6 th grade Vanguard Math Prerequisites Lanier Middle School Hello and Welcome to Lanier Middle School! In this packet you will find practice problems for students to work on over the summer. All of these topics should have been covered in Elementary and it is expected students have already mastered these concepts. If your child struggles with these concepts we suggest you visit khanacademy.org , purchase Pre-Algebra software or a Pre-Algebra workbook for additional practice. This packet is due the 3r d week of school for a grade and we will have a quiz over these concepts during the 3 rd week as well. Concepts covered in this packet: 1. NUMBER THEORY — divisibility rules, prime & composite numbers, factors, multiples, GCF, and LCM 2. DECIMALS — addition, subtraction, multiplication 3. FRACTIONS — simplify, equivalent, compare, mixed numbers and improper fractions, addition, subtraction Other concepts your child should have mastered, but not covered in this packet are: 1. Multiplication facts (times table) through 12 12. *" We will have 2 timed quizzes during the 1 s1 3 weeks of school over these facts. * * 2. All whole number operations (+, 3. Decimals — place value, compare, order The Lanier 6th grade Math Team If you have any questions feel free to email Mike Bordelon at [email protected]
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6th grade Vanguard Math Prerequisites Lanier Middle School · 1. NUMBER THEORY — divisibility rules, prime & composite numbers, factors, multiples, GCF, and LCM 2. DECIMALS —
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6th grade Vanguard Math Prerequisites Lanier Middle School
Hello and Welcome to Lanier Middle School!
In this packet you will find practice problems for students to work on over the summer. All of these topics should have been covered in Elementary and it is expected students have already mastered these concepts. If your child struggles with these concepts we suggest you visit khanacademy.org , purchase Pre-Algebra software or a Pre-Algebra workbook for additional practice. This packet is due the 3r d week of school for a grade and we will have a quiz over these concepts during the 3 rd week as well.
Concepts covered in this packet:
1. NUMBER THEORY — divisibility rules, prime & composite numbers, factors, multiples, GCF, and LCM
Other concepts your child should have mastered, but not covered in this packet are:
1. Multiplication facts (times table) through 12 12. *" We will have 2 timed quizzes during the 1 s1 3 weeks of school over these facts. * *
2. All whole number operations (+,
3. Decimals — place value, compare, order
The Lanier 6th grade Math Team
If you have any questions feel free to email Mike Bordelon at [email protected]
Answers 1-9:
T 115.378
G 257.32
A 6.6
R 28.159
22.18
W 25.83
E 1.5893
N 111.278
H 11.6
0 1.6493
✓ 27.359
U 26.28
C 28.38
B 249.32
Answers 10-18:
R 60.8 kg
E 2.25
Y $22.13
P 13.8657
J 13.7457
K 111.211
T 14.4457
U 62.9 kg
B $473.79
L 14.3 kg
F $21.33
D 112.101
M 13.6 kg
S 1.8125
Do each exercise below. Find your answer in the appropriate answer box and notice the letter next to it. Each time the exercise number appears in the code, write this letter above it.
0 16.75 24.2
+ 9.08 - 17.6
111 111
3.666
80.28
+ 7.934 - 51.9
CRYPTIC QUIZ 1. Why did the cowboy want to ride a bull in the rodeo?
13 5 6 16 . 13 2 10 16 1 11 18 4 15 12 2. Where does Santa keep his track and field trophies?
9 7 3 9 12 14 5 17 16 8 2 18 17 13
a 0
z
0
C
a;
(!?)
.c
0
ga o
FO" 0
0 0
o
-g
E t 3
0 0.276 O6 386.5
0.4333 - 129.18 + 0.94
0 13 + 6.4 + 2.78
0 $377.49 + $96.30
0 0.436 + 0.9097 + 5 + 8.1
0 101.1 + 0.101 + 10.01
® Dexter weighs 50 kg. His body contains 30.8 kg of oxygen and 4.9 kg of hydrogen. The rest is made up of other elements. How many kilograms of other elements are in Dexter's body?
2.918 37.
34.36 - 9.641 + 74.
0 $50 - $28.67
@ 3 - 1.1875
® 20.3057 - 6.44
@ 2.5 - 0.25
@ Anne's body contains 38.6 kg of oxygen, 6.1 kg of hydrogen, and the rest other elements. The weight of other elements is 20.4 kg less than the weight of oxygen. How much does Anne weigh?
TOPIC 3-f: Review: Addition and Subtraction B-32 MIDDLE SCHOOL MATH WITH PIZZAZZ! BOOK B
ABOVE ARE THE TITLES OF THREE "BOOKS NEVER WRITTEN." TO DECODE THE NAMES OF THEIR AUTHORS:
Do each exercise and find your answer in the code. Each time the answer appears, write the letter of the exercise above it. iii iii
capacity of the tank is 12.5 gallons. How much will it cost to fill the tank at
A gas tank contains 5.3 gallons. The
OR Tape travels through a tape player at a
minutes?
speed of 0.048 meters per second. How long is a tape that can play for 30
1,013.36
1.11111111
1.962
1.6625 86.4 9.81 2.2301
5.04
m
MIDDLE SCHOOL MATH WITH PIZZAZZ! BOOK B B-39 TOPIC 4-c: Multiplying Decimals
853,806 S F A
492,570 H A
12,685 A E P B
64,423 E D A L M
9,999 K T B S T
501,105 R U C H D
800 K M E N R
1. 2. 3. 4. 5. 6. 7. 8. 9.
10. 11. 12. 13. 14. 15. 16. 17. 18. 19.
S N E V O
2 3 9 10
8,170 E D R L J
2,685 O U M G S 534 P A T F
S N F X T
T O T A
609
29,178
90,005 O A P E B 467 N E M C
60,201 R E L T 3,375 S E O F N
76,380 L E A D V
599,422 E V M S G
TOPIC 1-a: Divisibility Rules MIDDLE SCHOOL MATH WITH PIZZAZZ! BOOK C C-R
Number
I I I I I 1 I 1 I I I I I 1 I I I 1 I 1 I I I I I II I I 1 I I I I I I!
4,095 5
Friendly Advice:
a) co
E a) CI) • — a) L. $(f, 0 CD 0- C
U) c CD a) oco u) o Et
u) c '— cts
-0 0
..0 0
(15 a) 0
CT ci)
0
O
..0 C co
_c a CO a)
(0 n ___ 0
(T5 x z
W C
TOPIC 1-c: Prime and Composite Numbers: Numbers Less than 50
C-12 MIDDLE SCHOOL MATH WITH PIZZAZZ! BOOK C crpprim
0 LCM of 12 and 15 • 16 O • 100
0 GCF of 18 and 36 •
CD LCM of 18 and 36 •
• GCF of 24 and 16 •
0 LCM of 24 and 16 •
0 GCF of 6 and 10* • • 6
0 GCF of 22 and 99 • • 120
0 GCF of 30 and 18 • ♦ 30
0 GCF of 9 and 16 • 0 • 60
® GCF of 70 and 21 •
0 • 2
® LCM of 4 and 10 • ® 11 O • 7
• LCM of 12 and 8 • 0
• 48 0 LCM of 25 and 4 • ® ♦ 40
0 LCM of 40 and 12 • ® ® ® ® • 11
LCM of 15 and 75 •
0 ♦ 24
0 GCF of 10 and 15 • ®
® ♦ 18
LCM of 10 and 15 • ® 6T • 8
GCF of 20 and 8 • • 1
0
-
e LCM of 20 and 8 •
® • 20
GCF of 12 and 15 • 0 • 75
O
O O
O
• 3
O • 5
• 4
• 36
What Did Captain Hook Say in the Bakery? Find the GCF or LCM for each exercise. Draw a straight line connecting the square by the exercise to the square by its answer. The line will cross a number and a letter. Write the letter in the matching numbered box at the bottom of the page.
What Is Rock 'N' Roll? .A For each exercise, write >, <, or = in the CD. Circle the appropriate number-letter. Write the letter in the matching numbered box at the bottom of the page.
Where can you hear MUSIC on an ocean liner? Write each fraction in lowest terms. Find your answer at the right and mark the letter next to it. For each set of exercises, there is one extra answer. Write the letter of this answer in the corresponding box at the bottom of the page.
Why Did the Football Coach Send in a Bunch of Second-String Players?
Simplify each fraction on the top curve and find your answer on the bottom curve. Draw a straight line connecting each exercise to its answer. The line will cross a number and a letter. Write the letter in the matching numbered box at the bottom of the page.
Why Was the Zoo Worker Fired for Feeding the Monkeys?
Do each exercise and find your answer to the right. Write the letter of the answer in the box containing the number of the exercise. If the answer has a •, shade in the box instead of writing a letter in it.
I. Write each fraction in lowest terms.
12 rii) 25
40
30 `-=-/ 100
ri) 16 32
6) 8 18
(-4-) 12 36
(-6--) 16 20
ir. ) 15 `-=J 48
II. Write each improper fraction as a mixed number and each mixed number as an improper fraction.
(6) 23 5
20 12
@ 1
@ 4 15
ra 18 8
45 18
0 810
.4 11 ' 12
III. Write a > or < in each O. Then choose the SMALLER fraction and find it among the answers.
TOPIC 2-I: Review: Simplifying and Comparing Fractions C-34 MIDDLE SCHOOL MATH WITH PIZZAZZ! BOOK C