paws mathematics 3468321 grade 11 a paws skill 1 ... sample... · paws skill 1 understand patterns,...

PAWS Mathematics

3468321 Grade 11 Content Standard A Algebra PAWS Skill 1 Understand patterns, relations, and functions.

Context a Problem solving situations with expressions, equations, and inequalities and the use of symbolic reasoning.

Item Type MC Multiple Choice The equation below can be used to determine v, the speed of a communications satellite that orbits Earth.

2 rv

tπ=

In the formula, • r represents the distance in kilometers between the center of Earth

and the satellite. • t represents the time in hours for one complete orbit. The satellite completes its orbit around Earth every 24 hours at a speed of 10,990 kilometers per hour. Which of these is closest to the distance between the satellite and the center of Earth? (Use 3.14π ≈ ) A. 1,438 km B. 2,876 km C. 42,000 km D. 263,760 km

PAWS Mathematics

3468341 Grade 11 Content Standard A Algebra PAWS Skill 1 Understand patterns, relations, and functions.

Context a Problem solving situations with expressions, equations, and inequalities and the use of symbolic reasoning.

Item Type MC Multiple Choice Ursula plans to use the formula below to determine d, the density of a metal cube.

3

md

s=

In the formula, m represents the mass in grams of the cube, and s represents the length in centimeters of the edge of the cube. The mass of the cube is 71.2 grams and each edge has a length of 2.0 centimeters. Which of these is closest to the density of the cube? A. 8.9 g/cm3

B. 11.9 g/cm3

C. 14.2 g/cm3

D. 35.5 g/cm3

PAWS Mathematics

3467714 Grade 11 Content Standard A Algebra

PAWS Skill 2 Use mathematical models to represent and understand quantitative relationships.

Context a Problem solving situations will consist of graphing, solving or interpreting linear equations.

Item Type MC Multiple Choice A plumber uses the line shown in the graph below to determine c, the cost of labor for a repair job that takes h hours to complete.

Which equation best represents the line in the graph? A. 40 80h c= +

B. 40 80c h= +

C. 80 40h c= +

D. 80 40c h= +

PAWS Mathematics

3468308 Grade 11 Content Standard A Algebra

PAWS Skill 2 Use mathematical models to represent and understand quantitative relationships.

Context c Modeling with real-world problems will allow for inductive reasoning to make conjectures and deductive reasoning to justify conclusions.

Item Type MC Multiple Choice Nina pays a flat monthly fee plus a fee per minute for making long distance calls. The graph below shows c, her total monthly cost, when she makes m minutes of long distance calls.

Based on this graph, which of the following statements is true? A. Nina pays $3 per minute for long distance calls

using this plan.

B. The monthly fee Nina pays for this long distance plan is $0.12.

C. Nina would pay a total of $12 for 100 minutes of long distance calls.

D. The least amount Nina would pay on any month using this long distance plan is $3.

PAWS Mathematics

3468334 Grade 11 Content Standard D Data Analysis and Probability

PAWS Skill 1 Collect, organize, and display relevant data to answer questions and use appropriate statistical methods to analyze the data.

Context b Analyzing correlation or line of best fit to determine the likelihood an event will occur.

Item Type SR Short Response A sports magazine published this graph to show the relationship between the weights and heights of 8 basketball players.

Draw a line of best fit on the graph. Based on the information in the graph, what is the likelihood that a basketball player with a weight of 185 pounds will have a height of 89 inches? Write your answer in the space below. Show or explain how you got your answer.

PAWS Mathematics


PAWS Skill 1 Collect, organize, and display relevant data to answer questions and use appropriate statistical methods to analyze the data.

Context a Problem solving situations utilizing mean, median, mode, and range.

Item Type MC Multiple Choice The table below shows the average precipitation during four months in Cheyenne.

Cheyenne’s Average Precipitation

During Four Months

Month Precipitation

(inches)

November 0.64

December 0.46

January 0.45

February 0.44 If the average precipitation for March is 1.05 inches, which of these measures will change the greatest? A. Mean B. Median C. Mode D. Range

PAWS Mathematics


PAWS Skill 2 Develop and evaluate inferences and predictions that are based on data.

Context b Communicating the likelihood of events using probabilistic reasoning in real-world situations.

Item Type MC Multiple Choice The following shows the numbers of 3 kinds of sodas in an ice chest. • 16 cola • 12 root beer • 8 cherry Jackie wants 2 cherry sodas from the ice chest. If the first soda she takes from the chest is a cherry, which of these is closest to the probability that the second soda will also be a cherry? A. 20%

B. 22%

C. 25%

D. 28%

PAWS Mathematics


PAWS Skill 2 Develop and evaluate inferences and predictions that are based on data.

Context a Problem solving situations of simple probability. Item Type MC Multiple Choice

Joseph bought a bag of balloons for his sister’s party. The bag of balloons contains the following color assortment. • 20 red • 10 blue • 15 pink • 15 yellow Joseph is going to reach into the bag and take out 2 balloons at random. Which of these represents the probability that Joseph will first take out a red balloon and then take out a blue balloon?

A. 20 1040 49

×

B. 20 1040 50

×

C. 20 1060 59

×

D. 20 1060 60

×

PAWS Mathematics

3468108 Grade 11 Content Standard G Geometry

PAWS Skill 1 Specify locations and describe spatial relationships using coordinate geometry and other representational systems

Context b The coordinate plane (finding midpoints, distance, and slope) to include spatial reasoning and models.

Item Type MC Multiple Choice Which of the following equations represents a line that is steeper than the line in the graph shown below?

A. 1

24

y x= − +

B. 1

43

y x= − +

C. 1

42

y x= − +

D. 1y x= − +

PAWS Mathematics 3468205 Grade 11 Content Standard G Geometry

PAWS Skill 1 Specify locations and describe spatial relationships using coordinate geometry and other representational systems

Context a Problem solving situations will include the concepts of perpendicularity, parallelism, and the Pythagorean Theorem.

Item Type MC Multiple Choice Diane’s television screen measures 42 inches diagonally. The width

of the screen is 169

times the height of the screen. Which of the

following is closest to the height of Diane’s television screen?

A. 20.6 in.

B. 23.6 in.

C. 36.6 in.

D. 74.6 in.

PAWS Mathematics


PAWS Skill 3 Apply transformations and use symmetry to analyze mathematical situations

Context a

Problem solving situations will consist of communication with mathematical language to interpret, analyze, and/or illustrate transformations, congruency and similarity of 2 dimensional geometric objects.

Item Type MC Multiple Choice In the diagram below, ' ' 'A B C is the image of ABC .

Which of these transformations applied to ABC results in

' ' 'A B C ? A. ABC was rotated 90° clockwise about the origin.

B. ABC was reflected over the y-axis.

C. ABC was translated 4 units horizontally.

D. ABC was reflected over the line y x= .

PAWS Mathematics


PAWS Skill 3 Apply transformations and use symmetry to analyze mathematical situations

Context a

Problem solving situations will consist of communication with mathematical language to interpret, analyze, and/or illustrate transformations, congruency and similarity of 2 dimensional geometric objects.

Item Type SR Short Response Shawna’s teacher drew rectangle ABCD as shown below.

Shawna was asked to draw another rectangle similar to rectangle ABCD, but with an area twice as large. In the space below, explain why the dimensions of Shawna’s rectangle will not be 16 by 10?

PAWS Mathematics 3468329 Grade 11 Content Standard M Measurement

PAWS Skill 1 Understand measurable attributes of objects and the units, systems, and processes of measurement

Context a Problem solving situations will include scale, ratios, and proportions; and converting measures within metric and customary systems of measurement

Item Type MC Multiple Choice The U.S. Postal Service shipping policy states that the length plus the girth of a rectangular package cannot exceed 130 inches. The girth of the package equals twice its width plus twice its height.

What is the maximum length of a package that can be shipped if the package has a width of 2 feet and a height of 1 foot? A. 3 feet

B. 4 feet 10 inches

C. 6 feet

D. 10 feet 7 inches

PAWS Mathematics

3468332 Grade 11 Content Standard M Measurement

PAWS Skill 1 Understand measurable attributes of objects and the units, systems, and processes of measurement

Context c

determining angle measure (such as properties of complementary and/or supplementary angles). Models and real-world problems will allow for use of proportional reasoning to increase student's understanding of the topic.

Item Type SR Short Response Angles AOB and BOC are complementary angles with measures 2x degrees and x degrees as shown below.

What is the degree measure of the angle that is supplementary to angle AOB? Write your answer in the space below. Show or explain how you got your answer. Degree Measure : _________

PAWS Mathematics


PAWS Skill 2 Apply appropriate techniques, tools, and formulas to determine perimeter, area or volume.

Context b Volumes of cones, cylinders, and square pyramids. Item Type MC Multiple Choice A right circular cone is 10 centimeters in height. If the volume of the cone is 94.2 cubic centimeters, which of these is closest to d, the diameter of the cone?

Formula for the volume of a cone: π 213

V r h= (Use 3.14π≈ )

A. 3 cm B. 6 cm C. 9 cm D. 18 cm

PAWS Mathematics


PAWS Skill 2 Apply appropriate techniques, tools, and formulas to determine perimeter, area or volume.

Context a Problem solving situations will require calculating surface areas of cones, cylinders, and square pyramids

Item Type MC Multiple Choice A water heater, cylindrical in shape, is to be wrapped with insulation material around its lateral surface. • The height of the heater is 64 inches. • The radius of the heater is 13 inches. Which of these is closest to the least amount of insulation material needed to cover the lateral surface of the water heater? (Use 3.14π ≈ ) A. 2,612 square inches

B. 5,225 square inches

C. 10,450 square inches

D. 33,962 square inches

PAWS Mathematics

3468344 Grade 11 Content Standard N Number Operations and Concepts

PAWS Skill 1 Understand the meaning of arithmetic operations and make reasonable estimates

Context a

Problem solving situations with estimation and real-world problems involving real numbers and using reasoning to justify results; and prediction of the effect of operations on real numbers.

Item Type MC Multiple Choice The following information is displayed on the label of a bag of potato chips. • This bag contains 8 servings. • Each serving consists of about 12 to 15 potato chips. If the bag costs $2.99, which of these is closest to the cost of 1 potato chip? A. $0.01

B. $0.03

C. $0.20

D. $0.30

PAWS Mathematics


PAWS Skill 1 Understand the meaning of arithmetic operations and make reasonable estimates

Context a

Problem solving situations with estimation and real-world problems involving real numbers and using reasoning to justify results; and prediction of the effect of operations on real numbers.

Item Type SR Short Response Tammy joined an online music club for an initial fee of $40. The fee allows her to download 20 songs at no additional charge. It costs her $1.50 to download each song after the first 20 songs. Tammy downloaded 100 songs during her first month as a club member. What amount should Tammy have paid to the club for the first month? Write your answer in the space below. Show or explain how you got your answer. Total Amount Paid for First Month : _________

PAWS Mathematics


PAWS Skill 2 Understand ways to represent numbers, relationships among numbers, and number systems

Context a Problem solving situations with real numbers and using proportional reasoning to solve real-world problems involving real numbers with justification of results.

Item Type MC Multiple Choice A motel owner uses a gas heater continuously every day to heat the water in the swimming pool. • The cost of natural gas is $0.73 per 100 cubic feet. • The heater consumes 7,200 cubic feet of gas each day. At that rate, which of these is closest to the cost of the gas to heat the pool for one year? A. $2,702 B. $5,256 C. $19,184 D. $26,645

PAWS Mathematics


PAWS Skill 2 Understand ways to represent numbers, relationships among numbers, and number systems

Context a Problem solving situations with real numbers and using proportional reasoning to solve real-world problems involving real numbers with justification of results.

Item Type MC Multiple Choice The number line below shows points P and Q.

Which of the following appears to be true? A. 3Q P+ =

B. 3P Q− =

C. 3Q P+ =

D. 3Q P− =

PAWS Mathematics


PAWS Skill 3 Develop the connection between conceptual understanding and computational proficiency

Context a Problem solving situations requiring computational fluency with rational numbers.

Item Type MC Multiple Choice Linda’s patio is rectangular in shape, and is 120 inches in length by 132 inches in width. She plans to have a tile border installed inside the perimeter of the patio. The border will be a double row of tiles as shown below, with square tiles that are 6 inches by 6 inches.

The tiles for the border will cost $1.25 per tile, including installation. Which of these is closest to the total cost of the tiles for the border? A. $48 B. $152 C. $190 D. $210

Linda’s Patio

PAWS Mathematics 3468360 Grade 11 Content Standard N Number Operations and Concepts

PAWS Skill 3 Develop the connection between conceptual understanding and computational proficiency

Context b And using whole number powers. Item Type MC Multiple Choice Which of the following is equivalent to the expression below?

( )( )4 33 9a a

A. 712a

B. 1212a

C. 727a

D. 1227a

paws mathematics 3468321 grade 11 a paws skill 1 ... sample... · paws skill 1 understand patterns,...

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