Transcript Document 7286480

TCAP
MATH PLAYBOOK
7th Grade
Notes about TCAP
• TCAP is the state mandated test. It will
cover all subjects and will be multiple
choice. It will be given April 23-26. TCAP
will count 25% of your second semester
average. The grades will be shown on
your final report card.
Helpful Tips
• Get a good night sleep and eat a healthy
breakfast. Your brain works better when it is well
rested.
• Take your time and completely read each
question. Make sure you know exactly what the
question is asking *don’t just assume!
• Highlight/ underline important parts in the
question.
• Work out the problems. You can write in the
book- so do it!
• DO YOUR BEST AND ROCK THE TEST!
Day 1: Bell Work
• 1) A jar contains 7 green, 19 black, and 13
pink marbles. A marble is drawn at
random.
P(not pink).
• 2) You flip a coin and toss a 1-6 number
cube. P(heads and 2)
Day 2: Bell Work
• The heights, in inches, of the five starting
players on a baseketball team are listed
below.
• 73, 79, 76, 74, 73
• What is the mean of this data set?
• F 73 inches
G 74 inches
• H 75 inches
J 76 inches
Day 3: Bell Work
• Hector’s art teacher is giving prizes to the 10 students who worked
on a mural for the school. The teacher will write the name of one
prize on each of 10 slips of paper, as shown below.
• - She will write “set of markers” on 4 slips of paper
• - She will write “set of colored pencils” on 3 slips of paper
• - She will write “drawing paper” on 2 slips of paper
• - She will write “set of watercolor paints” on 1 slip of paper
• The teacher will then randomly select one of the slips of paper, and
Hector will win the prize that is written on the slip of paper. What is
the probability that Hector will win a set of markers or a set of
colored pencils?
A 1/5
C 1/2
B 3/7
D 7/10
Day 4: Bell Work
• A small rectangular prism is 4 inches long. A large
rectangular prism is 24 inches long. These two prisms
are similar. Which statement is true?
• a. The volume of the large rectangular prism is 6 times
the volume of the small one.
• b. The volume of the large rectangular prism is 20 times
the volume of the small one.
• c. The volume of the large rectangular prism is 36 times
the volume of the small one.
• d. The volume of the large rectangular prism is 216 times
the volume of the small one.
Day 5: Bell Work
• Jamie has two cartons. The dimensions of
the smaller carton are one-third the size of
the larger carton. If the volume of the
smaller carton is 120 cm3, find the volume
of the larger carton.
• a. 40 cm3
b. 3,240 cm3
c. 1,080 cm3
d. 360 cm3
Day 1: Data Analysis, Statistics and
Probability
• Part 1:
• 0706.5.3 Calculate and interpret mean,
median, mode, upper-quartile, lowerquartile, and interquartile range of a
data set
• Vocabulary
• Mean- average of the numbers (divide the sum by the
amount of numbers added)
• Median- number in the middle *****list least to greatest!
• Mode- number used most often ****there can be more
than one or none at all
• Range- difference of the whole data set (largest # smallest #= range)
• Upper-Quartile- median of the upper set of numbers
• Lower-Quartile- median of the lower set of numbers
• Interquartile range- difference of the quartiles (upperquartile – lower-quartile = interquartile range)
• 1) The test scores of several students are
listed below.
• 2, 27, 6, 29, 22, 6, 11, 8, 30, 6, 25, 19
• Which box-and-whisker plot accurately
represents this data?
•
**What steps do we need to follow to make the plot!
• ** List the 5 parts
–
–
–
–
–
Lower extreme
Lower quartile
Median
Upper quartile
Upper Extreme
• 2) What is the upper quartile of the numbers listed below?
• 6, 47, 54, 15, 42, 41, 7, 39, 36, 41, 43
• F 28
G 41
H 43
J 48
• 3) What is the mean of the numbers listed below?
• 18, 2, 29, 33, 67, 89, 5, 13, 56, 44
• F 31
G 35.6
H 38.2
J 42
• 4) What is the inter-quartile range of the numbers listed below?
• 21, 10, 96, 74, 32, 8, 47, 59, 83, 65, 16
• F 96
G 88
H 58
J 47
• 5) What is the median of the numbers listed below?
• 1, 24, 7, 12, 38, 58, 19, 75
• F 22.5
G 19
H 24
J 21.5
• 6) What is the lower quartile of the numbers listed below?
• 3, 88, 17, 11, 39, 62, 43, 22, 76
• F 17
G 14
H 15
J 11
Part 2:
0706.5.4 Use theoretical
probability to make predictions
• Theoretical Probability: It is the likeliness of an
event happening based on all the possible
outcomes.
• CALIFORNIA
• One card is randomly selected from the bag.
• 1 ) What is the probability that the selected card
shows the letter A?
• A 1/10 B
2/5 C
3/10
D 1/5
• TCAP Practice Book Questions:
• # 11, 16, 24, 42, 45, 50
Day 2 and 3: Geometry and
Measurement
• Part 1:
• 0706.4.1 Solve contextual problems involving
similar triangles.
• Similar triangles: same shape but sizes are
different (each side forms a ratio)
• *You can create a proportion to see if two
triangles are similar. If you know that 2 triangles
are similar then you can, create a proportion to
solve for a missing side length.
• 1) The two similar triangles shown are
patterns used to create a design on a
jacket.
11 in
X
•
2 ½ in
5 in
• What is the value of x, the height of the
smaller triangle, in inches?
• A) 5 ½ in B) 2 1/5 in C) 5 in D) 2 in
• 2) The diagram below represents a triangular
section of a park.
• Triangle WST is similar to Triangle WXY. If the
length of WS is 234 feet, what is the length
W
• of XY ?
X
Y
117 ft
• A 39 feet
• C 117 feet
B 58.5 feet
D 175.5 feet
S
T
117 ft
• *Use this same methods when given a
shadow. *indirect measurement
• 3) A triangle has side lengths of 28 inches, 32 inches,
and 36 inches. Which list shows the side lengths of a
similar triangle?
• F 6 inches, 8 inches, 9 inches
• G 14 inches, 16 inches, 18 inches
• H 21 inches, 26 inches, 27 inches
• J 54 inches, 64 inches, 72 inches
• 4) A triangle has side lengths of 3 inches, 5 inches, and
10 inches. Which list shows the side lengths of a similar
triangle?
• F 9 inches, 12 inches, 30 inches
• G 12 inches, 20 inches, 45 inches
• H 16 inches, 30 inches, 60 inches
• J 24 inches, 40 inches, 80 inches
• TCAP Practice Book Questions:
• # 4, 19, 54
Part 2:
0706.4.3 Apply scale factor to solve
problems involving area and volume.
• Notes about Scale Factor
• Area uses an exponent of 2. You will always square the scale factor.
• Volume uses an exponent of 3. You will always cube the scale
factor.
• There are 3 ways you will be asked these types of problems.
• #1 Given the area/volume of 1 figure and the scale factor- find the
area/volume of the similar figure.
• #2 Given the area/volume find the side length ratio **Remember to
“undo an area” you will square root it (√) and to “undo a volume”
you will cube root it (exponent 1/3)
• #3 Given the 2 side lengths- find the difference in the figures (how
many times larger/smaller one is)
• #1
• A rectangular painting has an area of 720
square inches. Jasmine reduced the length and
• width of this painting by a scale factor of 1/6 to
create a miniature copy. What is the area of
• the miniature copy?
• A 12 square inches
B 20 square inches
• C 60 square inches
D 120 square inches
Change 16 to 1/6 (fraction) on your packet
• #2
• Two squares are similar. The area of the
smaller square is 256 square inches. The
are of the larger square is 324 square
inches. What is the ratio of the side length
of the smaller square to the side length of
the larger square?
• A 256/324
B 64/81
• C 1/4
D 8/9
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#3
Keziah built a scale model of the Gateway Arch in St. Louis, Missouri.
A picture of the arch is shown below.
The base at each end of the actual arch is shaped like an equilateral
triangle with side lengths of 54 feet. Keziah built her model using
equilateral triangles for each base that were foot long on each side.
Which statement about the areas of these triangles is true?
A) The area of the triangle at the base of the actual arch is 27 times the
area of the triangle Keziah used for the base of her model.
B) The area of the triangle at the base of the actual arch is 108 times
the area of the triangle Keziah used for the base of her model.
C) The area of the triangle at the base of the actual arch is 729 times
the area of the triangle Keziah used for the base of her model.
D) The area of the triangle at the base of the actual arch is 11,664 times
the area of the triangle Keziah used for the base of her model.
• TCAP Practice Book Questions:
• # 7, 25, 32
Day 4 and 5: Mathematical
Processes
• Part 1:
• 0706.1.1 Use proportional reasoning to
solve mixture/concentration problems.
• 1) A recipe for making 8 cups of soup requires 4 cups of
water. At this rate, how many cups of water are required
to make 16 cups of soup?
• A 8 cups
• B 12 cups
• C 16 cups
• D 32 cups
• 2) To make a certain concentration of a chemical, a
scientist mixes 81 milliliters of the chemical with 180
milliliters of distilled water. To make more of this
chemical concentration, exactly how many milliliters of
the chemical should the scientist mix with 260 milliliters
of distilled water?
• A36 milliliters
B65 milliliters
• C117 milliliters D161 milliliters
• Part 2:
• 0706.1.2 Generalize a variety of patterns
to a symbolic rule from tables, graphs, or
words.
• 1) The graph shows five points of a
relation.
• Which equation best represents this
relation?
• Fy=x+2
G y = 2x + 3
1
• H
J y1x2
y
2
x3
2
• 2) The table shows values of x and y.
X
Y
3
5
7
9
6
10
14
18
• Which equation represents the pattern shown by the
data in the table?
• A) inversely proportional
• B) directly proportional
• C) linear
• D) Exponential
• Part 4:
• 0706.1.4 Use scales to read maps.
• The map below shows three towns on the same
highway. The scale shown on the map relates
centimeters (cm) to kilometers (km).
• - The distance between Oaktown and Crestview is 2 cm
on the map.
• - The distance between Crestview and Maple Grove is 5
cm on the map.
• According to the scale, what is the actual distance
between Oaktown and Maple Grove along the highway?
• F 98 km
G 70 km
• H 49 km
J 28 km
According to the scale drawing,
which city is approximately
400 miles from Washington,
D.C.?
A Richmond
B Charleston
C Columbia
D Raleigh
• TCAP Practice Book Questions:
• # 2, 10, 14, 21, 26, 29, 36, 44, 48, 51