
following: Explain your solution strategy for Math Boxes,
8
0.75
a.
list price?
9
$280.00
1
Problem 2.
Since $84.00 represents 30%, I divided 84 by
0.2
b.
6
3
4
c.
3 to find 10% of the list price. Then I multiplied that result by 10
7
8
5
to find the total list price; 84 ÷ 3 ∗ 10 = $280.00.
d.
0.9
9
6
7
e.
1
1
1
2
52
9
89
90
Solve.
4.
a.
Study Link 12 1
INDEPENDENT
8X
ACTIVITY
One orange
One cube
4
2
(Math Masters, p. 348)
Xs.
Xs.
weighs as much as
weighs as much as
b.
6X
4X
Home Connection Students work with factor trees.
One triangle
One paper clip
1
1
228 229
They use these to write prime factorizations and to write
X.
6
X.
weighs as much as
weighs as much as
Math Journal 2, p. 397
fractions in simplest form.
3
Differentiation Options
SMALL-GROUP
READINESS
ACTIVITY
Making Factor Rainbows
5–15 Min
To provide experience finding all the factors of a number, have
students make factor rainbows. For example, to make a factor
rainbow for the number 48, list all the factors of 48 in ascending
order. Then connect factor pairs. Every factor should be paired with
Study Link Master
another factor. If there is an odd number of factors, the middle
Name
Date
Time
factor is paired with itself. The product of each pair of factors
STUDY LINK
Factor Trees
12 1
should be 48.
Make factor trees and find the prime factorization for the following numbers.
1.
12
Example: 20
20
2
2
5
20
4
º
5
º
º
2
2
5
66
66
72
72
a.
b.
1
2
3
4
6
8
12
16
24
48
2
º
33
2
º
36
2
2
º
3
º
11
º
2
º
18
Have students make factor rainbows for given numbers.
2 º
2
º
3
º
6
Suggestions: 25, 32, 40, 49, 80, 100
2
º
2
º
3
º
2
º 3
2
3
11
2
2
3
2
3
66
72
PARTNER
2.
Write each fraction in simplest form. Use factor trees to help you. Show your work.
ENRICHMENT
1
0
1
1
5
ACTIVITY
2
0
6
6
2
0
3
3
1
2
1
8
a.
b.
c.
6
6
7
2
7
2
Using a Division Method for
250
5
5
5
2
5–15 Min
Find the prime factorization for 250.
3.
Circle the number that has the most prime factors.
4. a.
Prime Factorizations
63
32
49
100
49
Which has the fewest prime factors?
b.
2
(Math Masters, p. 349)
1
5
0
Simplify the fraction to the right.
5.
3
2
2
5
Practice
To apply students’ understanding of factors, have them
9
90
1
36
0.25
360
6.
7.
4
30
30
use a division method to find prime factorizations. When
1
1
90
33
% of 90
8.
9.
3
3
students have finished, discuss any questions or curiosities
Math Masters, p. 348
they encountered.
918
Unit 12 Probability, Ratios, and Rates
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