3. What would you decide is a reasonable lower limit for the number of skittles in the container?
|
|
|
- Egbert Moody
- 6 years ago
- Views:
Transcription
1 Sec 1.1 -Analyzing Numerical Data Fermi Problems: Estimating Large Numbers Enrico Fermi ( ) was an Italian physicist that worked in the United States. He was known for his contributions in creating the first nuclear reactor and his work on the Manhattan Project (creating the atomic bomb). He received the Nobel Prize for his work in Physics in Fermi was also well known for this ability to make good estimates of large quantities with little actual data and using only a few logical assumptions. When determining these approximations, he would usually first try to determine reasonable lower bound and upper bound limits of the estimate. Then, he would make logical assumptions and work towards finding a reasonable estimate (usually by some power of 10) within the earlier defined limits. A question he would commonly pose while lecturing at the University of Chicago was, How many piano tuners are there in the city of Chicago? Today, making such estimates of large quantities are commonly referred to as Fermi Problems. Let s try a few. How many Skittles? How many skittles candies can fit in a mason jar that has the inner dimensions that are approximately a cylinder with a height of 9 cm and a base radius of? (Reminder: Cylinder s Volume = π r h). 1. What would you decide is a reasonable lower limit for the number of skittles in the jar? (i.e. a number of skittles that you are certain there are at least that many in the jar) Name: 2. What would your group decide is a reasonable upper limit for the number of skittles in the jar? (i.e. a number of skittles that must be more than the maximum amount of skittles in the jar) 3. What would you decide is a reasonable lower limit for the number of skittles in the container? 4. What would your group decide is a reasonable upper limit for the number of skittles in the container? Assume that the container is roughly a rectangular prism such that Rectangular Prism Volume = l w h 5. What would you decide is a reasonable lower limit for the number of blocks in the container? 6. What would your group decide is a reasonable upper limit for the number of blocks in the container? p.1
2 For a little more precision in our estimates we can run some trials and use empirical ratios 7. Consider the investigational data found by filling the following containers with skittles. (solid #1) held 192 skittles. A few students conducted a study of some solids and found the following container (solid #2) held 258 skittles. 5cm 12 cm Fill out the following table: Solid #1 Solid #2 Number of Skittles : Volume: Ratio Skittles : cm 3 Using the empirical ratios above determine more precisely, how many skittles candies can fit in a mason jar that has the inner dimensions that are approximately a cylinder with a height of 9 cm and a base radius of? (Reminder: Cylinder s Volume = π r h). 8. Consider the investigational data found by filling the following containers with skittles. (solid #1) held 32 skittles. (solid #2) held 43 skittles. 5cm 12 cm Using the empirical data approximate how many jellybeans the candy jar at the right will hold if it is approximately a rectangular prism with the inner dimensions 12 cm by 1 by 28 cm. 28 cm p.2
3 A student was conducting a study to determine how many pages he would need for the book he is writing. So, he found that the following number of words fit on each type of the following papers using an 11 point font: 9. Using the collected data above what would be a reasonable rough estimate of the number of words per square inch of writing paper using an 11 point font? Paper Size Average Number of Words 8.5 inches by 11 inches inches by 6.5 inches inches by 18 inches Roughly, how many pages would his book be if his novel was approximately 65,000 words and he used paper the paper size of 5 inches by 7 inches with an 11 point font (i.e. how many page numbers would the book require just for the novel)? A student was conducting a study to determine how many loose Navel oranges that could be packed in different box sizes at the local farmer s market. The average navel orange had a diameter of 3.2 inches. Box Dimensions Number of Oranges in the Box 20 inch x 13 inch x 12 inch 96 oranges 12 inch x 12 inch x 12 inch 53 oranges 20 inch x 10 inch x 6 inch 37 oranges 11. Using the collected data above what would be a reasonable rough estimate of a ratio of how many cubic inches per orange? 12. Given the Farmer s Market wanted to use a box that had the dimensions, 16 in. 9 in. 9 in., approximately how many oranges should fit in the box based on the information provided by the table? 13. On a highway a wreck occurred and caused an 10 mile traffic jam on one side of the road. The average car is 13.5 feet in length, the average truck is 20 feet in length, and the average 18 wheeler tractor trailer is 75 feet in length. 70% of the traffic jam consists of cars, 20% trucks, and 10% 18 wheeler tractor trailers. If the average distance between vehicles is 3 feet, how many vehicles are stuck in the traffic jam? p.3
4 14. A person just purchased the vending machine shown. Each compartment has the dimensions of 5 inches by 7 inches by 17 inches. Assuming the vending machine uses Gumballs that are approximately spherical and 1 inch in diameter, how many gumballs should fit in one of the compartments? (Hint: Packing spheres in a rectangular prism usually take up 190% of the volume of the spheres.) SHOW YOUR WORK 15. A person is using a new tennis ball launching machine that is 15 inches by 15 inches by 14. Assuming the machine uses tennis balls that are spherical and 2.7 inches in diameter, how many tennis balls should fit in one of the top of the machine? (Hint: Packing spheres in a rectangular prism usually take up 190% of the volume of the spheres using random packing.) SHOW YOUR WORK p.4
5 Estimating the number of people in a large crowd (for example watching a parade or attending/marching in a political rally) is quite challenging and often leads to controversies. One method sometimes used is to focus on a small section of the crowd, such as a rectangular area. 16. Mark off a 5 foot by 5 foot square, and see how many people can comfortably stand inside the square as if they are at an outdoor concert. a. How many people fit? b. Divide the area of the square by the number of people that fit inside the square and explain what this ratio means. c. Use the ratio to estimate the size of a crowd that is 10 feet deep on both sides of a street for a mile and is filled with people. 17. A football field is 360 feet long and 160 feet wide. The principal is making an evacuation plan for the school. How many students can the principal expect to fit on the football field in an emergency? (Remember the expected floor space a standing person occupies is about 2.5 sq feet) p.5
Name Period No. Geometry Unit Review with Application Problems
Name Period No. Geometry Unit Review with Application Problems For problems 1-3, find the area of each figure. Show all steps. 1) 2) 4) Draw a parallelogram with an area of 50 sq. units in the 3) coordinate
Ms. Karahoca Date Grade 6. Estimation Versus Calculation: How Do You Win These Things?! Winning free stuff makes everybody smile
Estimation Versus Calculation: How Do You Win These Things?! Winning free stuff makes everybody smile Predicament: Have you ever entered a contest to guess the exact number of candies in a jar? Did you
Chapter 9 Practice Test 1 due 4/13 Wed Measurement and Geometry
Name Date Class Chapter 9 Practice Test 1 due 4/13 Wed Measurement and Geometry Choose the best answer. 1. Bob is drawing the outside lines on a sports field that is 72 feet by 90 feet. What is the total
Problem Set #4 Due 5/3 or 5/4 Pd
Geometry Name Problem Set #4 Due 5/3 or 5/4 Pd Directions: To receive full credit, show all required work. Questions may have multiple correct answers. Clearly indicate the answers chosen. For multiple
Whirlygigs for Sale! Rotating Two-Dimensional Figures through Space. LESSON 4.1 Skills Practice. Vocabulary. Problem Set
LESSON.1 Skills Practice Name Date Whirlygigs for Sale! Rotating Two-Dimensional Figures through Space Vocabulary Describe the term in your own words. 1. disc Problem Set Write the name of the solid figure
1) Find the exact volume 2) Find the exact volume. Find the sum of all the volumes (ignore that some have different units)
A 1) Find the exact volume 2) Find the exact volume Find the sum of all the 3) Find the exact volume volumes (ignore that some have different units) 4) Find the exact volume B 1) Find the exact volume
Volume and Surface Area (H) Intervention Booklet
Volume and Surface Area (H) Intervention Booklet Prisms (Including Cylinders) Things to remember: Volume of a prism = area of cross section x vertical height Area of triangle = b x h Area of circle = π
Whirlygigs for Sale! Rotating Two-Dimensional Figures through Space. LESSON 4.1 Assignment
LESSON.1 Assignment Name Date Whirlygigs for Sale! Rotating Two-Dimensional Figures through Space The ChocoWorld Candy Company is going to enter a candy competition in which they will make a structure
G-MG.A: Geometric Measurement and Dimension Explain volume formulas and use them to solve problems
Name: Date: G-MG.A: Geometric Measurement and Dimension Explain volume formulas and use them to solve problems 1. A shipping container is in the shape of a right rectangular prism with a length of 12 feet,
Unit 3 Linear measurement
Unit 3 Linear measurement Instructions: Using a pencil, complete the following questions as you work through the related lessons. Show ALL work as it is explained in the lessons. Do your best and ask your
HW 4 6 Optimization Math 400! Name
HW 4 6 Optimization Math 400! Name 1. Find two positive numbers whose sum is 9 if the product of one number and the square of the other number is the maimum possible product of the 2 numbers. 2. A farmer
MATH-7 Surface Area and Volume Review Exam not valid for Paper Pencil Test Sessions
MATH-7 Surface Area and Volume Review Exam not valid for Paper Pencil Test Sessions [Exam ID:29TWB2 1 Which situation would require finding the surface area? A Robert needs to know how many stones are
MEASURING IN THE PLANE AND SPACE G.MG.A.3: AREA AND SURFACE AREA
MEASURING IN THE PLANE AND SPACE G.MG.A.3: AREA AND SURFACE AREA 95 A farmer has 64 feet of fence to enclose a rectangular vegetable garden. Which dimensions would result in the biggest area for this garden?
Geometry Review 4/28/16
Geometry Review 4/28/16 Name: Date: SHOW ALL YOUR WORK!!! Finish for homework! 1. A photograph 3 inches wide and 5 inches long is to be enlarged so that the length is 15 inches. The new width will be 3.
1. A maintenance technician sights the top of a telephone pole at a 25 angle of elevation as shown.
Name 1. A maintenance technician sights the top of a telephone pole at a 25 angle of elevation as shown. Determine the horizontal distance between the technician and the base of the telephone pole to the
Mathematics. Which inequality should Julie use to determine the maximum number of hours, h, she can practice without spending more than $300?
GM0000AXDXM0227D 12. Julie does not want to spend more than $300 on ice skating. Her skates will cost $42, her lessons will cost a total of $56, and the practice time will cost $7.50 per hour. Which inequality
INTERMEDIATE LEVEL MEASUREMENT
INTERMEDIATE LEVEL MEASUREMENT TABLE OF CONTENTS Format & Background Information...3-6 Learning Experience 1- Getting Started...6-7 Learning Experience 2 - Cube and Rectangular Prisms...8 Learning Experience
Name Class Date. 1. On a map, 1 inch equals 5 miles. Two cities are 8 inches apart on the map. What is the actual distance between the cities?
Name Class Date Practice 2-5 Maps and Scale Drawings 2-5 Maps and Scale Drawings 1 On a map, 1 inch equals 5 miles Two cities are 8 inches apart on the map What is the actual distance between the cities?
Whirlygigs for Sale! Rotating Two-Dimensional Figures through Space. Lesson 4.1 Assignment
Lesson.1 Assignment Name Date Whirlygigs for Sale! Rotating Two-Dimensional Figures through Space The ChocoWorld Candy Company is going to enter a candy competition in which they will make a structure
Name Class Date. 1. On a map, 1 inch equals 5 miles. Two cities are 8 inches apart on the map. What is the actual distance between the cities?
Name Class Date Practice 8-5 Maps and Scale Drawings 2-5 Maps and Scale Drawings 1 On a map, 1 inch equals 5 miles Two cities are 8 inches apart on the map What is the actual distance between the cities?
Name: Class: Assessment pack Semester 2 Grade 7
Name: Class: Assessment pack Semester 2 Grade 7 Math Materials covered for Grade 7 Semester 2 exam Module 6 (Expressions and Equations) 6.1 algebraic expressions 6.2 one step equation with rational coefficient
Math Ready Unit 3. Measurement and Proportional Reasoning Student Manual
SREB Readiness Courses Transitioning to college and careers Math Ready Unit 3. Measurement and Proportional Reasoning Student Manual Version 2 Name 1 Math Ready. Unit 3. Student Manual Unit 3. Measurement
FSA 7 th Grade Math. MAFS.7.G.1.1 Level 2. MAFS.7.G.1.1 Level 3. MAFS.7.G.1.1 Level 3. MAFS.7.G.1.2 Level 2. MAFS.7.G.1.1 Level 4
FSA 7 th Grade Math Geometry This drawing shows a lawn in the shape of a trapezoid. The height of the trapezoidal lawn on the drawing is 1! inches. " What is the actual length, in feet, of the longest
G.MG.A.2: Density. Regents Exam Questions G.MG.A.2: Density
Regents Exam Questions G.MG.A.: Density G.MG.A.: Density 1 A shipping container is in the shape of a right rectangular prism with a length of 1 feet, a width of 8.5 feet, and a height of 4 feet. The container
Review. 3. Casey tossed a coin 25 times and recorded the results. What percent of the coin tosses came out heads?
Name: Period: Review 1. Rectangle ABCD is 3 inches wide and 6 inches high. The rectangle is reduced to rectangle EFGH, which is 1 inch wide and 2 inches high. What is the scale factor for the reduction?
Borck Test 3 (tborck3) 2. Ms. Crow glued 4 white cubes together as shown below. Then she painted the entire figure red.
Name: Date: 1. In the figure below, the two triangular faces of the prism are right triangles with sides of length 3, 4, and 5. The other three faces are rectangles. What is the surface area of the prism?
Math Ready Unit 3. Measurement and Proportional Reasoning Student Manual
SREB Readiness Courses Transitioning to college and careers Math Ready Unit 3. Measurement and Proportional Reasoning Name 1 Math Ready. Unit 3. Unit 3. Measurement and Proportional Reasoning Table of
MCAS Review - Measurement Session 4B
Name: lass: ate: I: MS Review - Measurement Session 4 Multiple hoice Identify the choice that best completes the statement or answers the question. 1 trapezoid and some of its dimensions are shown below.
Page 1 part 1 PART 2
Page 1 part 1 PART 2 Page 2 Part 1 Part 2 Page 3 part 1 Part 2 Page 4 Page 5 Part 1 10. Which point on the curve y x 2 1 is closest to the point 4,1 11. The point P lies in the first quadrant on the graph
Name Date Period STUDY GUIDE Summative Assessment #5 6 th Grade Math Covering and Surrounding
Name Date Period STUDY GUIDE Summative Assessment #5 6 th Grade Math Covering and Surrounding 1) Mr. and Mrs. Hunter tiled their rectangular porch using 1ft. by 1ft. square tiles. The rectangular porch
Unit C Homework Helper Answer Key
Lesson 3-1 Measuring Angles 1. 30 2. 140 3. acute 4. IV 5. x 35 6. x 5 7. 20 ; acute; NAK 8. x 15; answers will vary. 9. x 50 10. a. x 15 11. x 23 12. 3 13. a. 65 b. Read the inner scale of the protractor.
MATH FCAT PRACTICE (Grade 10, Lesson 6, Part A)
MATH FCAT PRACTICE (Grade 10, Lesson 6, Part A) 1. Semicircles are constructed on the sides of an equilateral triangle, as shown in the figure above. Of the following, which best approximates the sum of
VAISHALI EDUCATION POINT (QUALITY EDUCATION PROVIDER)
VAISHALI EDUCATION POINT (QUALITY EDUCATION PROVIDER) BY Prof. RAHUL MISHRA SURFACE AREA & VOLUMES Class :- X QNo. General Instructions Questions M:9999907099,9818932244 Subject :- Maths 1 A rectanguler
A. 2/3 B. -2/3 C. 3/2 D. -3/2
Name Date Period 7 th Grade Pre AP Semester Test Review 1. The graph shows the cost to wash a car at Euclid s Car Wash. What is the slope of the line? 3. Point B lies on line AC, as shown on the coordinate
Grade 7 Mathematics Item Specifications Florida Standards Assessments
Assessment Limit MAFS7.G.1 Draw, construct, and describe geometrical figures and describe the relationships between them. MAFS.7.G.1.1 Solve problems involving scale drawings of geometric figures, including
h r c On the ACT, remember that diagrams are usually drawn to scale, so you can always eyeball to determine measurements if you get stuck.
ACT Plane Geometry Review Let s first take a look at the common formulas you need for the ACT. Then we ll review the rules for the tested shapes. There are also some practice problems at the end of this
Task: Pyramid. a. Below is a net for a three dimensional shape:
Task: Cone You have been hired by the owner of a local ice cream parlor to assist in his company s new venture. The company will soon sell its ice cream cones in the freezer section of local grocery stores.
Volume and Surface Area (F) Intervention Booklet
Volume and Surface Area (F) Intervention Booklet Cubes and Cuboids Things to remember: The volume of a cube or cuboid = base x depth x height. To calculate the surface area, work out the area of the surface!
Benchmark Test : Grade 6 Math. Class/Grade. Benchmark: MA.6.G.4.3. Benchmark: MA.6.G.4.2
Name lassrade ate enchmark: M... enchmark: M... Look at the figure below. The lengths of four of the five sides of the figure are shown. What is the area of this triangle? cm cm cm cm f the perimeter of
Period: Date Lesson 2: Common 3-Dimensional Shapes and Their Cross- Sections
: Common 3-Dimensional Shapes and Their Cross- Sections Learning Target: I can understand the definitions of a general prism and a cylinder and the distinction between a cross-section and a slice. Warm
For Preview Only GEO5 STUDENT PAGES. GEOMETRY AND MEASUREMENT Student Pages for Packet 5: Measurement. Name Period Date
Name Period Date GEO5 STUDENT PAGES GEOMETRY AND MEASUREMENT Student Pages for Packet 5: GEO5.1 Conversions Compare measurements within and between measurement systems. Convert measurements within and
From the menu you will choose: Drink (and possibly refills) Appetizer(s) Main course items: o Meat o Carb o Veggie o Bread Dessert
From the menu you will choose: Drink (and possibly refills) Appetizer(s) Main course items: o Meat o Carb o Veggie o Bread Dessert Each item is assigned a certain dollar amount. Your goal is to reach as
MATH MEASUREMENT AND GEOMETRY
Students: 1. Students choose appropriate units of measure and use ratios to convert within and between measurement systems to solve problems. 1. Compare weights, capacities, geometric measures, time, and
Geometry. Practice Pack
Geometry Practice Pack WALCH PUBLISHING Table of Contents Unit 1: Lines and Angles Practice 1.1 What Is Geometry?........................ 1 Practice 1.2 What Is Geometry?........................ 2 Practice
To use the Math round questions in Powerpoint format, you must have access to MathType:
To use the Math round questions in Powerpoint format, you must have access to MathType: MathType is used to create the math questions. You can download a free 30-day trial copy of the MathType program
Trade of Metal Fabrication. Module 5: Pipe Fabrication Unit 6: Pipe Development Unequal Diameter 'T' Piece Phase 2
Trade of Metal Fabrication Module 5: Pipe Fabrication Unit 6: Pipe Development Unequal Diameter 'T' Piece Phase 2 Table of Contents List of Figures... 4 List of Tables... 4 Document Release History...
1. Write an equation in slope-point for this line.
1. Write an equation in slope-point for this line. 2. Which of the following equations describes the linear relation graphed below? I II! " 2 3 % & 2! ' 4 " 2 )% ' 3* 3 III 3% ' 2! & 2 " 0 A. I, II, and
Lesson 12: Ratios of Fractions and Their Unit Rates
Student Outcomes Students use ratio tables and ratio reasoning to compute unit rates associated with ratios of fractions in the context of measured quantities, e.g., recipes, lengths, areas, and speed.
Honors Geometry Summer Math Packet
Honors Geometry Summer Math Packet Dear students, The problems in this packet will give you a chance to practice geometry-related skills from Grades 6 and 7. Do your best to complete each problem so that
Print n Play Collection. Of the 12 Geometrical Puzzles
Print n Play Collection Of the 12 Geometrical Puzzles Puzzles Hexagon-Circle-Hexagon by Charles W. Trigg Regular hexagons are inscribed in and circumscribed outside a circle - as shown in the illustration.
Geometry. ELG HS.G.14: Visualize relationships between two-dimensional and three-dimensional objects.
Vertical Progression: 7 th Grade 8 th Grade Geometry 7.G.A Draw, construct, and describe geometrical figures and describe the relationships between them. o 7.G.A.3 Describe the two-dimensional figures
Sample Questions from Ga. Department of Education
Strand: Measurements & Geometry Sample Questions from Ga. Department of Education Name: Concept 1 (M18 M21): Measurements (including metric) Estimates measures in both customary and metric systems. 1.
WASHINGTON STATE MU ALPHA THETA 2009 INDIVIDUAL TEST
WASHINGTON STATE MU ALPHA THETA 009 INDIVIDUAL TEST ) What is 40% of 5 of 40? a) 9. b) 4.4 c) 36. d) 38.4 ) The area of a particular square is x square units and its perimeter is also x units. What is
Name Period Final Exam Review
Name Period Final Exam Review 1. Given XXXXXX where X(0,6), Y(4, -2), and Z(-4, -2), use the grid to below to dilate the figure by a scale factor of 1. What are the new coordinates? 2 2. What is the slope
th Grade Math Contest
2013 7 th Grade Math Contest 1. A coach spent $201 on baseball bats and gloves. Let b represent the number of bats and g represent the number of gloves. Which expression represents the number of items
Name: Class: Date: Complete each sentence with one of the following names of the geometric solids. cylinder rectangular prism cone pyrmaid
1. Use pencil and paper to answer the question. Complete each sentence with one of the following names of the geometric solids. cylinder rectangular prism cone pyrmaid a. I have a square base and I have
Tennessee. Test A Math Items Predictive Assessment See what they know. Teach what they need. *TNRC-MA06AG-201* Practice Example:
Tennessee Predictive ssessment See what they know. Teach what they need. Practice Example: Jan is third in line. Paco is fifth. How many people are between Jan and Paco?. 1 B. 2 C. 3 D. 4 B C D Test Math
Revision G4. Multiple Choice Identify the choice that best completes the statement or answers the question. 1. What is the perimeter of this figure?
Revision G4 Multiple Choice Identify the choice that best completes the statement or answers the question. 1. What is the perimeter of this figure? a. 12 cm c. 16 cm b. 24 cm d. 32 cm 2. Becky is using
Essential Mathematics Practice Problems for Exam 5 Chapter 8
Math 254B Essential Mathematics Practice Problems for Eam 5 Chapter 8 Name Date This eam is closed book and closed notes, ecept for the Geometry Formula sheet that is provided by the instructor. You can
Mathematics Materials Collections 2018 Integrated Model Spring Assessment Window
Mathematics Materials Collections 2018 Integrated Model Spring Assessment Window Dynamic Learning Maps (DLM ) testlets sometimes call for the use of specific materials. Materials are identified in the
Investigation Optimization of Perimeter, Area, and Volume Activity #1 Minimum Perimeter
Investigation Optimization of Perimeter, Area, and Volume Activity #1 Minimum Perimeter 1. Choose a bag from the table and record the number from the card in the space below. Each member of your group
Grade Pellissippi State Middle School Mathematics Competition Funded by ORAU 1. Pellissippi State. Middle School Mathematics Competition
Grade 6 008 Pellissippi State Middle School Mathematics Competition Funded by ORAU Pellissippi State Middle School Mathematics Competition Sponsored by: Oak Ridge Associated Universities Sixth Grade Scoring
4.5. Solve Problems Using Logical Reasoning. LEARN ABOUT the Math
4.5 Solve Problems Using Logical Reasoning GOAL inner diameter = 150 cm depth = 61 cm height = 64 cm Solve problems involving surface areas of prisms and cylinders using reasoning. LEARN ABOUT the Math
Grade 9 ~ Unit 1 Part 1: Square Roots
Grade 9 ~ Unit 1 Part 1: Square Roots Name : Sec 1.1: Square Roots of Perfect Squares. Review from Grade 8 If we can represent an area using squares then it is a perfect square. For example, the numbers
SMART Packet #2 Determing the Relative Error
Unit 3: Geometric Formulas SMART Packet #2 Determing the Relative Error Student: Teacher: Standards A.M.3 Calculate the relative error in measuring square and cubic units, when there is an error in the
1. An NFL playing field (not counting the end zones) is 300 feet long and 160 feet wide. What is the perimeter? What is the area?
Geometry: Perimeter and Area Practice 24 Many sports require a rectangular field of play which is a specific length and width. Use the information given in the problems below to compute the perimeter and
Math 6/7 Unit 10 - GEOMETRY - Study Guide (SOL 6.10)
Math 6/7 Unit 10 - GEOMETRY - Study Guide (SOL 6.10) Find the perimeter of the following (include the correct units): 1) 2) 5.3 cm 15 ft 15 ft 10.6 cm 18 ft P = P = Solve the following (include the correct
2002 Mount Rainier Math Invitational Fifth Grade Individual Test
Fifth Grade Individual Test written by Jerrad Neff, Alan Mak and Paul Morales Reduce all fractions and answers may be left in terms of π or use 3.14 for π. Questions 1-20 are worth 2 points each 1. What
Covering and Surrounding Practice Answers
Investigation Additional Practice. a. units, Area 8 square units b. 8 units, Area 33 square units c. 3 units, Area 33 square units d. units, 7 Area 7 square units 8. a. Students should draw and label a
Math 2202 Supplemental Final Exam
Math 2202 Supplemental Final Exam Student: Teacher: Mr. Gillett General Instructions 1. Students are required to do ALL items. 2. The examination consists of the following parts: Section A: 30 Selected
IMLEM Meet #5 March/April Intermediate Mathematics League of Eastern Massachusetts
IMLEM Meet #5 March/April 2013 Intermediate Mathematics League of Eastern Massachusetts Category 1 Mystery You may use a calculator. 1. Beth sold girl-scout cookies to some of her relatives and neighbors.
Mathematics Materials Collections 2018 Year-End Model Spring Assessment Window
Mathematics Materials Collections 2018 Year-End Model Spring Assessment Window Dynamic Learning Maps (DLM ) testlets sometimes call for the use of specific materials. Materials are identified in the Testlet
Student Teacher School. Mathematics Assesslet. Geometry
Student Teacher School 6GRADE Mathematics Assesslet Geometry All items contained in this assesslet are the property of the. Items may be used for formative purposes by the customer within their school
MTH Calculus with Analytic Geom I Project 1
MTH 229 - Calculus with Analytic Geom I Project 1 Project Instructions: 1. Mathematics: Appropriate calculus skills and mathematics must be applied. 2. Representation: Thorough Analytical and graphical
When interpreting a word problem, graphing the situation, and writing a cosine and sine equation to model the data, use the following steps:
Modeling with Sinusoidal Functions Name Date PD When interpreting a word problem, graphing the situation, and writing a cosine and sine equation to model the data, use the following steps: 1) Identify
Summer Solutions Problem Solving Level 4. Level 4. Problem Solving. Help Pages
Level Problem Solving 6 General Terms acute angle an angle measuring less than 90 addend a number being added angle formed by two rays that share a common endpoint area the size of a surface; always expressed
Ratios, Rates & Proportions
Slide 1 / 130 Ratios, Rates & Proportions Table of Contents Click on the topic to go to that section Slide 2 / 130 Writing Ratios Equivalent Ratios Rates Writing an Equivalent Rate Proportions Application
Slide 1 / 130. Ratios, Rates & Proportions
Slide 1 / 130 Ratios, Rates & Proportions Slide 2 / 130 Table of Contents Click on the topic to go to that section Writing Ratios Equivalent Ratios Rates Writing an Equivalent Rate Proportions Application
Measuring Parallelograms
4 Measuring Parallelograms In this unit, you have developed ways to find the area and perimeter of rectangles and of triangles. In this investigation you will develop ways to find the area and perimeter
Final Review. 1. On a number line, what is the distance between -9 and 6?
Name Final Review 1. On a number line, what is the distance between -9 and 6? 2. A leak in a pipe is dispensing 8 ¾ gallons in 2 ½ minutes. What is the rate/minute? 3. Compare the measures of central tendency
Math 11 Essentials Intro to Geometry
Math 11 Essentials Intro to Geometry 1. Exponents are numbers located to the upper right of a number that tell you how many factors of that number you have. For example, 5 3 means there are two factors
The Pythagorean Theorem is used in many careers on a regular basis. Construction
Applying the Pythagorean Theorem Lesson 2.5 The Pythagorean Theorem is used in many careers on a regular basis. Construction workers and cabinet makers use the Pythagorean Theorem to determine lengths
Unit 5 and 6 Exam (Modules 11 through 15)
Class: Date: Unit 5 and 6 Exam (Modules 11 through 15) Multiple Choice Identify the choice that best completes the statement or answers the question. 1. Find the value of x. Classify the triangle by its
7 th Grade 20 Day Homework Day 1
7 th Grade 20 Day Homework Day 1 1) Two hundred and twenty people applied to work at Ernest Educational Concepts. After Ms. Ernest reviewed their applications, one-fourth of the people could not pass the
Foundations of Math 11: Unit 2 Proportions. The scale factor can be written as a ratio, fraction, decimal, or percentage
Lesson 2.3 Scale Name: Definitions 1) Scale: 2) Scale Factor: The scale factor can be written as a ratio, fraction, decimal, or percentage Formula: Formula: Example #1: A small electronic part measures
Ag is More. Worksheet A Name
Ag is More Worksheet A Name Directions: Use the correct formulas to find the area, or use measurement properly to find the answers to the questions concerning by-products that come from agriculture. Show
Title: Oct 9 8:27 AM (1 of 30)
Applied Max and Min (Optimization) 1. If you have 100 feet of fencing and you want to enclose a rectangular area up against a long, straight wall, what is the largest area you can enclose? Title: Oct 9
F13 Study Guide/Practice Exam 3
F13 Study Guide/Practice Exam 3 This study guide/practice exam covers only the material since exam 2. The final exam, however, is cumulative so you should be sure to thoroughly study earlier material.
Coimisiún na Scrúduithe Stáit State Examinations Commission
2008. M26 Coimisiún na Scrúduithe Stáit State Examinations Commission LEAVING CERTIFICATE EXAMINATION 2008 MATHEMATICS FOUNDATION LEVEL PAPER 2 ( 300 marks ) MONDAY, 9 JUNE MORNING, 9:30 to 12:00 Attempt
The Nathan's Hot Dog Eating Contest is an annual American competitive-eating competition that is held each July 4 at Nathan's Famous New York
The Nathan's Hot Dog Eating Contest is an annual American competitive-eating competition that is held each July 4 at Nathan's Famous New York restaurant. In 2011 over 40,000 spectators attended the event,
Classwork. Opening Exercise. Discussion. A box needs to be painted. How many square inches will need to be painted to cover every surface? 6in. 12 in.
Classwork Opening Exercise A box needs to be painted. How many square inches will need to be painted to cover every surface? 6in. 15 in. 12 in. A juice box is 4 in. tall, 1 in. wide, and 2 in. long. How
Noise walls Some Noise Facts
What is noise? Noise is unwanted sound. Noise is perceived differently by every individual. A noise that is irritating one person may be tolerant to another. Sound is transmitted by pressure variations
Ohio s State Tests PRACTICE TEST ALGEBRA I. Student Name
Ohio s State Tests PRACTICE TEST ALGEBRA I Student Name The Ohio Department of Education does not discriminate on the basis of race, color, national origin, sex, religion, age, or disability in employment
Grade 3 Measurement and Data 3.MD.7a-d
THE NEWARK PUBLIC SCHOOLS THE OFFICE OF MATHEMATICS Grade 3 Measurement and Data 3.MD.7a-d Student Pages 2012 COMMON CORE STATE STANDARDS ALIGNED MODULES Grade 3 - Lesson 1 Assessment Task Imagine that
2003 Exit 13) Use the information in each diagram to find the pair of similar polygons. A B C D
2003 Exit 9) Use the ruler on the Mathematics hart to measure the dimensions of the composite figure to the nearest tenth of a centimeter. Which best represents the approximate area of this composite figure?
Name Period Date. are equivalent because they both simplify to 43. Two fractions are equivalent when they simplify to the same value.
Lesson C ~ Ratios 3 6 Two fractions are equivalent when they simplify to the same value. For example, 4 and 8 are equivalent because they both simplify to 43. This means the ratios 3 : 4 and 6: 8 are equivalent
KCATM Geometry
Name School KCATM Geometry 9 10 2013 1) Find the minimum perimeter of a rectangle whose area is 169 square meters. a) 42 meters b) 13 meters c) 26 meters d) 52 meters 2) Find the coordinates of the midpoint
Biomedical Engineering Prosthetic Arm DEMONSTRATION EVENT
Biomedical Engineering Prosthetic Arm DEMONSTRATION EVENT LEVEL: Grades 11 and 12 MESA DAY CONTEST RULES 2009-2010 TYPE OF CONTEST: COMPOSITION OF TEAMS: NUMBER OF TEAMS: SPONSOR: Individual / Team 1-2
Variables and Algebraic Expressions
Practice A Find the value of n 3 for each value of n. 1. n 4 2. n 7 3. n 0 4. n 32 Find the value of x 9 for each value of x. 5. x 12 6. x 57 7. x 19 8. x 100 Find the value of each expression using the
JK XY LJ LJ ZX KL KL YZ LJ KL YX KJ. Final Exam Review Modules 10 16, 18 19
Geometry Final Exam Review Modules 10 16, 18 19 Use the following information for 1 3. The figure is symmetric about the x axis. Name: 6. In this figure ~. Which statement is not true? A JK XY LJ ZX C