6.1 The student will describe and compare data, using ratios, and will use appropriate notations, such as
, a to b, and a:b.
Circle all the pictures that have a ratio of 4:3 for the number of circles to the number of squares.
There are 80 red marbles and 50 green marbles in the bag. Circle all ratios that represent the number of green marbles to red marbles.
8:5 50 to 80 8 to 5
5
8
50:80 5 : 8
5
8
80 to 506.2 The student will
a) investigate and describe fractions, decimals, and percents as ratios; b) identify a given fraction, decimal, or percent from a representation;
c) demonstrate equivalent relationships among fractions, decimals, and percents; and d) compare and order fractions, decimals, and percents.
6.2a Which ratio is equivalent to 3.6?
A.
6
10
B.36
100
C.18
5
D. 36
100
6.2b What percent of the triangles is shaded? A. 4% C. 25%
B. 16% D. 40%
6.2c
Circle all of the numbers below that are equivalent to
1
40
.2.5% 0.025
80
2
6.2dSelect all of the numbers that lie between 0.003 and 0.05 and plot them on the number line.
6.3 The student will
a) identify and represent integers; b) order and compare integers; and
c) identify and describe absolute value of integers. 6.3a
Circle each number that is NOT an integer.
26
39
3
1
2
-17 0
24
8
6.3b
Circle each number that is between 11 and -3
5 -4 -1
12 -10 -2
6.3c
Circle each number that has an absolute value of 8.
0
1
8
81 -8
8
1
0.05
0.003
0.12
0.04
0.013
6.4 The student will demonstrate multiple representations of multiplication and division of fractions. Which product is demonstrated by the shaded model?
A. 3 25 x
2
25 B. 12 18 x
8
10 C. 3 5 x
4
5 D. 12 15 x
4 5
Each row represents 1 whole. How many three eighths are in six? ______
This figure represents 1 whole divided into three parts.
How many two-thirds are in 7? ______
6.5 The student will investigate and describe concepts of positive exponents and perfect squares.
Which of these is equivalent to 8 x 8 x 8?
A. 3 x 24 C. 38
B. 8 x 24 D. 83
Which is a perfect square between 49 and 121
A. 36 C. 99 B. 50 D. 100
6.6 The student will
a) multiply and divide fractions and mixed numbers; and
b) estimate solutions and then solve single-step and multistep practical problems involving addition, subtraction, multiplication, and division of fractions.
6.6.a
One batch of Dylan’s pancake recipe take
1
3
4
cup of milk. If Dylan makes three batches of his pancake recipe, how many cups of milk will he need?A.
5
1
B.
3
3
4
cups D.2
3
4
cups6.6b
April made 40 cookies for the upcoming bake sale. She made
3
5
of the cookies chocolate chip and1
4
ofthem peanut butter. How many chocolate chip and peanut butter cookies are there all together?
A. 18 C. 27
B. 24 D. 34
6.7 The student will solve single-step and multistep practical problems involving addition, subtraction, multiplication, and division of decimals.
The table shows the prices for video games at 4 different stores.
Store
Number
of Video
games
Price
Game City
3
$35.99
Game Time
2
$25.99
Game World
1
$15.99
Game Craze
4
$
40.99
Which store has the lowest price per video game?
A
Game City
The table represents the items Cailey purchased at a local department store.
Item
Number of
Items
Cost Per Item
Jacket
1
$35.99
Shoes
2
$21.99
Pants
2
$33.00
Shirts
3
$17.28
What is the total amount Cailey spent before tax?
_______
6.8 The student will evaluate whole number numerical expressions, using the order of operations.
49 ÷ 7 (7) = ____
10
+
30
÷
5
28
÷
7
⋅
2
−
1
=
?
A. 0 C. 2 B. 1 D. 4
When simplifying the following using order of operations, which operation should be performed first?
8 – 4 ÷ 2 + 3 5
6.9 The student will make ballpark comparisons between measurements in the U.S.
Customary System of measurement and measurements in the metric system.
The width of the window is 135 cm. Which measurement is closest to the width of the window?
A.
4
1
2
feet C. 135 inches B. 13 feet D. 30 inchesSteve has lost 6 kilograms of weight while dieting. About how many pounds is this? A. 36 pounds
B. 6 pounds C. 3 pounds D. 12 pounds
6.10 The student will
a) define π (pi) as the ratio of the circumference of a circle to its diameter;
b) solve practical problems involving circumference and area of a circle, given the diameter or radius;
c) solve practical problems involving area and perimeter; and
d) describe and determine the volume and surface area of a rectangular prism. 6.10a The diameter of a circular pond is 20.4 meters. The circumference is approximately 64 meters.
Which of these could be used to estimate the value of π?
A.
d
c
=
π
C.c
d
=
π
B.
π
c
=
d
D.d
π
=
c
6.10b Cindy purchased a circular pool cover with a diameter of 12 feet. Rounded to the nearest whole
number, which pool area would the cover best fit over?
A. 19 ft2 C. 113 ft2
6.10c Sam is building a rectangular fence around his garden. The perimeter of the fence is 36 feet.
Circle the measurements that could be the two dimensions of the fence.
5 feet 8 feet 13 feet
6 feet 11 feet 18 feet
6.10d The measurements of a rectangular prism are shown below.
What is the total surface area of the prism?
A. 15 ¿2 C. 112 ¿2
B. 72 ¿2 D. 144 ¿2
6.11 The student will
a) identify the coordinates of a point in a coordinate plane; and b) graph ordered pairs in a coordinate plane.
6.11a Which of the following is the location of the point (-5, 0).
A. In Quadrant III B. In Quadrant IV C. On the x-axis D. On the y-axis
6.11b If point n is in quadrant IV and point p is on the y-axis use the given numbers to create ordered
pairs for points n and p.
n = (_____ , _____) p = (_____ , _____)
-2 0 2
-3 3 6
4 in.
6.12 The student will determine congruence of segments, angles, and polygons.
Figures CMJXT and PDNER are congruent
Which line segment in figure PDNER must be congruent to
JX
?A.
NE
C.PR
B.
CT
D.DP
Circle all the shapes that are congruent to figure A.
6.13 The student will describe and identify properties of quadrilaterals.
Circle all of the attributes below that are true of a rhombus?
All angles are 90 o Opposite sides are parallel All angles are 45
8 cm 4 cm
8 cm
4 cm
8 cm
8 cm
All sides are congruent Opposite angles are congruent Diagonals are bisected
Circle each quadrilateral for which the following statement is always true: Opposite angles and opposite sides are congruent.
Kite Square Rhombus
Rectangle Parallelogram Trapezoid
6.14 The student, given a problem situation, will a) construct circle graphs;
b) draw conclusions and make predictions, using circle graphs; and
c) compare and contrast graphs that present information from the same data set
6.14a
George surveyed 250 people at the baseball game to find out what ball park snack they like best. The results are shown in the table below.
Favorite Ball Park Snack
Snack Percentage
of People
Nachos 35%
Cotton Candy 12%
Hot Dog 40%
Popcorn 13%
A.
C.
B.
D.
6.14b
Ron 7%
Betsy 20%
Joseph 9%
Nigel 25% Lisa
27%
Harvey 12%
Middle School Voting
The circle graph above represents the results of the 8th grade student body president elections. If 500
_________
6.14c The students at Grace Academy voted for a new school mascot. John made this circle graph to show the results of the election.
Mandy made a bar graph to show the same data. Which of the bar graphs could be Mandy’s bar graph?
A.
C.
6.15 The student will
a) describe mean as balance point; and
b) decide which measure of center is appropriate for a given purpose.
6.15a
Look at the data on the following line plots. Which set of data has 9 as its balance point?
A.
B.
C.
D.
6.15b
Mr. Ross’s class took a biology test last week. The scores received were 84, 97, 85, 89, 90, 82,
25, 87, 95, 93, and 88. Which would be the best measure of center for these scores?
D. mean
6.16 The student will
a) compare and contrast dependent and independent events; and b) determine probabilities for dependent and independent events.
6.16a Which of the following situations describes two independent events?
A. drawing one card from a deck, then drawing a second without replacement B. pulling three pieces of candy from a bag, one at a time
C. choosing seven numbers from 0-9, which cannot be repeated D. tossing a coin and rolling a die
6.16b A sack contains 3 blue marbles, 2 white marbles, and 4 yellow marbles. A marble is chosen and
then put back in the sack, and then another marble is chosen. What is the probability that both marbles chosen are blue? Write your answer as a fraction in simplest terms.
_______
6.17 The student will identify and extend geometric and arithmetic sequences.
The first four terms of a sequence are shown: 120, 60, 30, 15 This sequence is a –
A. A geometric sequence with a common ratio of 2. B. An arithmetic sequence with a common ratio of ½. C. A geometric sequence with a common ratio of ½. D. An arithmetic sequence with a common ratio of 2
Put the letter of each sequence next to the correct heading.
Geometric _________ Arithmetic ____________ Neither _____________
A. 2, 4, 6, 8
B. 1024, 256, 64, 16 C. 4, 12, 36, 108 D. 1, 4, 9, 16
6.18 The student will solve one-step linear equations in one variable involving whole number coefficients and positive rational solutions.
What is the value of n when
4
=
n
4
________
Which of the following could be used to solve the equation? 6y = 36
A. Multiply both sides of the equation by 6 B. Add 6 to both sides of the equation C. Divide both sides of the equation by 6 D. Divide both sides of the equation by 36
6.19 The student will investigate and recognize
a) the identity properties for addition and multiplication; b) the multiplicative property of zero; and
c) the inverse property for multiplication.
6.19abc Write the letter of the equation beside the property it represents.
A.
0
⋅(
2
+
7
)=
0
B.
3
+(
2
5
⋅
5
2
)=
4
C.
(
1
8
⋅
1
)+
2
=
1
8
+
2
D. 6 + 0 = 6
Identity Property of Addition ______
Identity Property of Multiplication ______
Multiplicative Property of Zero ______
6.20 The student will graph inequalities on a number line.
Choose the correct inequality displayed on the number line below.
A. 4 ≥ n B. 4 ≤ n C. n > 4 D. 4 > n
Which number below displays -1 > x?
A.
B.
C.