Customized Activity Book

Transcription

Customized Activity Book
For
MATTHEW MCCURRY
Kid’s College is an online program that diagnoses a student’s mastery of essential skills in reading,
language arts and mathematics. Once diagnosed, the student is provided instructional practice on
any foundational skills not mastered at earlier grade levels, then quickly brought up to the
instructional skills at their current grade level.
The online video games within Kid’s College both motivate and offer an incentive for students to stay
on task and perform more accurately. Student performance is continually monitored, providing
teachers, parents and administrators with snapshots of each student’s progress.
Based on the results of a recent assessment in Kid’s College, this customized Activity Book
has been generated to boost your student's performance in skill strands that need
improvement.
Mathematics:
Fractions
The following section of this customized textbook includes material from these skill areas:
Skill Description
2611:solve problems using proportion formulas
2617:understand concepts of rate and rate of change
2.4 2.4 Analyze change in various contexts.
6.2.spi.5 6.2.spi.5. extend rate charts to solve real-world problems;
2767:compare fractional quantities
6.1.spi.5 6.1.spi.5. compare and order whole numbers, fractions, decimals, and percents using
the appropriate symbol (<, >, =);
2770:represent fractions in equivalent forms
6.1.spi.3 6.1.spi.3. represent numbers using a variety of models and equivalent forms (i.e., whole
numbers, mixed numbers, fractions, decimals, and percents);
2816:solve addition problems with fractions
6.1.spi.9 6.1.spi.9. compute efficiently and accurately with whole numbers, fractions, and
decimals .
2829:solve division problems with fractions
6.1.spi.9 6.1.spi.9. compute efficiently and accurately with whole numbers, fractions, and
decimals .
2837:demonstrate the meaning of ratio
6.1.spi.10 6.1.spi.10. connect ratios to a variety of models, real-world situations, and symbolic
representations;
2839:solve problems with proportions
6.4.spi.9 6.4.spi.9. solve problems involving ratios and proportions.
Page 2
2840:solve problems with ratios
6.1.spi.10 6.1.spi.10. connect ratios to a variety of models, real-world situations, and symbolic
representations;
6.4.spi.9 6.4.spi.9. solve problems involving ratios and proportions.
Page 3
Better Grades & Higher Test Scores / MATH
Copyright © 2003 by Incentive Publications, Inc., Nashville, TN.
109
Page 4
Get Sharp: Proportions
2 04
Get Sharp: Prob lem - Solv ing Strategies
Page 5
Proportion
INJURY PROBLEMS
B oxer B runo has gotten injured 4 out of every 5 tim es he’s had a m atch. If he’s fought in 320
m atches, how m any tim es has he been injured?
Y ou can answ er this q uestion by using this proportion: 4 ⁄ 5 = n ⁄ 320
S olve the proportion by cross m ultiplication:
5 tim es n = 4 tim es 320 (5 x n = 4 x 320 or 5n = 4 x 320).
U se a proportion to solve
these problem s.
1. O f 20 football players
surveyed, 12 w ere injured
last season. There are 80
players in the school
football program . At this
rate, how m any injuries
w ere there?
_____________________
3. O ut of every 9 people
rescued by the beach
lifeguards, 7 are children.
O ut of 504 rescues, how
m any are for children?
_____________________
_____________________
4. Tennis player Tom lost 45
m inutes over 3 gam es for
a bloody nose. At this rate,
how m uch tim e w ill be
lost in 7 gam es?
_____________________
2. The cost of hospital visits
for soccer team injuries
averages $ 900 for the first
2 m onths of the season.
At this rate, how m uch
w ill injuries cost over the
5-m onth season?
6. The ratio of jum ps to falls
for ice sk ater R honda is 4
falls to every 15 jum ps. At
this rate, how m any tim es
w ill she NO T fall in 360
jum ps?
5. O ut of every 7 m em bers
on the sk i team , 2 q uit
before the end of the
season because of
injuries. If 28 q uit
because of injuries, how
m any started the season?
_____________________
7. 350 out of 500 bik e
injuries in the state last
year w ere head injuries.
O f each 10 bik e injuries,
how m any are to the head?
_____________________
8. The hurdlers on the
Cougar team bang up
their shins 35 tim es in 4
hours of practice. At this
rate, how m any shin
injuries w ill there be in
300 hours of practice?
_____________________
_____________________
Name
Answer The
key
page Boring
70, unit
BASIC/Not
Middle199
Grades Math Book
199 6
Page
Copyright ©2000 by Incentive Publications, Inc., Nashville, TN.
108
Get Sharp: R ates
Page 7
14 9
Page 8
Get Sharp: Measu rem ent
A d d & M u ltiply W h ole Nu mb ers
CONTINUED
CYCLE THE DIST
ANCE,
U se w ith page 30.
1. Tom is considering three different paths to bik e from point A to point L . F ind the distance in
m iles for each path.
I. A – D – F – J – L = 2 + 3 + 5 + 4 = _ _ _ _ m iles
II. A – C – F – I – L = _ _ _ _ m iles
III. A – B – E – H – L = _ _ _ _ m iles
2. If Tom bik es at a rate of 7 m inutes per m ile, calculate how long it w ill tak e him to cycle each
of the three routes above.
I. 14 m iles x 7 m inutes per m ile = 98 m inutes
II. _ _ _ _ m iles x 7 m inutes per m ile = _ _ _ _ m inutes
III. _ _ _ _ m iles x 7 m inutes per m ile = _ _ _ _ m inutes
3. J ane is considering three different routes from point A to point P. Calculate the m iles for
each route.
I. A – B – E – I – J – M – P = _ _ _ _ m iles
II. A – C – F – K – M – P = _ _ _ _ m iles
III. A – D – G – N – P = _ _ _ _ m iles
4. J ane is able to ride at a speed of 1 m ile every 6 m inutes. Calculate her tim e for each of the 3
paths in q uestion 3.
I. _ _ _ _ m iles x 6 m inutes per m ile = _ _ _ _ m inutes
II. _ _ _ _ m iles x 6 m inutes per m ile = _ _ _ _ m inutes
III. _ _ _ _ m iles x 6 m inutes per m ile = _ _ _ _ m inutes
5. F ind the shortest path in m iles from point A to point S .
I. G ive the path in letters: A _ _ _ _ _ _ _ _ _ _ _ _ _ S
II. W hat is the length of the path in m iles? _ _ _ _ _ m iles
6. If J onathan rides at a speed of 1 m ile every 5 m inutes, how long w ill it tak e him to ride from
point A to point S using the shortest route that you found in q uestion five?
____________________________________________________________________________
7. E very m orning J onathan regularly rides this route: D -F -I-E -C-A-D . H ow far does he ride
each tim e?
____________________________________________________________________________
Name
Answer The
key
page Boring
56, unit
BASIC/Not
Middle31
Grades Math Book
31 9
Page
D iv id e b y Pow ers of T en
RACINGRATES
Nak ia has the need for speed. S he loves things that are fast. H er fascination has led her to read
everything she can find about speeds achieved in air, on w ater, and on land. H ere are som e facts
that she has found. Convert each to k ilom eters per hour.
_____
1. Parachutists can reach speeds of 298,000 m eters per hour in a sk ydiving free fall. D ivide
this num ber by 1000 to find out the parachutist’s speed in k ph.
_____
2. R acing pigeons flying in w indless conditions have achieved speeds of 9.7 x 106 centim eters per hour. D ivide this speed by 100,000 to find the pigeon’s speed in k ph.
_____
3. In 1976 an official w orld air speed record w as set by a jet plane traveling 3,529,560
m eters per hour. D ivide the jet’s speed by 103 to find the rate in k ph.
_____
4. An unofficial w orld record w as set in w ater sk iing in 1979 w hen a speed of 2.06 x 108
m illim eters per hour w as m easured. D ivide this rate by one m illion to find its rate in k ph.
_____
5. In 1977 an unlim ited hydroplane set an unofficial w orld w ater speed record by traveling
at a speed of 55,600 dek am eters. D ividing by a hundred w ill give the speed in k ph.
_____
6. A board sailing w orld m ark w as set in 1980 w hen a speed of 4.5 m illion centim eters per
hour w as recorded. To find the rate in k ph divide by 100,000.
_____
7. The w orld speed record for ice yachting w as set in 1938 w hen a speed of 2.3 x 106 decim eters per hour w as reached. The rate in k ph can be found by dividing by 10,000.
_____
8. Craig B reedlove hopes to bring the w orld land speed record for jet-pow ered vehicles back
to the U nited S tates. H e is developing a new vehicle called the S pirit of Am erica that he
hopes w ill break the sound barrier by traveling at a rate of 1.224 m illion m eters per hour.
B y dividing this num ber by 103 the rate in k ph can be found.
_____
9. The top speeds achieved by sk ateboarders in a standing position are so fast that they
w ould outpace both speed sk aters and racehorses. A w orld speed record set in 1978
clock ed the rate of a standing sk ateboarder to be 8.6 m illion centim eters per hour. D ivide
this speed by 100,000 to find the answ er in k ph.
10. If the previous 9 speedsters w ere to be rank ed by their speeds in k ph, put a rank beside
them w here 1 w ould be the fastest and 9 w ould be the slow est.
Name
Answer The
key
page Boring
56, unit
BASIC/Not
Middle40
Grades Math Book
40 10
Page
R atio
WHITE WATER CALCULATIONS
To find the rate at w hich K atarina K ayak er paddles on her practice sessions on different runs, use
this ratio:
rate in m iles per hour (m ph) = distance
tim e
If you k now the rate, but not the tim e, use this ratio:
tim e = distance
rate (m ph)
F ill in the m issing inform ation on the chart. R ound answ ers to the nearest tenth.
NAME of R U N
D istance
Tim e
R ate (m ph)
4.8 m i
.4 hrs
_ _ _ _ m ph
2. R ipping R apids
7.21 m i
.7 hrs
_ _ _ _ m ph
3. Pacific O cean E dge
8.64 m i
1.1 hrs
_ _ _ _ m ph
4. D anger D rop G orge
19.04 m i
1.6 hrs
_ _ _ _ m ph
5. Craz y Canyon R apids
4.09 m i
.66 hrs
_ _ _ _ m ph
6. W atch-out W hirlpool
14.59 m i
.9 hrs
_ _ _ _ m ph
7. L az y Current
12.25 m i
2.5 hrs
_ _ _ _ m ph
8. Tw enty F alls R iver
29 m i
2.9 hrs
_ _ _ _ m ph
9. B rok en B ack B end
7.44 m i
.8 hrs
_ _ _ _ m ph
10. L ast Chance G orge
14.08 m i
1.6 hrs
_ _ _ _ m ph
11. E ternity R un
24.84 m i
_ _ _ _ hrs
6.9 m ph
12. S nak e R iver S courge
6.16 m i
_ _ _ _ hrs
8.8 m ph
13. Never Never R apids
8.33 m i
_ _ _ _ hrs
11.1 m ph
14. B ig W ave G orge
10.92 m i
_ _ _ _ hrs
9.1 m ph
15. S w itchback R iver
19.92 m i
_ _ _ _ hrs
8.3 m ph
1. W allaw alla R iver R un
O n w hat run does she have her fastest speed? _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _
W hat run is the slow est? _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _
Name
Answer The
key
page Boring
70, unit
BASIC/Not
Middle197
Grades Math Book
19711
Page
R atio
ON COURSE
At each of these courses, som e inform ation is m issing. F ind either
the rate, tim e, or distance for each sport that has tak en place there.
R em em ber that: distance (d) = rate (r) x tim e (t)
S o: r = d⁄t and t = d⁄r
3. sk i jum per
1. m ountain clim ber
3m i
13.5 m i
_ _ _ _ _ _ _ hr
_ _ _ _ _ _ _ hr
60 m ph
.5 m ph
4. speed sk ater
2. sk ier
300 m eters
_______ m i
_ _ _ _ _ _ _ m in
3.33 hrs
75 m eters per m in
7 m ph
6. bobsled racer
4.25 m i
5. pow erboat pilot
.05 hr
_______ m i
_ _ _ _ _ _ _ m ph
.15 hr
120 m ph
8. race car driver
114 m i
7. m ountain bik er
35 m i
.6 hr
1.4 hr
_ _ _ _ _ _ _ m ph
_ _ _ _ _ _ _ m ph
Name
Answer The
key
page Boring
70, unit
BASIC/Not
Middle198
Grades Math Book
19812
Page
102
Get Sharp: F ractions
Page 13
C ompare & O rd er F rac tions
HIGHSPEED SPORTING
B obsledding is a fast and dangerous w inter sport. It’s also one of the m ost thrilling. The sleds are
m ade of alum inum and steel, and they travel up to 90 m iles per hour. The length of each sled
cannot exceed 121⁄2 feet.
1. Place the sleds in order by their length. L ist these sleds from
longest to shortest.
U nited S tates’ sled
117⁄8 feet
_____________________
J am aica’s sled
121⁄3 feet
_____________________
S w itz erland’s sled
118⁄9 feet
_____________________
Canada’s sled
121⁄2 feet
_____________________
R ussia’s sled
111⁄4 feet
_____________________
2. The total w eight allow ed on a bobsled (including the crew ) is
1,389 pounds. Place these sleds in order by their w eight,
listing them from the lightest to the heaviest.
U nited S tates
1,3331⁄2 lbs.
_____________________
J am aica
1,3861⁄3 lbs.
_____________________
S w itz erland
1,3863⁄4 lbs.
_____________________
Canada
1,3861⁄8 lbs.
_____________________
R ussia
1,3333⁄4 lbs.
_____________________
3. Cham pionship bobsled races consist of four heats. The team w ith the
low est com posite (total) score w ins. Total the follow ing heats and circle
the w inning team .
U nited S tates 21⁄2 m inutes, 3 m inutes, 31⁄2 m inutes, and 21⁄2 m inutes
J am aica
21⁄2 m inutes, 21⁄2 m inutes, 31⁄2 m inutes, and 21⁄2 m inutes
S w itz erland
21⁄3 m inutes, 2 m inutes, 21⁄2 m inutes, and 3 m inutes
Canada
2 m inutes, 21⁄2 m inutes, 2 m inutes, and 21⁄3 m inutes
R ussia
23⁄4 m inutes, 21⁄2 m inutes, 21⁄2 m inutes, and 3 m inutes
Name
Answer The
key
page Boring
63, unit
BASIC/Not
Middle118
Grades Math Book
11814
Page
S k ills T es t
F or 2 7 -3 2 , p lac e the frac tions in order from
sm allest to largest.
1⁄ 2 2⁄ 9 1⁄ 3 3⁄ 4 2⁄ 3 1⁄ 4
F or 5 5 -5 9 , c hange the frac tions to p erc ents.
(R ou nd p erc ents to nearest w hole p erc ent.)
55. 3⁄4 _ _ _ _ _ _ _ _ _ _
58. 9⁄5 _ _ _ _ _ _ _ _ _ _
59. 1⁄5 _ _ _ _ _ _ _ _ _ _
27.
____________
30.
____________
56. 7⁄8 _ _ _ _ _ _ _ _ _ _
28.
____________
31.
____________
57. 9⁄12 _ _ _ _ _ _ _ _ _
29.
____________
32.
____________
F or 6 0 -7 1 , c hange the dec im als to p erc ents and
the p erc ents to dec im als. (D o not
rou nd any dec im als.)
F or 3 3 -3 8 , redu c e eac h frac tion to its
low est term s.
33. 12⁄15 _ _ _ _ _ _ _ _
36. 21⁄49 _ _ _ _ _ _ _ _
34. 16⁄20 _ _ _ _ _ _ _ _
37. 9⁄45 _ _ _ _ _ _ _ _ _
35. 9⁄12 _ _ _ _ _ _ _ _ _
38. 28⁄42 _ _ _ _ _ _ _ _
60. 0.36 _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _
61. 14.7%
______________________________
62. 1.950 _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _
63. 0.56%
F or 3 9 -4 4 , w rite T or F to tell w hether eac h p air
of frac tions is eq u iv alent.
______________________________
64. 27.261 _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _
65. 3490%
______________________________
_ _ _ _ _ 39. 3⁄5 = 15⁄25
_ _ _ _ _ 42. 7⁄12 = 42⁄60
66. 0.0795 _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _
_ _ _ _ _ 40. 9⁄12 = 2⁄3
_ _ _ _ _ 43. 2⁄3 = 40⁄66
67. 7.36%
_ _ _ _ _ 41. 4⁄22 = 2⁄11
_ _ _ _ _ 44. 11⁄15 = 22⁄33
68. 0.0046 _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _
69. 116.43%
F or 4 5 -4 9 , rou nd the dec im als to the p lac e
in b old ty p e.
______________________________
____________________________
70. 33.06 _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _
71. 226.7%
45. 0.4632 _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _
_____________________________
47. 0.275 _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _
F or 7 2 -8 1 , solv e the p rob lem s b elow . W rite the
answ ers on the lines. (R ou nd
dec im als to the nearest hu ndredth.)
48. 12.0361 _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _
72. 12 ⁄ 3 + 26 ⁄10 _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _
49. 0.0055 _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _
73. 9 ⁄5 + 2⁄5 _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _
46. 173.06 _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _
74. 1.593 + 164.001 _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _
F or 5 0 -5 4 , c hange the dec im als to frac tions or
the frac tions to dec im als. (R ou nd
dec im als to the nearest hu ndredth.)
75. 63⁄4 – 63⁄5 _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _
50. 7⁄12 _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _
77. 4⁄5 ÷ 7⁄8 _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _
51. 2⁄3 _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _
78. 1.8 ÷ 0.36 _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _
52. 0.080 _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _
79. 22.7 x 66.66 _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _
53. 9.33 _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _
80. 21 ⁄2 ÷ 4 2 ⁄3 _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _
54. 73.04 _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _
81. 71 ⁄10 x 19⁄5 _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _
76. 5⁄13 x 4⁄5 _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _
Name
Answer
page
62Middle Grades Math Book
The key
BASIC/Not
Boring
15915
Page
99
Page 16
Id entify E q u iv alent F rac tions
F
AMOUS WORDS
L aw rence Peter “ Y ogi” B erra w on the Am erican B aseball L eague’s Most V aluable Player Aw ard
three tim es—1951, 1954, and 1955. Most folk s also rem em ber him for his fam ous, unpredictable
com m ents. To discover one of his m ost fam ous sayings, m atch each fraction above to an eq uivalent
fraction below .
(D on’t w orry if you see an alphabet letter several tim es. That just m eans that the letter is used
several different tim es in Mr. B erra’s fam ous com m ent and that the fractions are eq uivalent, too.)
D ots represent spaces betw een w ords.
Name
Answer The
key
page Boring
63, unit
BASIC/Not
Middle123
Grades Math Book
12317
Page
Id entify E q u iv alent F rac tions
TOP 1
0QUESTIONS
H ere are 10 top q uestions about som e top 10 topics in sports. Y ou’ll need to be in top shape w ith
your understanding of eq uivalent fractions to answ er these correctly. Choose your answ ers from
the fractions sprink led around the page.
1. O f the 10 m ost com m on sports injuries, 6 are specific to legs and k nees.
W hat fraction is eq uivalent to this ratio of 6 ⁄10 ? _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _
2. 5 of the 10 highest-earning sports m ovies feature boxing. W hich fraction
is eq uivalent to this ratio?_ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _
3. O ver 40 m illion households w atched S uper B ow l X V I, the biggest TV
audience ever for a sports event through 1996. O f the top 10 m ostw atched sporting events, 8 others w ere S uper B ow ls. W hat fraction
show s the ratio of S uper B ow ls to the total of 10?_ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _
4. R iots, stam pedes, crushes, collapsed stands, and fires at soccer gam es
m ak e up 7 of the top 10 w orst disasters at sports events in the 20th
century. W hat fraction show s the ratio of non-soccer disasters to soccer
disasters? _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _
5. In the 10 w orst disasters at sports events, about 1900 people w ere k illed.
Approxim ately 1000 of these deaths happened at soccer events. W hat
fraction show s this ratio? _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _
6. The top 10 O lym pic m edal– w inning countries in bobsledding have w on a
total of 90 m edals. S w itz erland holds 25 of these. W hat fraction show s
the ratio of S w itz erland’s m edals to the total?_ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _
7. U .S . F igure sk ater K risti Y am aguchi, one of the top 10 w orld and
O lym pic title holders for w om en, holds 3 titles. K atarina W itt holds 6.
S onja H eine is num ber one w ith 13.
a. W hat fraction show s the ratio of K risti’s to K atarina’s titles? _ _ _ _ _ _ _ _
b. W hat fraction show s the ratio of K risti’s to S onja’s? _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _
8. In the list of top 10 w inners of the W orld S eries, the NY Y ank ees are first
w ith 22 w ins. The B oston R ed S ox are # 5 w ith 5 w ins. W hat fraction
show s the ratio of B oston to NY ? _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _
9. In the list of the top 10 O lym pic m edal– w inning countries, the U .S . at #
1 has over 1900. The U S S R /CIS has over 1100. W hat fraction show s the
U .S . to U S S R /CIS ratio? _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _
10. O f the top 10 highest-paid sportsm en in the w orld in 1995, 2 w ere
bask etball players. W hat fraction show s the ratio of bask etball players to
non-bask etball sportsm en? _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _
Name
Answer The
key
page Boring
63, unit
BASIC/Not
Middle124
Grades Math Book
12418
Page
F rac tions in L ow es t T erms
WEIGHINGIN!
Many athletes have to pay attention to their w eight to participate in athletics. S om e athletes, such
as football players, w restlers, or fighters, m ay w ish to increase w eight. In m any cases, athletes are
trying to reduce their w eight. These fractions are a bit “ w eighty.” They need reducing. In each case,
reduce them to their low est term s.
1.
4⁄ 8
_________
11.
2⁄ 8
_________
21. 15⁄18
2.
12⁄ 16
_________
12. 6⁄8
_________
22.
6⁄ 9
_________
3.
20⁄ 25
_________
13.
4⁄ 8
_________
23.
3⁄ 12
_________
4.
15⁄ 30
_________
14.
2⁄ 12
_________
24.
25⁄ 30
_________
5.
2⁄ 6
_________
15. 8⁄20
_________
25. 30⁄48
_________
6.
3⁄ 9
_________
16. 10⁄25
_________
26.
50⁄ 100
_________
7.
9⁄ 27
_________
17.
25⁄ 35
_________
27.
9⁄ 24
_________
8.
12⁄ 15
_________
18.
32⁄ 36
_________
28.
13⁄ 39
_________
9.
36⁄42
_________
19. 20⁄55
_________
29. 8⁄16
_________
2⁄ 4
_________
20. 12⁄21
_________
30.
4⁄ 18
_________
10.
_________
R e d u c e d or No t R e d u c e d ? That is the q uestion.
Circle all the fractions that are reduced to low est term s. If a fraction is not reduced to low est
term s, reduce it and w rite your answ er beside the fraction.
Name
Answer The
key
page Boring
64, unit
BASIC/Not
Middle125
Grades Math Book
12519
Page
103
Page 20
105
Page 21
106
Get Sharp: R atios
Page 22
107
Page 23
Get Sharp: R atios
W rite R atios
ON TO WIMBLEDON?
J ana and Cindy have been playing tennis in the
hopes of m ak ing the high school team in the spring.
Their m ost recent head to head m atch w as w on by
J ana in three sets w ith scores of 6– 1, 2– 6, and 6– 3.
H ere are the statistics of their m ost recent m atch. They
each m ight learn som ething to im prove their gam es if
they exam ine these num bers carefully. Y ou w ill need to
w rite a ratio to analyz e each statistic.
1. S ince J ana’s gam es w on are listed first in the set scores, she w on 14 of the 24 gam es
that w ere played.
_____
a. W rite J ana’s w ins to total gam es played as a reduced ratio.
_____
b. F ind a reduced ratio for J ana’s gam es w on to Cindy’s gam es w on.
_____
2. In the first set J ana served 36 points and got 16 first serves in bounds. S tate her first
serves to points served as a reduced ratio.
_____
3. J ana w on 12 of the points in w hich she got her first serve in bounds. W rite a reduced
ratio to show these points com pared to her first 16 good serves.
_____
4. J ana served tw o aces (service w inners) out of the 16 first serves that w ere good. F ind a
reduced ratio for J ana’s service aces to good first serves.
The chart below gives an analysis of Cindy’s shots for the m atch.
5. F ind reduced ratios for each of the
follow ing com parisons.
_____
a. unforced errors that w ere
volleys to total volleys
_____
b. lobs that w ere good shots to
lobs that w ere unforced errors
_____
c. total overheads to overhead
shots that w ere unforced
errors
_____
d. good shots that w ere ground
strok es to total good shots
Name
Answer The
key
page Boring
66, unit
BASIC/Not
Middle149
Grades Math Book
14924
Page
D etermine R ate & W rite R atios
AND THEY’
RE OFF!
S am is a runner. H e can run the 1000 m eters in 2.50 m inutes. That is a ratio of 1000 :2.50 or
4000 : 10 or 400 :1 and can be stated as a rate of 400 m eters per m inute. S am is interested in
investigating the speeds achieved in other races.
1. The K entuck y D erby is a fam ous horse race in L ouisville,
K entuck y, that covers a distance of 1 m ile 550 yards or 2110
m eters. O ne horse ran the race in 2 m inutes.
_____
a. F ind the rate achieved by the race horse in m eters per m inute.
_____
b. S ince 2 m inutes is 120 seconds, find the rate of the race horse
in m eters per second.
_____
2. Am y V an D yk en sw am to a new Am erican record in the 50 m
freestyle at the 1996 Atlanta O lym pic G am es w ith a tim e of
just under 25 seconds. F ind her rate in m eters per second.
_____
3. Am ateur cyclists racing from a standing start can cover 1000
m eters in 62.5 seconds. F ind the rate of these cyclists in
m eters per second.
4. Tw elve dogs can pull a sled through the snow a distance of
3900 m eters every 10 m inutes.
_____
a. G ive the sled dog’s speed in m eters per m inute.
_____
b. S ince 10 m inutes is 600 seconds, find the dog’s speed in
m eters per second.
5. R acing greyhounds can achieve speeds over 37 m iles per hour.
37 m iles is about 60,000 m eters, and one hour is 3600 seconds.
_____
a. Calculate the greyhound’s speed in m eters per second.
_____
b. According to their speeds in m /s, w hich is faster: the horse in
# 1, the cyclist in # 3, or the greyhound?
_____
6. At the B arcelona O lym pics the U .S . Men’s 4 x 100 relay team of
Marsh, B urrell, Mitchell, and L ew is covered the 400 m eters in
37.4 seconds. G ive this speed in m /s.
_____
7. D ale J arrett w on the pole position for the D aytona 500 in 1995
w ith a speed of 193.5 m ph. This is eq uivalent to 309,600
m eters per 3600 seconds. W hat is this speed in m eters per
second?
_____
8. The fastest Indianapolis 500 w as w on in 1990 by Arie
L uyendyk w hen his car covered the 500 m iles in 2.69 hours.
G ive this w inning speed in m iles per hour.
_____
9. K enny B ernstein set the Top F uel D rag R acing speed in 1994
w hen his car covered the 1320 foot strip in 2.86 seconds. F ind
this speed in feet per second.
Name
Answer The
key
page Boring
66, unit
BASIC/Not
Middle150
Grades Math Book
15025
Page
S olv e Proportions
ARE WE LOST—OR WHAT?
Irm a and Im a are going to participate in their second S tate O rienteering Meet.
It is a 2-person novice team event to be held in the state park . B oth girls are
confident of their com pass sk ills and are anxious to try out their m ap reading
under com petitive conditions. They w ill pick up their control card and m ap to
begin at 9:05 A.M. The m ap is draw n using a scale of 1 cm = 50 m . L et’s hope
they don’t get lost. L et’s hope you rem em ber how to solve proportions. Y ou’ll
need to w rite and solve proportions for several of these problem s.
_____
1. Irm a begins by m easuring the distance betw een the start triangle
and the circle on the first control point w hile Im a sets the
com pass to a bearing of 325° . S ince the distance on the m ap is
7 cm , the com petitors set up a proportion to calculate the actual
distance to the first control point. W rite the proportion and solve
it to find the distance to the first control point. (Y ou’ll need to use
cross m ultiplication.)
_____
2. The m ost direct route from the first to second control points is a train trestle, but it has
been m ark ed out of bounds. Im a and Irm a have m easured and calculated the distances of
tw o alternate paths, but m ust determ ine w hich one is the q uick er route.
a. O ne path follow s a w inding fire road for 750 m . If 50 m of fire road tak es 24 seconds to
travel, how long w ill this route tak e?
b. The second route is 320 m and req uires crossing a hilly forest and a stream . If the girls can
cover about 40 m in 48 seconds, how long w ill this tak e?
c. W hich w as faster?
_____
_____
3. Irm a notices that the process of tak ing six com pass bearings has tak en a total of 96 seconds.
a. S olve the proportion 2⁄? = 6⁄96 to find out how long 2 com pass bearings tak e.
b. H ow long w ill it tak e to com plete 5 com pass bearings?
_____
_____
_____
4. The com petitors have to decide w hether to go right or left around an irregularly shaped
field that says, “ NO TR E S PAS S ING .” W hile the distance to the left w ill tak e 240 seconds to
travel, it w ill req uire stopping to tak e 5 com pass bearings. The distance around the right
side w ill tak e 290 seconds but w ill req uire 2 com pass bearings.
a. H ow long w ill it tak e to go right?
b. H ow long w ill it tak e to go left?
c. W hich is q uick er according to your calculations, and by how m any seconds?
_____
_____
_____
5. The hom e leg show s a bearing of 120° to get to the tw o concentric circles m ark ing the
finish area. If the final leg is 375 m , how long is the line on the m ap m ark ing the hom e leg?
_____
6. The total tim e for Irm a and Im a w as 42 m inutes. L ast year they finished in 16th place w ith
a tim e of 48 m inutes. The ratio of their place to their total tim e is the sam e as last year’s
ratio of place to total tim e. W hat w ill their finishing place be this year?
Name
Answer The
key
page Boring
66, unit
BASIC/Not
Middle151
Grades Math Book
15126
Page
R ead & W rite Proportions
UNDERGROUND EXPLORATIONS
Maria and six certified spelunk ing friends are going to explore S alam ander Cave to collect sam ples for
environm ental testing. It has been reported that sew age throw n into sink holes has polluted the
underground stream w hich feeds the cave. The strenuous trip w ill tak e seven hours and w ill involve
rope w ork for clim bing and rappelling. U se proportions to solve these problem s. W rite the answ ers.
1. To get the exploration party from the cars to the m outh (entrance) of the cave involves follow ing
a m ap w hich has a scale of 3 cm to 1000 ft.
a. The m ap show s that the distance from the road to
the spring in the forest is a distance of 11 cm . W rite a
proportion to calculate the distance to the spring in feet. _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _
b. The distance from the spring to the cave is about 2500 ft.
W rite a proportion that w ill calculate how far apart the
spring and the cave should be on the m ap. _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _
2. Tw o lengths of rope w ill be necessary eq uipm ent for this excursion. O ne rope w ill be 350 ft. long
to rappel into the cave and another rope w ill be used for scaling rock face. The specialty
clim bing rope being used w eighs 2 lbs. for every 15 ft.
a. W rite a proportion to calculate the w eight of the 350-ft. rope. _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _
b. If the second rope w eighs 48 lbs., w rite a proportion to calculate its length. _ _ _ _ _ _ _ _ _ _ _ _
3. To get into the cave, the spelunk ers w ill rappel dow n a 315-ft. pit. This req uires the use of carabiners on a rack so that the descent can be controlled. F or each 75 lbs. of w eight one carabiner
is placed on the rack . W rite a proportion to calculate how m any carabiners are necessary to
eq uip a rappeller that w eighs 200 lbs. w ith his eq uipm ent. _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _
4. The certified clim ber w ill scale an 85-ft. rock face. F or safety he w ill install spring-loaded
cam m ing devices into creases in the rock every 15 ft., w hich w ill break his fall in the event that
he should slip. W rite a proportion that w ill help to calculate the num ber of spring-loaded
cam m ing devices necessary to m ak e a safe clim b.
____________________________________________
5. The cave m ap is draw n to the scale of 2 cm = 75 ft.
a. If the m ap show s the w aterfall to be 9 cm from the
m outh of the cave, w rite a proportion that w ill
calculate how far into the cave the party m ust hik e
before reaching the w aterfall.
__________________________________________
b. If the back of the cave is k now n to be 1200 ft. from
the m outh of the cave, w rite a proportion to figure
how m any centim eters in length that the m ap of
the cave should be.
__________________________________________
Name
Answer The
key
page Boring
66, unit
BASIC/Not
Middle152
Grades Math Book
15227
Page
Proportions
6. E very spelunk er is responsible for bringing three sources of light that w ill each burn tw ice as
long as the expected duration of the trip underground. Maria has chosen to bring a batteryoperated headlam p, chem ical light stick s, and candles. S ince the trip is to last 7 hours, each
of her light sources should burn 14 hours. W rite a proportion to calculate the num ber of light
stick s each spelunk er w ould need
to bring if each light stick lasts 4 hours. _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _
7. W hen the explorers reach the back of the cave, they w ill tak e w ater sam ples from Crystal L ak e
to test for pollution. The last tim e the lak e w ater w as tested it w as determ ined that the lak e
contained no coliform bacteria.
a. If a 1000 m l sam ple contains 0.1 m l of coliform pollution,
w rite a proportion to calculate the gallons of coliform
pollution in a 500,000-gallon lak e. _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _
b. If 3 parts per m illion is the standard for w ater that can be m ade safe
by boiling, w rite a proportion for calculating how m any m illiliters
of coliform pollution m ust be found in a 1000 m l sam ple in order
to declare Crystal L ak e too polluted for drink ing. _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _
8. To clim b out of the pit at the m outh of the cave, Maria has chosen to use prussic k nots. If each
turn in the k not is capable of handling 50 lbs. of w eight, w rite a proportion to determ ine how
m any turns Maria should tie into each of her prussic k nots if she estim ates that her total
w eight w ill be 160 lbs. w ith clothing, eq uipm ent,
and m ud as she prepares to m ak e her ascent out of the cave. _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _
9. The girls spent 5 m inutes clim bing for every 2 m inutes they w ere involved in other exploring
task s. If they w ere in the cave for 420 m inutes, how m uch of that tim e
did they spend clim bing? (S et up a proportion to help solve this.) _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _
10. Im a can carry 8 pounds of eq uipm ent for each 30 lbs. of her body w eight. If she is carrying
30.4 lbs., how m uch does she w eigh?
(S et up a proportion to help solve this.) _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _
Name
Answer The
key
page Boring
66, unit
BASIC/Not
Middle153
Grades Math Book
15328
Page
S olv e Proportions
THE END OFTHE TRAIL
W rite a proportion to show the relationship betw een the num bers in these
problem s from the last day on the
trail. U se x as the unk now n
num ber in the proportion.
Then solve each proportion.
1. O n the last day, the hik ers covered
4.5 m iles in 2 hours. If the total
w alk ing tim e w as 6 hours, and they
w alk ed at the sam e rate all day, how
long w as the trail?
Answ er: _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _
2. Mik e took 21 pictures w ith his cam era
in the first 3 hours on the trail. H e
continued his picture-tak ing at the
sam e rate through the w hole hik e.
H ow m uch tim e had passed w hen
he’d tak en 35 pictures?
5. The group ate 9 bags of gorp on their
w ay out of the w ilderness area. Their
hik e w as 6 hours long. Assum ing that
they ate at the sam e rate throughout
the hik e, how m uch tim e did it tak e
to eat 6 bags of gorp?
Answ er: _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _
Answ er: _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _
3. Toni drank 0.75 q uarts of w ater in the
first 3 m iles of the trail. At this rate,
how m uch w ill she drink in 13 m iles?
S olve these proportions.
Answ er: _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _
4. Matt rested 15 tim es in 5 hours. H e
rested at the sam e rate throughout
his hik e. H ow m any tim es did he rest
in 3 hours?
6. n⁄12 = 5⁄15
n= ______________________________
7.
⁄n = 72⁄108
n= ______________________________
12
Answ er: _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _
Name
Answer The
key
page Boring
78, unit
BASIC/Not
Middle310
Grades Math Book
31029
Page
Perc ent, R atio
CHANCE FOR A BULL’
SEYE
Y ou m ay not be as sharp as Alonz o w ith an arrow , but you can probably
help him solve som e of these problem s about percent and ratio.
R ound each problem to the nearest w hole num ber.
1. If Alonz o got 4 bull’s-eyes out of 22 shots,
w hat is his percentage of perfect shots? _ _ _ _ _ _ _ _ _
2. H e hit the w all 3 tim es out of 33 shots.
W hat percent of all shots is this? _ _ _ _ _ _ _ _ _ _ _ _ _
3. 40% of Alonz o’s 55 shots today
have been hitting the 50 ring.
H ow m any shots is this? _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _
4. Alonz o’s archer friend, Abigail, practices
7 out of every 10 days. H ow m any days
has she practiced in the last 10 w eek s? _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _
1 00
50
40
30
20
10
5
5. Today, Abigail has brought 12 sandw iches to share w ith friends at
practice. U nfortunately, her pet m ouse got into her back pack and ate parts
of 5 of them . W hat percent of the sandw iches are still in good shape? _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _
6. Alonz o’s first practice round score is 165. If he shot 6 arrow s, then
he scored w hat percent of the total possible points for that round? _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _
7. E ach arrow costs $ 3.40, and Alonz o break s 10% of all the arrow s he
buys. If he buys 150, how m uch m oney does he lose on brok en arrow s? _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _
8. Abigail’s high school has 2500 students. The girls’
archery team has .6% of the school’s students as
m em bers. H ow m any m em bers does the team have? _ _ _ _ _ _
9. If Alonz o hits the 100 ring once, the 50 ring tw ice,
the 40 three tim es, the 30 tw ice, and the 10 tw ice,
w hat percent of the total points are provided by
the arrow s that have hit the 10 and 30 rings? _ _ _ _ _ _ _ _ _ _ _ _
10. If the archery team gets a bull’s-eye on 20% of their
total shots today, and the num ber of bull’s-eyes is 27,
how m any shots did they tak e all together?_ _ _ _ _ _ _ _ _ _ _ _ _ _
Name
Answer The
key
page Boring
69, unit
BASIC/Not
Middle190
Grades Math Book
19030
Page
R atio
OUTOFGAS
The team has great batting averages, but Coach struck out at
calculating his gas m ileage for this trip. Y ou can find out ahead
of tim e w hat k ind of m ileage the van w ill get on their trips, or
how m uch gas they’ll need, by using these ratios:
m iles
gas used
= _ _ _ _ _ _ _ m iles per gallon (m pg)
m iles
= _ _ _ _ _ _ _ gas used (in gallons)
m iles per gallon (m pg)
F or q uestions 1-8, find the gas
m ileage (m pg). (R ou nd answ ers
to the nearest tenth.)
F or q uestions 9-16, find the am ount
of gas used. (R ou nd answ ers
to the nearest tenth.)
1.
400 m i = _ _ _ _ _ _ _ m pg
20 gal
9.
179 m i = _ _ _ _ _ _ _ gal
10 m pg
2.
420 m i = _ _ _ _ _ _ _ m pg
25 gal
10.
226 m i = _ _ _ _ _ _ _ gal
18.5 m pg
3.
252 m i = _ _ _ _ _ _ _ m pg
16.4 gal
11.
216 m i = _ _ _ _ _ _ _ gal
22 m pg
4.
310 m i = _ _ _ _ _ _ _ m pg
21.6 gal
12.
344 m i = _ _ _ _ _ _ _ gal
20.2 m pg
5.
199 m i = _ _ _ _ _ _ _ m pg
12.5 gal
13.
395 m i = _ _ _ _ _ _ _ gal
23.1 m pg
6. 100.2 m i = _ _ _ _ _ _ _ m pg
12.6 gal
14.
133 m i = _ _ _ _ _ _ _ gal
6 m pg
7. 515.8 m i = _ _ _ _ _ _ _ m pg
28.2 gal
15.
198 m i = _ _ _ _ _ _ _ gal
12 m pg
8. 287.9 m i = _ _ _ _ _ _ _ m pg
17.3 gal
16.
395 m i = _ _ _ _ _ _ _ gal
25 m pg
Name
Answer The
key
page Boring
70, unit
BASIC/Not
Middle196
Grades Math Book
19631
Page
Mathematics:
Geometry
Skill Description
2622:use geometric properties to determine angle measures
2635:use coordinate graphs to plot and name ordered pairs
0606.3.9:Graph ordered pairs of integers in all four quadrants of the Cartesian coordinate system
2636:use coordinate graphs to plot simple figures
2640:draw and discuss transformations
3.3 3.3 Apply transformations and use symmetry to analyze mathematical situations.
6.3.spi.4 6.3.spi.4. identify the results of transformations of two-dimensional figures (i.e..,
rotations/turns, flips/reflections, slides/translations);
2641:identify congruence and construct congruent plane and solid geometric figures
2648:understand the properties of plane geometrical figures
2651:identify and classify plane and solid geometric figures and the relationships between them
6.3.spi.3 6.3.spi.3. classify two-dimensional geometric figures using properties;
6.3.spi.5 6.3.spi.5. use spatial reasoning to identify the three-dimensional figure created from a
two-dimensional representation (net)of that figure (i.e., cube, rectangular prism, pyramid, cone, or
cylinder);
6.3.spi.6 6.3.spi.6. classify angles as acute, obtuse, right, or straight.
6.3.spi.7 6.3.spi.7. classify quadrilaterals using their defining properties.
2658:identify, classify, and draw angles found in plane and solid geometric figures
3.1 3.1 Analyze characteristics and properties of two-and three-dimensional geometric figures.
6.3.spi.6 6.3.spi.6. classify angles as acute, obtuse, right, or straight.
Page 32
2659:identify parallelism in plane and solid geometric figures
6.3.spi.1 6.3.spi.1. identify parallel, perpendicular, and intersecting lines;
2666:use the Pythagorean Theorem
Page 33
12 5
Page 34
Get Sharp: Plane Geom etry
C ong ru ent A ng les
ON T
ARGET
In the sport of archery, archers shoot 72 arrow s at the target. A score of 720 is a perfect score. S ee
if you can get a score this high by identifying congruent angles in the figures below and answ ering
q uestions about the angles. E ach correct answ er is w orth 60 points.
3
4
60
pts
1
60
pts
2
75°
1. ∠1 ≅ ∠ ___
8
5
7
6
4. W hat does ∠ 6
m easure? _ _ _ _ _ _ _ _
2. ∠3 ≅ ∠ ___
5. L ist all angles that are
congruent to ∠10.
60
pts
__________________
60
pts
__________________
12
9
11
10
6. L ist all angles
congruent to ∠ 13 .
___________
7. L ist all angles
congruent to ∠ 15 .
_______________
60
pts
60
pts
30 27
29 28
19
26
13
18 14
17 15
16
9. If ∠ 2 1 m easures
60° , w hat does ∠ 3 1
m easure? ______
10. If ∠ 2 5 m easures
60° , w hat does
∠ 2 2 m easure?
______________
8. If ∠ 2 5 and ∠ 2 6
m easure 60° , w hat
does ∠ 2 7 m easure?
___________
32
31
3. If ∠ 8 m easures 75° ,
w hat other angle
m easures 75° ?
_______
11. L ist all angles
congruent to ∠ 2 6 .
______________
______________
20
21
12. L ist all angles
congruent to ∠ 2 8 .
______________
______________
25 22
24 23
Name
Answer The
key
page Boring
60, unit
BASIC/Not
Middle83
Grades Math Book
83 35
Page
18 9
Page 36
Get Sharp: E x pressions & E q u ations
L oc ate Points on a C oord inate G rid
CREATURE COORDINATES
B ugs are a fact of life on a cam ping trip. L ightning bugs, beetles, spiders, m osq uitoes, and other
critters k eep the cam pers com pany.
F ind the location of the creatures on the coordinate grid. W rite an ordered pair of num bers to
show the location (coordinates) for each bug.
W r ite a n o r d e r e d
p a ir fo r e a c h .
1. A _ _ _ _ _ _ _
2. B _ _ _ _ _ _ _
3. C _ _ _ _ _ _ _
4. D _ _ _ _ _ _ _
5. E _ _ _ _ _ _ _
6. F _ _ _ _ _ _ _
7. G _ _ _ _ _ _ _
W r ite th e le tte r.
8. W hat creature is at (6, 7)?
______________________________
9. W hat creature is at (– 4, 0)?
______________________________
10. W hat creature is at (5, – 4 and 6, – 4)?
______________________________
11. W hat creature is at (– 5, – 6)?
______________________________
12. W hat creature is at (0, 1)?
______________________________
Dr a w a c r e a tu r e a t e a c h o f
th e s e lo c a tio n s :
13. a spider at (5, 0)
14. a fly at (– 8, – 8)
15. a dragonfly at (0, – 6)
16. a m osq uito at (– 7, – 2)
17. a spider at (– 2, 6)
18. a w orm at (4, – 7)
19. a fly at (– 6, – 2)
20. a bee at (– 1, – 2)
Name
Answer The
key
page Boring
78, unit
BASIC/Not
Middle302
Grades Math Book
30237
Page
O rd ered Pairs on a C oord inate G rid
A ST
ARTLINGMEETING
Mik e has m et an unexpected visitor! W hat creature has he stum bled upon?
To find out, follow the directions to plot points and draw lines on the coordinate grid.
Plot the points in the first three colum ns.
W hen the points are plotted, connect them in the order given.
(0, – 2)
(0, 4)
(8, 2)
(1, – 4)
(– 4, 3)
(6, 6)
(4, – 2)
(– 6, – 2)
(2, 8)
(2, 2)
(– 3, – 7)
(0, 8)
(– 2, 1)
(0, – 9)
(– 4, 6)
(– 3, – 2)
(2, – 9)
(– 6, 4)
(– 2, – 3)
(4, – 8)
(– 8, – 1)
(1, – 6)
(5, – 7)
(– 8, – 4)
(6, – 2)
(7, – 5)
(– 6, – 7)
(4, 4)
(9, – 3)
S top.
Continue to the
Continue to the
Connect
the points.
next colum n.
next colum n.
Plot these points.
Connect them in the
order given.
(0, – 1)
(2, – 2)
(2.5, 0)
(1, 1)
(0, 1.5)
(– 2, – 2)
(– 2, – 3)
S top.
Connect the points.
Name
Answer The
key
page Boring
78, unit
BASIC/Not
Middle303
Grades Math Book
30338
Page
G raph E q u ations w ith T w o V ariab les
LINEAR CONTEMPLATIONS
Mik e has had no bites for hours, so he’s fallen asleep contem plating the
possibilities for his fishing line. W hich hook in the graph is attached to
Mik e’s line? Y ou can find out by graphing the linear eq uation.
G raph the solutions show n on the table.
Connect the solutions w ith a line.
This w ill show w hich hook is attached to Mik e’s fishing line.
Com plete the tables to find solutions for the linear eq uations on this page and the next page
(pages 304 and 305). Then graph each eq uation to find the right hook for each line.
A.
B.
Name
Answer The
key
page Boring
78, unit
BASIC/Not
Middle304
Grades Math Book
30439
Page
T rans formations
SLIDES,FLIPS,&TURNS,CONT.
Identify the transform ation for each pair of figures.
W rite S for slide (translation), F for flip (reflection) or T for turn (rotation).
8. _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ 9. _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ 10. _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _
D raw a reflection of the figure
on the grid.
Nam e the corresponding points.
11. (– 1, 6) corresponds to _ _ _ _ _ _ _
12. _ _ _ _ _ _ _ corresponds to _ _ _ _ _ _ _
13. _ _ _ _ _ _ _ corresponds to _ _ _ _ _ _ _
14. _ _ _ _ _ _ _ corresponds to _ _ _ _ _ _ _
O n this grid, draw a slide, flip, or turn of the hik er.
Name
Answer The
key
page Boring
78, unit
BASIC/Not
Middle307
Grades Math Book
30740
Page
13 3
Page 41
T rans formations
SLIDES,FLIPS,&TURNS
R eflections are exact opposites, or flips,
of a figure. They are one k ind of transform ation to k now and use. S lides and turns
are the other tw o.
A figure can be m oved on a coordinate
plane.
F or each point of a figure, there is a
corresponding point in the m oved (transform ed) figure.
This show s a triangle and its reflection.
F or each point on the first triangle, w rite its
corresponding point on the flipped (reflected)
figure.
1. (– 5, 3) corresponds to _ _ _ _ _ _ _ _ _ .
2. (– 5, – 1) corresponds to _ _ _ _ _ _ _ _ _ .
3. (– 1, – 3) corresponds to _ _ _ _ _ _ _ _ _ .
This is a translation (slide) of a rectangle.
F or each point on the rectangle, w rite its
corresponding point on the translated
rectangle.
4. (– 2, 7) corresponds to _ _ _ _ _ _ _ _ _ _ _ _ _ _ _
5. _ _ _ _ _ _ _ corresponds to _ _ _ _ _ _ _ _ _ _ _ _ _
6. _ _ _ _ _ _ _ corresponds to _ _ _ _ _ _ _ _ _ _ _ _ _ _
7. _ _ _ _ _ _ _ corresponds to _ _ _ _ _ _ _ _ _ _ _ _ _
Name
Answer The
key
page Boring
78, unit
BASIC/Not
Middle306
Grades Math Book
30642
Page
13 2
Page 43
S imilar and C ong ru ent F ig u res
SEEINGDOUBLE
S ynchroniz ed sw im m ing w as added to the S um m er O lym pic G am es in 1984. W hen w atching duet
synchroniz ed sw im m ing, you think you are seeing double! L ook at the geom etric figures below and
decide if you are seeing double (or congruent shapes) or just tw o shapes that are sim ilar!
Co n g r u e n t p o ly g o n s are exactly the sam e. S im ila r p o ly g o n s have the sam e shape. Their
corresponding angles are congruent and their corresponding sides are proportional.
Place the letters after each correct answ er on the corresponding blank s below to discover the only
Am erican in 20 years to w in all 3 synchroniz ed sw im m ing events at a W orld Cham pionship.
________________________
1
2
1.
________________________ —________________________
3
4
5
6
2.
sim ilar– B E C
congruent– TE R
neither– J O Y
3.
sim ilar– K Y
congruent– R I
neither– L Y NN
4.
sim ilar– ANN
congruent– O E N
neither– AN
sim ilar– L E E
congruent– J E R
neither– D Y R
5.
6.
sim ilar– S MI
congruent– L AN
neither– J O N
sim ilar– TH
congruent– CE R
neither– E S
Name
Answer The
key
page Boring
60, unit
BASIC/Not
Middle78
Grades Math Book
78 44
Page
C ong ru ent Poly g ons
FLIPPED FIGURES
D ivers and gym nasts do plenty of flips and turns. G eom etric figures can be flipped and turned, too.
B ut if the m easurem ents of the sides and angles stay the sam e, a figure w ill not change. W hen a
polygon has the sam e num bers of sides and angles, w ith the sam e m easurem ents as another figure,
the figures are c o n g r u e n t, even if the figures are in a different position.
Match each polygon in Colum n A w ith its congruent polygon in Colum n B .
Colum n A
Colum n B
1. _ _ _ _ _ _ _
2. _ _ _ _ _ _ _
3. _ _ _ _ _ _ _
4. _ _ _ _ _ _ _
5. _ _ _ _ _ _ _
6. _ _ _ _ _ _ _
7. _ _ _ _ _ _ _
8. _ _ _ _ _ _ _
9. _ _ _ _ _ _ _
10. _ _ _ _ _ _ _
11. _ _ _ _ _ _ _
12. _ _ _ _ _ _ _
Name
Answer The
key
page Boring
60, unit
BASIC/Not
Middle84
Grades Math Book
84 45
Page
12 8
Page 46
12 9
Page 47
13 1
Page 48
K ind s of Poly g ons
THE COLORS OFTHE OLYMPICS
At the opening cerem onies of the O lym pics, Tasha w as aw ed by the beautiful, colorful flags. S he
had never guessed that flags could be so different! Match her w ritten descriptions of the flags to the
draw ings on the next page. W rite the nam e of the country’s flag after each description.
1. O ne strik ingly beautiful flag contained 1 triangle, 2 trapez oids of different colors, and
1 pentagon. Country _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _
2. Another one caught m y eye because it had a dodecagon and 4 rectangles.
Country _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _
3. Near the O lym pic torch, I spotted a flag w ith 3 trapez oids and
1 rectangle. Country _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _
4. O ne spectacular flag w as loaded w ith polygons. Am ong them
w ere 8 triangles, 2 colored parallelogram s, 2 colored trapez oids,
and one large colored dodecagon, am ong other figures.
Country _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _
5. A beautiful flag at the end of the stadium had 2 eq uilateral triangles,
2 isosceles triangles, and another polygon w ith 16 sides.
Country _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _
6. Another strik ing flag contained 12 triangles surrounding a
circle. Country _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _
7. This flag w as very sim ple, yet I couldn’t tak e m y eyes off it. It
held 1 eq uilateral triangle, 2 trapez oids, 2 hexagons, and 1
decagon that is surrounded by a w hite stripe.
Country _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _
8. I saw a young athlete carrying a flag w ith 2 triangles,
2 trapez oids, and 1 pentagon. Country _ _ _ _ _ _ _ _ _ _ _ _
9. In the blank flag shape labeled A, design a flag w ith 2
trapez oids, 2 triangles, and 1 or 2 other polygons of
your choice.
10. In the blank flag shape labeled B,
design a flag w ith polygons of your
choice. L ist here the polygons you used: _ _ _ _ _ _ _ _ _ _ _
____________________________________________
____________________________________________
U se w ith page 71.
Name
Answer The
key
page Boring
59, unit
BASIC/Not
Middle70
Grades Math Book
70 49
Page
K ind s of Poly g ons
CONTINUED
THE COLORS OFTHE OLYMPICS,
U se w ith page 70.
TAIW AN
TANZ ANIA
S W EDEN
JAMAICA
S U DAN
U NITED KINGDOM
S OU TH AFR ICA
KU W AIT
A
B
Name
Answer The
key
page Boring
59, unit
BASIC/Not
Middle71
Grades Math Book
71 50
Page
K ind s of T riang les
POOLSIDE GEOMETRY
O ne of the O lym pic Pools that K endall used in com petition had an unusual and spectacular tile
m osaic bottom . Identify the triangles and other figures by coloring them according to the k ey below .
blue = scalene triangles
red = eq uilateral triangles
green = isosceles triangles
black = right triangles
yellow = other shapes
Name
Answer The
key
page Boring
59, unit
BASIC/Not
Middle72
Grades Math Book
72 51
Page
K ind s of Q u ad rilaterals
DIFFERENT—YETTHE SAME
The O lym pic G am es capture attention lik e no other sporting event. An estim ated 35 billion people w atch
this international com petition. The O lym pics bring together people from alm ost 200 different countries.
The athletes and fans share the com m on interest in the sports contests, but they represent w idely diverse
back grounds. The shapes you run into at the O lym pics are just as diverse, even if they share com m on
characteristics. Many of them are q uadrilaterals (4-sided polygons) yet the q uadrilaterals differ.
A.
Match these different q uadrilaterals w ith their correct definitions.
_____
1. parallelogram
A. a parallelogram w ith all sides and angles congruent
_____
2. trapez oid
B . a q uadrilateral w ith exactly one pair of parallel sides
_____
3. rectangle
C. a parallelogram w ith all angles congruent
_____
4. rhom bus
D . a parallelogram w ith all sides congruent
_____
5. sq uare
E . a q uadrilateral w ith tw o pairs of parallel sides
B . Color each O lym pic-related
q uadrilateral in this picture
according to the k ey at the
right. If one falls into 2 or
m ore categories, color it
partially w ith each color
that applies.
trapez oids—blue
parallelogram s—red
rectangles—green, w hite
sq uares—purple
rhom buses—yellow
triangles—black
Name
Answer The
key
page Boring
59, unit
BASIC/Not
Middle73
Grades Math Book
73 52
Page
Properties and Parts of C irc les
NO HORSINGAROUND
W hen S tephanie trains her horse for dressage, she spends m any hours req uiring the horse to do
precise m ovem ents. U se the circle diagram to answ er the q uestions about each com m and.
1. S tand at the center.
(W hat point is this?) _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _
3. W alk the radii.
(Nam e the segm ents.) _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _
2. W alk both diam eters.
(Nam e the line segm ents.) _ _ _ _ _ _ _ _ _ _ _ _ _ _ _
4. W alk an acute central angle.
(Nam e the angle.) _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _
T
H
5. W alk an obtuse central angle.
(Nam e the angle.) _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _
J
6. W alk all intersecting chords.
(Nam e the chords.) _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _
7. W alk 3 chords.
(Nam e 3 chords.) _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _
M
P
N
8. W alk 5 arcs.
(Nam e 5 arcs.) _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _
K
9. W alk all central angles.
(Nam e all central angles.) _ _ _ _ _ _ _ _ _ _ _ _ _ _ _
10. The horse w alk s MN.
This is 12 feet. H ow long is MK ? _ _ _ _ _ _ _ _ _ _
Q
R ead the follow ing statem ents concerning circles. D eterm ine if each
statem ent is a lw a y s true (A), s o m e tim e s true (S ), or n e v e r true (N).
_ _ _ _ _ 11. S om e arcs are line
segm ents.
_ _ _ _ _ 12. Chords are diam eters.
_ _ _ _ _ 13. All radii in a cirle are the
sam e length.
_ _ _ _ _ 14. All diam eters in a circle are
the sam e length.
_ _ _ _ _ 15. A central angle has its
vertex on the circle.
_ _ _ _ _ 16. S m all circles m easure less
than 360 degrees. L arger
circles m easure m ore than
360 degrees.
_ _ _ _ _ 17. Circles are congruent.
_ _ _ _ _ 18. Circles are regular polygons.
_ _ _ _ _ 19. All radii are half the length of all
diam eters of a particular circle.
_ _ _ _ _ 20. All diam eters pass through
the center of the circle.
Name
Answer The
key
page Boring
60, unit
BASIC/Not
Middle76
Grades Math Book
76 53
Page
13 4
Get Sharp: Space Geom etry
Page 54
13 5
Page 55
V olu me of S pac e F ig u res
DUFFEL BAGMATH
If you snooped inside the duffel bag of this O lym pic athlete, you w ould find som e containers that
are space figures. Identify each space figure by nam e, then find its volum e. (R ound each answ er to
the nearest hundredth.)
W hich container has the greatest volum e?
Prism
V =B h
S phere
V = 4⁄3 πr3
Cone
V = πr 2 h1⁄3
Cylinder
V = πr 2 h
r = radius
h = height
B = area of base
Name
Answer The
key
page Boring
60, unit
BASIC/Not
Middle85
Grades Math Book
85 56
Page
V olu me of Pris ms and Py ramid s
PRISM &PYRAMID CALCULATIONS
O ne night after the gam es the athletes from E gypt and Mexico w ere discussing the uniq ue landm ark s in their countries. They q uick ly realiz ed that both groups had pyram ids in their hom eland.
R ead about the pyram ids below and determ ine their volum e. U sing the form ula V = 1⁄3 B h, find the
volum e of each pyram id.
EGY PT
1. The Pyram id at Madydun is 93 m high. The E gyptian athletes w eren’t sure of the other
m easurem ents, so they estim ated. They believed that the pyram id had a sq uare base that w as
about 75 m on each side.
2. The largest pyram id in the w orld is K hufu. Its sq uare base m easures 230 m on each side, and
it is 147 m high.
CENTR AL AMER ICA
3. The Pyram id of the S un is the largest pyram id in Mexico. It is 66 m high. The athletes estim ated that the base of the pyram id w as a sq uare that m easures about 45 m on each side.
L ater, the athletes discussed the difference betw een a pyram id and a prism . They rem em bered that
the volum e form ula for a rectangular prism w as V = Bh or V = lw h.
Match the follow ing rectangular prism s w ith their volum es.
_____
4. l = 15 in., w = 13 in., h = 17 in
a. 13.125 in3
_____
5. l = 2.5 in., w = 1.5 in., h = 3.5 in
b. 3315 in3
_____
6. l = 1.2 in., w = 1.2 in., h = 1.2 in
c. 1.728 cm
3
U se w ith page 87.
Name
Answer The
key
page Boring
60, unit
BASIC/Not
Middle86
Grades Math Book
86 57
Page
V olu me of Pris ms and Py ramid s
CONTINUED
PRISM &PYRAMID CALCULATIONS,
U se w ith page 86.
Match the follow ing triangular prism s w ith their volum es. D on’t forget how to m easure a triangular
base! F ind the area of the triangular base and then m ultiply that num ber by the height of the prism .
d.
160 m
e.
42.875 m
f.
70 ft3
g.
60 yd3
3
3
C
H
A
L
L
E
N
G
E
O
L
Y
M
P
I
C
W hich has the greatest volum e? _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _
Name
Answer The
key
page Boring
60, unit
BASIC/Not
Middle87
Grades Math Book
87 58
Page
M eas u ring L eng th
AN OLYMPICTRADITION
If you follow these directions
carefully, you’ll create a draw ing
of a sym bol that has represented
the O lym pics for hundreds of years.
U se the next page for your draw ing.
1. B eginning at point A draw an
eq uilateral triangle. L abel the
triangle AB C. Point B is on the
left side of the paper and Point C
is on the right side of the paper.
E ach side of the triangle m ust
m easure 4 inches.
2. F rom Point B draw a straight line (tow ard the top of the paper)
that m easures 3 3⁄4 inches. L abel this line segm ent B E .
3. U sing point E as the vertex of the angle, draw ∠ B E F . It m ust
m easure 40º. (Point F should be to the right of point E .) The length
of E F m ust m easure 1 inch.
4. F ind the m idpoint of B C and label it point J . F rom point J , m easure (tow ards the top of the
paper) 51 ⁄4 inches and draw a point. L abel it point G .
5. F rom point C draw a staight line (tow ard the top of the paper) that m easures 51⁄ 2 inches.
L abel this segm ent CI.
6. F ind the m idpoint of J C. L abel this point K .
7. Place point H 41⁄ 2 inches above point K .
8. U sing point F as the vertex of the angle, draw ∠ E F G . It m ust m easure 75º. The length of F G
m ust m easure 21⁄ 2 inches. Point G is near the top of the paper.
9. U sing point H as the vertex, draw ∠ G H I. It m ust m easure 80º. The length of G H m ust
m easure 1 inch and H I m ust m easure 11⁄2 inches.
10. W hat O lym pic sym bol did you create? _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _
U se page 95 for your draw ing.
Name
Answer The
key
page Boring
61, unit
BASIC/Not
Middle94
Grades Math Book
94 59
Page
Points , L ines , and Planes
FLYINGFEATHERS
There is an O lym pic legend that H ercules, an archer, founded the O lym pic gam es.
Instead of shooting arrow s into a target, ancient archers used live tethered doves
as their targets. U sing birds as targets gave birth to the saying, “ Now the feathers
are really flying!” Check your aim w ith the follow ing problem s.
S tudy the diagram and answ er the q uestions below .
N
G
O
M
A
F
H
I
B
J
D
E
C
L
K
1. Nam e 10 points. _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _
2. Nam e 2 lines. _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _
____________________________________________________________________________
3. Nam e 10 line segm ents. _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _
____________________________________________________________________________
4. Nam e 4 pairs of parallel line segm ents. _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _
5. Nam e 2 pairs of perpendicular line segm ents. _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _
6. Nam e 6 rays. _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _
7. Planes are nam ed by giving the vertices of a face of a figure. Nam e 5 planes. _ _ _ _ _ _ _ _ _ _ _ _ _ _
____________________________________________________________________________
____________________________________________________________________________
Name
Answer The
key
page Boring
59, unit
BASIC/Not
Middle66
Grades Math Book
66 60
Page
13 9
Page 61
Reading:
Language Usage
Skill Description
5361:avoid use of double negatives
3.01 Demonstrate knowledge of standard English usage.
5363:use correct subj
ect/verb agreement
6.3.spi.3 identify sentences with correct subj
ect-verb agreement (person/number)within context.
6.3.spi.4 identify the correct use of nouns (i.e., common/proper, singular/plural, possessives),
pronouns (i.e., agreement, subj
ect, obj
ect), verbs (i.e., action/linking, regular/irregular,
agreement), adj
ectives (i.e., common/proper, comparative forms), and adverbs (i.e., comparative
forms)within context.
5365:use regular and irregular plurals correctly
6.3.spi.2 identify the correct spelling of plurals and possessives.
6.3.spi.4 identify the correct use of nouns (i.e., common/proper, singular/plural, possessives),
pronouns (i.e., agreement, subj
ect, obj
ect), verbs (i.e., action/linking, regular/irregular,
agreement), adj
ectives (i.e., common/proper, comparative forms), and adverbs (i.e., comparative
forms)within context.
Page 62
100
Get Sharp: Usage Guide
Page 63 Better Grades & Higher Test Scores / READING & LANGUAGE
C o rrec t U s e o f Neg ativ es
A DOUBLE NEGATIVE IS A NO-NO!!
S cuba d iving alone is a no-no. S o is using d ouble negatives. Never get caught d oing either of these!
A double negative is a construction in w hich tw o negatives are used w hen one is sufficient!
U nd erline the d ouble negatives you find in the follow ing sentences. Then rew rite each of those
sentences, correcting the error(s). S everal sentences are correct. In the spaces at the bottom of
the page, record the first letter of each correct sentence, and your w ise choices w ill reveal a
d ouble positive!
1 . Y ou have only five m inutes of air in your tank .
__________________________________________________
2. Tina could n’t hard ly m ove her arm after the jellyfish sting.
__________________________________________________
3 . D id n’t you ever d o nothing about that leak in the boat?
__________________________________________________
4. E van can hard ly see through his cloud ed m ask .
__________________________________________________
5 . W e haven’t but tw o d ays of vacation left.
__________________________________________________
6 . I can’t find no shipw reck s around here.
__________________________________________________
7 . S cuba d iving alone m ak es no sense.
__________________________________________________
8 . B ob never d ives in no d angerous places.
__________________________________________________
9 . Y esterd ay, w e had scarcely any free tim e to sw im .
__________________________________________________
1 0. There isn’t no ice left in the cooler.
__________________________________________________
1 1 . E veryone searched for treasure, but there w as none.
__________________________________________________
1 2. S even d ivers have searched , but haven’t found anything.
__________________________________________________
1 3 . I haven’t ever seen no barracud a.
__________________________________________________
1 4. If you aren’t seeing one now , you’re not seeing nothing!
__________________________________________________
_____ _____ _____ , _____ _____ _____ !
Name
Answer The
key
page Boring
48, unit
BASIC/Not
Middle242
Grades Language Arts Book
24264
Page
96
Better Grades & Higher Test Scores / READING & LANGUAGE
97
Page 66
S u b jec t-V erb A g reemen t
AGREE ORDISAGREE
D eep-sea d ivers usually get along w ith m ost of the sea creatures they m eet. If they d on’t, it could
be d isastrous. S ubjects and verbs in clauses need to get along, too. If they d isagree, sentences w ill
sound strange or be confusing.
The s ubjec t and verb of any clause m ust agree in num ber. If a subject is singular, the verb
m ust be singular. E x am ple: The lobster’s claw (singular) is (singular) d angerous. If a
subject is plural, the verb m ust be plural. E x am ple: D ivers (p lural) d ress (p lural) carefully.
I. D o these subjects and verbs get along? Y E S or NO ? Correct each sentence w here the subject and
verb d o not agree.
_____
1 . Neither Pete nor D oug are going w ater sk iing. _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _
_____
2. S and fleas are d isgusting pests. _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _
_____
3 . A gull’s favorite m eal is not m acaroni and cheese. _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _
_____
4. Tracy’s pants is blow ing overboard . _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _
_____
5 . The boys boast broad m uscles and big tattoos. _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _
_____
6 . B ak ed peanut butter and m old y cheese m ak es a cooler stink ! _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _
_____
7 . E ach of the contestants are req uired to m od el bathing suits. _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _
_____
8 . H alf of the d rink s w as m issing. _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _
_____
9 . E verybod y is invited to the clam bak e. _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _
_ _ _ _ _ 1 0. L ots of singers and d ancers is on the program . _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _
_ _ _ _ _ 1 1 . O ne of the m usicians are d oing a com ed y act. _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _
_ _ _ _ _ 1 2. W here are the bongo players? _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _
_ _ _ _ _ 1 3 . The group, The S and pipers, w asn’t any good . _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _
_ _ _ _ _ 1 4. W hat if one of the hula d ancers trip and falls. _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _
II. M atch each subject w ith an agreeable verb.
(Y ou w ill need to use only about half the verbs!)
S U B JE C T S
geese
a subm arine
the sea captain
angel fish
sand crabs
VE R B S
hid es
scurry
pinches
sw im
d ive
surfaces
fly
honk s
com m and s
salute
Name
Answer The
key
page Boring
48, unit
BASIC/Not
Middle237
23 7 67
Page
70
Get Sharp: Gram m ar Guide
Better Grades & Higher Test Scores / READING & LANGUAGE
71
Page 69
Get Sharp: Gram m ar Guide
S in g u lar an d P lu ral No u n s
SEE YOU AT THE CLUB
The signs at the beach clubhouse are covered w ith plural nouns. F ind them all! Then w rite each
plural on a line below , follow ed by the m atching rule (1 , 2, 3 , or 4) that governs that plural.
Rules for Forming Plural Nouns
1.
2.
3.
4.
F orm m ost plurals by ad d ing s to the singular noun.
If the singular noun end s in s, ss, sh, c h, or x , ad d es to form a plural noun.
If the noun end s in y preced ed by a consonant, change the y to i and ad d es.
S om e nouns, such as m an or m ouse, are form ed irregularly.
Plural
Rule
1 2.
____________________________
____
____
13.
____________________________
____
____________________________
____
1 4.
____________________________
____
4.
____________________________
____
15.
____________________________
____
5.
____________________________
____
16.
____________________________
____
6.
____________________________
____
17.
____________________________
____
7.
____________________________
____
18.
____________________________
____
8.
____________________________
____
19.
____________________________
____
9.
____________________________
____
20.
____________________________
____
1 0.
____________________________
____
21 .
____________________________
____
11.
____________________________
____
22.
____________________________
____
Plural
Rule
1.
____________________________
____
2.
____________________________
3.
Name
Answer The
key
page Boring
47, unit
BASIC/Not
Middle226
226 70
Page
Irreg u lar V erb s
FIN F
AN FUN
F isherm an F ranz w ill th r ow this little fish back in the w ater. H e th r ew the last three back . In fact,
he h as th r ow n all the fish back that he’s caught tod ay.
T h r ow is an irregular verb. The past and past participle form s d o not follow the usual rules. F or
each of the irregular verbs below , w rite the m issing form (s). Y ou m ay need your gram m ar tex t to
help w ith the answ ers.
v erb
p ast
p ast p artic ip le
1 . catch
_____________
have caught
2. sw im
sw am
__________________
3. _____________
rose
have risen
4. bite
bit
__________________
5 . d ive
_____________
have d ived (d ove)
6 . fly
_____________
have flow n
7 . freez e
_____________
__________________
8 . sit
sat
__________________
9 . hang (ex ecute)
hanged
__________________
1 0. hang (suspend )
_____________
have hung
1 1 . d rink
d rank
__________________
1 2. shak e
_____________
have shak en
13. _____________
shrank
__________________
1 4. _ _ _ _ _ _ _ _ _ _ _ _ _
spok e
have spok en
1 5 . sw ear
_____________
have sw orn
16. _____________
grew
__________________
1 7 . sink
sank
__________________
1 8 . d row n
_____________
have d row ned
1 9 . sing
sang
__________________
Can you solve this rid d le, using parts of the verbs lay , lie, and lie?
IF Y O U _ _ _ _ _ _ _ _ D O W N A ND S A Y Y O U H A V E _ _ _ _ _ _ _ _ D O W N, Y O U W IL L H A V E _ _ _ _ _ _ _ _ .
Name
Answer The
key
page Boring
47, unit
BASIC/Not
Middle233
23 3 71
Page

Customized Activity Book

Transcription

Similar documents

amec reports - NAWIC | Durham Chapter 83

Untitled - Tin Roof

Opryland Hotel 2016e - kiic radio 96.7 fm albia

File

Handout Release V1.pmd - ServiceOntario

a pdf of the full article

1 Submitting Grades via Banner Self Service 1. Go to banweb.mtu

Meetings Brochure - Homewood Suites by Hilton

presented by