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  • 8/10/2019 G8Weeks1-9

    1/27Grade 8 Page 1

    Geometry/Measurement

    1

    Problems of the Week

    Visual

    Multi-Step

    Data/Investigations

    Problem-SolvingStrategies

    What Do You Say?

    Draw a picture to answer the following question based on

    the information given:

    Margaret walked 8 blocks south and 3 blocks east fromher home to school. After school she walked 2 blocks

    north and 1 block east to the park. From the park she

    traveled 1 block north and 2 blocks west

    to visit her friend. How far does

    Margaret have to walk to return home?

    An aquarium is 36 inches long, 24

    inches wide and 16 inches tall. The

    aquarium is filled with distilled

    water to a level of 12 inches. If a

    cubic foot of distilled water weighs62.4 pounds, how many pounds of

    water are in the aquarium? Express

    your answer as a decimal correct to

    the nearest tenth.

    From 1996-97 Mathcounts School Handbook

    The Gum Machine

    Karen and Diane are having an argument.

    They both know that the machine is loaded

    with gum balls of 6 different colors. Karenfeels lucky. She thinks she can get each color

    by using only 6 pennies. Diane feels it will

    take at least 15. Lets assume that the machine

    is loaded with an equal number of each color.

    How many pennies do you think are needed to

    get one of each color? Do you agree with

    either Karen or Diane? Use a fair number cube

    to experiment and find your answer.

    Four students are called to sit in four chairs on

    a stage. The students are Bob, Brenda, Carol,

    and Don. Bob and Brenda are cousins. If the

    students are called up in random order and take

    seats in the order in which they are called,

    what is the probability that Bob and Brenda

    will sit next to each other?

    Jack Bean-Stalk has a school teacherwho knows a few magic tricks of her

    own. She is watching her magic beans

    grow according to this pattern.

    Day 1 2 3 4 5 6 7

    # of beans 1 1 2 3 5 8 13

    On which day will she have enough

    magic beans to give at least 5 to each of

    her 20 students?

    Johnny has trouble finding the LCD when

    subtracting fractions. You want to help him.

    Write the steps Johnny needs to follow in

    order to find the LCD.

  • 8/10/2019 G8Weeks1-9

    2/27Grade 8 Page 2

    MentalMath

    1

    Keeping Skills Sharp

    Grade 8

    1. (5 + 3)5

    2. (2)(5)(0)(7)(8)

    3. Write .03 as a fraction.

    4. Write .3as a fraction.

    5. Solve fory:1

    3y = 3

    6. True or False: 522 18 = 18 522

    7. 5 17

    8. Write 25,000 in scientific notation.

    9. 28 22

    10. Simplify: 2x+ 5y 7x+ 2xy

    1. 3 + 8 2 5 =

    2. 10% of 100 =

    3. 9 7 5 =

    4. 12 4 + 5 2 24 6 =

    5. 2[(4 + 11) (12 7)] =

    6.42 3

    17 8

    +

    =

    7. .97(10) =

    8. 31

    3+ 2

    1

    7=

    9. .343 10 =

    10. 36 .6 =

    Write answers here:

    1. ___________

    2. ___________

    3. ___________

    4. ___________

    5. ___________

    6. ___________

    7. ___________

    8. ___________

    9. ___________

    10. __________

    *See answer key. This section should not be duplicated for the students.

  • 8/10/2019 G8Weeks1-9

    3/27Grade 8 Page 3

    1Visual

    Multi-Step

    Data/Investigations

    Geometry/Measurement

    Problem-Solving Strategies

    What Do You Say? Answers will vary;however, students could mention using the prime

    factorization of each denominator to determine the

    LCD.

    Mental Math

    1. 40

    2. 0

    3.3

    100

    4.1

    3

    5. 9

    6. False

    7. 12

    8. 2.5 !104

    9. 210

    10. 5x+ 2xy+ 5y

    Keeping Skills Sharp

    1. 14

    2. 103. 315

    4. 9

    5. 6

    6. 5

    7. 9.7

    8. 510

    21

    9. .0343

    10. 60

    Grade 8

    Answer: 374.4 pounds

    Answers will vary depending upon experiments.

    Strategy: make an organized list or use a formula.

    B BR C D B BR D C B C BR DB C D BR B D BR C B D C BR

    BR B C D BR B D C BR C B D

    BR C D B BR D B C BR D C B

    C BR B D C BR D B C B BR D

    C B D BR C D BR B C D B BR

    D BR C B D BR B C D C BR B

    D C B BR D B BR C D B C BR

    24 possible12 they sit together

    Answer 12/24 = 1/2

    N

    S

    EW

    Home

    8

    blocks

    3 blocks

    2 blocks

    1 block1 block

    2 blocksPark

    School

    Boyfriend

    2 blocks west5 blocks north

    Answer: Day 12

    This section provides an

    oral drill for sharpening

    one's mental computation.

    Before each session give

    these directions, "Number

    your paper from 1 to 10.

    Write your answer as the

    questions are called out.

    Each question will be

    repeated one time only."

    Answer Key

    F

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  • 8/10/2019 G8Weeks1-9

    5/27Grade 8 Page 5

    MentalMath

    2

    Keeping Skills Sharp

    1. In what quadrant would you find the ordered pair

    (2, 3)?

    2. Identify the mode of the data:

    {5, 7, 13, 7, 1, 5, 6, 7}

    3. 8 3 + 2 7 + 12

    4. 60 falls between what two consecutive

    integers?

    5. 5 8 5

    6. 7 13

    4

    7. Write the next number in this pattern:

    3, 9, 27, 81, ___

    8.12

    15 =

    ?

    5

    9. True or false: 2 3 7 = 3 7 2

    10. 71

    3

    1. 5 + 3 2 + 12

    2. 22+ 4 234

    3. Order these numbers from least to greatest: 1

    2, 0, 3, 1, 1

    4. 8 = 3

    5. Compare:1

    3 ?

    1

    4

    6. Compare:15

    28 ?

    19

    42

    7. List all the factors of 36.

    8. Explain why 1 is a prime number.

    9. 30= ____

    10. Half of a dozen

    Write answers here:

    1. ___________

    2. ___________

    3. ___________

    4. ___________

    5. ___________

    6. ___________

    7. ___________

    8. ___________

    9. ___________

    10. __________

    *See answer key. This section should not be duplicated for the students.

  • 8/10/2019 G8Weeks1-9

    6/27Grade 8 Page 6

    2Visual

    Multi-Step

    Data/Investigations

    Geometry/Measurement

    Problem-Solving Strategies

    What Do You Say?

    Mental Math

    1. III

    2. 7

    3. 12

    4. 7 and 8

    5. 200

    6. 51

    4

    7. 243

    8. 4

    9. True

    10. 21

    Keeping Skills Sharp

    1. 23

    2. 6

    3. 3, 1, 1

    2

    , 0, 1

    4. 2

    5. >

    6. 3, 1, 1

    2, 0, 1

    7. (1, 2, 3, 4, 6, 9, 12, 18, 36)

    8. It has only 1 factor.

    9. 110. 6

    Answer: 5

    Answer: 25 inches2

    Answer: 4 3 2 1 = 24124

    Answer: The grandchildren each get $5,000; the son

    gets $20,000; and the widow gets $32,000.

    Answer: 156

    The two expressions are not always the same. For

    example, ifx= 3 andy= 5

    3 (5) = 8 while 3 5 = 2

    This section provides an

    oral drill for sharpening

    one's mental computation.

    Before each session give

    these directions, "Number

    your paper from 1 to 10.

    Write your answer as the

    questions are called out.

    Each question will be

    repeated one time only."

    Answer Key

  • 8/10/2019 G8Weeks1-9

    7/27Grade 8 Page 7

    Geometry/Measurement

    3

    Problems of the Week

    Visual

    Multi-Step

    Data/Investigations

    Problem-SolvingStrategies

    What Do You Say?

    Consider the shape shown.

    Can you keep the perimeter

    the same and make the areasmaller? Larger? If so, draw

    the picture.

    NCTM Magazine

    During Bully's first week working in a

    china shop he breaks a vase that costs$45.89, two glasses that cost $16.25

    each, and a platter that costs $135.49. If

    he makes $5.25 an hour, how many

    hours will he have to work to pay for the

    things he broke?

    Tom has some cubes that are 2

    inches on each side. How many of

    them will fit into a box that is a cube

    with each side 4 inches long?

    For the set (3, 4, 5, 8,x) the mean, median,

    and mode all have the same value. What is

    the value ofx?

    Make a Diagram

    Martinezs A-1 Cars and Trucks is having a

    super sale. Jos and Alex are setting up the lot.

    Mr. Martinez gives them a diagram of the lot

    and these directions. Put the 4-door car in

    front of the van. Put the jeep between the truck

    and the van. Put the sports car to the left of the

    2-door and 4-dor cars. How did Mike and

    Don set up the lot?

    Will the expression 5x

    always be smaller

    than 5? Explain.

  • 8/10/2019 G8Weeks1-9

    8/27Grade 8 Page 8

    1. .765 + 3.876 + 5

    2. Convert .5 to a fraction.

    3. Find the area:

    4. Find the area:

    5.3

    7 14 =

    x Solve forx.

    6. Three loaves of bread cost $3.87. How much do two loaves cost?

    7. Find 55% of 480.

    8. 6 out of 40 is equivalent to ___ out of ___.

    9. 4 + 3 6 9 8

    10. 15 + 0.5

    MentalMath

    3

    Keeping Skills Sharp

    1. What is 25% of 20?

    2. (2 !103) (3 !104)

    3. Solve forx: 12x= 36

    4.

    1

    2

    1

    3

    5. Multiply three tenths by two tenths.

    6. Compare1

    2and .50.

    7. 3x2+ 3y+ 7x2

    8. Solve forx: x2= 25

    9. Express .08 as a fraction in simplest form.

    10. If you simplified(3) (4)(7)(8)(2)(15), would your answer be positive or nega-

    tive?

    5

    2

    3

    2

    2

    Write answers here:

    1. ___________

    2. ___________

    3. ___________

    4. ___________

    5. ___________

    6. ___________

    7. ___________

    8. ___________

    9. ___________

    10. __________

    mm

    mm

    cm

    *See answer key. This section should not be duplicated for the students.

  • 8/10/2019 G8Weeks1-9

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  • 8/10/2019 G8Weeks1-9

    10/27Grade 8 Page 10

    Geometry/Measurement

    4

    Problems of the Week

    Visual

    Multi-Step

    Data/Investigations

    Problem-Solving

    Strategies

    What Do You Say?

    Mr. Ellen had the following exercise on the overhead

    projector for his class to do when they came in Monday

    morning. What was his message to the class? Look ator draw this number line and fill in the letters given in

    the instructions. The first one is done for you.

    M to I is +4 O2to O

    3is +4

    I to O1is 8 O

    3to G

    1is 6

    O1to N

    1is +7 G

    1to D is +3

    N1to N

    2is +2 D to G

    2is +8

    N2to O

    2is 8 G

    2to R is 4

    M I

    A prism with a square base has a

    height of 45 centimeters; the volume is

    7,200,000 cm3. Find the area of the

    base.

    Martinezs A-1 Cars and Trucks is having a

    super sale. What would be the total price of all

    the vehicles if the least expensive is $10,000

    less than the most expensive, the van costs

    $5,500 more than the jeep which costs the

    same as the 4-door, the truck costs $25,000, the

    sports car costs $30,000, and the 2-door is the

    least expensive and costs $2,000 less than the

    4-door?

    2.5 !102= ______ !103

    Explain how you know your answer is

    correct.

    Jamal was hired to do some

    lawn work for $40 a day, but

    on the condition that for

    every day he was idle, he

    should forfeit $15.50. At the

    end of 20 days he had$467.00. How many days

    had Jamal been idle?

    A television station plays 3 songs and 4 com-

    mercials every 20 minutes. For one 20 minute

    segment the director chooses three different

    songs to be played and the producer choosesfour different commercials. The producer then

    decides that the order will be song, commercial,

    two songs, three commercials. How many

    possible arrangements are there for this 20

    minute segment?

    I

  • 8/10/2019 G8Weeks1-9

    11/27Grade 8 Page 11

    MentalMath

    4

    Keeping Skills Sharp

    1. .7 + .02 + 4

    2. What is the LCM of 8 and 12?

    3. What is the GCF of 8 and 12?

    4. What is the complement of a 30angle?

    5. (0.03)2

    6. Write 1.7 !105in standard form.

    7. Multiply: x2(2x+ 3)

    8. 7 2 + 6 3

    9. Solve for k:

    2

    3 =

    8

    k

    10. Write .75 as a fraction.

    5

    4

    3

    4

    Write answers here:

    1. ___________

    2. ___________

    3. ___________

    4. ___________

    5. ___________

    6. ___________

    7. ___________

    8. ___________

    9. ___________

    10. __________

    m

    m

    m

    m

    *See answer key. This section should not be duplicated for the students.

    1. 3 + 2 1 !4 =

    2. Find the perimeter:

    3. Find the measure of angleA.

    4. 5% of 34 =

    5. 0.3 0.4 =

    6. Express 7.4% as a fraction and a decimal.

    7. Solve for n: 12n = 84

    8. 25 + [48 (12 + 4)] 16 =

    9. Solve forx: x+ 2 = 6

    10. Multiply 2.96 5.67; round the answer to the

    nearest hundredth.

    A

    60

  • 8/10/2019 G8Weeks1-9

    12/27Grade 8 Page 12

    4Visual

    Multi-Step

    Data/Investigations

    Geometry/Measurement

    Problem-Solving Strategies

    What Do You Say?

    Mental Math

    1. 4.72

    2. 24

    3. 4

    4. 60

    5. 0.0009

    6. 170,000

    7. 2x3+ 3x2

    8. 16

    9. 12

    10.3

    4

    Keeping Skills Sharp

    1. 1

    2. 18 meters

    3. 60

    4. 1.7

    5. .12

    6.37

    500and 0.074

    7. 7

    8. 12

    9. 4

    10. 16.7832, 16.78

    Answer: GOOD MORNING

    Answer: 160,000 cm2

    Answer: $146,500

    Answer: 6 days idle 14 $40 = 560

    6 15.5 = 93

    $467

    2.5 !102= 0.25 !103

    The two numbers are equivalent, so if we multiply

    one of them by ten by increasing the exponent, then

    we must also divide it by ten by shifting the decimal

    point in 2.5 one place to the left.

    144 possible arrangements

    3 x 4 x 2 x 1 x 3 x 2 x 1 = 144

    This section provides anoral drill for sharpening

    one's mental computation.

    Before each session give

    these directions, "Number

    your paper from 1 to 10.

    Write your answer as the

    questions are called out.

    Each question will be

    repeated one time only."

    Answer Key

  • 8/10/2019 G8Weeks1-9

    13/27Grade 8 Page 13

    Geometry/Measurement

    5

    Problems of the Week

    Visual

    Multi-Step

    Data/Investigations

    Problem-SolvingStrategies

    What Do You Say?

    Show how to slice this

    cube so that the cross

    section is a trapezoid.

    At a local store, the price of all televisions

    was reduced 25%. Store employees aregiven an additional 20% discount

    on sale prices. What would be

    the cost a store employee would pay

    for a television originally

    priced at $360?

    1997-98 Mathcounts Handbook

    A cube has a surface area of 294 cm2.

    What is its volume?

    A math class earned the following set of

    scores on a test:

    4"35"

    6"0 4 5

    7"1 2 3 3

    8"4 9

    9"3

    Create a box plot from these scores.

    Logical Reasoning

    Suppose two identical tanks are to be filled

    with water. The first tank begins filling 5

    minutes before the second tank begins

    filling. The first tank can be filled in 30

    minutes. The second tank can be filled in 20

    minutes. How much time will pass before

    both tanks hold the same amount of water?

    A poll asks students 3 questions: Do you play

    tennis? Do you swim? Do you ride a bike? The

    results are tallied, and the percentage of students

    who participate in each sport is found. Why

    should these data not be presented in a circle

    graph?

  • 8/10/2019 G8Weeks1-9

    14/27Grade 8 Page 14

    MentalMath

    5

    Keeping Skills Sharp

    1. Simplify: 98 3 + 2 3

    2. Write 1.31 as a percent.

    3. Find the volume of a cube with sides measuring

    2 centimeters.

    4. Find the surface area of a cube with sides measuring

    2 centimeters.

    5. Which distance is greater: 5.1 km or 5001 m?

    6. Round 25.9878 to the nearest hundredth.

    7. Solve forx: 2x+ 3 = 7

    8. What is the mean for the following set of numbers

    {7, 4, 7}?

    9. What is 80% of 50?10. Simplify: x 7y+ 4x 2y

    1. How many inches are in 19 yards?

    2. 12 3.987 =

    3. Four pencils and one pen cost $1.25. Two pencils

    and three pens cost $2.25. What is the cost of one

    pen?

    4.3

    4

    5

    12 =

    5. Write the next two numbers in this pattern:

    3, 4, 7, 11, ____, ____

    6. Using the distributive property, write an

    expression equivalent to 4(x+ 3).

    7. Express 100,000 in scientific notation.

    8. Find the area of a rectangle 6" by 4" .

    9. Write in simplest form:10

    16

    10. Which is greater:1

    2or

    1

    3?

    Write answers here:

    1. ___________

    2. ___________

    3. ___________

    4. ___________

    5. ___________

    6. ___________

    7. ___________

    8. ___________

    9. ___________

    10. __________

    *See answer key. This section should not be duplicated for the students.

  • 8/10/2019 G8Weeks1-9

    15/27Grade 8 Page 15

    5Visual

    Multi-Step

    Data/Investigations

    Geometry/Measurement

    Problem-Solving Strategies

    What Do You Say?

    Mental Math

    1. 300

    2. 131%

    3. 8 cm3

    4. 24 cm2

    5. 5.1 km

    6. 25.99

    7. x= 2

    8. 6

    9. 40

    10. 5x 9y

    Keeping Skills Sharp

    1. 684 inches

    2. 8.013

    3. $.65

    4.4

    12 =

    1

    3

    5. 18, 29

    6. (4 x) + (4 3)

    7. 1 !105

    8. 24 sq. in

    9.5

    8

    10.1

    2

    Answer: $216

    Answer: 343 cm3

    Answer: Both tanks will be half full fifteen minutes

    after the first tank starts to fill or ten minutes after

    the second tank starts to fill.

    Each student may participate in more than one or in

    none of the sports. The percentages might not add

    up to be exactly 100%.

    30 40 50 60 70 80 90 100

    This section provides anoral drill for sharpening

    one's mental computation

    Before each session give

    these directions, "Number

    your paper from 1 to 10.

    Write your answer as the

    questions are called out.

    Each question will be

    repeated one time only."

    Answer Key

  • 8/10/2019 G8Weeks1-9

    16/27Grade 8 Page 16

    Geometry/Measurement

    6

    Problems of the Week

    Visual

    Multi-Step

    Data/Investigations

    Problem-SolvingStrategies

    What Do You Say?

    How many cubes are in the

    figure? Be sure to count

    the hidden cubes.

    In a triangle, the largest angle is 29

    degrees more than the smallest. The

    other angle is 13 degrees larger than

    the smallest. What is the smallest

    angle in the triangle?

    In Pollville, records are kept on the previous

    mayors. Here are the ages of the last six

    mayors when they were voted into office:

    45 88 37 42 41 44

    Compare the mean and median. Which is a

    more representative measure of the average

    age? Why?

    Draw a Diagram

    There are 16 tennis players in a single

    elimination tournament. How many tennis

    matches will be played during the

    tournament?

    A students scores on 4 math tests were 89,

    92, 95, and 85. What will he need to make

    on the 5th test to have an average of 93? Is

    this possible?

    Margie had an average of 87 on

    her first five test scores. On thenext two tests she did better. She

    made 1 point higher on the

    seventh test than she did on the

    sixth. Her average on all seven

    tests was now 90. What were her

    two new test scores?

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    17/27Grade 8 Page 17

    MentalMath

    6

    Keeping Skills Sharp

    1. Evaluate ifx= 3: 3x2+ 2

    2. Solve forz:z

    3 =

    7

    21

    3. (23)2

    4. Simplify: 2x(x 3y)

    5. What percent of a day is18 hours?

    6. Find the area of the shaded portion

    of the rectangle:

    7. True or false: 7 < 49

    8. 3 (8)

    9. Convert 14 milligrams to grams.

    10. 12 13 12 3

    Input

    3

    4

    0

    7

    Output

    7

    9

    1

    1. Write all prime numbers between 15 and 25.

    2. 3 is to 15 as 4 is to ____.

    3. Express1

    3as a decimal.

    4. 31

    3 4

    1

    8

    5. 40,320 1.5

    6. Evaluate 2a + 7bif a= 5 and b= 3.

    7. 16 + 23

    8. Find the prime factorization of 120.

    9. Find the perimeter of a rectangle 2.5 cm by 1.5 cm.

    10. Complete the table:

    Write answers here:

    1. ___________

    2. ___________

    3. ___________

    4. ___________

    5. ___________

    6. ___________

    7. ___________

    8. ___________

    9. ___________

    10. __________

    10

    10

    5 5

    m

    m

    m

    m

    *See answer key. This section should not be duplicated for the students.

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    18/27Grade 8 Page 18

    6Visual

    Multi-Step

    Data/Investigations

    Geometry/Measurement

    Problem-Solving Strategies

    What Do You Say?

    Mental Math

    1. 29

    2. 1

    3. 26 or 64

    4. 2x2 6xy

    5. 75%

    6. 25 square meters

    7. False, the two are equal.

    8. true

    9. 0.014 g

    10. 120

    Keeping Skills Sharp

    1. 17, 19, 23

    2. 20

    3. .333

    4.55

    4or 13

    3

    4

    5. 26,880

    6. 31

    7. 12

    8. 23 3 5

    9. 8 cm

    10. 15

    Answer: 97 and 98

    Answer: 46 degrees

    Answer: 15

    Answer: 104. This is possible if there is a bonus

    problem on the test.

    Answer: 35

    Answer: The median is less sensitive to the

    outlier, 88.

    This section provides an

    oral drill for sharpening

    one's mental computation.

    Before each session give

    these directions, "Number

    your paper from 1 to 10.

    Write your answer as the

    questions are called out.

    Each question will be

    repeated one time only."

    Answer Key

  • 8/10/2019 G8Weeks1-9

    19/27Grade 8 Page 19

    Geometry/Measurement

    7

    Problems of the Week

    Visual

    Multi-Step

    Data/Investigations

    Problem-SolvingStrategies

    What Do You Say?

    Add a square to the figure so that the area is 6 square

    units and the perimeter does not change.

    Pebble Pebble!

    A pebble is thrown into a cylindricalwater pool 3 feet in diameter causing

    the water to rise 0.0015 inches. What

    is the volume of the pebble in cubic

    inches?

    The surface area of a cube is

    486 square inches. What is the

    number of inches in the length of

    one of the edges?

    From 1997-98

    Mathcounts School Handbook

    Guess and then Check

    Jack has a total of 10 nickels and quarters. If

    the value of the coins is $1.70, how many

    quarters does he have?

    You are given a scatter plot and told to

    estimate and draw a line of best fit.

    Explain how you do this.

    Give an example of data that would show a

    (1) positive relationship, (2) negative

    relationship, (3) or no relationship when

    displayed on a scatter plot.

  • 8/10/2019 G8Weeks1-9

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    MentalMath

    7

    Keeping Skills Sharp

    1. Solve forx:1

    3x+ 7 = 1

    2. Write 331

    3% as a decimal.

    3. How many quarters equal $20.75?4. A six-pack of soda sells for $2.28. What is the cost per can?

    5. Write5

    4as a percent.

    6. Convert 1.23 !103to standard form.

    7. Simplify: 130

    8. Solve forx:1

    4

    x 8 = 12

    9. 18 is between what two consecutive integers?

    10. True or False: (0.2)(0.8) = 0.16

    1. What is the mode for the following set of scores:

    {75, 62, 71, 88, 73, 88, 72, 77}?

    2. 3 7 4 (8 + 2) =

    3. Give the 6th term in the sequence 1, 4, 9, 16

    4. 6 is 15% of what number?

    5. Simplify: (2x2)3

    6. 75% of 19.00 =

    7. Add four to the multiplicative inverse of

    2

    3 and simplify.

    8. Draw an obtuse angle and estimate its measure.

    9. For the given parallelogram determine the measure of

    anglex.

    10. What percent of 4 is 7?

    Write answers here:

    1. ___________

    2. ___________

    3. ___________

    4. ___________

    5. ___________

    6. ___________

    7. ___________

    8. ___________

    9. ___________

    10. __________

    *See answer key. This section should not be duplicated for the students.

    60 120

    xx

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    7Visual

    Multi-Step

    Data/Investigations

    Geometry/Measurement

    Problem-Solving Strategies

    What Do You Say?

    Mental Math

    1. x= 18

    2. .3

    3. 88

    4. $ .38

    5. 120

    6. 1,230

    7. 1

    8. 80

    9. 4 and 5

    10. True

    Keeping Skills Sharp

    1. 83

    2. 19

    3. 36

    4. 40

    5. 8x6

    6. 14.25

    7. 51

    2

    8. Answers will vary

    ( 90< measure of angle

  • 8/10/2019 G8Weeks1-9

    22/27Grade 8 Page 22

    Geometry/Measurement

    8

    Problems of the Week

    Visual

    Multi-Step

    Data/Investigations

    Problem-SolvingStrategies

    What Do You Say?

    The dot patterns show the first three square numbers.

    Show the next two square numbers. Use exponents

    to write each number.

    Simplify the following expression:

    x+ 4(y+ 8x)

    Write the property that allows you to

    complete each step (out to the side).

    On five tests (on which scores could range

    anywhere from 0 to 100, inclusive) Johnny

    had an average of exactly 88. Find the lowest

    score Johnny could have received on one test.

    Make a Table

    The sum of two brothers ages is 38. One

    brother is ten years older than the other.How old is each brother?

    Estimate the measure of the indicated angle

    in degrees. Explain or show how you got

    your estimate.

    x

    In the diagram, lines mand nare

    parallel. The measure of angle 1 is 44

    more than the measure of angle 2. Find

    the smaller of the two angles.

    1 2n

    m

  • 8/10/2019 G8Weeks1-9

    23/27Grade 8 Page 23

    8

    Keeping Skills Sharp

    1. 25 + 5

    2. True or False:16

    0 = 0

    3. Solve forx:x

    4 6 = 16

    4. Express 2.3 !104in standard form.

    5. In which quadrant does the ordered pair (3, 4) lie?

    6. Convert 5,000,000 millimeters to kilometers.

    7. Write 489,000 in scientific notation.

    8. 19 23

    9. 0 6

    1

    2 + 3

    10. 11 7

    1. Find the mean of 4, 6, 3, 12, 5.

    2. Find the median of the numbers in Problem #1.

    3. What are the next 2 numbers in the pattern?

    1, 2, 4, 8 16, ___, ___

    4. Order from least to greatest:

    .5, .05, .5001, .49

    5. Find the measure of anglex:

    6. Simplify:

    2x2y+ 7x+ 2x2yxy2

    7. An elevator started at the first floor and went up 18 floors. It

    then came down 11 floors and went back up 16. At what

    floor was it stopped?

    8. (3x2y)3

    9. Find the area of a circle with radius of 8 cm.

    10. What does area mean?

    Write answers here:

    1. ___________

    2. ___________

    3. ___________

    4. ___________

    5. ___________

    6. ___________

    7. ___________

    8. ___________

    9. ___________

    10. __________

    MentaMath

    80x

    *See answer key. This section should not be duplicated for the students.

    x

  • 8/10/2019 G8Weeks1-9

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    8Visual

    Multi-Step

    Data/Investigations

    Geometry/Measurement

    Problem-Solving Strategies

    Answer: 14 years, 24 years

    What Do You Say?

    135

    Sample explanation: 90 + .5 ( 90) = 135

    Mental Math

    1. 20

    2. False

    3. 40

    4. 23,000

    5. II

    6. 5 km

    7. 4.89 !105

    8. 4

    9. 91

    2

    10. 18

    Keeping Skills Sharp

    1. 6

    2. 5

    3. 32, 64

    4. 0.05, 0.49, 0.5, 0.5001

    5. 100

    6. 4x2y+ 7xxy2

    7. 24

    8. 27x6y3

    9. 201 cm2

    10. Number of square units needed to cover a

    surface

    42 52

    x+ 4(y+ 8x)

    =x+ 4y+ 4 8x Distributive Property

    =x+ 4y+ 32x Substitution

    =x+ 32x+ 4y Commutative Prop. of Add.

    = 1x+ 32x+ 4y Multiplicative Identity

    = (1 + 32)x+ 4y Distributive Property

    = 33x+ 4y Substitution

    100 88 5 = 440 440

    100 400

    100 40

    100

    400

    Answer: The smaller angle is 68 degrees.

    This section provides anoral drill for sharpening

    one's mental computation.

    Before each session give

    these directions, "Number

    your paper from 1 to 10.

    Write your answer as the

    questions are called out.

    Each question will be

    repeated one time only."

    Answer Key

  • 8/10/2019 G8Weeks1-9

    25/27Grade 8 Page 25

    Geometry/Measurement

    9

    Problems of the Week

    Visual

    Multi-Step

    Data/Investigations

    Problem-SolvingStrategies

    What Do You Say?

    You have to wrap gift boxes for your

    club project. Each box is 4.5 inches

    wide, 7 inches long, and 4 inches tall.

    What size rectangle do you need to cutto cover the box?

    Gift wrap paper comes in sheets which

    are 30 inches wide and 36 inches long.

    How should you cut your rectangles to

    make the best use of the paper?

    If each circle has a diameter of 50 feet,

    find the distance around the racetrack?

    The data values below are the speeds (in

    kilometers per hour) of ten trucks traveling

    on Interstate 95.

    80, 65, 70, 60, 60, 70, 73, 70, 59, 46

    Interpret and construct a box plot. Analyze

    the data. Compute the mean. How does the

    mean compare with the median?

    Guess and Check

    Using the digits

    0, 1, 2, 3, 4, 5, to fill in the

    boxes. Make a

    subtraction problem with

    the smallest possible

    answer.

    Explain in words how you would solve:

    n 8 = 12

    Using Color Cubes

    1. Make a rectangle that is1

    4red,

    1

    4blue,

    1

    8yellow

    and the rest green.

    2. Make a rectangle that is1

    5yellow,

    1

    2blue

    and3

    10red.

    3. Make a rectangle that is1

    3blue,

    1

    4red,

    1

    6yellow and the rest green.

    How many cubes of each color are in the aboverectangles?

    Is there more than one possible solution?

  • 8/10/2019 G8Weeks1-9

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    MentalMath

    9

    Keeping Skills Sharp

    1. ( )3 4

    2. Simplify: 4(2x 4)

    3. If a $36 shirt is on sale for 25% off, what is the sale price?

    4.

    5. 8 + 15.32

    6. If 7 out of 10 students like pizza, how many students should

    like pizza in a class of 30?

    7. Solve forx: x2= 121

    8. -250 10 x 3 + 7

    9. 3.5 + 8

    10.3

    4

    3

    $%

    &'

    1. Compare perimeter and circumference.

    2. ____ 4 + 6 = 16

    3. Determine the measure of anglex.

    4. Simplify:

    (2 !103)(4 !108)

    5. 3

    10

    1

    2

    6. How much less is the square root of 64 than 62 4?

    7.5

    6

    1

    4

    8. 16 + (20 6) (6 + 2) + 31

    9. Find the mean, median, and mode for the following set of data:

    { 0.2, 0.4, 0.1, 0.6, 1.2, 1.1 }

    10. What is the sum of the first 5 square numbers?

    Write answers here:

    1. ___________

    2. ___________

    3. ___________

    4. ___________

    5. ___________

    6. ___________

    7. ___________

    8. ___________

    9. ___________

    10. __________

    *See answer key. This section should not be duplicated for the students.

    0

    16

    x

    60

    x

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    9Visual

    Multi-Step

    Data/Investigations

    Geometry/Measurement

    Problem-Solving Strategies

    What Do You Say?

    Mental Math

    1. 1

    2. 8x 16

    3. $27

    4. 0

    5. 7.32

    6. 21

    7. 11, 11

    8. 68

    9. 4.5

    10.27

    64

    Keeping Skills Sharp

    1. Distance around a polygon vs. the distance

    around a circle.

    2. 40

    3. 30

    4. 8 !1011

    5. 8

    10 =

    4

    5

    6. 136

    7.20

    6 = 3

    2

    6 = 3

    1

    3

    8. 30

    9. mean: 0.6, median: 0.5, mode: none

    10. 55

    There is more than one solution possible depending

    on the total number of cubes used to make each

    rectangle. A possible solution for each follows:

    1. 2 red, 2 blue, 1 yellow, 3 green2. 2 yellow, 5 blue, 3 red

    3. 4 blue, 3 red, 2 yellow, 3 green

    Answer: 200 + 50 !3.14 is about 357 feetabout120 yards.

    LE: 46

    UE: 80

    LQ: 60

    UQ: 70

    Median: 67.5

    Mean: 65.3 They are very close.

    Answer: 301

    254

    47

    The smallest sheet of paper that will work is 11.5 in.

    !17 in. If you cut the large sheet of paper into foursheets, each 18 !15, the least paper will be wasted.

    Add eight to both sides of the equation.

    n = 20

    40 50 60 70 80

    This section provides anoral drill for sharpening

    one's mental computation.

    Before each session give

    these directions, "Number

    your paper from 1 to 10.

    Write your answer as the

    questions are called out.

    Each question will be

    repeated one time only."

    Answer Key